Identifier
Mp00016:
Binary trees
—left-right symmetry⟶
Binary trees
Mp00012: Binary trees —to Dyck path: up step, left tree, down step, right tree⟶ Dyck paths
Mp00024: Dyck paths —to 321-avoiding permutation⟶ Permutations
Mp00012: Binary trees —to Dyck path: up step, left tree, down step, right tree⟶ Dyck paths
Mp00024: Dyck paths —to 321-avoiding permutation⟶ Permutations
Images
[.,.] => [.,.] => [1,0] => [1]
[.,[.,.]] => [[.,.],.] => [1,1,0,0] => [1,2]
[[.,.],.] => [.,[.,.]] => [1,0,1,0] => [2,1]
[.,[.,[.,.]]] => [[[.,.],.],.] => [1,1,1,0,0,0] => [1,2,3]
[.,[[.,.],.]] => [[.,[.,.]],.] => [1,1,0,1,0,0] => [1,3,2]
[[.,.],[.,.]] => [[.,.],[.,.]] => [1,1,0,0,1,0] => [3,1,2]
[[.,[.,.]],.] => [.,[[.,.],.]] => [1,0,1,1,0,0] => [2,3,1]
[[[.,.],.],.] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => [2,1,3]
[.,[.,[.,[.,.]]]] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => [1,2,3,4]
[.,[.,[[.,.],.]]] => [[[.,[.,.]],.],.] => [1,1,1,0,1,0,0,0] => [1,2,4,3]
[.,[[.,.],[.,.]]] => [[[.,.],[.,.]],.] => [1,1,1,0,0,1,0,0] => [1,4,2,3]
[.,[[.,[.,.]],.]] => [[.,[[.,.],.]],.] => [1,1,0,1,1,0,0,0] => [1,3,4,2]
[.,[[[.,.],.],.]] => [[.,[.,[.,.]]],.] => [1,1,0,1,0,1,0,0] => [1,3,2,4]
[[.,.],[.,[.,.]]] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => [4,1,2,3]
[[.,.],[[.,.],.]] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => [3,1,2,4]
[[.,[.,.]],[.,.]] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => [3,4,1,2]
[[[.,.],.],[.,.]] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => [3,1,4,2]
[[.,[.,[.,.]]],.] => [.,[[[.,.],.],.]] => [1,0,1,1,1,0,0,0] => [2,3,4,1]
[[.,[[.,.],.]],.] => [.,[[.,[.,.]],.]] => [1,0,1,1,0,1,0,0] => [2,3,1,4]
[[[.,.],[.,.]],.] => [.,[[.,.],[.,.]]] => [1,0,1,1,0,0,1,0] => [2,1,3,4]
[[[.,[.,.]],.],.] => [.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0] => [2,4,1,3]
[[[[.,.],.],.],.] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => [2,1,4,3]
[.,[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],.] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5]
[.,[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],.] => [1,1,1,1,0,1,0,0,0,0] => [1,2,3,5,4]
[.,[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],.] => [1,1,1,1,0,0,1,0,0,0] => [1,2,5,3,4]
[.,[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],.] => [1,1,1,0,1,1,0,0,0,0] => [1,2,4,5,3]
[.,[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,1,0,1,0,0,0] => [1,2,4,3,5]
[.,[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0] => [1,5,2,3,4]
[.,[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0] => [1,4,2,3,5]
[.,[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => [1,4,5,2,3]
[.,[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],.] => [1,1,1,0,0,1,0,1,0,0] => [1,4,2,5,3]
[.,[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,0] => [1,3,4,5,2]
[.,[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],.] => [1,1,0,1,1,0,1,0,0,0] => [1,3,4,2,5]
[.,[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,0,0] => [1,3,2,4,5]
[.,[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],.] => [1,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4]
[.,[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],.] => [1,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4]
[[.,.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4]
[[.,.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => [4,1,2,3,5]
[[.,.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => [4,1,2,5,3]
[[.,.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => [3,1,2,4,5]
[[.,.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,.]] => [1,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4]
[[.,[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3]
[[.,[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4]
[[[.,.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => [4,1,5,2,3]
[[[.,.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4]
[[.,[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2]
[[.,[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,1,0,0] => [3,4,1,5,2]
[[[.,.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => [3,1,4,5,2]
[[[.,[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,1,0,0] => [3,4,1,2,5]
[[[[.,.],.],.],[.,.]] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,5]
[[.,[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1]
[[.,[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,1,0,0,0] => [2,3,4,1,5]
[[.,[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => [2,3,1,4,5]
[[.,[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4]
[[.,[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,1,0,1,0,0] => [2,3,1,5,4]
[[[.,.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,0,0,0,1,0] => [2,1,3,4,5]
[[[.,.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,0,1,0,0,1,0] => [2,1,3,5,4]
[[[.,[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,0,0,1,1,0,0] => [2,5,1,3,4]
[[[[.,.],.],[.,.]],.] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,0,0,1,0,1,0] => [2,1,5,3,4]
[[[.,[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,1,0,0,0] => [2,4,5,1,3]
[[[.,[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,1,0,0] => [2,4,1,5,3]
[[[[.,.],[.,.]],.],.] => [.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,0,0,1,0] => [2,1,4,5,3]
[[[[.,[.,.]],.],.],.] => [.,[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,5]
[[[[[.,.],.],.],.],.] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,5]
[.,[.,[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6]
[.,[.,[.,[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5]
[.,[.,[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],.],.] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,2,3,6,4,5]
[.,[.,[.,[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,2,3,5,6,4]
[.,[.,[.,[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,6]
[.,[.,[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5]
[.,[.,[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,2,5,3,4,6]
[.,[.,[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,2,5,6,3,4]
[.,[.,[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,2,5,3,6,4]
[.,[.,[[.,[.,[.,.]]],.]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,2,4,5,6,3]
[.,[.,[[.,[[.,.],.]],.]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,2,4,5,3,6]
[.,[.,[[[.,.],[.,.]],.]]] => [[[.,[[.,.],[.,.]]],.],.] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,2,4,3,5,6]
[.,[.,[[[.,[.,.]],.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,2,4,6,3,5]
[.,[.,[[[[.,.],.],.],.]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5]
[.,[[.,.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,5]
[.,[[.,.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,5,2,3,4,6]
[.,[[.,.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,3,6,4]
[.,[[.,.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,4,2,3,5,6]
[.,[[.,.],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,4,2,3,6,5]
[.,[[.,[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,5,6,2,3,4]
[.,[[.,[.,.]],[[.,.],.]]] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,4,6,2,3,5]
[.,[[[.,.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,5,2,6,3,4]
[.,[[[.,.],.],[[.,.],.]]] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,4,2,6,3,5]
[.,[[.,[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,5,6,2,3]
[.,[[.,[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,5,2,6,3]
[.,[[[.,.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,6,3]
[.,[[[.,[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6]
[.,[[[[.,.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,2,5,3,6]
[.,[[.,[.,[.,[.,.]]]],.]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,4,5,6,2]
[.,[[.,[.,[[.,.],.]]],.]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,4,5,2,6]
[.,[[.,[[.,.],[.,.]]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,4,2,5,6]
[.,[[.,[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,4,6,2,5]
[.,[[.,[[[.,.],.],.]],.]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,4,2,6,5]
[.,[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,2,4,5,6]
[.,[[[.,.],[[.,.],.]],.]] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,2,4,6,5]
[.,[[[.,[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,6,2,4,5]
[.,[[[[.,.],.],[.,.]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,2,6,4,5]
>>> Load all 2368 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,6,2,4]
[.,[[[.,[[.,.],.]],.],.]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,2,6,4]
[.,[[[[.,.],[.,.]],.],.]] => [[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,2,5,6,4]
[.,[[[[.,[.,.]],.],.],.]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,6]
[.,[[[[[.,.],.],.],.],.]] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,6]
[[.,.],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5]
[[.,.],[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,4,6]
[[.,.],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,1,2,3,6,4]
[[.,.],[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,5,6]
[[.,.],[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [4,1,2,3,6,5]
[[.,.],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,4]
[[.,.],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,2,6,3,5]
[[.,.],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [4,1,2,5,6,3]
[[.,.],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [4,1,2,5,3,6]
[[.,.],[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,5,6]
[[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,4,6,5]
[[.,.],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,6,4,5]
[[.,.],[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [3,1,2,5,6,4]
[[.,.],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4,6]
[[.,[.,.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4]
[[.,[.,.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,6,1,2,3,5]
[[.,[.,.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,3,6]
[[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [3,6,1,2,4,5]
[[.,[.,.]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,6]
[[[.,.],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,1,6,2,3,4]
[[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,6,2,3,5]
[[[.,.],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [4,1,5,2,3,6]
[[[.,.],.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,6,2,4,5]
[[[.,.],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4,6]
[[.,[.,[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3]
[[.,[.,[.,.]]],[[.,.],.]] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,5,6,1,2,4]
[[.,[[.,.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,5,1,6,2,3]
[[.,[[.,.],.]],[[.,.],.]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [3,5,1,6,2,4]
[[[.,.],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [4,1,5,6,2,3]
[[[.,.],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,5,6,2,4]
[[[.,[.,.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,5,1,2,6,3]
[[[.,[.,.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [3,5,1,2,6,4]
[[[[.,.],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [4,1,5,2,6,3]
[[[[.,.],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,6,4]
[[.,[.,[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,5,6,1,2]
[[.,[.,[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,4,5,1,6,2]
[[.,[[.,.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [3,4,1,5,6,2]
[[.,[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,4,5,1,2,6]
[[.,[[[.,.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [3,4,1,5,2,6]
[[[.,.],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [3,1,4,5,6,2]
[[[.,.],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [3,1,4,5,2,6]
[[[.,[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,5,6]
[[[[.,.],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [3,1,4,2,5,6]
[[[.,[.,[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,4,6,1,2,5]
[[[.,[[.,.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [3,4,1,6,2,5]
[[[[.,.],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [3,1,4,6,2,5]
[[[[.,[.,.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => [3,4,1,2,6,5]
[[[[[.,.],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5]
[[.,[.,[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1]
[[.,[.,[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,4,5,1,6]
[[.,[.,[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,4,1,5,6]
[[.,[.,[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,4,6,1,5]
[[.,[.,[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [2,3,4,1,6,5]
[[.,[[.,.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,5,6]
[[.,[[.,.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [2,3,1,4,6,5]
[[.,[[.,[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,6,1,4,5]
[[.,[[[.,.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,6,4,5]
[[.,[[.,[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,6,1,4]
[[.,[[.,[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [2,3,5,1,6,4]
[[.,[[[.,.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [2,3,1,5,6,4]
[[.,[[[.,[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,6]
[[.,[[[[.,.],.],.],.]],.] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,1,5,4,6]
[[[.,.],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,5,6]
[[[.,.],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,3,4,6,5]
[[[.,.],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,3,6,4,5]
[[[.,.],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,3,5,6,4]
[[[.,.],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,6]
[[[.,[.,.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [2,6,1,3,4,5]
[[[.,[.,.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [2,5,1,3,4,6]
[[[[.,.],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,6,3,4,5]
[[[[.,.],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,5,3,4,6]
[[[.,[.,[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [2,5,6,1,3,4]
[[[.,[[.,.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [2,5,1,6,3,4]
[[[[.,.],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,5,6,3,4]
[[[[.,[.,.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [2,5,1,3,6,4]
[[[[[.,.],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,5,3,6,4]
[[[.,[.,[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,5,6,1,3]
[[[.,[.,[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [2,4,5,1,6,3]
[[[.,[[.,.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [2,4,1,5,6,3]
[[[.,[[.,[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,5,1,3,6]
[[[.,[[[.,.],.],.]],.],.] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [2,4,1,5,3,6]
[[[[.,.],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,5,6,3]
[[[[.,.],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6]
[[[[.,[.,.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,5,6]
[[[[[.,.],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6]
[[[[.,[.,[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5]
[[[[.,[[.,.],.]],.],.],.] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5]
[[[[[.,.],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5]
[[[[[.,[.,.]],.],.],.],.] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5]
[[[[[[.,.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[[[[.,.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [[[[[[.,[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,2,3,4,5,7,6]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,2,3,4,7,5,6]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [[[[[.,[[.,.],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,2,3,4,6,7,5]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5,7]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,3,7,4,5,6]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,2,3,6,4,5,7]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,2,3,6,7,4,5]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,2,3,6,4,7,5]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,2,3,5,6,7,4]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,2,3,5,6,4,7]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,2,3,5,4,6,7]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,2,3,5,7,4,6]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,7,6]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,7,3,4,5,6]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5,7]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,6,3,4,7,5]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,2,5,3,4,6,7]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,2,5,3,4,7,6]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,7,3,4,5]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,2,5,7,3,4,6]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,3,7,4,5]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,2,5,3,7,4,6]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,2,5,6,7,3,4]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,2,5,6,3,7,4]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,2,5,3,6,7,4]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,2,5,6,3,4,7]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,2,5,3,6,4,7]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,2,4,5,6,7,3]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,2,4,5,6,3,7]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,2,4,5,3,6,7]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,2,4,5,7,3,6]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,2,4,5,3,7,6]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,2,4,3,5,6,7]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,2,4,3,5,7,6]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,2,4,7,3,5,6]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,2,4,3,7,5,6]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,2,4,6,7,3,5]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,2,4,6,3,7,5]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,2,4,3,6,7,5]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,2,4,6,3,5,7]
[.,[.,[[[[[.,.],.],.],.],.]]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5,7]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7,2,3,4,5,6]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,6,2,3,4,5,7]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,4,7,5]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,5,2,3,4,6,7]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,5,2,3,4,7,6]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,6,2,3,7,4,5]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,5,2,3,7,4,6]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,6,7,4]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,2,3,6,4,7]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,4,2,3,5,6,7]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,4,2,3,5,7,6]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,4,2,3,7,5,6]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,4,2,3,6,7,5]
[.,[[.,.],[[[[.,.],.],.],.]]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,4,2,3,6,5,7]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,7,2,3,4,5]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,5,7,2,3,4,6]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,6,2,3,4,7]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,4,7,2,3,5,6]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,4,6,2,3,5,7]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,6,2,7,3,4,5]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,5,2,7,3,4,6]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,3,4,7]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,4,2,7,3,5,6]
[.,[[[.,.],.],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,4,2,6,3,5,7]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,5,6,7,2,3,4]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,4,6,7,2,3,5]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,5,6,2,7,3,4]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,7,3,5]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,5,2,6,7,3,4]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,7,3,5]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,5,6,2,3,7,4]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,4,6,2,3,7,5]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,5,2,6,3,7,4]
[.,[[[[.,.],.],.],[[.,.],.]]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,4,2,6,3,7,5]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,5,6,7,2,3]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,5,6,2,7,3]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,5,2,6,7,3]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,5,6,2,3,7]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,5,2,6,3,7]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,5,6,7,3]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,2,5,6,3,7]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,5,2,3,6,7]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,5,3,6,7]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,7,2,3,6]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,5,2,7,3,6]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,2,5,7,3,6]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,5,2,3,7,6]
