Identifier
Mp00034:
Dyck paths
—to binary tree: up step, left tree, down step, right tree⟶
Binary trees
Mp00010: Binary trees —to ordered tree: left child = left brother⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00010: Binary trees —to ordered tree: left child = left brother⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Images
[1,0] => [.,.] => [[]] => [[]]
[1,0,1,0] => [.,[.,.]] => [[[]]] => [[[]]]
[1,1,0,0] => [[.,.],.] => [[],[]] => [[],[]]
[1,0,1,0,1,0] => [.,[.,[.,.]]] => [[[[]]]] => [[[[]]]]
[1,0,1,1,0,0] => [.,[[.,.],.]] => [[[],[]]] => [[[],[]]]
[1,1,0,0,1,0] => [[.,.],[.,.]] => [[],[[]]] => [[[]],[]]
[1,1,0,1,0,0] => [[.,[.,.]],.] => [[[]],[]] => [[],[[]]]
[1,1,1,0,0,0] => [[[.,.],.],.] => [[],[],[]] => [[],[],[]]
[1,0,1,0,1,0,1,0] => [.,[.,[.,[.,.]]]] => [[[[[]]]]] => [[[[[]]]]]
[1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => [[[[],[]]]] => [[[[],[]]]]
[1,0,1,1,0,0,1,0] => [.,[[.,.],[.,.]]] => [[[],[[]]]] => [[[[]],[]]]
[1,0,1,1,0,1,0,0] => [.,[[.,[.,.]],.]] => [[[[]],[]]] => [[[],[[]]]]
[1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => [[[],[],[]]] => [[[],[],[]]]
[1,1,0,0,1,0,1,0] => [[.,.],[.,[.,.]]] => [[],[[[]]]] => [[[[]]],[]]
[1,1,0,0,1,1,0,0] => [[.,.],[[.,.],.]] => [[],[[],[]]] => [[[],[]],[]]
[1,1,0,1,0,0,1,0] => [[.,[.,.]],[.,.]] => [[[]],[[]]] => [[[]],[[]]]
[1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],.] => [[[[]]],[]] => [[],[[[]]]]
[1,1,0,1,1,0,0,0] => [[.,[[.,.],.]],.] => [[[],[]],[]] => [[],[[],[]]]
[1,1,1,0,0,0,1,0] => [[[.,.],.],[.,.]] => [[],[],[[]]] => [[[]],[],[]]
[1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => [[],[[]],[]] => [[],[[]],[]]
[1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => [[[]],[],[]] => [[],[],[[]]]
[1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => [[],[],[],[]] => [[],[],[],[]]
[1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => [[[[[[]]]]]] => [[[[[[]]]]]]
[1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => [[[[[],[]]]]] => [[[[[],[]]]]]
[1,0,1,0,1,1,0,0,1,0] => [.,[.,[[.,.],[.,.]]]] => [[[[],[[]]]]] => [[[[[]],[]]]]
[1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => [[[[[]],[]]]] => [[[[],[[]]]]]
[1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => [[[[],[],[]]]] => [[[[],[],[]]]]
[1,0,1,1,0,0,1,0,1,0] => [.,[[.,.],[.,[.,.]]]] => [[[],[[[]]]]] => [[[[[]]],[]]]
[1,0,1,1,0,0,1,1,0,0] => [.,[[.,.],[[.,.],.]]] => [[[],[[],[]]]] => [[[[],[]],[]]]
[1,0,1,1,0,1,0,0,1,0] => [.,[[.,[.,.]],[.,.]]] => [[[[]],[[]]]] => [[[[]],[[]]]]
[1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => [[[[[]]],[]]] => [[[],[[[]]]]]
[1,0,1,1,0,1,1,0,0,0] => [.,[[.,[[.,.],.]],.]] => [[[[],[]],[]]] => [[[],[[],[]]]]
[1,0,1,1,1,0,0,0,1,0] => [.,[[[.,.],.],[.,.]]] => [[[],[],[[]]]] => [[[[]],[],[]]]
[1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => [[[],[[]],[]]] => [[[],[[]],[]]]
[1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => [[[[]],[],[]]] => [[[],[],[[]]]]
[1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => [[[],[],[],[]]] => [[[],[],[],[]]]
[1,1,0,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,.]]]] => [[],[[[[]]]]] => [[[[[]]]],[]]
[1,1,0,0,1,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [[],[[[],[]]]] => [[[[],[]]],[]]
[1,1,0,0,1,1,0,0,1,0] => [[.,.],[[.,.],[.,.]]] => [[],[[],[[]]]] => [[[[]],[]],[]]
[1,1,0,0,1,1,0,1,0,0] => [[.,.],[[.,[.,.]],.]] => [[],[[[]],[]]] => [[[],[[]]],[]]
[1,1,0,0,1,1,1,0,0,0] => [[.,.],[[[.,.],.],.]] => [[],[[],[],[]]] => [[[],[],[]],[]]
[1,1,0,1,0,0,1,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [[[]],[[[]]]] => [[[[]]],[[]]]
[1,1,0,1,0,0,1,1,0,0] => [[.,[.,.]],[[.,.],.]] => [[[]],[[],[]]] => [[[],[]],[[]]]
[1,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,.]]],[.,.]] => [[[[]]],[[]]] => [[[]],[[[]]]]
[1,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],.] => [[[[[]]]],[]] => [[],[[[[]]]]]
[1,1,0,1,0,1,1,0,0,0] => [[.,[.,[[.,.],.]]],.] => [[[[],[]]],[]] => [[],[[[],[]]]]
[1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],.]],[.,.]] => [[[],[]],[[]]] => [[[]],[[],[]]]
[1,1,0,1,1,0,0,1,0,0] => [[.,[[.,.],[.,.]]],.] => [[[],[[]]],[]] => [[],[[[]],[]]]
[1,1,0,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],.]],.] => [[[[]],[]],[]] => [[],[[],[[]]]]
[1,1,0,1,1,1,0,0,0,0] => [[.,[[[.,.],.],.]],.] => [[[],[],[]],[]] => [[],[[],[],[]]]
[1,1,1,0,0,0,1,0,1,0] => [[[.,.],.],[.,[.,.]]] => [[],[],[[[]]]] => [[[[]]],[],[]]
[1,1,1,0,0,0,1,1,0,0] => [[[.,.],.],[[.,.],.]] => [[],[],[[],[]]] => [[[],[]],[],[]]
[1,1,1,0,0,1,0,0,1,0] => [[[.,.],[.,.]],[.,.]] => [[],[[]],[[]]] => [[[]],[[]],[]]
[1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => [[],[[[]]],[]] => [[],[[[]]],[]]
[1,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],.]],.] => [[],[[],[]],[]] => [[],[[],[]],[]]
[1,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],.],[.,.]] => [[[]],[],[[]]] => [[[]],[],[[]]]
[1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => [[[]],[[]],[]] => [[],[[]],[[]]]
[1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => [[[[]]],[],[]] => [[],[],[[[]]]]
[1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => [[[],[]],[],[]] => [[],[],[[],[]]]
[1,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],.],[.,.]] => [[],[],[],[[]]] => [[[]],[],[],[]]
[1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => [[],[],[[]],[]] => [[],[[]],[],[]]
[1,1,1,1,0,0,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [[],[[]],[],[]] => [[],[],[[]],[]]
[1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => [[[]],[],[],[]] => [[],[],[],[[]]]
[1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],.] => [[],[],[],[],[]] => [[],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[[.,.],[.,.]]]]] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => [[[[[[]],[]]]]] => [[[[[],[[]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,.]]]]] => [[[[],[[[]]]]]] => [[[[[[]]],[]]]]
[1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[[.,.],[[.,.],.]]]] => [[[[],[[],[]]]]] => [[[[[],[]],[]]]]
[1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[[.,[.,.]],[.,.]]]] => [[[[[]],[[]]]]] => [[[[[]],[[]]]]]
[1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]]
[1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[[.,[[.,.],.]],.]]] => [[[[[],[]],[]]]] => [[[[],[[],[]]]]]
[1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[[[.,.],.],[.,.]]]] => [[[[],[],[[]]]]] => [[[[[]],[],[]]]]
[1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => [[[[],[[]],[]]]] => [[[[],[[]],[]]]]
[1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => [[[[[]],[],[]]]] => [[[[],[],[[]]]]]
[1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => [[[[],[],[],[]]]] => [[[[],[],[],[]]]]
[1,0,1,1,0,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,.]]]]] => [[[],[[[[]]]]]] => [[[[[[]]]],[]]]
[1,0,1,1,0,0,1,0,1,1,0,0] => [.,[[.,.],[.,[[.,.],.]]]] => [[[],[[[],[]]]]] => [[[[[],[]]],[]]]
[1,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,.],[[.,.],[.,.]]]] => [[[],[[],[[]]]]] => [[[[[]],[]],[]]]
[1,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,.],[[.,[.,.]],.]]] => [[[],[[[]],[]]]] => [[[[],[[]]],[]]]
[1,0,1,1,0,0,1,1,1,0,0,0] => [.,[[.,.],[[[.,.],.],.]]] => [[[],[[],[],[]]]] => [[[[],[],[]],[]]]
[1,0,1,1,0,1,0,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,.]]]] => [[[[]],[[[]]]]] => [[[[[]]],[[]]]]
[1,0,1,1,0,1,0,0,1,1,0,0] => [.,[[.,[.,.]],[[.,.],.]]] => [[[[]],[[],[]]]] => [[[[],[]],[[]]]]
[1,0,1,1,0,1,0,1,0,0,1,0] => [.,[[.,[.,[.,.]]],[.,.]]] => [[[[[]]],[[]]]] => [[[[]],[[[]]]]]
[1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => [[[[[[]]]],[]]] => [[[],[[[[]]]]]]
[1,0,1,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[[.,.],.]]],.]] => [[[[[],[]]],[]]] => [[[],[[[],[]]]]]
[1,0,1,1,0,1,1,0,0,0,1,0] => [.,[[.,[[.,.],.]],[.,.]]] => [[[[],[]],[[]]]] => [[[[]],[[],[]]]]
[1,0,1,1,0,1,1,0,0,1,0,0] => [.,[[.,[[.,.],[.,.]]],.]] => [[[[],[[]]],[]]] => [[[],[[[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,0,0] => [.,[[.,[[.,[.,.]],.]],.]] => [[[[[]],[]],[]]] => [[[],[[],[[]]]]]
[1,0,1,1,0,1,1,1,0,0,0,0] => [.,[[.,[[[.,.],.],.]],.]] => [[[[],[],[]],[]]] => [[[],[[],[],[]]]]
[1,0,1,1,1,0,0,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,.]]]] => [[[],[],[[[]]]]] => [[[[[]]],[],[]]]
[1,0,1,1,1,0,0,0,1,1,0,0] => [.,[[[.,.],.],[[.,.],.]]] => [[[],[],[[],[]]]] => [[[[],[]],[],[]]]
[1,0,1,1,1,0,0,1,0,0,1,0] => [.,[[[.,.],[.,.]],[.,.]]] => [[[],[[]],[[]]]] => [[[[]],[[]],[]]]
[1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => [[[],[[[]]],[]]] => [[[],[[[]]],[]]]
[1,0,1,1,1,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],.]],.]] => [[[],[[],[]],[]]] => [[[],[[],[]],[]]]
[1,0,1,1,1,0,1,0,0,0,1,0] => [.,[[[.,[.,.]],.],[.,.]]] => [[[[]],[],[[]]]] => [[[[]],[],[[]]]]
[1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => [[[[]],[[]],[]]] => [[[],[[]],[[]]]]
[1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => [[[[[]]],[],[]]] => [[[],[],[[[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => [[[[],[]],[],[]]] => [[[],[],[[],[]]]]
>>> Load all 2265 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [.,[[[[.,.],.],.],[.,.]]] => [[[],[],[],[[]]]] => [[[[]],[],[],[]]]
[1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => [[[],[],[[]],[]]] => [[[],[[]],[],[]]]
[1,0,1,1,1,1,0,0,1,0,0,0] => [.,[[[[.,.],[.,.]],.],.]] => [[[],[[]],[],[]]] => [[[],[],[[]],[]]]
[1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => [[[[]],[],[],[]]] => [[[],[],[],[[]]]]
[1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => [[[],[],[],[],[]]] => [[[],[],[],[],[]]]