[.,[[[[[.,.],.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,2,5,3,7,6]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,4,5,6,7,2]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,3,4,5,6,2,7]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,3,4,5,2,6,7]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,3,4,5,7,2,6]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,3,4,5,2,7,6]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,3,4,2,5,6,7]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,4,2,5,7,6]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,3,4,7,2,5,6]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,3,4,2,7,5,6]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,3,4,6,7,2,5]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,4,6,2,7,5]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,3,4,2,6,7,5]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,3,4,6,2,5,7]
[.,[[.,[[[[.,.],.],.],.]],.]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,3,4,2,6,5,7]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,3,2,4,5,6,7]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,3,2,4,5,7,6]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,3,2,4,7,5,6]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,3,2,4,6,7,5]
[.,[[[.,.],[[[.,.],.],.]],.]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,3,2,4,6,5,7]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,3,7,2,4,5,6]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,3,6,2,4,5,7]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,3,2,7,4,5,6]
[.,[[[[.,.],.],[[.,.],.]],.]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,3,2,6,4,5,7]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,3,6,7,2,4,5]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,3,6,2,7,4,5]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,6,7,4,5]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,3,6,2,4,7,5]
[.,[[[[[.,.],.],.],[.,.]],.]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,3,2,6,4,7,5]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,3,5,6,7,2,4]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,3,5,6,2,7,4]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,3,5,2,6,7,4]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,6,2,4,7]
[.,[[[.,[[[.,.],.],.]],.],.]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,2,6,4,7]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,3,2,5,6,7,4]
[.,[[[[.,.],[[.,.],.]],.],.]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,3,2,5,6,4,7]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,2,4,6,7]
[.,[[[[[.,.],.],[.,.]],.],.]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,3,2,5,4,6,7]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,7,2,4,6]
[.,[[[[.,[[.,.],.]],.],.],.]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,2,7,4,6]
[.,[[[[[.,.],[.,.]],.],.],.]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,3,2,5,7,4,6]
[.,[[[[[.,[.,.]],.],.],.],.]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,7,6]
[.,[[[[[[.,.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,7,6]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,1,2,3,4,7,5]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6,7]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,1,2,3,4,7,6]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,1,2,3,7,4,5]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,2,3,7,4,6]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [5,1,2,3,6,7,4]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [5,1,2,3,6,4,7]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,6,7]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,1,2,3,5,7,6]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,2,3,7,5,6]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,7,5]
[[.,.],[.,[[[[.,.],.],.],.]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [4,1,2,3,6,5,7]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [6,1,2,7,3,4,5]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,7,3,4,6]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [5,1,2,6,3,4,7]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,7,3,5,6]
[[.,.],[[.,.],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [4,1,2,6,3,5,7]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [5,1,2,6,7,3,4]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,2,6,7,3,5]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [5,1,2,6,3,7,4]
[[.,.],[[[.,.],.],[[.,.],.]]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [4,1,2,6,3,7,5]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [4,1,2,5,6,7,3]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [4,1,2,5,6,3,7]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [4,1,2,5,3,6,7]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [4,1,2,5,7,3,6]
[[.,.],[[[[.,.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [4,1,2,5,3,7,6]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,6,7]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,1,2,4,5,7,6]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,2,4,7,5,6]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,1,2,4,6,7,5]
[[.,.],[[.,[[[.,.],.],.]],.]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,1,2,4,6,5,7]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,7,4,5,6]
[[.,.],[[[.,.],[[.,.],.]],.]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,1,2,6,4,5,7]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,2,6,7,4,5]
[[.,.],[[[[.,.],.],[.,.]],.]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [3,1,2,6,4,7,5]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,5,6,7,4]
[[.,.],[[[.,[[.,.],.]],.],.]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,5,6,4,7]
[[.,.],[[[[.,.],[.,.]],.],.]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,5,4,6,7]
[[.,.],[[[[.,[.,.]],.],.],.]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,1,2,5,7,4,6]
[[.,.],[[[[[.,.],.],.],.],.]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4,7,6]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [6,7,1,2,3,4,5]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,7,1,2,3,4,6]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [5,6,1,2,3,4,7]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,7,1,2,3,5,6]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [4,6,1,2,3,5,7]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [5,6,1,2,3,7,4]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [4,6,1,2,3,7,5]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3,6,7]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [4,5,1,2,3,7,6]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,7,1,2,4,5,6]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,6,1,2,4,5,7]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,6,1,2,4,7,5]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [3,5,1,2,4,6,7]
[[.,[.,.]],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,7,6]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [6,1,7,2,3,4,5]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,7,2,3,4,6]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [5,1,6,2,3,4,7]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,7,2,3,5,6]
[[[.,.],.],[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [4,1,6,2,3,5,7]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [5,1,6,2,3,7,4]
[[[.,.],.],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [4,1,6,2,3,7,5]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [4,1,5,2,3,6,7]
[[[.,.],.],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [4,1,5,2,3,7,6]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,7,2,4,5,6]
[[[.,.],.],[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,1,6,2,4,5,7]
[[[.,.],.],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,1,6,2,4,7,5]
[[[.,.],.],[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [3,1,5,2,4,6,7]
[[[.,.],.],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4,7,6]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [5,6,7,1,2,3,4]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,6,7,1,2,3,5]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [4,5,7,1,2,3,6]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,6,7,1,2,4,5]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,5,7,1,2,4,6]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [5,6,1,7,2,3,4]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,6,1,7,2,3,5]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [4,5,1,7,2,3,6]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,6,1,7,2,4,5]
[[.,[[.,.],.]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [3,5,1,7,2,4,6]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [5,1,6,7,2,3,4]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,1,6,7,2,3,5]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [4,1,5,7,2,3,6]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,6,7,2,4,5]
[[[.,.],[.,.]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,1,5,7,2,4,6]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [5,6,1,2,7,3,4]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,6,1,2,7,3,5]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [4,5,1,2,7,3,6]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,6,1,2,7,4,5]
[[[.,[.,.]],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [3,5,1,2,7,4,6]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [5,1,6,2,7,3,4]
[[[[.,.],.],.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,6,2,7,3,5]
[[[[.,.],.],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [4,1,5,2,7,3,6]
[[[[.,.],.],.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,1,6,2,7,4,5]
[[[[.,.],.],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,7,4,6]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,1,2,3]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,5,6,7,1,2,4]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [4,5,6,1,7,2,3]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,5,6,1,7,2,4]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [4,5,1,6,7,2,3]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,5,1,6,7,2,4]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [4,5,6,1,2,7,3]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,5,6,1,2,7,4]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [4,5,1,6,2,7,3]
[[.,[[[.,.],.],.]],[[.,.],.]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,5,1,6,2,7,4]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [4,1,5,6,7,2,3]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,5,6,7,2,4]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [4,1,5,6,2,7,3]
[[[.,.],[[.,.],.]],[[.,.],.]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,5,6,2,7,4]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [4,5,1,2,6,7,3]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,5,1,2,6,7,4]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [4,1,5,2,6,7,3]
[[[[.,.],.],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,5,2,6,7,4]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [4,5,6,1,2,3,7]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,5,6,1,2,4,7]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [4,5,1,6,2,3,7]
[[[.,[[.,.],.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,5,1,6,2,4,7]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,5,6,2,3,7]
[[[[.,.],[.,.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,5,6,2,4,7]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [4,5,1,2,6,3,7]
[[[[.,[.,.]],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,5,1,2,6,4,7]
[[[[[.,.],.],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,5,2,6,3,7]
[[[[[.,.],.],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,5,2,6,4,7]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,4,5,6,7,1,2]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,4,5,6,1,7,2]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,4,5,1,6,7,2]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [3,4,5,6,1,2,7]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [3,4,5,1,6,2,7]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,4,1,5,6,7,2]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,4,1,5,6,2,7]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,4,5,1,2,6,7]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [3,4,1,5,2,6,7]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,4,5,7,1,2,6]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,4,5,1,7,2,6]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [3,4,1,5,7,2,6]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,7,6]
[[.,[[[[.,.],.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [3,4,1,5,2,7,6]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,5,6,7,2]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [3,1,4,5,6,2,7]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [3,1,4,5,2,6,7]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,1,4,5,7,2,6]
[[[.,.],[[[.,.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [3,1,4,5,2,7,6]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [3,4,1,2,5,6,7]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [3,4,1,2,5,7,6]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [3,1,4,2,5,6,7]
[[[[.,.],.],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [3,1,4,2,5,7,6]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,4,7,1,2,5,6]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,4,1,7,2,5,6]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,4,7,2,5,6]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [3,4,1,2,7,5,6]
[[[[[.,.],.],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,7,5,6]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,4,6,7,1,2,5]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,4,6,1,7,2,5]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,4,1,6,7,2,5]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,4,6,1,2,7,5]
[[[.,[[[.,.],.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,4,1,6,2,7,5]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,7,2,5]
[[[[.,.],[[.,.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,4,6,2,7,5]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,7,5]
[[[[[.,.],.],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,4,2,6,7,5]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,4,6,1,2,5,7]
[[[[.,[[.,.],.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,4,1,6,2,5,7]
[[[[[.,.],[.,.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,4,6,2,5,7]
[[[[[.,[.,.]],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,4,1,2,6,5,7]
[[[[[[.,.],.],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5,7]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [.,[[[[[.,[.,.]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,3,4,5,6,1,7]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [.,[[[[[.,.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,3,4,5,1,6,7]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [.,[[[[.,[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,4,5,7,1,6]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,3,4,5,1,7,6]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,3,4,1,5,6,7]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,3,4,1,5,7,6]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,3,4,7,1,5,6]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,3,4,1,7,5,6]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [.,[[[.,[[[.,.],.],.]],.],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,6,7,1,5]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,3,4,6,1,7,5]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,3,4,1,6,7,5]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,3,4,6,1,5,7]
[[.,[.,[[[[.,.],.],.],.]]],.] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,3,4,1,6,5,7]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,3,1,4,5,6,7]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,3,1,4,5,7,6]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,4,7,5,6]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,3,1,4,6,7,5]
[[.,[[.,.],[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,3,1,4,6,5,7]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [.,[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,3,7,1,4,5,6]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,3,6,1,4,5,7]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,7,4,5,6]
[[.,[[[.,.],.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,3,1,6,4,5,7]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [.,[[[.,.],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,3,6,7,1,4,5]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,3,6,1,7,4,5]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,3,1,6,7,4,5]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,3,6,1,4,7,5]
[[.,[[[[.,.],.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,6,4,7,5]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [.,[[.,[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,5,6,7,1,4]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,5,6,1,7,4]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,5,1,6,7,4]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,6,1,4,7]
[[.,[[.,[[[.,.],.],.]],.]],.] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,1,6,4,7]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1,5,6,7,4]
[[.,[[[.,.],[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,3,1,5,6,4,7]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,1,4,6,7]
[[.,[[[[.,.],.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,3,1,5,4,6,7]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,5,7,1,4,6]
[[.,[[[.,[[.,.],.]],.],.]],.] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,1,7,4,6]
[[.,[[[[.,.],[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,1,5,7,4,6]
[[.,[[[[.,[.,.]],.],.],.]],.] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,7,6]
[[.,[[[[[.,.],.],.],.],.]],.] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,5,4,7,6]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,1,3,4,5,7,6]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,3,4,7,5,6]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,1,3,4,6,7,5]
[[[.,.],[.,[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,1,3,4,6,5,7]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,7,4,5,6]
[[[.,.],[[.,.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,1,3,6,4,5,7]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,3,6,7,4,5]
[[[.,.],[[[.,.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,3,6,4,7,5]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,5,6,7,4]
[[[.,.],[[.,[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,1,3,5,6,4,7]
[[[.,.],[[[.,.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,1,3,5,4,6,7]
[[[.,.],[[[.,[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,3,5,7,4,6]
[[[.,.],[[[[.,.],.],.],.]],.] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,7,6]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,7,1,3,4,5,6]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,6,1,3,4,5,7]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,6,1,3,4,7,5]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,5,1,3,4,6,7]
[[[.,[.,.]],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,5,1,3,4,7,6]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,7,3,4,5,6]
[[[[.,.],.],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,1,6,3,4,5,7]
[[[[.,.],.],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,6,3,4,7,5]
[[[[.,.],.],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,1,5,3,4,6,7]
[[[[.,.],.],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,5,3,4,7,6]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,6,7,1,3,4,5]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,5,7,1,3,4,6]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,6,1,7,3,4,5]
[[[.,[[.,.],.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,5,1,7,3,4,6]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,6,7,3,4,5]
[[[[.,.],[.,.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,5,7,3,4,6]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,6,1,3,7,4,5]
[[[[.,[.,.]],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,5,1,3,7,4,6]
[[[[[.,.],.],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,6,3,7,4,5]
[[[[[.,.],.],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,5,3,7,4,6]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,5,6,7,1,3,4]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,5,6,1,7,3,4]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,5,1,6,7,3,4]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,5,6,1,3,7,4]
[[[.,[[[.,.],.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,5,1,6,3,7,4]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,6,7,3,4]
[[[[.,.],[[.,.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,5,1,3,6,7,4]
[[[[[.,.],.],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,5,6,1,3,4,7]
[[[[.,[[.,.],.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,5,1,6,3,4,7]
[[[[[.,.],[.,.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,5,6,3,4,7]
[[[[[.,[.,.]],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,5,1,3,6,4,7]
[[[[[[.,.],.],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,5,3,6,4,7]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [.,[.,[[[[[.,.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,4,5,6,7,1,3]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,4,5,6,1,7,3]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,4,5,1,6,7,3]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,4,5,6,1,3,7]
[[[.,[.,[[[.,.],.],.]]],.],.] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,4,5,1,6,3,7]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1,5,6,7,3]
[[[.,[[.,.],[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,4,1,5,6,3,7]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,4,5,1,3,6,7]
[[[.,[[[.,.],.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,4,1,5,3,6,7]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,5,7,1,3,6]
[[[.,[[.,[[.,.],.]],.]],.],.] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,5,1,7,3,6]
[[[.,[[[.,.],[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,5,7,3,6]
[[[.,[[[.,[.,.]],.],.]],.],.] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,7,6]
[[[.,[[[[.,.],.],.],.]],.],.] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,1,5,3,7,6]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,5,6,7,3]
[[[[.,.],[.,[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,5,6,3,7]
[[[[.,.],[[.,.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,5,3,6,7]
[[[[.,.],[[.,[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,5,7,3,6]
[[[[.,.],[[[.,.],.],.]],.],.] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,5,3,7,6]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,4,1,3,5,6,7]
[[[[.,[.,.]],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,3,5,7,6]
[[[[[.,.],.],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,4,3,5,6,7]
[[[[[.,.],.],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,3,5,7,6]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,4,7,1,3,5,6]
[[[[.,[[.,.],.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,4,1,7,3,5,6]
[[[[[.,.],[.,.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,7,3,5,6]
[[[[[.,[.,.]],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,4,1,3,7,5,6]
[[[[[[.,.],.],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,7,5,6]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,6,7,1,3,5]
[[[[.,[.,[[.,.],.]]],.],.],.] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,4,6,1,7,3,5]
[[[[.,[[.,.],[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,4,1,6,7,3,5]
[[[[.,[[.,[.,.]],.]],.],.],.] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,6,1,3,7,5]
[[[[.,[[[.,.],.],.]],.],.],.] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,4,1,6,3,7,5]
[[[[[.,.],[.,[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,6,7,3,5]
[[[[[.,.],[[.,.],.]],.],.],.] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,6,3,7,5]
[[[[[.,[.,.]],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,6,7,5]
[[[[[[.,.],.],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,7,5]
[[[[[.,[.,[.,.]]],.],.],.],.] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5,7]
[[[[[.,[[.,.],.]],.],.],.],.] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5,7]
[[[[[[.,.],[.,.]],.],.],.],.] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5,7]
[[[[[[.,[.,.]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5,7]
[[[[[[[.,.],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,7]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,8,7]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,2,3,4,5,8,6,7]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,7,8,6]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,2,3,4,5,7,6,8]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,2,3,4,8,5,6,7]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,2,3,4,7,5,6,8]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,2,3,4,7,8,5,6]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,2,3,4,7,5,8,6]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,6,7,8,5]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,2,3,4,6,7,5,8]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,2,3,4,6,5,7,8]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,2,3,4,6,8,5,7]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5,8,7]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,2,3,8,4,5,6,7]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,2,3,7,4,5,6,8]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,2,3,7,4,5,8,6]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,2,3,6,4,5,7,8]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,2,3,6,4,5,8,7]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,2,3,7,8,4,5,6]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,2,3,6,8,4,5,7]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,2,3,7,4,8,5,6]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,2,3,6,4,8,5,7]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,2,3,6,7,8,4,5]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,2,3,6,7,4,8,5]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,2,3,6,4,7,8,5]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,2,3,6,7,4,5,8]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,2,3,6,4,7,5,8]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,5,6,7,8,4]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,2,3,5,6,7,4,8]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,2,3,5,6,4,7,8]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,2,3,5,6,8,4,7]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,2,3,5,6,4,8,7]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,2,3,5,4,6,7,8]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,2,3,5,4,6,8,7]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,2,3,5,8,4,6,7]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,2,3,5,4,8,6,7]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,2,3,5,7,8,4,6]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,2,3,5,7,4,8,6]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,2,3,5,4,7,8,6]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,2,3,5,7,4,6,8]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,7,6,8]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,2,8,3,4,5,6,7]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,2,7,3,4,5,6,8]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,2,7,3,4,5,8,6]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,2,6,3,4,5,7,8]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5,8,7]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,2,7,3,4,8,5,6]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,2,6,3,4,8,5,7]
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,7,8,5]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,2,6,3,4,7,5,8]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,2,5,3,4,6,7,8]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,2,5,3,4,6,8,7]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,2,5,3,4,8,6,7]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,2,5,3,4,7,8,6]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,2,5,3,4,7,6,8]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,2,7,8,3,4,5,6]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,2,6,8,3,4,5,7]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,2,6,7,3,4,5,8]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,2,5,8,3,4,6,7]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,2,5,7,3,4,6,8]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,2,7,3,8,4,5,6]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,2,6,3,8,4,5,7]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,2,6,3,7,4,5,8]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,2,5,3,8,4,6,7]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,2,5,3,7,4,6,8]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,2,6,7,8,3,4,5]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,2,5,7,8,3,4,6]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [[[[[.,.],.],[[.,[.,.]],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,2,6,7,3,8,4,5]
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,2,5,7,3,8,4,6]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,2,6,3,7,8,4,5]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,2,5,3,7,8,4,6]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,2,6,7,3,4,8,5]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,2,5,7,3,4,8,6]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,2,6,3,7,4,8,5]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,2,5,3,7,4,8,6]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,2,5,6,7,8,3,4]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,2,5,6,7,3,8,4]
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,2,5,6,3,7,8,4]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,2,5,6,7,3,4,8]
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,2,5,6,3,7,4,8]
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,2,5,3,6,7,8,4]
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,2,5,3,6,7,4,8]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,2,5,6,3,4,7,8]
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,2,5,3,6,4,7,8]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,2,5,6,8,3,4,7]
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,2,5,6,3,8,4,7]
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,2,5,3,6,8,4,7]
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,2,5,6,3,4,8,7]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,2,5,3,6,4,8,7]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,4,5,6,7,8,3]
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,2,4,5,6,7,3,8]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,2,4,5,6,3,7,8]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,2,4,5,6,8,3,7]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,2,4,5,6,3,8,7]
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,4,5,3,6,7,8]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,2,4,5,3,6,8,7]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [[[.,[[[.,.],[[.,.],.]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,2,4,5,8,3,6,7]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,2,4,5,3,8,6,7]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,2,4,5,7,8,3,6]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,2,4,5,7,3,8,6]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,2,4,5,3,7,8,6]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,2,4,5,7,3,6,8]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,2,4,5,3,7,6,8]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,4,3,5,6,7,8]
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,2,4,3,5,6,8,7]
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,4,3,5,8,6,7]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,2,4,3,5,7,8,6]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,2,4,3,5,7,6,8]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,4,8,3,5,6,7]
[.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,2,4,7,3,5,6,8]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,4,3,8,5,6,7]
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,2,4,3,7,5,6,8]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,2,4,7,8,3,5,6]
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,2,4,7,3,8,5,6]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,2,4,3,7,8,5,6]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,2,4,7,3,5,8,6]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,2,4,3,7,5,8,6]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,2,4,6,7,8,3,5]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,2,4,6,7,3,8,5]
[.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,2,4,6,3,7,8,5]
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,2,4,6,7,3,5,8]
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,2,4,6,3,7,5,8]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,2,4,3,6,7,8,5]
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,2,4,3,6,7,5,8]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,2,4,6,3,5,7,8]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,2,4,3,6,5,7,8]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,2,4,6,8,3,5,7]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,2,4,6,3,8,5,7]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,2,4,3,6,8,5,7]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,2,4,6,3,5,8,7]
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5,8,7]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,8,2,3,4,5,6,7]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,7,2,3,4,5,6,8]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,7,2,3,4,5,8,6]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,6,2,3,4,5,7,8]
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,6,2,3,4,5,8,7]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,7,2,3,4,8,5,6]
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,4,8,5,7]
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,7,8,5]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,6,2,3,4,7,5,8]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,5,2,3,4,6,7,8]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,5,2,3,4,6,8,7]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,5,2,3,4,8,6,7]
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,5,2,3,4,7,8,6]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,5,2,3,4,7,6,8]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,7,2,3,8,4,5,6]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,6,2,3,8,4,5,7]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,6,2,3,7,4,5,8]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,5,2,3,8,4,6,7]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,5,2,3,7,4,6,8]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,6,2,3,7,8,4,5]
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,8,4,6]
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,6,2,3,7,4,8,5]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,5,2,3,7,4,8,6]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,5,2,3,6,7,8,4]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,5,2,3,6,7,4,8]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,5,2,3,6,4,7,8]
[.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,5,2,3,6,8,4,7]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,5,2,3,6,4,8,7]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,4,2,3,5,6,7,8]
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,4,2,3,5,6,8,7]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,4,2,3,5,8,6,7]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,4,2,3,5,7,8,6]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,4,2,3,5,7,6,8]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,4,2,3,8,5,6,7]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,4,2,3,7,5,6,8]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,4,2,3,7,8,5,6]
[.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,4,2,3,7,5,8,6]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,4,2,3,6,7,8,5]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,4,2,3,6,7,5,8]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,4,2,3,6,5,7,8]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,4,2,3,6,8,5,7]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,4,2,3,6,5,8,7]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,7,8,2,3,4,5,6]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,6,8,2,3,4,5,7]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,6,7,2,3,4,5,8]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,5,8,2,3,4,6,7]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,5,7,2,3,4,6,8]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,6,7,2,3,4,8,5]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,5,7,2,3,4,8,6]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,5,6,2,3,4,7,8]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,5,6,2,3,4,8,7]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,4,8,2,3,5,6,7]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,4,7,2,3,5,6,8]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,4,7,2,3,5,8,6]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,4,6,2,3,5,7,8]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,4,6,2,3,5,8,7]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,7,2,8,3,4,5,6]
[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,6,2,8,3,4,5,7]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,6,2,7,3,4,5,8]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,5,2,8,3,4,6,7]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,5,2,7,3,4,6,8]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,6,2,7,3,4,8,5]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,7,3,4,8,6]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,5,2,6,3,4,7,8]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,5,2,6,3,4,8,7]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,4,2,8,3,5,6,7]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,4,2,7,3,5,6,8]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,4,2,7,3,5,8,6]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,4,2,6,3,5,7,8]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,4,2,6,3,5,8,7]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,6,7,8,2,3,4,5]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[[[.,.],.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,5,7,8,2,3,4,6]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,5,6,8,2,3,4,7]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,4,7,8,2,3,5,6]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,4,6,8,2,3,5,7]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,6,7,2,8,3,4,5]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,5,7,2,8,3,4,6]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,5,6,2,8,3,4,7]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,4,7,2,8,3,5,6]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,8,3,5,7]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,6,2,7,8,3,4,5]
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,5,2,7,8,3,4,6]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,5,2,6,8,3,4,7]
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,4,2,7,8,3,5,6]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,8,3,5,7]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,6,7,2,3,8,4,5]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,5,7,2,3,8,4,6]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,5,6,2,3,8,4,7]
[.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,4,7,2,3,8,5,6]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,4,6,2,3,8,5,7]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,6,2,7,3,8,4,5]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,5,2,7,3,8,4,6]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,5,2,6,3,8,4,7]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,4,2,7,3,8,5,6]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,4,2,6,3,8,5,7]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,5,6,7,8,2,3,4]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,6,7,8,2,3,5]
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,5,6,7,2,8,3,4]
[.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,6,7,2,8,3,5]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,5,6,2,7,8,3,4]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,6,2,7,8,3,5]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,5,6,7,2,3,8,4]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,7,2,3,8,5]
[.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,5,6,2,7,3,8,4]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,6,2,7,3,8,5]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,5,2,6,7,8,3,4]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,6,7,8,3,5]
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,5,2,6,7,3,8,4]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,2,6,7,3,8,5]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,5,6,2,3,7,8,4]
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,6,2,3,7,8,5]
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,5,2,6,3,7,8,4]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,6,3,7,8,5]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,5,6,7,2,3,4,8]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,6,7,2,3,5,8]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,5,6,2,7,3,4,8]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,6,2,7,3,5,8]
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,5,2,6,7,3,4,8]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,2,6,7,3,5,8]
[.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,5,6,2,3,7,4,8]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,6,2,3,7,5,8]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,5,2,6,3,7,4,8]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,2,6,3,7,5,8]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,4,5,6,7,8,2,3]
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,4,5,6,7,2,8,3]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,4,5,6,2,7,8,3]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,4,5,6,7,2,3,8]
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,4,5,6,2,7,3,8]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,4,5,2,6,7,8,3]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,4,5,2,6,7,3,8]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,4,5,6,2,3,7,8]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,4,5,2,6,3,7,8]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,4,5,6,8,2,3,7]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,4,5,6,2,8,3,7]
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,4,5,2,6,8,3,7]
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,6,2,3,8,7]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,2,6,3,8,7]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,4,2,5,6,7,8,3]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,4,2,5,6,7,3,8]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,4,2,5,6,3,7,8]
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,4,2,5,6,8,3,7]