[1,1,0,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,.]]]]] => [[],[[[[[]]]]]] => [[[[[[]]]]],[]]
[1,1,0,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[[.,.],.]]]] => [[],[[[[],[]]]]] => [[[[[],[]]]],[]]
[1,1,0,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[[.,.],[.,.]]]] => [[],[[[],[[]]]]] => [[[[[]],[]]],[]]
[1,1,0,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[[.,[.,.]],.]]] => [[],[[[[]],[]]]] => [[[[],[[]]]],[]]
[1,1,0,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]] => [[],[[[],[],[]]]] => [[[[],[],[]]],[]]
[1,1,0,0,1,1,0,0,1,0,1,0] => [[.,.],[[.,.],[.,[.,.]]]] => [[],[[],[[[]]]]] => [[[[[]]],[]],[]]
[1,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[.,.],.]]] => [[],[[],[[],[]]]] => [[[[],[]],[]],[]]
[1,1,0,0,1,1,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],[.,.]]] => [[],[[[]],[[]]]] => [[[[]],[[]]],[]]
[1,1,0,0,1,1,0,1,0,1,0,0] => [[.,.],[[.,[.,[.,.]]],.]] => [[],[[[[]]],[]]] => [[[],[[[]]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],.]],.]] => [[],[[[],[]],[]]] => [[[],[[],[]]],[]]
[1,1,0,0,1,1,1,0,0,0,1,0] => [[.,.],[[[.,.],.],[.,.]]] => [[],[[],[],[[]]]] => [[[[]],[],[]],[]]
[1,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[.,.]],.]] => [[],[[],[[]],[]]] => [[[],[[]],[]],[]]
[1,1,0,0,1,1,1,0,1,0,0,0] => [[.,.],[[[.,[.,.]],.],.]] => [[],[[[]],[],[]]] => [[[],[],[[]]],[]]
[1,1,0,0,1,1,1,1,0,0,0,0] => [[.,.],[[[[.,.],.],.],.]] => [[],[[],[],[],[]]] => [[[],[],[],[]],[]]
[1,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,.]]]] => [[[]],[[[[]]]]] => [[[[[]]]],[[]]]
[1,1,0,1,0,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[[.,.],.]]] => [[[]],[[[],[]]]] => [[[[],[]]],[[]]]
[1,1,0,1,0,0,1,1,0,0,1,0] => [[.,[.,.]],[[.,.],[.,.]]] => [[[]],[[],[[]]]] => [[[[]],[]],[[]]]
[1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,[.,.]],.]] => [[[]],[[[]],[]]] => [[[],[[]]],[[]]]
[1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[[[.,.],.],.]] => [[[]],[[],[],[]]] => [[[],[],[]],[[]]]
[1,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,.]]] => [[[[]]],[[[]]]] => [[[[]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => [[[[]]],[[],[]]] => [[[],[]],[[[]]]]
[1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,.]]]],[.,.]] => [[[[[]]]],[[]]] => [[[]],[[[[]]]]]
[1,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],.] => [[[[[[]]]]],[]] => [[],[[[[[]]]]]]
[1,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[[.,.],.]]]],.] => [[[[[],[]]]],[]] => [[],[[[[],[]]]]]
[1,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],[.,.]] => [[[[],[]]],[[]]] => [[[]],[[[],[]]]]
[1,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[[.,.],[.,.]]]],.] => [[[[],[[]]]],[]] => [[],[[[[]],[]]]]
[1,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[[.,[.,.]],.]]],.] => [[[[[]],[]]],[]] => [[],[[[],[[]]]]]
[1,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,[[[.,.],.],.]]],.] => [[[[],[],[]]],[]] => [[],[[[],[],[]]]]
[1,1,0,1,1,0,0,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,.]]] => [[[],[]],[[[]]]] => [[[[]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => [[[],[]],[[],[]]] => [[[],[]],[[],[]]]
[1,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[.,.],[.,.]]],[.,.]] => [[[],[[]]],[[]]] => [[[]],[[[]],[]]]
[1,1,0,1,1,0,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,.]]]],.] => [[[],[[[]]]],[]] => [[],[[[[]]],[]]]
[1,1,0,1,1,0,0,1,1,0,0,0] => [[.,[[.,.],[[.,.],.]]],.] => [[[],[[],[]]],[]] => [[],[[[],[]],[]]]
[1,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,[.,.]],.]],[.,.]] => [[[[]],[]],[[]]] => [[[]],[[],[[]]]]
[1,1,0,1,1,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],[.,.]]],.] => [[[[]],[[]]],[]] => [[],[[[]],[[]]]]
[1,1,0,1,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,.]]],.]],.] => [[[[[]]],[]],[]] => [[],[[],[[[]]]]]
[1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,[[.,.],.]],.]],.] => [[[[],[]],[]],[]] => [[],[[],[[],[]]]]
[1,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[[.,.],.],.]],[.,.]] => [[[],[],[]],[[]]] => [[[]],[[],[],[]]]
[1,1,0,1,1,1,0,0,0,1,0,0] => [[.,[[[.,.],.],[.,.]]],.] => [[[],[],[[]]],[]] => [[],[[[]],[],[]]]
[1,1,0,1,1,1,0,0,1,0,0,0] => [[.,[[[.,.],[.,.]],.]],.] => [[[],[[]],[]],[]] => [[],[[],[[]],[]]]
[1,1,0,1,1,1,0,1,0,0,0,0] => [[.,[[[.,[.,.]],.],.]],.] => [[[[]],[],[]],[]] => [[],[[],[],[[]]]]
[1,1,0,1,1,1,1,0,0,0,0,0] => [[.,[[[[.,.],.],.],.]],.] => [[[],[],[],[]],[]] => [[],[[],[],[],[]]]
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[1,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],.],[[[.,.],.],.]] => [[],[],[[],[],[]]] => [[[],[],[]],[],[]]
[1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,.]]] => [[],[[]],[[[]]]] => [[[[]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [[],[[]],[[],[]]] => [[[],[]],[[]],[]]
[1,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,.]]],[.,.]] => [[],[[[]]],[[]]] => [[[]],[[[]]],[]]
[1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => [[],[[[[]]]],[]] => [[],[[[[]]]],[]]
[1,1,1,0,0,1,0,1,1,0,0,0] => [[[.,.],[.,[[.,.],.]]],.] => [[],[[[],[]]],[]] => [[],[[[],[]]],[]]
[1,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,.],.]],[.,.]] => [[],[[],[]],[[]]] => [[[]],[[],[]],[]]
[1,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[.,.]]],.] => [[],[[],[[]]],[]] => [[],[[[]],[]],[]]
[1,1,1,0,0,1,1,0,1,0,0,0] => [[[.,.],[[.,[.,.]],.]],.] => [[],[[[]],[]],[]] => [[],[[],[[]]],[]]
[1,1,1,0,0,1,1,1,0,0,0,0] => [[[.,.],[[[.,.],.],.]],.] => [[],[[],[],[]],[]] => [[],[[],[],[]],[]]
[1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,.]]] => [[[]],[],[[[]]]] => [[[[]]],[],[[]]]
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[1,1,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[.,.]],[.,.]] => [[[]],[[]],[[]]] => [[[]],[[]],[[]]]
[1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => [[[]],[[[]]],[]] => [[],[[[]]],[[]]]
[1,1,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,.]],[[.,.],.]],.] => [[[]],[[],[]],[]] => [[],[[],[]],[[]]]
[1,1,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[]]],[],[[]]] => [[[]],[],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => [[[[]]],[[]],[]] => [[],[[]],[[[]]]]
[1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => [[[[[]]]],[],[]] => [[],[],[[[[]]]]]
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[1,1,1,1,0,0,0,1,1,0,0,0] => [[[[.,.],.],[[.,.],.]],.] => [[],[],[[],[]],[]] => [[],[[],[]],[],[]]
[1,1,1,1,0,0,1,0,0,0,1,0] => [[[[.,.],[.,.]],.],[.,.]] => [[],[[]],[],[[]]] => [[[]],[],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],.] => [[],[[]],[[]],[]] => [[],[[]],[[]],[]]
[1,1,1,1,0,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,.]]],.],.] => [[],[[[]]],[],[]] => [[],[],[[[]]],[]]
[1,1,1,1,0,0,1,1,0,0,0,0] => [[[[.,.],[[.,.],.]],.],.] => [[],[[],[]],[],[]] => [[],[],[[],[]],[]]
[1,1,1,1,0,1,0,0,0,0,1,0] => [[[[.,[.,.]],.],.],[.,.]] => [[[]],[],[],[[]]] => [[[]],[],[],[[]]]
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[1,1,1,1,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],[.,.]],.],.] => [[[]],[[]],[],[]] => [[],[],[[]],[[]]]
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[1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => [[],[],[],[[]],[]] => [[],[[]],[],[],[]]
[1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[.,.],.],[.,.]],.],.] => [[],[],[[]],[],[]] => [[],[],[[]],[],[]]
[1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[.,.],[.,.]],.],.],.] => [[],[[]],[],[],[]] => [[],[],[],[[]],[]]
[1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => [[[]],[],[],[],[]] => [[],[],[],[],[[]]]
[1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => [[],[],[],[],[],[]] => [[],[],[],[],[],[]]
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[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [[[[[],[[[]]]]]]] => [[[[[[[]]],[]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [[[[[],[[],[]]]]]] => [[[[[[],[]],[]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [[[[[[[]]],[]]]]] => [[[[[],[[[]]]]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [[[[[[],[]],[]]]]] => [[[[[],[[],[]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [[[[[],[],[[]]]]]] => [[[[[[]],[],[]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [[[[[[]],[],[]]]]] => [[[[[],[],[[]]]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [[[[[],[],[],[]]]]] => [[[[[],[],[],[]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [[[[],[[[[]]]]]]] => [[[[[[[]]]],[]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [[[[],[[[],[]]]]]] => [[[[[[],[]]],[]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [[[[],[[],[[]]]]]] => [[[[[[]],[]],[]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [[[[],[[[]],[]]]]] => [[[[[],[[]]],[]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [[[[],[[],[],[]]]]] => [[[[[],[],[]],[]]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [[[[[]],[[[]]]]]] => [[[[[[]]],[[]]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [[[[[]],[[],[]]]]] => [[[[[],[]],[[]]]]]
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[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]]]
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[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [[[[[],[[]]],[]]]] => [[[[],[[[]],[]]]]]
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[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [[[[[],[],[]],[]]]] => [[[[],[[],[],[]]]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [[[[],[],[[[]]]]]] => [[[[[[]]],[],[]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [[[[],[],[[],[]]]]] => [[[[[],[]],[],[]]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [[[[],[[]],[[]]]]] => [[[[[]],[[]],[]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [[[[],[[[]]],[]]]] => [[[[],[[[]]],[]]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [[[[],[[],[]],[]]]] => [[[[],[[],[]],[]]]]
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[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [[[[[]],[[]],[]]]] => [[[[],[[]],[[]]]]]
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[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [[[[[],[]],[],[]]]] => [[[[],[],[[],[]]]]]
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[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [[[[],[],[[]],[]]]] => [[[[],[[]],[],[]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [[[[],[[]],[],[]]]] => [[[[],[],[[]],[]]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [[[[[]],[],[],[]]]] => [[[[],[],[],[[]]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[[[[[.,.],.],.],.],.]]] => [[[[],[],[],[],[]]]] => [[[[],[],[],[],[]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [[[],[[[[],[]]]]]] => [[[[[[],[]]]],[]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [[[],[[[],[[]]]]]] => [[[[[[]],[]]],[]]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [[[],[[[[]],[]]]]] => [[[[[],[[]]]],[]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [[[],[[[],[],[]]]]] => [[[[[],[],[]]],[]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [[[],[[],[[[]]]]]] => [[[[[[]]],[]],[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [[[],[[[]],[[]]]]] => [[[[[]],[[]]],[]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [[[],[[[[]]],[]]]] => [[[[],[[[]]]],[]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [[[],[[],[],[[]]]]] => [[[[[]],[],[]],[]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [[[],[[],[[]],[]]]] => [[[[],[[]],[]],[]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [[[],[[[]],[],[]]]] => [[[[],[],[[]]],[]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [.,[[.,.],[[[[.,.],.],.],.]]] => [[[],[[],[],[],[]]]] => [[[[],[],[],[]],[]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [[[[]],[[],[[]]]]] => [[[[[]],[]],[[]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [[[[]],[[[]],[]]]] => [[[[],[[]]],[[]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [[[[[]]],[[[]]]]] => [[[[[]]],[[[]]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [[[[[]]],[[],[]]]] => [[[[],[]],[[[]]]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [[[[[[]]]],[[]]]] => [[[[]],[[[[]]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [[[[[[[]]]]],[]]] => [[[],[[[[[]]]]]]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [[[[[[],[]]]],[]]] => [[[],[[[[],[]]]]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [[[[[],[]]],[[]]]] => [[[[]],[[[],[]]]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [[[[[],[[]]]],[]]] => [[[],[[[[]],[]]]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]]]
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[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [[[[],[]],[[[]]]]] => [[[[[]]],[[],[]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [[[[],[[]]],[[]]]] => [[[[]],[[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [[[[],[[[]]]],[]]] => [[[],[[[[]]],[]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [[[[[]],[]],[[]]]] => [[[[]],[[],[[]]]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [[[[[]],[[]]],[]]] => [[[],[[[]],[[]]]]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [[[[[[]]],[]],[]]] => [[[],[[],[[[]]]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [[[[],[],[]],[[]]]] => [[[[]],[[],[],[]]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [[[[],[],[[]]],[]]] => [[[],[[[]],[],[]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [[[[],[[]],[]],[]]] => [[[],[[],[[]],[]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [[[[[]],[],[]],[]]] => [[[],[[],[],[[]]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [.,[[.,[[[[.,.],.],.],.]],.]] => [[[[],[],[],[]],[]]] => [[[],[[],[],[],[]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [[[],[],[[[[]]]]]] => [[[[[[]]]],[],[]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [[[],[],[[[],[]]]]] => [[[[[],[]]],[],[]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [[[],[],[[],[[]]]]] => [[[[[]],[]],[],[]]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [[[],[],[[[]],[]]]] => [[[[],[[]]],[],[]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [.,[[[.,.],.],[[[.,.],.],.]]] => [[[],[],[[],[],[]]]] => [[[[],[],[]],[],[]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [[[],[[]],[[[]]]]] => [[[[[]]],[[]],[]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [[[],[[]],[[],[]]]] => [[[[],[]],[[]],[]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [[[],[[[]]],[[]]]] => [[[[]],[[[]]],[]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [[[],[[[[]]]],[]]] => [[[],[[[[]]]],[]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [[[],[[[],[]]],[]]] => [[[],[[[],[]]],[]]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [[[],[[],[]],[[]]]] => [[[[]],[[],[]],[]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [[[],[[],[[]]],[]]] => [[[],[[[]],[]],[]]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [[[],[[[]],[]],[]]] => [[[],[[],[[]]],[]]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [.,[[[.,.],[[[.,.],.],.]],.]] => [[[],[[],[],[]],[]]] => [[[],[[],[],[]],[]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [[[[]],[],[[],[]]]] => [[[[],[]],[],[[]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [[[[]],[[[]]],[]]] => [[[],[[[]]],[[]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [[[[]],[[],[]],[]]] => [[[],[[],[]],[[]]]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [[[[[[]]]],[],[]]] => [[[],[],[[[[]]]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [[[[[],[]]],[],[]]] => [[[],[],[[[],[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [[[[],[]],[[]],[]]] => [[[],[[]],[[],[]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [[[[],[[]]],[],[]]] => [[[],[],[[[]],[]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [[[[[]],[]],[],[]]] => [[[],[],[[],[[]]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => [[[[],[],[]],[],[]]] => [[[],[],[[],[],[]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [[[],[],[],[[[]]]]] => [[[[[]]],[],[],[]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [.,[[[[.,.],.],.],[[.,.],.]]] => [[[],[],[],[[],[]]]] => [[[[],[]],[],[],[]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [[[],[],[[]],[[]]]] => [[[[]],[[]],[],[]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [[[],[],[[[]]],[]]] => [[[],[[[]]],[],[]]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [.,[[[[.,.],.],[[.,.],.]],.]] => [[[],[],[[],[]],[]]] => [[[],[[],[]],[],[]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [[[],[[]],[],[[]]]] => [[[[]],[],[[]],[]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [[[],[[]],[[]],[]]] => [[[],[[]],[[]],[]]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [[[],[[[]]],[],[]]] => [[[],[],[[[]]],[]]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [.,[[[[.,.],[[.,.],.]],.],.]] => [[[],[[],[]],[],[]]] => [[[],[],[[],[]],[]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [[[[]],[[]],[],[]]] => [[[],[],[[]],[[]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [.,[[[[.,[[.,.],.]],.],.],.]] => [[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [.,[[[[[.,.],.],.],.],[.,.]]] => [[[],[],[],[],[[]]]] => [[[[]],[],[],[],[]]]
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[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [.,[[[[[.,.],.],[.,.]],.],.]] => [[[],[],[[]],[],[]]] => [[[],[],[[]],[],[]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => [[[],[[]],[],[],[]]] => [[[],[],[],[[]],[]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [.,[[[[[.,[.,.]],.],.],.],.]] => [[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[[[[[[.,.],.],.],.],.],.]] => [[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [[],[[[[],[[]]]]]] => [[[[[[]],[]]]],[]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [[],[[[[[]],[]]]]] => [[[[[],[[]]]]],[]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [[],[[[],[[[]]]]]] => [[[[[[]]],[]]],[]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [[],[[[],[[],[]]]]] => [[[[[],[]],[]]],[]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [[],[[[[[]]],[]]]] => [[[[],[[[]]]]],[]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [[],[[[[],[]],[]]]] => [[[[],[[],[]]]],[]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [[],[[[],[],[[]]]]] => [[[[[]],[],[]]],[]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [[],[[[[]],[],[]]]] => [[[[],[],[[]]]],[]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[[[[.,.],.],.],.]]] => [[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [[],[[],[[[],[]]]]] => [[[[[],[]]],[]],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [[],[[],[[],[[]]]]] => [[[[[]],[]],[]],[]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [[],[[],[[[]],[]]]] => [[[[],[[]]],[]],[]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[.,.],[[.,.],[[[.,.],.],.]]] => [[],[[],[[],[],[]]]] => [[[[],[],[]],[]],[]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [[],[[[]],[[[]]]]] => [[[[[]]],[[]]],[]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [[],[[[]],[[],[]]]] => [[[[],[]],[[]]],[]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [[],[[[[]]],[[]]]] => [[[[]],[[[]]]],[]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [[],[[[[[]]]],[]]] => [[[],[[[[]]]]],[]]