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,4,2,5,6,3,8,7]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,4,5,2,3,6,7,8]
[.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,4,5,2,3,6,8,7]
[.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,4,2,5,3,6,7,8]
[.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,4,2,5,3,6,8,7]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,4,5,8,2,3,6,7]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,4,5,2,8,3,6,7]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,8,3,6,7]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,8,6,7]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,4,2,5,3,8,6,7]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,4,5,7,8,2,3,6]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,4,5,7,2,8,3,6]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,4,5,2,7,8,3,6]
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,4,5,7,2,3,8,6]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,4,5,2,7,3,8,6]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,4,2,5,7,8,3,6]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,4,2,5,7,3,8,6]
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,4,5,2,3,7,8,6]
[.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,4,2,5,3,7,8,6]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,4,5,7,2,3,6,8]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,4,5,2,7,3,6,8]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,4,2,5,7,3,6,8]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,4,5,2,3,7,6,8]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,4,2,5,3,7,6,8]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,4,5,6,7,8,2]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,3,4,5,6,7,2,8]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,3,4,5,6,2,7,8]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,3,4,5,6,8,2,7]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,3,4,5,6,2,8,7]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,3,4,5,2,6,7,8]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,3,4,5,2,6,8,7]
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,3,4,5,8,2,6,7]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,3,4,5,2,8,6,7]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,3,4,5,7,8,2,6]
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,3,4,5,7,2,8,6]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,3,4,5,2,7,8,6]
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,3,4,5,7,2,6,8]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,3,4,5,2,7,6,8]
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,3,4,2,5,6,7,8]
[.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,3,4,2,5,6,8,7]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,3,4,2,5,8,6,7]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,3,4,2,5,7,8,6]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,3,4,2,5,7,6,8]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,3,4,8,2,5,6,7]
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,3,4,7,2,5,6,8]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,3,4,2,8,5,6,7]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,3,4,2,7,5,6,8]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,3,4,7,8,2,5,6]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,3,4,7,2,8,5,6]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,3,4,2,7,8,5,6]
[.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,3,4,7,2,5,8,6]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,3,4,2,7,5,8,6]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,3,4,6,7,8,2,5]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,3,4,6,7,2,8,5]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,3,4,6,2,7,8,5]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,3,4,6,7,2,5,8]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,3,4,6,2,7,5,8]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,3,4,2,6,7,8,5]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,3,4,2,6,7,5,8]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,3,4,6,2,5,7,8]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,3,4,2,6,5,7,8]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,3,4,6,8,2,5,7]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,3,4,6,2,8,5,7]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,3,4,2,6,8,5,7]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,3,4,6,2,5,8,7]
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,4,2,6,5,8,7]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,3,2,4,5,6,7,8]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,3,2,4,5,6,8,7]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,3,2,4,5,8,6,7]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,3,2,4,5,7,8,6]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,3,2,4,5,7,6,8]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,3,2,4,8,5,6,7]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,3,2,4,7,5,6,8]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,3,2,4,7,8,5,6]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,3,2,4,7,5,8,6]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,3,2,4,6,7,8,5]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,3,2,4,6,7,5,8]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,3,2,4,6,5,7,8]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,3,2,4,6,8,5,7]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,3,2,4,6,5,8,7]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,3,8,2,4,5,6,7]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,3,7,2,4,5,6,8]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,3,7,2,4,5,8,6]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,3,6,2,4,5,7,8]
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,3,6,2,4,5,8,7]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,3,2,8,4,5,6,7]
[.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,3,2,7,4,5,6,8]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,3,2,7,4,5,8,6]
[.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,3,2,6,4,5,7,8]
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,3,2,6,4,5,8,7]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,3,7,8,2,4,5,6]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,3,6,8,2,4,5,7]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,3,7,2,8,4,5,6]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,3,6,2,8,4,5,7]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,3,2,7,8,4,5,6]
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,3,2,6,8,4,5,7]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,3,7,2,4,8,5,6]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,3,6,2,4,8,5,7]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,3,2,7,4,8,5,6]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,3,2,6,4,8,5,7]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,3,6,7,8,2,4,5]
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,2,8,4,5]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,3,6,2,7,8,4,5]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,3,6,7,2,4,8,5]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,3,6,2,7,4,8,5]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,3,2,6,7,8,4,5]
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,3,2,6,7,4,8,5]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,3,6,2,4,7,8,5]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,3,2,6,4,7,8,5]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,3,6,7,2,4,5,8]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,3,6,2,7,4,5,8]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,3,2,6,7,4,5,8]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,3,6,2,4,7,5,8]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,3,2,6,4,7,5,8]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,5,6,7,8,2,4]
[.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,3,5,6,7,2,8,4]
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,3,5,6,2,7,8,4]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,3,5,6,7,2,4,8]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,3,5,6,2,7,4,8]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,3,5,2,6,7,8,4]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,5,2,6,7,4,8]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,3,5,6,2,4,7,8]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,3,5,2,6,4,7,8]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,3,5,6,8,2,4,7]
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,5,6,2,8,4,7]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,3,5,2,6,8,4,7]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,3,5,6,2,4,8,7]
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,3,5,2,6,4,8,7]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,3,2,5,6,7,8,4]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,3,2,5,6,7,4,8]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,3,2,5,6,4,7,8]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,3,2,5,6,8,4,7]
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,3,2,5,6,4,8,7]
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,3,5,2,4,6,7,8]
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,3,5,2,4,6,8,7]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,3,2,5,4,6,7,8]
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,3,2,5,4,6,8,7]
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,3,5,8,2,4,6,7]
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,3,5,2,8,4,6,7]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,5,8,4,6,7]
[.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,3,5,2,4,8,6,7]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,3,2,5,4,8,6,7]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,3,5,7,8,2,4,6]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,3,5,7,2,8,4,6]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,3,5,2,7,8,4,6]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,2,4,8,6]
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,2,7,4,8,6]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,3,2,5,7,8,4,6]
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,3,2,5,7,4,8,6]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,2,4,7,8,6]
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,3,2,5,4,7,8,6]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,7,2,4,6,8]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,2,7,4,6,8]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,3,2,5,7,4,6,8]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,7,6,8]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,7,6,8]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,8]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,1,2,3,4,5,8,6]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7,8]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5,8,7]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,1,2,3,4,8,5,6]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [6,1,2,3,4,8,5,7]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,8,5]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [6,1,2,3,4,7,5,8]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [5,1,2,3,4,6,7,8]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6,8,7]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [5,1,2,3,4,8,6,7]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,8,6]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [5,1,2,3,4,7,6,8]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [7,1,2,3,8,4,5,6]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [6,1,2,3,8,4,5,7]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [6,1,2,3,7,4,5,8]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,3,8,4,6,7]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [5,1,2,3,7,4,6,8]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [6,1,2,3,7,8,4,5]
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [5,1,2,3,7,8,4,6]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [6,1,2,3,7,4,8,5]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [5,1,2,3,7,4,8,6]
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [5,1,2,3,6,7,8,4]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,7,4,8]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [5,1,2,3,6,4,7,8]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [5,1,2,3,6,8,4,7]
[[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [5,1,2,3,6,4,8,7]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [4,1,2,3,5,6,7,8]
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [4,1,2,3,5,6,8,7]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [4,1,2,3,5,8,6,7]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,8,6]
[[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [4,1,2,3,5,7,6,8]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [4,1,2,3,8,5,6,7]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [4,1,2,3,7,5,6,8]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,2,3,7,8,5,6]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [4,1,2,3,7,5,8,6]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,6,7,8,5]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [4,1,2,3,6,7,5,8]
[[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,2,3,6,5,7,8]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,8,5,7]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [4,1,2,3,6,5,8,7]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [7,1,2,8,3,4,5,6]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [6,1,2,8,3,4,5,7]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [6,1,2,7,3,4,5,8]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,8,3,4,6,7]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,7,3,4,6,8]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [6,1,2,7,3,4,8,5]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [5,1,2,7,3,4,8,6]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,4,7,8]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [5,1,2,6,3,4,8,7]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [4,1,2,8,3,5,6,7]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [4,1,2,7,3,5,6,8]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [4,1,2,7,3,5,8,6]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,6,3,5,7,8]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [4,1,2,6,3,5,8,7]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [6,1,2,7,8,3,4,5]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [5,1,2,7,8,3,4,6]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [5,1,2,6,8,3,4,7]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [4,1,2,7,8,3,5,6]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,2,6,8,3,5,7]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [6,1,2,7,3,8,4,5]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [5,1,2,7,3,8,4,6]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [5,1,2,6,3,8,4,7]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [4,1,2,7,3,8,5,6]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [4,1,2,6,3,8,5,7]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [5,1,2,6,7,8,3,4]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [4,1,2,6,7,8,3,5]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [5,1,2,6,7,3,8,4]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [4,1,2,6,7,3,8,5]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [5,1,2,6,3,7,8,4]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [4,1,2,6,3,7,8,5]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [5,1,2,6,7,3,4,8]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [4,1,2,6,7,3,5,8]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [5,1,2,6,3,7,4,8]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [4,1,2,6,3,7,5,8]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [4,1,2,5,6,7,8,3]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [4,1,2,5,6,7,3,8]
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [4,1,2,5,6,3,7,8]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,5,6,8,3,7]
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [4,1,2,5,6,3,8,7]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6,7,8]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [4,1,2,5,3,6,8,7]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [4,1,2,5,8,3,6,7]
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [4,1,2,5,3,8,6,7]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [4,1,2,5,7,8,3,6]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [4,1,2,5,7,3,8,6]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [4,1,2,5,3,7,8,6]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [4,1,2,5,7,3,6,8]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [4,1,2,5,3,7,6,8]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [3,1,2,4,5,6,7,8]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [3,1,2,4,5,6,8,7]
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [3,1,2,4,5,8,6,7]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,8,6]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [3,1,2,4,5,7,6,8]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [3,1,2,4,8,5,6,7]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [3,1,2,4,7,5,6,8]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [3,1,2,4,7,8,5,6]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [3,1,2,4,7,5,8,6]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,6,7,8,5]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,1,2,4,6,7,5,8]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,1,2,4,6,5,7,8]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,2,4,6,8,5,7]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,2,4,6,5,8,7]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [3,1,2,8,4,5,6,7]
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [3,1,2,7,4,5,6,8]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [3,1,2,7,4,5,8,6]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,1,2,6,4,5,7,8]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,2,6,4,5,8,7]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [3,1,2,7,8,4,5,6]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,2,6,8,4,5,7]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [3,1,2,7,4,8,5,6]
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,2,6,4,8,5,7]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,1,2,6,7,8,4,5]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,1,2,6,7,4,8,5]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,1,2,6,4,7,8,5]
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,2,6,7,4,5,8]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,2,6,4,7,5,8]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,5,6,7,8,4]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,1,2,5,6,7,4,8]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,2,5,6,4,7,8]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,1,2,5,6,8,4,7]
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,1,2,5,6,4,8,7]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,5,4,6,7,8]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,1,2,5,4,6,8,7]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,2,5,8,4,6,7]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [3,1,2,5,4,8,6,7]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,5,7,8,4,6]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,5,7,4,8,6]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,5,4,7,8,6]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,1,2,5,7,4,6,8]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4,7,6,8]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [7,8,1,2,3,4,5,6]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [6,8,1,2,3,4,5,7]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [6,7,1,2,3,4,5,8]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [5,8,1,2,3,4,6,7]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [5,7,1,2,3,4,6,8]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [6,7,1,2,3,4,8,5]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [5,7,1,2,3,4,8,6]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4,7,8]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [5,6,1,2,3,4,8,7]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [4,8,1,2,3,5,6,7]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [4,7,1,2,3,5,6,8]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [4,7,1,2,3,5,8,6]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [4,6,1,2,3,5,7,8]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [4,6,1,2,3,5,8,7]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [6,7,1,2,3,8,4,5]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [5,7,1,2,3,8,4,6]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [5,6,1,2,3,8,4,7]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [4,7,1,2,3,8,5,6]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [4,6,1,2,3,8,5,7]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [5,6,1,2,3,7,8,4]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [4,6,1,2,3,7,8,5]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [5,6,1,2,3,7,4,8]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [4,6,1,2,3,7,5,8]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [4,5,1,2,3,6,7,8]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [4,5,1,2,3,6,8,7]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,3,8,6,7]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3,7,8,6]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [4,5,1,2,3,7,6,8]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [3,8,1,2,4,5,6,7]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [3,7,1,2,4,5,6,8]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [3,7,1,2,4,5,8,6]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,6,1,2,4,5,7,8]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,6,1,2,4,5,8,7]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [3,7,1,2,4,8,5,6]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,6,1,2,4,8,5,7]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,6,1,2,4,7,8,5]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,6,1,2,4,7,5,8]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,5,1,2,4,6,7,8]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,5,1,2,4,6,8,7]