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[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [[],[[[],[]],[[]]]] => [[[[]],[[],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [[],[[[],[[]]],[]]] => [[[],[[[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [[],[[[[]],[]],[]]] => [[[],[[],[[]]]],[]]
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[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[.,.],[[[.,.],.],[[.,.],.]]] => [[],[[],[],[[],[]]]] => [[[[],[]],[],[]],[]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [[],[[],[[]],[[]]]] => [[[[]],[[]],[]],[]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [[],[[],[[[]]],[]]] => [[[],[[[]]],[]],[]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[.,.],[[[.,.],[[.,.],.]],.]] => [[],[[],[[],[]],[]]] => [[[],[[],[]],[]],[]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [[],[[[]],[],[[]]]] => [[[[]],[],[[]]],[]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [[],[[[]],[[]],[]]] => [[[],[[]],[[]]],[]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [[],[[[[]]],[],[]]] => [[[],[],[[[]]]],[]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[[[.,[[.,.],.]],.],.]] => [[],[[[],[]],[],[]]] => [[[],[],[[],[]]],[]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[.,.],[[[[.,.],.],.],[.,.]]] => [[],[[],[],[],[[]]]] => [[[[]],[],[],[]],[]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[.,.],[[[[.,.],.],[.,.]],.]] => [[],[[],[],[[]],[]]] => [[[],[[]],[],[]],[]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[.,.],[[[[.,.],[.,.]],.],.]] => [[],[[],[[]],[],[]]] => [[[],[],[[]],[]],[]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[[[[.,[.,.]],.],.],.]] => [[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[[[[[.,.],.],.],.],.]] => [[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [[[]],[[[[],[]]]]] => [[[[[],[]]]],[[]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [[[]],[[[],[[]]]]] => [[[[[]],[]]],[[]]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [[[]],[[[[]],[]]]] => [[[[],[[]]]],[[]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [[[]],[[[],[],[]]]] => [[[[],[],[]]],[[]]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [[[]],[[],[[[]]]]] => [[[[[]]],[]],[[]]]
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[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [[[]],[[[]],[[]]]] => [[[[]],[[]]],[[]]]
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[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [[[]],[[],[],[[]]]] => [[[[]],[],[]],[[]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [[[]],[[],[[]],[]]] => [[[],[[]],[]],[[]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [[[]],[[[]],[],[]]] => [[[],[],[[]]],[[]]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[[[[.,.],.],.],.]] => [[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[[[]]],[[[[]]]]] => [[[[[]]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [[[[]]],[[[],[]]]] => [[[[],[]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [[[[]]],[[],[],[]]] => [[[],[],[]],[[[]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[[[[]]]],[[[]]]] => [[[[]]],[[[[]]]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [[[[[]]]],[[],[]]] => [[[],[]],[[[[]]]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [[[[],[]]],[[[]]]] => [[[[]]],[[[],[]]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [[[[],[]]],[[],[]]] => [[[],[]],[[[],[]]]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[.,[.,[[[[.,.],.],.],.]]],.] => [[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [[[],[]],[[[],[]]]] => [[[[],[]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [[[],[]],[[],[[]]]] => [[[[]],[]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [[[],[]],[[[]],[]]] => [[[],[[]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[[[.,.],.],.]] => [[[],[]],[[],[],[]]] => [[[],[],[]],[[],[]]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[.,[[.,.],[[[.,.],.],.]]],.] => [[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [[[[]],[]],[[[]]]] => [[[[]]],[[],[[]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [[[[]],[]],[[],[]]] => [[[],[]],[[],[[]]]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[.,[[.,[[[.,.],.],.]],.]],.] => [[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[[.,.],.]] => [[[],[],[]],[[],[]]] => [[[],[]],[[],[],[]]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[.,[[[.,.],.],[[.,.],.]]],.] => [[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[.,[[[.,.],[[.,.],.]],.]],.] => [[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[.,[[[.,[[.,.],.]],.],.]],.] => [[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[.,[[[[.,.],.],.],.]],[.,.]] => [[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[.,[[[[.,.],.],.],[.,.]]],.] => [[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[.,[[[[.,.],.],[.,.]],.]],.] => [[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[.,[[[[.,.],[.,.]],.],.]],.] => [[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[.,[[[[.,[.,.]],.],.],.]],.] => [[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,[[[[[.,.],.],.],.],.]],.] => [[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [[],[],[[[[],[]]]]] => [[[[[],[]]]],[],[]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[[[.,.],.],.]]] => [[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,.],.],[[.,.],[[.,.],.]]] => [[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[[.,[[.,.],.]],.]] => [[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,.],.],[[[.,.],.],[.,.]]] => [[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[[.,.],.],[[[.,.],[.,.]],.]] => [[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[[[.,[.,.]],.],.]] => [[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[[[[.,.],.],.],.]] => [[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [[],[[]],[[[],[]]]] => [[[[],[]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [[],[[]],[[],[[]]]] => [[[[]],[]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [[],[[]],[[[]],[]]] => [[[],[[]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[.,.]],[[[.,.],.],.]] => [[],[[]],[[],[],[]]] => [[[],[],[]],[[]],[]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [[],[[[]]],[[],[]]] => [[[],[]],[[[]]],[]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,[[[.,.],.],.]]],.] => [[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [[],[[],[]],[[[]]]] => [[[[]]],[[],[]],[]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[.,.],.]],[[.,.],.]] => [[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[[.,.],.]]],.] => [[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[.,.],[[.,[[.,.],.]],.]],.] => [[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[[[.,.],.],.]],[.,.]] => [[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[[.,.],[[[.,.],.],[.,.]]],.] => [[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[[.,.],[[[.,.],[.,.]],.]],.] => [[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[[.,.],[[[.,[.,.]],.],.]],.] => [[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[[.,.],[[[[.,.],.],.],.]],.] => [[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[]],[],[[[[]]]]] => [[[[[]]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [[[]],[],[[[],[]]]] => [[[[],[]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [[[]],[],[[],[[]]]] => [[[[]],[]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [[[]],[],[[[]],[]]] => [[[],[[]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[[[.,.],.],.]] => [[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,[.,.]],[[[.,.],.],.]],.] => [[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [[[[]]],[],[[],[]]] => [[[],[]],[],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[[.,[.,[[[.,.],.],.]]],.],.] => [[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [[[],[]],[],[[[]]]] => [[[[]]],[],[[],[]]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],[[.,.],.]] => [[[],[]],[],[[],[]]] => [[[],[]],[],[[],[]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[[.,.],.]],[[.,.],.]],.] => [[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],[[.,.],.]]],.],.] => [[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[.,[[.,[[.,.],.]],.]],.],.] => [[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => [[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[[.,[[[.,.],.],[.,.]]],.],.] => [[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[.,[[[.,.],[.,.]],.]],.],.] => [[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[[.,[[[.,[.,.]],.],.]],.],.] => [[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[[.,[[[[.,.],.],.],.]],.],.] => [[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,[[.,.],.]]] => [[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[.,.],.],.],[[.,.],[.,.]]] => [[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,[.,.]],.]] => [[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[.,.],.],.],[[[.,.],.],.]] => [[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[[.,.],.],[.,.]],[[.,.],.]] => [[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[.,.],.],[.,[[.,.],.]]],.] => [[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[.,.],.]],[.,.]] => [[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[[[.,.],.],[[.,.],[.,.]]],.] => [[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[.,.],.],[[.,[.,.]],.]],.] => [[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[[.,.],.],[[[.,.],.],.]],.] => [[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[[.,.],[.,.]],.],[[.,.],.]] => [[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[[[.,.],[.,.]],[[.,.],.]],.] => [[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[[[.,.],[.,[[.,.],.]]],.],.] => [[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[[.,.],[[.,.],.]],.],[.,.]] => [[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[[[.,.],[[.,.],.]],[.,.]],.] => [[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[[[.,.],[[.,.],[.,.]]],.],.] => [[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[[[.,.],[[.,[.,.]],.]],.],.] => [[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[.,.],[[[.,.],.],.]],.],.] => [[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[[[.,[.,.]],.],.],[[.,.],.]] => [[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[[[.,[.,.]],.],[[.,.],.]],.] => [[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[.,[.,.]],[[.,.],.]],.],.] => [[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[[[.,[.,[[.,.],.]]],.],.],.] => [[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[[[.,[[.,.],.]],.],[.,.]],.] => [[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[.,[[.,.],.]],[.,.]],.],.] => [[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[[[.,[[.,.],[.,.]]],.],.],.] => [[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[.,[[.,[.,.]],.]],.],.],.] => [[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[[.,[[[.,.],.],.]],.],.],.] => [[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[[.,.],.],.],.],[.,[.,.]]] => [[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[[[.,.],.],.],.],[[.,.],.]] => [[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[[[.,.],.],.],[.,.]],[.,.]] => [[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[[[[.,.],.],.],[.,[.,.]]],.] => [[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[[[[.,.],.],.],[[.,.],.]],.] => [[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[[.,.],.],[.,.]],.],[.,.]] => [[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[[[.,.],.],[.,.]],[.,.]],.] => [[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[[[[.,.],.],[.,[.,.]]],.],.] => [[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[[.,.],.],[[.,.],.]],.],.] => [[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[[.,.],[.,.]],.],.],[.,.]] => [[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => [[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[[[[.,.],[.,.]],[.,.]],.],.] => [[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[[[[.,.],[.,[.,.]]],.],.],.] => [[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[[[[.,.],[[.,.],.]],.],.],.] => [[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]]]
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[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[[[[.,[.,.]],.],[.,.]],.],.] => [[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]]]
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[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,.]]],.],.],.],.] => [[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]]]
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[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[[[[.,.],.],.],.],[.,.]],.] => [[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[[[.,.],.],.],[.,.]],.],.] => [[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[[[[[.,.],.],[.,.]],.],.],.] => [[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[[[[[.,.],[.,.]],.],.],.],.] => [[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,.]],.],.],.],.],.] => [[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[[[[.,.],.],.],.],.],.],.] => [[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[]]
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[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [[[[[[[[]],[]]]]]]] => [[[[[[[],[[]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [[[[[[[],[],[]]]]]]] => [[[[[[[],[],[]]]]]]]
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[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [[[[[[],[[],[]]]]]]] => [[[[[[[],[]],[]]]]]]
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[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [[[[[[],[[]],[]]]]]] => [[[[[[],[[]],[]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [[[[[[[]],[],[]]]]]] => [[[[[[],[],[[]]]]]]]
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[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [[[[]],[],[[],[[]]]]] => [[[[[]],[]],[],[[]]]]
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[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [[[[]],[[],[]],[[]]]] => [[[[]],[[],[]],[[]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [[[[]],[[],[[]]],[]]] => [[[],[[[]],[]],[[]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[[[]],[[[]],[]],[]]] => [[[],[[],[[]]],[[]]]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [[[[]],[[],[],[]],[]]] => [[[],[[],[],[]],[[]]]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [[[[[]]],[],[[[]]]]] => [[[[[]]],[],[[[]]]]]
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[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [[[[[[]]]],[[]],[]]] => [[[],[[]],[[[[]]]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [[[[[[[]]]]],[],[]]] => [[[],[],[[[[[]]]]]]]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [[[[[[],[]]]],[],[]]] => [[[],[],[[[[],[]]]]]]
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[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [[[[[],[[]]]],[],[]]] => [[[],[],[[[[]],[]]]]]
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[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [[[[],[]],[],[[],[]]]] => [[[[],[]],[],[[],[]]]]
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[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [[[[],[[]]],[[]],[]]] => [[[],[[]],[[[]],[]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [[[[],[[[]]]],[],[]]] => [[[],[],[[[[]]],[]]]]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [[[[],[[],[]]],[],[]]] => [[[],[],[[[],[]],[]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [[[[[]],[]],[],[[]]]] => [[[[]],[],[[],[[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[[[[]],[]],[[]],[]]] => [[[],[[]],[[],[[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [[[[[]],[[]]],[],[]]] => [[[],[],[[[]],[[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [[[[[[]]],[]],[],[]]] => [[[],[],[[],[[[]]]]]]
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[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [[[[],[],[]],[[]],[]]] => [[[],[[]],[[],[],[]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [[[[],[],[[]]],[],[]]] => [[[],[],[[[]],[],[]]]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [[[[],[[]],[]],[],[]]] => [[[],[],[[],[[]],[]]]]
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[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [[[],[],[],[[],[],[]]]] => [[[[],[],[]],[],[],[]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [[[],[],[[]],[[[]]]]] => [[[[[]]],[[]],[],[]]]
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[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [[[],[],[[[[]]]],[]]] => [[[],[[[[]]]],[],[]]]
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[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [[[[]],[],[[]],[[]]]] => [[[[]],[[]],[],[[]]]]
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[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [[[[]],[],[[],[]],[]]] => [[[],[[],[]],[],[[]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [[[[]],[[]],[],[[]]]] => [[[[]],[],[[]],[[]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[[[]],[[]],[[]],[]]] => [[[],[[]],[[]],[[]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [[[[]],[[[]]],[],[]]] => [[[],[],[[[]]],[[]]]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [[[[]],[[],[]],[],[]]] => [[[],[],[[],[]],[[]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [[[[[]]],[],[],[[]]]] => [[[[]],[],[],[[[]]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [[[[[]]],[],[[]],[]]] => [[[],[[]],[],[[[]]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [[[[[]]],[[]],[],[]]] => [[[],[],[[]],[[[]]]]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [[[[[[]]]],[],[],[]]] => [[[],[],[],[[[[]]]]]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [[[[[],[]]],[],[],[]]] => [[[],[],[],[[[],[]]]]]
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[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [[[[],[]],[],[[]],[]]] => [[[],[[]],[],[[],[]]]]
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[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [[[],[],[[],[]],[],[]]] => [[[],[],[[],[]],[],[]]]
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[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [[[],[],[],[],[],[[]]]] => [[[[]],[],[],[],[],[]]]
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[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [[[],[],[],[[]],[],[]]] => [[[],[],[[]],[],[],[]]]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [[[],[],[[]],[],[],[]]] => [[[],[],[],[[]],[],[]]]
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[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [[[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [[],[[[[[[],[]]]]]]] => [[[[[[[],[]]]]]],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [[],[[[[[],[[]]]]]]] => [[[[[[[]],[]]]]],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [[],[[[[[[]],[]]]]]] => [[[[[[],[[]]]]]],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [[],[[[[[],[],[]]]]]] => [[[[[[],[],[]]]]],[]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [[],[[[[],[[[]]]]]]] => [[[[[[[]]],[]]]],[]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [[],[[[[],[[],[]]]]]] => [[[[[[],[]],[]]]],[]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [[],[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]],[]]