[[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,5,1,2,4,8,6,7]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [3,5,1,2,4,7,8,6]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,7,6,8]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [7,1,8,2,3,4,5,6]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [6,1,8,2,3,4,5,7]
[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [6,1,7,2,3,4,5,8]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [5,1,8,2,3,4,6,7]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [5,1,7,2,3,4,6,8]
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [6,1,7,2,3,4,8,5]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [5,1,7,2,3,4,8,6]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [5,1,6,2,3,4,7,8]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [5,1,6,2,3,4,8,7]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [4,1,8,2,3,5,6,7]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [4,1,7,2,3,5,6,8]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [4,1,7,2,3,5,8,6]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,6,2,3,5,7,8]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [4,1,6,2,3,5,8,7]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [6,1,7,2,3,8,4,5]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [5,1,7,2,3,8,4,6]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [5,1,6,2,3,8,4,7]
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [4,1,7,2,3,8,5,6]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [4,1,6,2,3,8,5,7]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [5,1,6,2,3,7,8,4]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [4,1,6,2,3,7,8,5]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [5,1,6,2,3,7,4,8]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [4,1,6,2,3,7,5,8]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [4,1,5,2,3,6,7,8]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [4,1,5,2,3,6,8,7]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [4,1,5,2,3,8,6,7]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [4,1,5,2,3,7,8,6]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [4,1,5,2,3,7,6,8]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [3,1,8,2,4,5,6,7]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [3,1,7,2,4,5,6,8]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [3,1,7,2,4,5,8,6]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,1,6,2,4,5,7,8]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,6,2,4,5,8,7]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [3,1,7,2,4,8,5,6]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,6,2,4,8,5,7]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,1,6,2,4,7,8,5]
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,6,2,4,7,5,8]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,5,2,4,6,7,8]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,1,5,2,4,6,8,7]
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,1,5,2,4,8,6,7]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [3,1,5,2,4,7,8,6]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4,7,6,8]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [6,7,8,1,2,3,4,5]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [5,7,8,1,2,3,4,6]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [5,6,8,1,2,3,4,7]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [4,7,8,1,2,3,5,6]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [4,6,8,1,2,3,5,7]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [5,6,7,1,2,3,4,8]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [4,6,7,1,2,3,5,8]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [4,5,8,1,2,3,6,7]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [4,5,7,1,2,3,6,8]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [3,7,8,1,2,4,5,6]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,6,8,1,2,4,5,7]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,6,7,1,2,4,5,8]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,5,8,1,2,4,6,7]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,5,7,1,2,4,6,8]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [6,7,1,8,2,3,4,5]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [5,7,1,8,2,3,4,6]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [5,6,1,8,2,3,4,7]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [4,7,1,8,2,3,5,6]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [4,6,1,8,2,3,5,7]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [5,6,1,7,2,3,4,8]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [4,6,1,7,2,3,5,8]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [4,5,1,8,2,3,6,7]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [4,5,1,7,2,3,6,8]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [3,7,1,8,2,4,5,6]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,6,1,8,2,4,5,7]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,6,1,7,2,4,5,8]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,5,1,8,2,4,6,7]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [3,5,1,7,2,4,6,8]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [6,1,7,8,2,3,4,5]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [5,1,7,8,2,3,4,6]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [5,1,6,8,2,3,4,7]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [4,1,7,8,2,3,5,6]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [4,1,6,8,2,3,5,7]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [5,1,6,7,2,3,4,8]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [4,1,6,7,2,3,5,8]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [4,1,5,8,2,3,6,7]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [4,1,5,7,2,3,6,8]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [3,1,7,8,2,4,5,6]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,6,8,2,4,5,7]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,6,7,2,4,5,8]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,5,8,2,4,6,7]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,1,5,7,2,4,6,8]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [6,7,1,2,8,3,4,5]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [5,7,1,2,8,3,4,6]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [5,6,1,2,8,3,4,7]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [4,7,1,2,8,3,5,6]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [4,6,1,2,8,3,5,7]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [5,6,1,2,7,3,4,8]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [4,6,1,2,7,3,5,8]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [4,5,1,2,8,3,6,7]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [4,5,1,2,7,3,6,8]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [3,7,1,2,8,4,5,6]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,6,1,2,8,4,5,7]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,6,1,2,7,4,5,8]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,5,1,2,8,4,6,7]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [3,5,1,2,7,4,6,8]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [6,1,7,2,8,3,4,5]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [5,1,7,2,8,3,4,6]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [5,1,6,2,8,3,4,7]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,7,2,8,3,5,6]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,6,2,8,3,5,7]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [5,1,6,2,7,3,4,8]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [4,1,6,2,7,3,5,8]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [4,1,5,2,8,3,6,7]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [4,1,5,2,7,3,6,8]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [3,1,7,2,8,4,5,6]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,6,2,8,4,5,7]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,6,2,7,4,5,8]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,1,5,2,8,4,6,7]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,7,4,6,8]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,1,2,3,4]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [4,6,7,8,1,2,3,5]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [4,5,7,8,1,2,3,6]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,6,7,8,1,2,4,5]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,5,7,8,1,2,4,6]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [5,6,7,1,8,2,3,4]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,6,7,1,8,2,3,5]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [4,5,7,1,8,2,3,6]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,6,7,1,8,2,4,5]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,5,7,1,8,2,4,6]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [5,6,1,7,8,2,3,4]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [4,6,1,7,8,2,3,5]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [4,5,1,7,8,2,3,6]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,6,1,7,8,2,4,5]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,5,1,7,8,2,4,6]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [5,6,7,1,2,8,3,4]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [4,6,7,1,2,8,3,5]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [4,5,7,1,2,8,3,6]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,6,7,1,2,8,4,5]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,5,7,1,2,8,4,6]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [5,6,1,7,2,8,3,4]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [4,6,1,7,2,8,3,5]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [4,5,1,7,2,8,3,6]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,6,1,7,2,8,4,5]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,5,1,7,2,8,4,6]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [5,1,6,7,8,2,3,4]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [4,1,6,7,8,2,3,5]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [4,1,5,7,8,2,3,6]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,1,6,7,8,2,4,5]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,5,7,8,2,4,6]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [5,1,6,7,2,8,3,4]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [4,1,6,7,2,8,3,5]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [4,1,5,7,2,8,3,6]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,1,6,7,2,8,4,5]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,5,7,2,8,4,6]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [5,6,1,2,7,8,3,4]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [4,6,1,2,7,8,3,5]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,5,1,2,7,8,3,6]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,6,1,2,7,8,4,5]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,5,1,2,7,8,4,6]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [5,1,6,2,7,8,3,4]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [4,1,6,2,7,8,3,5]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [4,1,5,2,7,8,3,6]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,1,6,2,7,8,4,5]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,5,2,7,8,4,6]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [5,6,7,1,2,3,8,4]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [4,6,7,1,2,3,8,5]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [4,5,7,1,2,3,8,6]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,6,7,1,2,4,8,5]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,5,7,1,2,4,8,6]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [5,6,1,7,2,3,8,4]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [4,6,1,7,2,3,8,5]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [4,5,1,7,2,3,8,6]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,6,1,7,2,4,8,5]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,5,1,7,2,4,8,6]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [5,1,6,7,2,3,8,4]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,6,7,2,3,8,5]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [4,1,5,7,2,3,8,6]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,6,7,2,4,8,5]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,5,7,2,4,8,6]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [5,6,1,2,7,3,8,4]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [4,6,1,2,7,3,8,5]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [4,5,1,2,7,3,8,6]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,6,1,2,7,4,8,5]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,5,1,2,7,4,8,6]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,6,2,7,3,8,4]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,6,2,7,3,8,5]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [4,1,5,2,7,3,8,6]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,6,2,7,4,8,5]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,5,2,7,4,8,6]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,1,2,3]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5,6,7,8,1,2,4]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [4,5,6,7,1,8,2,3]
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,5,6,7,1,8,2,4]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [4,5,6,1,7,8,2,3]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,5,6,1,7,8,2,4]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [4,5,6,7,1,2,8,3]
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [3,5,6,7,1,2,8,4]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [4,5,6,1,7,2,8,3]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [3,5,6,1,7,2,8,4]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [[[.,.],.],[[[[.,.],.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [4,5,1,6,7,8,2,3]
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,5,1,6,7,8,2,4]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [4,5,1,6,7,2,8,3]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,5,1,6,7,2,8,4]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [4,5,6,1,2,7,8,3]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,5,6,1,2,7,8,4]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [4,5,1,6,2,7,8,3]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [3,5,1,6,2,7,8,4]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [4,5,6,7,1,2,3,8]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,5,6,7,1,2,4,8]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [4,5,6,1,7,2,3,8]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,5,6,1,7,2,4,8]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [4,5,1,6,7,2,3,8]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [3,5,1,6,7,2,4,8]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [4,5,6,1,2,7,3,8]
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [3,5,6,1,2,7,4,8]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [4,5,1,6,2,7,3,8]
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [3,5,1,6,2,7,4,8]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [4,1,5,6,7,8,2,3]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,5,6,7,8,2,4]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [4,1,5,6,7,2,8,3]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [3,1,5,6,7,2,8,4]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [4,1,5,6,2,7,8,3]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [3,1,5,6,2,7,8,4]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [4,1,5,6,7,2,3,8]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,1,5,6,7,2,4,8]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [4,1,5,6,2,7,3,8]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [3,1,5,6,2,7,4,8]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,6,7,8,3]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [3,5,1,2,6,7,8,4]
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [4,5,1,2,6,7,3,8]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [3,5,1,2,6,7,4,8]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [4,1,5,2,6,7,8,3]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [3,1,5,2,6,7,8,4]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [4,1,5,2,6,7,3,8]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [3,1,5,2,6,7,4,8]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3,7,8]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,5,6,1,2,4,7,8]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [4,5,1,6,2,3,7,8]
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,5,1,6,2,4,7,8]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,1,5,6,2,3,7,8]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,5,6,2,4,7,8]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [4,5,1,2,6,3,7,8]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [3,5,1,2,6,4,7,8]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [4,1,5,2,6,3,7,8]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [3,1,5,2,6,4,7,8]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [4,5,6,8,1,2,3,7]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,5,6,8,1,2,4,7]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [4,5,6,1,8,2,3,7]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,5,6,1,8,2,4,7]
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [4,5,1,6,8,2,3,7]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,5,1,6,8,2,4,7]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [4,5,6,1,2,8,3,7]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,5,6,1,2,8,4,7]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [4,5,1,6,2,8,3,7]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,5,1,6,2,8,4,7]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [4,1,5,6,8,2,3,7]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,5,6,8,2,4,7]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [4,1,5,6,2,8,3,7]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,5,6,2,8,4,7]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [4,5,1,2,6,8,3,7]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,5,1,2,6,8,4,7]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [4,1,5,2,6,8,3,7]
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,5,2,6,8,4,7]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [4,5,6,1,2,3,8,7]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,5,6,1,2,4,8,7]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [4,5,1,6,2,3,8,7]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,5,1,6,2,4,8,7]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [4,1,5,6,2,3,8,7]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,5,6,2,4,8,7]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [4,5,1,2,6,3,8,7]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,5,1,2,6,4,8,7]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,5,2,6,3,8,7]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,5,2,6,4,8,7]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,8,1,2]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,4,5,6,7,1,8,2]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,4,5,6,1,7,8,2]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [3,4,5,6,7,1,2,8]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,4,5,6,1,7,2,8]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [3,4,5,1,6,7,8,2]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [3,4,5,1,6,7,2,8]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,5,6,1,2,7,8]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [3,4,5,1,6,2,7,8]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,4,5,6,8,1,2,7]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [3,4,5,6,1,8,2,7]
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [3,4,5,1,6,8,2,7]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,5,6,1,2,8,7]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,1,6,2,8,7]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [3,4,1,5,6,7,8,2]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [3,4,1,5,6,7,2,8]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,4,1,5,6,2,7,8]
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [3,4,1,5,6,8,2,7]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,1,5,6,2,8,7]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [3,4,5,1,2,6,7,8]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,5,1,2,6,8,7]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [3,4,1,5,2,6,7,8]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,1,5,2,6,8,7]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,8,1,2,6,7]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [3,4,5,1,8,2,6,7]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [3,4,1,5,8,2,6,7]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [3,4,5,1,2,8,6,7]