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[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [[],[[[[],[],[[]]]]]] => [[[[[[]],[],[]]]],[]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [[],[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]],[]]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [[],[[[[[]],[],[]]]]] => [[[[[],[],[[]]]]],[]]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [[],[[[[],[],[],[]]]]] => [[[[[],[],[],[]]]],[]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [[],[[[],[[[[]]]]]]] => [[[[[[[]]]],[]]],[]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [[],[[[],[[[],[]]]]]] => [[[[[[],[]]],[]]],[]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [[],[[[],[[],[[]]]]]] => [[[[[[]],[]],[]]],[]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [[],[[[],[[[]],[]]]]] => [[[[[],[[]]],[]]],[]]
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[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [[],[[[[]],[[[]]]]]] => [[[[[[]]],[[]]]],[]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [[],[[[[]],[[],[]]]]] => [[[[[],[]],[[]]]],[]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [[],[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]],[]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [[],[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]],[]]
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[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [[],[[[[],[]],[[]]]]] => [[[[[]],[[],[]]]],[]]
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[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [[],[[[[],[[]]]],[]]] => [[[],[[[[]],[]]]],[]]
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[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [[],[[[],[]],[[[]]]]] => [[[[[]]],[[],[]]],[]]
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[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [[],[[],[],[[[],[]]]]] => [[[[[],[]]],[],[]],[]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [[],[[],[],[[],[[]]]]] => [[[[[]],[]],[],[]],[]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [[],[[],[],[[[]],[]]]] => [[[[],[[]]],[],[]],[]]
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[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [[],[[],[[],[]],[[]]]] => [[[[]],[[],[]],[]],[]]
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[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [[],[[],[[],[],[]],[]]] => [[[],[[],[],[]],[]],[]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [[],[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]],[]]
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[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [[],[[[[[]]]],[],[]]] => [[[],[],[[[[]]]]],[]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [[],[[[[],[]]],[],[]]] => [[[],[],[[[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [[],[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]],[]]
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[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [[],[[],[],[[]],[[]]]] => [[[[]],[[]],[],[]],[]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [[],[[],[],[[[]]],[]]] => [[[],[[[]]],[],[]],[]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [[],[[],[],[[],[]],[]]] => [[[],[[],[]],[],[]],[]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [[],[[],[[]],[],[[]]]] => [[[[]],[],[[]],[]],[]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [[],[[],[[]],[[]],[]]] => [[[],[[]],[[]],[]],[]]
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[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [[],[[],[[],[]],[],[]]] => [[[],[],[[],[]],[]],[]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [[],[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]],[]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [[],[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]],[]]
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[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[[]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [[[]],[[[[[],[]]]]]] => [[[[[[],[]]]]],[[]]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [[[]],[[[[],[[]]]]]] => [[[[[[]],[]]]],[[]]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [[[]],[[[[[]],[]]]]] => [[[[[],[[]]]]],[[]]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [[[]],[[[[],[],[]]]]] => [[[[[],[],[]]]],[[]]]
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[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [[[]],[[[[]],[[]]]]] => [[[[[]],[[]]]],[[]]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [[[]],[[[[[]]],[]]]] => [[[[],[[[]]]]],[[]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [[[]],[[[[],[]],[]]]] => [[[[],[[],[]]]],[[]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [[[]],[[[],[],[[]]]]] => [[[[[]],[],[]]],[[]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [[[]],[[[],[[]],[]]]] => [[[[],[[]],[]]],[[]]]
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[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [[[]],[[[],[],[],[]]]] => [[[[],[],[],[]]],[[]]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [[[]],[[],[[[[]]]]]] => [[[[[[]]]],[]],[[]]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [[[]],[[],[[[],[]]]]] => [[[[[],[]]],[]],[[]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [[[]],[[],[[],[[]]]]] => [[[[[]],[]],[]],[[]]]
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[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [[[]],[[[[]]],[[]]]] => [[[[]],[[[]]]],[[]]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [[[]],[[[[[]]]],[]]] => [[[],[[[[]]]]],[[]]]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [[[]],[[[[],[]]],[]]] => [[[],[[[],[]]]],[[]]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [[[]],[[[],[]],[[]]]] => [[[[]],[[],[]]],[[]]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [[[]],[[[],[[]]],[]]] => [[[],[[[]],[]]],[[]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[]],[[[[]],[]],[]]] => [[[],[[],[[]]]],[[]]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [[[]],[[[],[],[]],[]]] => [[[],[[],[],[]]],[[]]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [[[]],[[],[],[[[]]]]] => [[[[[]]],[],[]],[[]]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [[[]],[[],[],[[],[]]]] => [[[[],[]],[],[]],[[]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[]],[[],[[]],[[]]]] => [[[[]],[[]],[]],[[]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [[[]],[[],[[[]]],[]]] => [[[],[[[]]],[]],[[]]]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [[[]],[[],[[],[]],[]]] => [[[],[[],[]],[]],[[]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [[[]],[[[]],[],[[]]]] => [[[[]],[],[[]]],[[]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[]],[[[]],[[]],[]]] => [[[],[[]],[[]]],[[]]]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [[[]],[[[[]]],[],[]]] => [[[],[],[[[]]]],[[]]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [[[]],[[[],[]],[],[]]] => [[[],[],[[],[]]],[[]]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [[[]],[[],[],[],[[]]]] => [[[[]],[],[],[]],[[]]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [[[]],[[],[],[[]],[]]] => [[[],[[]],[],[]],[[]]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [[[]],[[],[[]],[],[]]] => [[[],[],[[]],[]],[[]]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [[[]],[[[]],[],[],[]]] => [[[],[],[],[[]]],[[]]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [[[]],[[],[],[],[],[]]] => [[[],[],[],[],[]],[[]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [[[[]]],[[[[[]]]]]] => [[[[[[]]]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [[[[]]],[[[[],[]]]]] => [[[[[],[]]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [[[[]]],[[[],[[]]]]] => [[[[[]],[]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [[[[]]],[[[[]],[]]]] => [[[[],[[]]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [[[[]]],[[[],[],[]]]] => [[[[],[],[]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [[[[]]],[[],[[[]]]]] => [[[[[]]],[]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [[[[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [[[[]]],[[[]],[[]]]] => [[[[]],[[]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [[[[]]],[[[[]]],[]]] => [[[],[[[]]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [[[[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [[[[]]],[[],[],[[]]]] => [[[[]],[],[]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [[[[]]],[[],[[]],[]]] => [[[],[[]],[]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [[[[]]],[[[]],[],[]]] => [[[],[],[[]]],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [[[[]]],[[],[],[],[]]] => [[[],[],[],[]],[[[]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [[[[[]]]],[[[[]]]]] => [[[[[]]]],[[[[]]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [[[[[]]]],[[[],[]]]] => [[[[],[]]],[[[[]]]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [[[[[]]]],[[],[[]]]] => [[[[]],[]],[[[[]]]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [[[[[]]]],[[[]],[]]] => [[[],[[]]],[[[[]]]]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [[[[[]]]],[[],[],[]]] => [[[],[],[]],[[[[]]]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [[[[[[]]]]],[[[]]]] => [[[[]]],[[[[[]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [[[[[[]]]]],[[],[]]] => [[[],[]],[[[[[]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [[[[[[[]]]]]],[[]]] => [[[]],[[[[[[]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [[[[[[[],[]]]]]],[]] => [[],[[[[[[],[]]]]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [[[[[[],[]]]]],[[]]] => [[[]],[[[[[],[]]]