[[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [3,4,1,5,2,8,6,7]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [3,4,5,7,8,1,2,6]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [3,4,5,7,1,8,2,6]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [3,4,5,1,7,8,2,6]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,5,7,1,2,8,6]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [3,4,5,1,7,2,8,6]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,5,7,8,2,6]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [3,4,1,5,7,2,8,6]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [3,4,5,1,2,7,8,6]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [3,4,1,5,2,7,8,6]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,7,1,2,6,8]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [3,4,5,1,7,2,6,8]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [3,4,1,5,7,2,6,8]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,7,6,8]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [3,4,1,5,2,7,6,8]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,1,4,5,6,7,8,2]
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [3,1,4,5,6,7,2,8]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [3,1,4,5,6,2,7,8]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [3,1,4,5,6,8,2,7]
[[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [3,1,4,5,6,2,8,7]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [3,1,4,5,2,6,7,8]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [3,1,4,5,2,6,8,7]
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,4,5,8,2,6,7]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,8,6,7]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,4,5,7,8,2,6]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [3,1,4,5,7,2,8,6]
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,4,5,2,7,8,6]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [3,1,4,5,7,2,6,8]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [3,1,4,5,2,7,6,8]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [3,4,1,2,5,6,7,8]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,5,6,8,7]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,4,1,2,5,8,6,7]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [3,4,1,2,5,7,8,6]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [3,4,1,2,5,7,6,8]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [3,1,4,2,5,6,7,8]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [3,1,4,2,5,6,8,7]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,8,6,7]
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,4,2,5,7,8,6]
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [3,1,4,2,5,7,6,8]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [3,4,8,1,2,5,6,7]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [3,4,7,1,2,5,6,8]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [3,4,1,8,2,5,6,7]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [3,4,1,7,2,5,6,8]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,4,8,2,5,6,7]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,4,7,2,5,6,8]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [3,4,1,2,8,5,6,7]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [3,4,1,2,7,5,6,8]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,4,2,8,5,6,7]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,4,2,7,5,6,8]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,7,8,1,2,5,6]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [3,4,7,1,8,2,5,6]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,4,1,7,8,2,5,6]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [3,4,7,1,2,8,5,6]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [3,4,1,7,2,8,5,6]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [3,1,4,7,8,2,5,6]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [3,1,4,7,2,8,5,6]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,7,8,5,6]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [3,1,4,2,7,8,5,6]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [3,4,7,1,2,5,8,6]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [3,4,1,7,2,5,8,6]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [3,1,4,7,2,5,8,6]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [3,4,1,2,7,5,8,6]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [3,1,4,2,7,5,8,6]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,4,6,7,8,1,2,5]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [3,4,6,7,1,8,2,5]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [3,4,6,1,7,8,2,5]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,6,7,1,2,8,5]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [3,4,6,1,7,2,8,5]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [3,4,1,6,7,8,2,5]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [3,4,1,6,7,2,8,5]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [3,4,6,1,2,7,8,5]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [3,4,1,6,2,7,8,5]
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [3,4,6,7,1,2,5,8]
[[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [3,4,6,1,7,2,5,8]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [3,4,1,6,7,2,5,8]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [3,4,6,1,2,7,5,8]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [3,4,1,6,2,7,5,8]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,6,7,8,2,5]
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [3,1,4,6,7,2,8,5]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [3,1,4,6,2,7,8,5]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [3,1,4,6,7,2,5,8]
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [3,1,4,6,2,7,5,8]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [3,4,1,2,6,7,8,5]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [3,4,1,2,6,7,5,8]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [3,1,4,2,6,7,8,5]
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [3,1,4,2,6,7,5,8]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [3,4,6,1,2,5,7,8]
[[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [3,4,1,6,2,5,7,8]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [3,1,4,6,2,5,7,8]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [3,4,1,2,6,5,7,8]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,6,5,7,8]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [3,4,6,8,1,2,5,7]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [3,4,6,1,8,2,5,7]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [3,4,1,6,8,2,5,7]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [3,4,6,1,2,8,5,7]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [3,4,1,6,2,8,5,7]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,8,2,5,7]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,4,6,2,8,5,7]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,8,5,7]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [3,1,4,2,6,8,5,7]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [3,4,6,1,2,5,8,7]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [3,4,1,6,2,5,8,7]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,4,6,2,5,8,7]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,4,1,2,6,5,8,7]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5,8,7]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,1]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1,8]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,3,4,5,6,1,7,8]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,3,4,5,6,8,1,7]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,3,4,5,6,1,8,7]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,3,4,5,1,6,7,8]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [2,3,4,5,1,6,8,7]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,3,4,5,8,1,6,7]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,3,4,5,1,8,6,7]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,3,4,5,7,8,1,6]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,3,4,5,7,1,8,6]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [2,3,4,5,1,7,8,6]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,3,4,5,7,1,6,8]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,3,4,5,1,7,6,8]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,3,4,1,5,6,7,8]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [2,3,4,1,5,6,8,7]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [2,3,4,1,5,8,6,7]
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [2,3,4,1,5,7,8,6]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,3,4,1,5,7,6,8]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,3,4,8,1,5,6,7]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,3,4,7,1,5,6,8]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,3,4,1,8,5,6,7]
[[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,3,4,1,7,5,6,8]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,3,4,7,8,1,5,6]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,3,4,7,1,8,5,6]
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,3,4,1,7,8,5,6]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,3,4,7,1,5,8,6]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,3,4,1,7,5,8,6]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,3,4,6,7,8,1,5]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,3,4,6,7,1,8,5]
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [2,3,4,6,1,7,8,5]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,3,4,6,7,1,5,8]
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,3,4,6,1,7,5,8]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [2,3,4,1,6,7,8,5]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [2,3,4,1,6,7,5,8]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,3,4,6,1,5,7,8]
[[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [2,3,4,1,6,5,7,8]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [2,3,4,6,8,1,5,7]
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [2,3,4,6,1,8,5,7]
[[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [2,3,4,1,6,8,5,7]
[[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [2,3,4,6,1,5,8,7]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,4,1,6,5,8,7]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,3,1,4,5,6,7,8]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,3,1,4,5,6,8,7]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [2,3,1,4,5,8,6,7]
[[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [2,3,1,4,5,7,8,6]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [2,3,1,4,5,7,6,8]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [2,3,1,4,8,5,6,7]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,3,1,4,7,5,6,8]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,3,1,4,7,8,5,6]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [2,3,1,4,7,5,8,6]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [2,3,1,4,6,7,8,5]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,3,1,4,6,7,5,8]
[[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,3,1,4,6,5,7,8]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [2,3,1,4,6,8,5,7]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,3,1,4,6,5,8,7]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,3,8,1,4,5,6,7]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [2,3,7,1,4,5,6,8]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,3,7,1,4,5,8,6]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,3,6,1,4,5,7,8]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [2,3,6,1,4,5,8,7]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,3,1,8,4,5,6,7]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [2,3,1,7,4,5,6,8]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [2,3,1,7,4,5,8,6]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [2,3,1,6,4,5,7,8]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,3,1,6,4,5,8,7]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,3,7,8,1,4,5,6]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [2,3,6,8,1,4,5,7]
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [2,3,7,1,8,4,5,6]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,3,6,1,8,4,5,7]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,3,1,7,8,4,5,6]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [2,3,1,6,8,4,5,7]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [2,3,7,1,4,8,5,6]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [2,3,6,1,4,8,5,7]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,3,1,7,4,8,5,6]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,3,1,6,4,8,5,7]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,3,6,7,8,1,4,5]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [2,3,6,7,1,8,4,5]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [2,3,6,1,7,8,4,5]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,3,6,7,1,4,8,5]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [2,3,6,1,7,4,8,5]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,3,1,6,7,8,4,5]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [2,3,1,6,7,4,8,5]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,3,6,1,4,7,8,5]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,3,1,6,4,7,8,5]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [2,3,6,7,1,4,5,8]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,3,6,1,7,4,5,8]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [2,3,1,6,7,4,5,8]
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,3,6,1,4,7,5,8]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,3,1,6,4,7,5,8]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,3,5,6,7,8,1,4]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,3,5,6,7,1,8,4]
[[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,3,5,6,1,7,8,4]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,3,5,6,7,1,4,8]
[[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,5,6,1,7,4,8]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,3,5,1,6,7,8,4]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,5,1,6,7,4,8]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,3,5,6,1,4,7,8]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,5,1,6,4,7,8]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,3,5,6,8,1,4,7]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,3,5,6,1,8,4,7]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,3,5,1,6,8,4,7]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,3,5,6,1,4,8,7]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,3,5,1,6,4,8,7]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,3,1,5,6,7,8,4]
[[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,3,1,5,6,7,4,8]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,5,6,4,7,8]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,3,1,5,6,8,4,7]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,1,5,6,4,8,7]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,3,5,1,4,6,7,8]
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,3,5,1,4,6,8,7]
[[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,5,4,6,7,8]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,3,1,5,4,6,8,7]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,3,5,8,1,4,6,7]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,3,5,1,8,4,6,7]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,3,1,5,8,4,6,7]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,3,5,1,4,8,6,7]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,5,4,8,6,7]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,5,7,8,1,4,6]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,5,7,1,8,4,6]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,5,1,7,8,4,6]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,7,1,4,8,6]
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,1,7,4,8,6]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1,5,7,8,4,6]
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,1,5,7,4,8,6]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,1,4,7,8,6]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,1,5,4,7,8,6]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,5,7,1,4,6,8]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,1,7,4,6,8]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,1,5,7,4,6,8]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,7,6,8]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,5,4,7,6,8]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7,8]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,1,3,4,5,6,8,7]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [2,1,3,4,5,8,6,7]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,8,6]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [2,1,3,4,5,7,6,8]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [2,1,3,4,8,5,6,7]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [2,1,3,4,7,5,6,8]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,1,3,4,7,8,5,6]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [2,1,3,4,7,5,8,6]
[[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,6,7,8,5]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [2,1,3,4,6,7,5,8]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [2,1,3,4,6,5,7,8]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [2,1,3,4,6,8,5,7]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [2,1,3,4,6,5,8,7]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,1,3,8,4,5,6,7]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [2,1,3,7,4,5,6,8]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [2,1,3,7,4,5,8,6]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,5,7,8]
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [2,1,3,6,4,5,8,7]
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,1,3,7,8,4,5,6]
[[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [2,1,3,6,8,4,5,7]
[[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,1,3,7,4,8,5,6]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [2,1,3,6,4,8,5,7]
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [2,1,3,6,7,8,4,5]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,1,3,6,7,4,8,5]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,1,3,6,4,7,8,5]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,1,3,6,7,4,5,8]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,1,3,6,4,7,5,8]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,5,6,7,8,4]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,1,3,5,6,7,4,8]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,1,3,5,6,4,7,8]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,1,3,5,6,8,4,7]
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,1,3,5,6,4,8,7]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,5,4,6,7,8]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,1,3,5,4,6,8,7]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,1,3,5,8,4,6,7]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,1,3,5,4,8,6,7]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,5,7,8,4,6]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,3,5,7,4,8,6]
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,3,5,4,7,8,6]
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,3,5,7,4,6,8]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,7,6,8]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,8,1,3,4,5,6,7]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,7,1,3,4,5,6,8]
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [2,7,1,3,4,5,8,6]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,6,1,3,4,5,7,8]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [2,6,1,3,4,5,8,7]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,7,1,3,4,8,5,6]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [2,6,1,3,4,8,5,7]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,6,1,3,4,7,8,5]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [2,6,1,3,4,7,5,8]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,5,1,3,4,6,7,8]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,5,1,3,4,6,8,7]
[[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,5,1,3,4,8,6,7]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,5,1,3,4,7,8,6]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,5,1,3,4,7,6,8]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,1,8,3,4,5,6,7]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [2,1,7,3,4,5,6,8]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,1,7,3,4,5,8,6]
[[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [2,1,6,3,4,5,7,8]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,1,6,3,4,5,8,7]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [2,1,7,3,4,8,5,6]
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [2,1,6,3,4,8,5,7]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [2,1,6,3,4,7,8,5]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [2,1,6,3,4,7,5,8]
[[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,1,5,3,4,6,7,8]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,1,5,3,4,6,8,7]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,1,5,3,4,8,6,7]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,5,3,4,7,8,6]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,5,3,4,7,6,8]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,7,8,1,3,4,5,6]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [2,6,8,1,3,4,5,7]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,6,7,1,3,4,5,8]
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,5,8,1,3,4,6,7]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,5,7,1,3,4,6,8]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,7,1,8,3,4,5,6]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,6,1,8,3,4,5,7]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,6,1,7,3,4,5,8]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,5,1,8,3,4,6,7]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,5,1,7,3,4,6,8]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [2,1,7,8,3,4,5,6]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,1,6,8,3,4,5,7]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,1,6,7,3,4,5,8]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,1,5,8,3,4,6,7]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,5,7,3,4,6,8]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,7,1,3,8,4,5,6]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [2,6,1,3,8,4,5,7]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [2,6,1,3,7,4,5,8]
[[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,5,1,3,8,4,6,7]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,5,1,3,7,4,6,8]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,1,7,3,8,4,5,6]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [2,1,6,3,8,4,5,7]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [2,1,6,3,7,4,5,8]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,1,5,3,8,4,6,7]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,5,3,7,4,6,8]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,6,7,8,1,3,4,5]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,5,7,8,1,3,4,6]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [2,6,7,1,8,3,4,5]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,5,7,1,8,3,4,6]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,6,1,7,8,3,4,5]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,5,1,7,8,3,4,6]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,6,7,1,3,8,4,5]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,5,7,1,3,8,4,6]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,6,1,7,3,8,4,5]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,5,1,7,3,8,4,6]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,1,6,7,8,3,4,5]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,7,8,3,4,6]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [2,1,6,7,3,8,4,5]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,5,7,3,8,4,6]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,6,1,3,7,8,4,5]
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,5,1,3,7,8,4,6]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [2,1,6,3,7,8,4,5]
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,5,3,7,8,4,6]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [2,6,7,1,3,4,8,5]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,5,7,1,3,4,8,6]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [2,6,1,7,3,4,8,5]
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,5,1,7,3,4,8,6]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [2,1,6,7,3,4,8,5]
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,5,7,3,4,8,6]
[[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [2,6,1,3,7,4,8,5]
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,5,1,3,7,4,8,6]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,1,6,3,7,4,8,5]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,5,3,7,4,8,6]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5,6,7,8,1,3,4]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,5,6,7,1,8,3,4]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,5,6,1,7,8,3,4]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,5,6,7,1,3,8,4]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,5,6,1,7,3,8,4]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,5,1,6,7,8,3,4]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,7,3,8,4]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,5,6,1,3,7,8,4]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,5,1,6,3,7,8,4]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,5,6,7,1,3,4,8]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,5,6,1,7,3,4,8]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,5,1,6,7,3,4,8]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,5,6,1,3,7,4,8]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,5,1,6,3,7,4,8]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,5,6,7,8,3,4]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,5,6,7,3,8,4]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,6,3,7,8,4]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,5,6,7,3,4,8]
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4,8]
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,5,1,3,6,7,8,4]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,5,1,3,6,7,4,8]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,5,3,6,7,8,4]
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4,8]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,5,6,1,3,4,7,8]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,5,1,6,3,4,7,8]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,5,6,3,4,7,8]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,5,1,3,6,4,7,8]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,5,3,6,4,7,8]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,5,6,8,1,3,4,7]
[[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,5,6,1,8,3,4,7]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,5,1,6,8,3,4,7]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,5,6,1,3,8,4,7]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,5,1,6,3,8,4,7]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,5,6,8,3,4,7]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,5,6,3,8,4,7]
[[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,5,1,3,6,8,4,7]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,5,3,6,8,4,7]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,5,6,1,3,4,8,7]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,5,1,6,3,4,8,7]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,5,6,3,4,8,7]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,5,1,3,6,4,8,7]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,5,3,6,4,8,7]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,4,5,6,7,8,1,3]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,4,5,6,7,1,8,3]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,4,5,6,1,7,8,3]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,4,5,6,7,1,3,8]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,4,5,6,1,7,3,8]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,4,5,1,6,7,8,3]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,4,5,1,6,7,3,8]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,4,5,6,1,3,7,8]
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,4,5,1,6,3,7,8]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,4,5,6,8,1,3,7]
[[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,4,5,6,1,8,3,7]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,4,5,1,6,8,3,7]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,4,5,6,1,3,8,7]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,4,5,1,6,3,8,7]
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,4,1,5,6,7,8,3]
[[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,4,1,5,6,7,3,8]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,4,1,5,6,3,7,8]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,4,1,5,6,8,3,7]
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,4,1,5,6,3,8,7]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,4,5,1,3,6,7,8]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,4,5,1,3,6,8,7]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,4,1,5,3,6,7,8]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,4,1,5,3,6,8,7]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,4,5,8,1,3,6,7]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,4,5,1,8,3,6,7]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,4,1,5,8,3,6,7]
[[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,4,5,1,3,8,6,7]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,4,1,5,3,8,6,7]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,5,7,8,1,3,6]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,5,7,1,8,3,6]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,5,1,7,8,3,6]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,5,7,1,3,8,6]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,1,7,3,8,6]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,4,1,5,7,8,3,6]
[[[.,[[[.,.],[[.,.],.]],.]],.],.] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,1,5,7,3,8,6]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,5,1,3,7,8,6]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,5,3,7,8,6]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,7,1,3,6,8]
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,4,5,1,7,3,6,8]
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,4,1,5,7,3,6,8]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,7,6,8]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,4,1,5,3,7,6,8]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,4,5,6,7,8,3]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,1,4,5,6,7,3,8]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,4,5,6,3,7,8]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,1,4,5,6,8,3,7]
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,1,4,5,6,3,8,7]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,4,5,3,6,7,8]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,1,4,5,3,6,8,7]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,4,5,8,3,6,7]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,4,5,3,8,6,7]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,1,4,5,7,8,3,6]
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,1,4,5,7,3,8,6]
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,1,4,5,3,7,8,6]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,4,5,7,3,6,8]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,4,5,3,7,6,8]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,1,3,5,6,7,8]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,4,1,3,5,6,8,7]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,4,1,3,5,8,6,7]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,5,7,8,6]
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,4,1,3,5,7,6,8]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,4,3,5,6,7,8]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,1,4,3,5,6,8,7]
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,4,3,5,8,6,7]
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,1,4,3,5,7,8,6]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,4,3,5,7,6,8]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,4,8,1,3,5,6,7]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,4,7,1,3,5,6,8]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,4,1,8,3,5,6,7]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,4,1,7,3,5,6,8]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,4,8,3,5,6,7]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,4,7,3,5,6,8]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,4,1,3,8,5,6,7]
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,4,1,3,7,5,6,8]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,4,3,8,5,6,7]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,4,3,7,5,6,8]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,4,7,8,1,3,5,6]
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,4,7,1,8,3,5,6]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,4,1,7,8,3,5,6]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,4,7,1,3,8,5,6]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,4,1,7,3,8,5,6]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,4,7,8,3,5,6]
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,7,3,8,5,6]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,1,3,7,8,5,6]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,7,8,5,6]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,4,7,1,3,5,8,6]
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,4,1,7,3,5,8,6]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,4,7,3,5,8,6]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,4,1,3,7,5,8,6]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,3,7,5,8,6]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,4,6,7,8,1,3,5]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,4,6,7,1,8,3,5]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,4,6,1,7,8,3,5]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,4,6,7,1,3,8,5]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,4,6,1,7,3,8,5]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1,6,7,8,3,5]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,4,1,6,7,3,8,5]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,4,6,1,3,7,8,5]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,4,1,6,3,7,8,5]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,6,7,1,3,5,8]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,6,1,7,3,5,8]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,6,7,3,5,8]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,6,1,3,7,5,8]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,1,6,3,7,5,8]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,6,7,8,3,5]
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,6,7,3,8,5]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,6,3,7,8,5]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,6,7,3,5,8]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,6,3,7,5,8]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,7,8,5]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,3,6,7,5,8]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,4,3,6,7,8,5]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,3,6,7,5,8]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,4,6,1,3,5,7,8]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,4,1,6,3,5,7,8]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,6,3,5,7,8]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,4,1,3,6,5,7,8]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,6,5,7,8]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,6,8,1,3,5,7]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,4,6,1,8,3,5,7]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,4,1,6,8,3,5,7]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,6,1,3,8,5,7]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,4,1,6,3,8,5,7]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,6,8,3,5,7]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,6,3,8,5,7]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,6,8,5,7]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,8,5,7]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5,8,7]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5,8,7]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5,8,7]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5,8,7]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,8,7]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [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]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,9,8]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,8,7,9]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,2,3,4,5,7,6,9,8]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5,8,7,9]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,7,6,9,8]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5,8,7,9]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,7,6,9,8]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,8,7,9]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [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]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,10,9]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,9,7,8]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,9,8,10]
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,2,3,4,5,8,6,7,9]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,8,7,10,9]
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,2,3,4,7,5,6,9,8]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,2,3,4,5,7,6,9,8,10]
[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,2,3,6,4,5,8,7,9]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5,8,7,10,9]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,2,5,3,4,7,6,9,8]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,7,6,9,8,10]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,4,2,3,6,5,8,7,9]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5,8,7,10,9]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4,7,6,9,8]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,7,6,9,8,10]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,8,7,10,9]
[[[.,[.,.]],[.,.]],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [5,6,1,2,7,9,3,4,8]
[.,[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[.,.],[[.,.],.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,5,6,2,3,8,9,4,7]
[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,5,2,6,8,3,4,9,10,7]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [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]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,3,4,5,6,7,8,9,2]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,1]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,2,3,4,5,7,6,8,9]
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,2,3,4,6,5,7,8,9]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,2,3,5,4,6,7,8,9]
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,2,4,3,5,6,7,8,9]
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,3,2,4,5,6,7,8,9]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7,8,9]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,10,1]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [6,1,2,8,3,4,9,5,7,10]
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [3,1,2,4,7,5,6,8,10,9]
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,3,1,4,8,5,6,10,7,9]
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [2,3,1,4,6,7,5,8,10,9]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [7,1,2,9,3,4,10,5,6,12,8,11]
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,3,4,6,7,2,9,10,5,8]
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,5,2,6,9,3,4,7,10,8]
[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,5,6,2,8,9,3,4,7,10]
[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => [[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,4,5,7,2,8,10,3,6,9]
[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => [[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,9,3,6,7,10,8]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,8,3,6,9,10,7]
[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [5,6,1,2,3,8,4,9,10,7]
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,3,8,6,9,10,7]
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,4,1,2,5,8,6,9,10,7]
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,7,8,3,9,10,6]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,4,1,2,7,8,5,9,10,6]
[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.] => [.,[[.,[[[.,.],[[.,.],[[.,.],.]]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [2,3,5,6,1,4,9,10,7,8]
[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.] => [.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,3,6,7,1,4,9,10,5,8]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,3,6,1,4,7,10,5,8,9]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,7,8,5,6,9,10]
[.,[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,5,2,6,9,3,4,7,10,8,11,12]
[.,[[[.,[[.,.],[.,.]]],.],[[.,[[.,.],[.,.]]],.]]] => [[[.,[[[.,.],[.,.]],.]],[.,[[[.,.],[.,.]],.]]],.] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,4,8,2,9,11,3,5,6,12,7,10]
[.,[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,5,2,6,9,3,4,10,12,7,8,11]
[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,[[.,[[[.,.],[.,.]],.]],.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,5,6,8,2,9,11,3,4,7,12,10]
[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,5,2,6,8,3,4,9,10,7,11,12]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,5,2,6,8,3,4,9,12,7,10,11]
[.,[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]] => [[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,9,3,6,7,10,8,11,12]
[.,[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]] => [[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,9,3,6,10,12,7,8,11]
[.,[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]] => [[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,8,3,6,9,10,7,11,12]
[.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,8,3,6,9,12,7,10,11]
[[.,[.,.]],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [5,6,1,2,3,9,4,10,12,7,8,11]
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [5,6,1,2,3,8,4,9,12,7,10,11]
[[.,[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => [[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,3,9,6,10,12,7,8,11]
[[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,3,8,6,9,12,7,10,11]
[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [5,6,1,8,9,2,3,4,7,12,10,11]
[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [5,6,1,2,8,9,3,4,7,12,10,11]
[[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,4,1,2,5,8,6,9,12,7,10,11]
[[[.,[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,8,9,3,11,12,6,7,10]
[[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,4,1,2,7,8,5,9,12,6,10,11]
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,7,8,3,9,12,6,10,11]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,7,8,3,11,12,6,9,10]
[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,4,1,2,8,9,5,11,12,6,7,10]