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [[[[[[],[[]]]]]],[]] => [[],[[[[[[]],[]]]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [[[[[[[]],[]]]]],[]] => [[],[[[[[],[[]]]]]]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [[[[[[],[],[]]]]],[]] => [[],[[[[[],[],[]]]]]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [[[[[],[]]]],[[[]]]] => [[[[]]],[[[[],[]]]]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [[[[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]]]]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [[[[[],[[]]]]],[[]]] => [[[]],[[[[[]],[]]]]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [[[[[],[[[]]]]]],[]] => [[],[[[[[[]]],[]]]]]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [[[[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]]]]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [[[[[[]],[]]]],[[]]] => [[[]],[[[[],[[]]]]]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [[[[[[]],[[]]]]],[]] => [[],[[[[[]],[[]]]]]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [[[[[[[]]],[]]]],[]] => [[],[[[[],[[[]]]]]]]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [[[[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]]]]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [[[[[],[],[]]]],[[]]] => [[[]],[[[[],[],[]]]]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [[[[[],[],[[]]]]],[]] => [[],[[[[[]],[],[]]]]]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [[[[[],[[]],[]]]],[]] => [[],[[[[],[[]],[]]]]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [[[[[[]],[],[]]]],[]] => [[],[[[[],[],[[]]]]]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [[[[[],[],[],[]]]],[]] => [[],[[[[],[],[],[]]]]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [[[[],[]]],[[[[]]]]] => [[[[[]]]],[[[],[]]]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [[[[],[]]],[[[],[]]]] => [[[[],[]]],[[[],[]]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [[[[],[]]],[[],[[]]]] => [[[[]],[]],[[[],[]]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [[[[],[]]],[[[]],[]]] => [[[],[[]]],[[[],[]]]]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [[[[],[]]],[[],[],[]]] => [[[],[],[]],[[[],[]]]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [[[[],[[]]]],[[[]]]] => [[[[]]],[[[[]],[]]]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [[[[],[[]]]],[[],[]]] => [[[],[]],[[[[]],[]]]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [[[[],[[[]]]]],[[]]] => [[[]],[[[[[]]],[]]]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [[[[],[[[[]]]]]],[]] => [[],[[[[[[]]]],[]]]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [[[[],[[[],[]]]]],[]] => [[],[[[[[],[]]],[]]]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [[[[],[[],[]]]],[[]]] => [[[]],[[[[],[]],[]]]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [[[[],[[],[[]]]]],[]] => [[],[[[[[]],[]],[]]]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [[[[],[[[]],[]]]],[]] => [[],[[[[],[[]]],[]]]]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [[[[],[[],[],[]]]],[]] => [[],[[[[],[],[]],[]]]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [[[[[]],[]]],[[[]]]] => [[[[]]],[[[],[[]]]]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [[[[[]],[]]],[[],[]]] => [[[],[]],[[[],[[]]]]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [[[[[]],[[]]]],[[]]] => [[[]],[[[[]],[[]]]]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [[[[[]],[[[]]]]],[]] => [[],[[[[[]]],[[]]]]]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [[[[[]],[[],[]]]],[]] => [[],[[[[],[]],[[]]]]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [[[[[[]]],[]]],[[]]] => [[[]],[[[],[[[]]]]]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [[[[[[]]],[[]]]],[]] => [[],[[[[]],[[[]]]]]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [[[[[[[]]]],[]]],[]] => [[],[[[],[[[[]]]]]]]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [[[[[[],[]]],[]]],[]] => [[],[[[],[[[],[]]]]]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [[[[[],[]],[]]],[[]]] => [[[]],[[[],[[],[]]]]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [[[[[],[]],[[]]]],[]] => [[],[[[[]],[[],[]]]]]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [[[[[],[[]]],[]]],[]] => [[],[[[],[[[]],[]]]]]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [[[[[[]],[]],[]]],[]] => [[],[[[],[[],[[]]]]]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [[[[[],[],[]],[]]],[]] => [[],[[[],[[],[],[]]]]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [[[[],[],[]]],[[[]]]] => [[[[]]],[[[],[],[]]]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [[[[],[],[]]],[[],[]]] => [[[],[]],[[[],[],[]]]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [[[[],[],[[]]]],[[]]] => [[[]],[[[[]],[],[]]]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [[[[],[],[[[]]]]],[]] => [[],[[[[[]]],[],[]]]]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [[[[],[],[[],[]]]],[]] => [[],[[[[],[]],[],[]]]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [[[[],[[]],[]]],[[]]] => [[[]],[[[],[[]],[]]]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [[[[],[[]],[[]]]],[]] => [[],[[[[]],[[]],[]]]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [[[[],[[[]]],[]]],[]] => [[],[[[],[[[]]],[]]]]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [[[[],[[],[]],[]]],[]] => [[],[[[],[[],[]],[]]]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [[[[[]],[],[]]],[[]]] => [[[]],[[[],[],[[]]]]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [[[[[]],[],[[]]]],[]] => [[],[[[[]],[],[[]]]]]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [[[[[]],[[]],[]]],[]] => [[],[[[],[[]],[[]]]]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [[[[[[]]],[],[]]],[]] => [[],[[[],[],[[[]]]]]]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [[[[[],[]],[],[]]],[]] => [[],[[[],[],[[],[]]]]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [[[[],[],[],[]]],[[]]] => [[[]],[[[],[],[],[]]]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [[[[],[],[],[[]]]],[]] => [[],[[[[]],[],[],[]]]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [[[[],[],[[]],[]]],[]] => [[],[[[],[[]],[],[]]]]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [[[[],[[]],[],[]]],[]] => [[],[[[],[],[[]],[]]]]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [[[[[]],[],[],[]]],[]] => [[],[[[],[],[],[[]]]]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [[[[],[],[],[],[]]],[]] => [[],[[[],[],[],[],[]]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [[[],[]],[[[[[]]]]]] => [[[[[[]]]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [[[],[]],[[[[],[]]]]] => [[[[[],[]]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [[[],[]],[[[],[[]]]]] => [[[[[]],[]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [[[],[]],[[[[]],[]]]] => [[[[],[[]]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [[[],[]],[[[],[],[]]]] => [[[[],[],[]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [[[],[]],[[],[[[]]]]] => [[[[[]]],[]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [[[],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [[[],[]],[[[]],[[]]]] => [[[[]],[[]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [[[],[]],[[[[]]],[]]] => [[[],[[[]]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [[[],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [[[],[]],[[],[],[[]]]] => [[[[]],[],[]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [[[],[]],[[],[[]],[]]] => [[[],[[]],[]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [[[],[]],[[[]],[],[]]] => [[[],[],[[]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [[[],[]],[[],[],[],[]]] => [[[],[],[],[]],[[],[]]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [[[],[[]]],[[[[]]]]] => [[[[[]]]],[[[]],[]]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [[[],[[]]],[[[],[]]]] => [[[[],[]]],[[[]],[]]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [[[],[[]]],[[],[[]]]] => [[[[]],[]],[[[]],[]]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [[[],[[]]],[[[]],[]]] => [[[],[[]]],[[[]],[]]]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [[[],[[]]],[[],[],[]]] => [[[],[],[]],[[[]],[]]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [[[],[[[]]]],[[[]]]] => [[[[]]],[[[[]]],[]]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [[[],[[[]]]],[[],[]]] => [[[],[]],[[[[]]],[]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [[[],[[[[]]]]],[[]]] => [[[]],[[[[[]]]],[]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [[[],[[[[[]]]]]],[]] => [[],[[[[[[]]]]],[]]]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [[[],[[[[],[]]]]],[]] => [[],[[[[[],[]]]],[]]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [[[],[[[],[]]]],[[]]] => [[[]],[[[[],[]]],[]]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [[[],[[[],[[]]]]],[]] => [[],[[[[[]],[]]],[]]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [[[],[[[[]],[]]]],[]] => [[],[[[[],[[]]]],[]]]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [[[],[[[],[],[]]]],[]] => [[],[[[[],[],[]]],[]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [[[],[[],[]]],[[[]]]] => [[[[]]],[[[],[]],[]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [[[],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [[[],[[],[[]]]],[[]]] => [[[]],[[[[]],[]],[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [[[],[[],[[[]]]]],[]] => [[],[[[[[]]],[]],[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [[[],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[]]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [[[],[[[]],[]]],[[]]] => [[[]],[[[],[[]]],[]]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [[[],[[[]