[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,4,1,2,7,8,5,11,12,6,9,10]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,7,8,5,6,11,12,9,10]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5,8,7,9]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5,8,7,10,9]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,7,6,9,8]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,2,7,4,6,9,8]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,7,6,9,8,10]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,7,6,9,8,11,10]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,5,2,6,4,8,7,9]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,5,2,7,4,8,6,9]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,5,2,7,4,9,6,8]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,7,4,6,9,8]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4,7,6,9,8]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,5,2,6,3,8,7,9]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [10,1,2,3,4,5,6,7,8,9]
[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1,8,9]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,8,9]
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,9,7]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,3,4,6,7,9,2,5,10,8]
[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,3,4,6,9,2,5,10,7,8]
[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,3,4,6,2,5,9,10,7,8]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,3,6,7,2,4,8,10,5,9]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,3,6,2,4,7,8,10,5,9]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,3,6,7,2,4,10,5,8,9]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,3,6,2,4,7,10,5,8,9]
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [3,6,1,2,4,5,7,9,10,8]
[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [3,6,1,2,4,5,9,10,7,8]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,6,1,2,4,7,8,10,5,9]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,6,1,2,4,7,10,5,8,9]
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [3,6,9,1,2,10,4,5,7,8]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,6,7,1,2,10,4,5,8,9]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,6,7,8,1,2,9,4,5,10]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [3,6,7,1,2,8,9,4,5,10]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [3,6,7,1,2,8,4,5,9,10]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,4,5,7,8,1,2,10,6,9]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,4,5,7,1,2,10,6,8,9]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,4,5,1,2,7,10,6,8,9]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,4,1,2,5,7,10,6,8,9]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,4,7,1,2,10,5,6,8,9]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,7,10,5,6,8,9]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [3,4,7,1,2,8,5,6,9,10]
[.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => [[.,[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,3,4,6,9,2,5,10,11,7,8,12]
[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => [[.,[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,3,4,6,2,5,9,10,11,7,8,12]
[.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => [[.,[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,3,4,6,9,2,5,10,7,8,11,12]
[.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => [[.,[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,3,4,6,2,5,9,10,7,8,11,12]
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => [[.,[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,3,6,7,8,2,4,10,5,9,11,12]
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [[.,[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,3,6,7,2,4,8,10,5,9,11,12]
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[.,[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,3,6,2,4,7,8,10,5,9,11,12]
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [[.,[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,3,6,7,2,4,10,5,8,9,11,12]
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [[.,[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,3,6,2,4,7,10,5,8,9,11,12]
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,3,6,7,2,4,10,11,5,8,12,9]
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,3,6,2,4,7,10,11,5,8,12,9]
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,3,6,7,2,4,10,5,8,11,12,9]
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,3,6,2,4,7,10,5,8,11,12,9]
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [3,6,1,2,4,7,8,10,5,9,11,12]
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [3,6,1,2,4,7,10,5,8,9,11,12]
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,6,1,2,4,7,10,11,5,8,12,9]
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,6,1,2,4,7,10,5,8,11,12,9]
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,[[.,.],.]],.]] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [3,6,7,1,2,10,4,5,8,9,11,12]
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,[[.,.],.]],.]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,6,7,1,2,10,4,5,8,11,12,9]
[[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],.]]],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,6,7,10,1,2,11,4,5,12,8,9]
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],.]]],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [3,6,7,1,2,10,11,4,5,12,8,9]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,6,7,8,1,2,9,11,4,5,12,10]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,6,7,1,2,8,9,11,4,5,12,10]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,6,7,8,1,2,9,4,5,11,12,10]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,6,7,1,2,8,9,4,5,11,12,10]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,6,7,1,2,8,4,5,9,11,12,10]
[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => [[.,.],[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [3,4,5,7,8,10,1,2,11,6,9,12]
[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => [[.,.],[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [3,4,5,7,8,1,2,10,6,9,11,12]
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,4,5,7,1,2,10,11,6,8,12,9]
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,4,5,1,2,7,10,11,6,8,12,9]
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,4,5,7,1,2,10,6,8,11,12,9]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,4,5,1,2,7,10,6,8,11,12,9]
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,4,1,2,5,7,10,11,6,8,12,9]
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,4,1,2,5,7,10,6,8,11,12,9]
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,4,7,1,2,10,5,6,8,11,12,9]
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,7,10,5,6,8,11,12,9]
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,7,10,1,2,11,5,6,12,8,9]
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [3,4,7,1,2,10,11,5,6,12,8,9]
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [3,4,1,2,7,10,11,5,6,12,8,9]
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [3,4,7,1,2,10,5,6,11,12,8,9]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,7,10,5,6,11,12,8,9]
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,4,7,8,1,2,9,5,6,11,12,10]
[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,4,7,1,2,8,5,6,9,11,12,10]
[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [3,4,7,1,2,8,5,6,11,12,9,10]
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [2,3,5,6,1,8,9,4,7,10]
[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [2,1,3,8,4,5,9,6,7,10]
[.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,3,2,4,8,5,6,10,7,9]
[[.,[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.]],.] => [.,[[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [2,3,5,6,8,1,9,11,4,7,12,10]
[[[.,.],[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]]],.] => [.,[[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [2,1,3,4,6,5,7,8,10,9,11,12]
[.,[[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,3,2,4,9,5,6,11,7,8,12,10]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,1,2]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [8,1,9,2,3,4,5,6,7]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [3,4,5,6,7,8,1,9,2]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,10,1,2]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,4,5,6,7,8,9,1,3]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,4,6,7,8,9,1,3,5]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,4,6,8,9,1,3,5,7]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,6,8,1,3,5,7,9]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5,8,7,9]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5,8,7,9]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,4,5,6,7,8,9,10,1,3]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,4,6,7,8,9,10,1,3,5]
[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,4,5,6,7,8,9,3]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,4,6,8,9,10,1,3,5,7]
[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [.,[.,[.,[[[[[.,.],.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,4,6,7,8,9,3,5]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,4,6,8,10,1,3,5,7,9]
[[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [.,[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,6,8,9,3,5,7]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,6,8,1,3,5,7,10,9]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,6,8,3,5,7,9]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5,8,7,10,9]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5,8,7,9]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5,8,7,10,9]
[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] => [[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,2,3,4,5,9,6,7,8]
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,2,3,4,9,5,6,7,8]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,2,3,9,4,5,6,7,8]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,2,9,3,4,5,6,7,8]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,9,2,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,10,8,9]
[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] => [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,10,7,8,9]
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,2,3,4,5,10,6,7,8,9]
[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [1,2,3,4,10,5,6,7,8,9]
[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,2,3,10,4,5,6,7,8,9]
[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,2,10,3,4,5,6,7,8,9]
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,10,2,3,4,5,6,7,8,9]
[.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,6,2,7,9,3,4,5,10,8]
[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [5,6,1,8,9,2,3,4,7,10]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,4,1,7,8,2,5,6,9,10]
[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [5,6,1,2,8,9,3,4,7,10]
[[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,4,1,7,8,2,5,6,11,12,9,10]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,4,2,5,3,7,6,9,8]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5,8,7,10,9,11]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,6,8,5,7,9]
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,4,6,1,3,5,8,9,7]
[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,4,6,9,1,3,5,7,8]
[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,4,7,8,9,1,3,5,6]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,5,6,7,8,9,1,3,4]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5,8,7,9]
[[[[.,[[[[[.,.],.],.],.],.]],.],.],.] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,4,1,6,3,7,5,9,8]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,4,1,5,3,7,6,9,8]
[[[[[[.,[[[[.,.],.],.],.]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,1,6,3,8,5,10,7,9]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,5,3,6,4,8,7,9]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [4,1,2,5,3,7,6,9,8]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,4,5,6,7,8,9,2,3]
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,7,2,4,6,9,8]
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,7,2,4,6,9,8,10]
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,5,6,7,8,9,1,2,4]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [9,1,10,2,3,4,5,6,7,8]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7,8,9,10]
[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,6,7,3,4,9,10,5,8]
[[.,.],[.,[.,[.,[[[[.,.],.],.],.]]]]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5,8,7,9]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,7,6,9,8]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,7,6,9,8]
[[[[[.,[[.,.],.]],[.,.]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,5,1,6,3,4,9,10,7,8]
[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,5,6,3,4,9,10,7,8]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [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]
[[[.,.],[.,.]],[[.,.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [5,1,7,8,2,3,4,9,6]
[[[.,[[.,.],.]],[.,[[.,.],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [2,7,1,9,3,4,5,6,10,8]
[[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]],.] => [.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [2,6,1,9,3,4,5,7,8,10]
[[[.,[[.,.],[[.,.],.]]],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,6,1,8,9,3,10,4,5,7]
[[[.,[[.,.],[[.,.],[[.,.],.]]]],[.,.]],.] => [.,[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,5,1,6,7,3,8,9,4,10]
[[[.,[[.,.],[[.,[[.,.],.]],.]]],[.,.]],.] => [.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,5,1,6,7,8,3,10,4,9]
[[[.,[[.,.],.]],[.,[[.,.],[[.,.],[[.,.],.]]]]],.] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [2,8,1,10,3,4,5,6,11,7,9,12]
[[[.,[[.,.],.]],[.,[[.,.],[[.,[[.,.],.]],.]]]],.] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [2,7,1,10,3,4,5,6,12,8,9,11]
[[[.,[[.,.],.]],[.,[[.,[[.,.],.]],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [2,7,1,9,3,4,5,6,10,11,8,12]
[[[.,[[.,.],.]],[.,[[.,[[.,.],[[.,.],.]]],.]]],.] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [2,6,1,10,3,4,5,7,8,12,9,11]
[[[.,[[.,.],[[.,.],.]]],[.,[[.,.],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,7,1,9,10,3,12,4,5,6,8,11]
[[[.,[[.,.],[[.,.],.]]],[.,[[.,[[.,.],.]],.]]],.] => [.,[[[.,[[.,[.,.]],.]],.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,6,1,9,11,3,12,4,5,7,8,10]
[[[.,[[.,.],[[.,.],[[.,.],.]]]],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,6,1,8,9,3,10,11,4,12,5,7]
[[[.,[[.,.],[[.,[[.,.],.]],.]]],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,6,1,8,9,10,3,11,4,5,12,7]
[[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[.,.]],.] => [.,[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,5,1,6,7,3,8,9,4,10,12,11]
[[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],[.,.]],.] => [.,[[.,.],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [2,5,1,6,7,3,8,9,11,4,12,10]
[[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],[.,.]],.] => [.,[[.,.],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [2,5,1,6,7,8,3,11,4,9,10,12]
[[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],[.,.]],.] => [.,[[.,.],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [2,5,1,6,7,8,3,10,11,4,12,9]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,5,2,6,3,8,7,10,9]
[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,6,7,2,4,9,10,5,8]
[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]] => [[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [5,1,2,8,3,4,9,6,7,10]
[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,5,6,2,4,9,10,7,8]
[[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,5,6,3,4,9,10,7,8,11,12]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [5,1,6,2,7,3,8,4,9]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,1,7,2,8,3,9,4,5]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [7,1,8,2,9,3,4,5,6]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [5,1,6,2,7,3,8,4,10,9]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [6,1,7,2,8,3,9,4,10,5]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [7,1,8,2,9,3,10,4,5,6]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [8,1,9,2,10,3,4,5,6,7]
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,6,1,3,8,5,7,9]
[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [8,1,2,9,3,4,5,6,7]
[[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,10,8]
[[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [9,1,2,10,3,4,5,6,7,8]
[[[.,.],[.,.]],[.,[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [6,1,7,8,2,3,4,5,9]
[.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]] => [[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,2,3,4,6,8,5,7,9]
[[.,[[.,[.,.]],[.,.]]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[[.,.],[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [4,5,7,1,2,8,9,3,6]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,5,6,7,8,9,1,4]
[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.] => [.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,4,5,7,8,9,1,3,6]
[[[[.,[[.,[.,[.,[.,.]]]],.]],.],.],.] => [.,[.,[.,[[.,[[[[.,.],.],.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,6,7,9,1,3,5,8]
[[[[[.,[[.,[.,[.,.]]],.]],.],.],.],.] => [.,[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,6,8,1,3,5,9,7]
[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]] => [[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,8,9,6,7]
[.,[[[.,.],[.,.]],[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,5,2,7,8,3,4,6,9]
[[[[[[.,[[.,.],.]],[.,.]],[.,.]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,5,1,6,3,4,9,10,7,8,11,12]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,7,6,9,8]
[[[.,.],[[[[[[[.,.],.],.],.],.],.],.]],.] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,7,6,9,8,10]
[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,2,3,4,5,8,6,9,7]
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,8,2,9,3,4,5,6,7]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,4,1,5,2,7,6,9,8]
[[[.,[.,.]],[.,.]],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,6,1,2,7,9,3,5,8]
[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,5,2,6,3,7,4,9,8]
[.,[.,[[[[[[.,[.,.]],.],.],.],.],.]]] => [[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,2,4,6,3,5,8,7,9]
[.,[[[[[.,.],.],.],.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,6,2,7,3,8,4,9,5]
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [3,5,1,2,7,4,6,9,8]
[[.,[.,[.,[[[[[.,.],.],.],.],.]]]],.] => [.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,3,4,5,1,7,6,9,8]
[[[.,.],[.,.]],[[.,.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [4,1,7,8,2,3,5,9,6]
[.,[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]] => [[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,2,3,4,7,5,6,8,9]
[[[.,[.,[[[[[.,.],.],.],.],.]]],.],.] => [.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,4,5,1,6,3,8,7,9]
[[[[[[.,.],.],.],.],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,5,2,7,3,8,6,9]
[[[.,.],[.,[.,.]]],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [5,1,6,8,9,2,3,4,7]
[.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,5,3,6,4,8,7,9]
[[.,[.,.]],[[[[[[[.,.],.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,7,6,9,8,10]
[[[[[.,.],.],.],.],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [5,1,6,2,7,3,9,4,8]
[[[[.,.],.],.],[[.,.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [6,1,7,2,8,3,4,9,5]
[[[.,.],.],[[.,.],[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [7,1,8,2,3,9,4,5,6]
[[[[[.,.],[.,.]],[[.,.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,1,4,8,3,5,6,9,7]
[[[[.,[[.,[.,.]],[.,.]]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[[.,.],[[.,.],.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,5,6,1,3,9,10,4,7,8]
[.,[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,7,2,8,3,9,4,5,6]
[[.,[[.,[[[[[.,.],.],.],.],.]],.]],.] => [.,[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,5,1,6,4,8,7,9]
[[.,.],[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [4,1,2,5,3,7,6,9,8,10]
[[[[[[.,.],.],.],.],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,6,3,7,4,9,5,8]
[[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5,8,7,10,9,11]
[[[.,[.,.]],[[[[[.,.],.],.],.],.]],.] => [.,[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,5,1,3,4,7,6,9,8]
[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]] => [[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,7,8,9,5,6]
[[[[[[.,[.,[[[.,.],.],.]]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,4,6,1,8,3,10,5,7,9]
Map
left-right symmetry
Description
Return the left-right symmetrized tree of a binary tree.
Map
to Dyck path: up step, left tree, down step, right tree
Description
Return the associated Dyck path, using the bijection 1L0R.
This is given recursively as follows:
This is given recursively as follows:
- a leaf is associated to the empty Dyck Word
- a tree with children $l,r$ is associated with the Dyck path described by 1L0R where $L$ and $R$ are respectively the Dyck words associated with the trees $l$ and $r$.
Map
to 321-avoiding permutation
Description
Sends a Dyck path to a 321-avoiding permutation.
This bijection defined in [3, pp. 60] and in [2, Section 3.1].
It is shown in [1] that it sends the number of centered tunnels to the number of fixed points, the number of right tunnels to the number of exceedences, and the semilength plus the height of the middle point to 2 times the length of the longest increasing subsequence.
This bijection defined in [3, pp. 60] and in [2, Section 3.1].
It is shown in [1] that it sends the number of centered tunnels to the number of fixed points, the number of right tunnels to the number of exceedences, and the semilength plus the height of the middle point to 2 times the length of the longest increasing subsequence.
searching the database
Sorry, this map was not found in the database.