],[[]]]],[]] => [[],[[[[]],[[]]],[]]]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [[[],[[[[]]],[]]],[]] => [[],[[[],[[[]]]],[]]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [[[],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[]]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [[[],[[],[],[]]],[[]]] => [[[]],[[[],[],[]],[]]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [[[],[[],[],[[]]]],[]] => [[],[[[[]],[],[]],[]]]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [[[],[[],[[]],[]]],[]] => [[],[[[],[[]],[]],[]]]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [[[],[[[]],[],[]]],[]] => [[],[[[],[],[[]]],[]]]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [[[],[[],[],[],[]]],[]] => [[],[[[],[],[],[]],[]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [[[[]],[]],[[[[]]]]] => [[[[[]]]],[[],[[]]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [[[[]],[]],[[[],[]]]] => [[[[],[]]],[[],[[]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [[[[]],[]],[[],[[]]]] => [[[[]],[]],[[],[[]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[[]],[]],[[[]],[]]] => [[[],[[]]],[[],[[]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [[[[]],[]],[[],[],[]]] => [[[],[],[]],[[],[[]]]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [[[[]],[[]]],[[[]]]] => [[[[]]],[[[]],[[]]]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [[[[]],[[]]],[[],[]]] => [[[],[]],[[[]],[[]]]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [[[[]],[[[]]]],[[]]] => [[[]],[[[[]]],[[]]]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [[[[]],[[[[]]]]],[]] => [[],[[[[[]]]],[[]]]]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [[[[]],[[[],[]]]],[]] => [[],[[[[],[]]],[[]]]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [[[[]],[[],[]]],[[]]] => [[[]],[[[],[]],[[]]]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [[[[]],[[],[[]]]],[]] => [[],[[[[]],[]],[[]]]]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [[[[]],[[[]],[]]],[]] => [[],[[[],[[]]],[[]]]]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [[[[]],[[],[],[]]],[]] => [[],[[[],[],[]],[[]]]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [[[[[]]],[]],[[[]]]] => [[[[]]],[[],[[[]]]]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [[[[[]]],[]],[[],[]]] => [[[],[]],[[],[[[]]]]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [[[[[]]],[[]]],[[]]] => [[[]],[[[]],[[[]]]]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [[[[[]]],[[[]]]],[]] => [[],[[[[]]],[[[]]]]]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [[[[[]]],[[],[]]],[]] => [[],[[[],[]],[[[]]]]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [[[[[[]]]],[]],[[]]] => [[[]],[[],[[[[]]]]]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [[[[[[]]]],[[]]],[]] => [[],[[[]],[[[[]]]]]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [[[[[[[]]]]],[]],[]] => [[],[[],[[[[[]]]]]]]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [[[[[[],[]]]],[]],[]] => [[],[[],[[[[],[]]]]]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [[[[[],[]]],[]],[[]]] => [[[]],[[],[[[],[]]]]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [[[[[],[]]],[[]]],[]] => [[],[[[]],[[[],[]]]]]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [[[[[],[[]]]],[]],[]] => [[],[[],[[[[]],[]]]]]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [[[[[[]],[]]],[]],[]] => [[],[[],[[[],[[]]]]]]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [[[[[],[],[]]],[]],[]] => [[],[[],[[[],[],[]]]]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [[[[],[]],[]],[[[]]]] => [[[[]]],[[],[[],[]]]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [[[[],[]],[]],[[],[]]] => [[[],[]],[[],[[],[]]]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [[[[],[]],[[]]],[[]]] => [[[]],[[[]],[[],[]]]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [[[[],[]],[[[]]]],[]] => [[],[[[[]]],[[],[]]]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [[[[],[]],[[],[]]],[]] => [[],[[[],[]],[[],[]]]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [[[[],[[]]],[]],[[]]] => [[[]],[[],[[[]],[]]]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [[[[],[[]]],[[]]],[]] => [[],[[[]],[[[]],[]]]]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [[[[],[[[]]]],[]],[]] => [[],[[],[[[[]]],[]]]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [[[[],[[],[]]],[]],[]] => [[],[[],[[[],[]],[]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [[[[[]],[]],[]],[[]]] => [[[]],[[],[[],[[]]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [[[[[]],[]],[[]]],[]] => [[],[[[]],[[],[[]]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [[[[[]],[[]]],[]],[]] => [[],[[],[[[]],[[]]]]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [[[[[[]]],[]],[]],[]] => [[],[[],[[],[[[]]]]]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [[[[[],[]],[]],[]],[]] => [[],[[],[[],[[],[]]]]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [[[[],[],[]],[]],[[]]] => [[[]],[[],[[],[],[]]]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [[[[],[],[]],[[]]],[]] => [[],[[[]],[[],[],[]]]]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [[[[],[],[[]]],[]],[]] => [[],[[],[[[]],[],[]]]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [[[[],[[]],[]],[]],[]] => [[],[[],[[],[[]],[]]]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [[[[[]],[],[]],[]],[]] => [[],[[],[[],[],[[]]]]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [[[[],[],[],[]],[]],[]] => [[],[[],[[],[],[],[]]]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [[[],[],[]],[[[[]]]]] => [[[[[]]]],[[],[],[]]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [[[],[],[]],[[[],[]]]] => [[[[],[]]],[[],[],[]]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [[[],[],[]],[[],[[]]]] => [[[[]],[]],[[],[],[]]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [[[],[],[]],[[[]],[]]] => [[[],[[]]],[[],[],[]]]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [[[],[],[]],[[],[],[]]] => [[[],[],[]],[[],[],[]]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [[[],[],[[]]],[[[]]]] => [[[[]]],[[[]],[],[]]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [[[],[],[[]]],[[],[]]] => [[[],[]],[[[]],[],[]]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [[[],[],[[[]]]],[[]]] => [[[]],[[[[]]],[],[]]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [[[],[],[[[[]]]]],[]] => [[],[[[[[]]]],[],[]]]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [[[],[],[[[],[]]]],[]] => [[],[[[[],[]]],[],[]]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [[[],[],[[],[]]],[[]]] => [[[]],[[[],[]],[],[]]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [[[],[],[[],[[]]]],[]] => [[],[[[[]],[]],[],[]]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [[[],[],[[[]],[]]],[]] => [[],[[[],[[]]],[],[]]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [[[],[],[[],[],[]]],[]] => [[],[[[],[],[]],[],[]]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [[[],[[]],[]],[[[]]]] => [[[[]]],[[],[[]],[]]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [[[],[[]],[]],[[],[]]] => [[[],[]],[[],[[]],[]]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [[[],[[]],[[]]],[[]]] => [[[]],[[[]],[[]],[]]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [[[],[[]],[[[]]]],[]] => [[],[[[[]]],[[]],[]]]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [[[],[[]],[[],[]]],[]] => [[],[[[],[]],[[]],[]]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [[[],[[[]]],[]],[[]]] => [[[]],[[],[[[]]],[]]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [[[],[[[]]],[[]]],[]] => [[],[[[]],[[[]]],[]]]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [[[],[[[[]]]],[]],[]] => [[],[[],[[[[]]]],[]]]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [[[],[[[],[]]],[]],[]] => [[],[[],[[[],[]]],[]]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [[[],[[],[]],[]],[[]]] => [[[]],[[],[[],[]],[]]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [[[],[[],[]],[[]]],[]] => [[],[[[]],[[],[]],[]]]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [[[],[[],[[]]],[]],[]] => [[],[[],[[[]],[]],[]]]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [[[],[[[]],[]],[]],[]] => [[],[[],[[],[[]]],[]]]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [[[],[[],[],[]],[]],[]] => [[],[[],[[],[],[]],[]]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [[[[]],[],[]],[[[]]]] => [[[[]]],[[],[],[[]]]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [[[[]],[],[]],[[],[]]] => [[[],[]],[[],[],[[]]]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [[[[]],[],[[]]],[[]]] => [[[]],[[[]],[],[[]]]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [[[[]],[],[[[]]]],[]] => [[],[[[[]]],[],[[]]]]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [[[[]],[],[[],[]]],[]] => [[],[[[],[]],[],[[]]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[]],[[]],[]],[[]]] => [[[]],[[],[[]],[[]]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [[[[]],[[]],[[]]],[]] => [[],[[[]],[[]],[[]]]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [[[[]],[[[]]],[]],[]] => [[],[[],[[[]]],[[]]]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [[[[]],[[],[]],[]],[]] => [[],[[],[[],[]],[[]]]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [[[[[]]],[],[]],[[]]] => [[[]],[[],[],[[[]]]]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [[[[[]]],[],[[]]],[]] => [[],[[[]],[],[[[]]]]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [[[[[]]],[[]],[]],[]] => [[],[[],[[]],[[[]]]]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [[[[[[]]]],[],[]],[]] => [[],[[],[],[[[[]]]]]]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [[[[[],[]]],[],[]],[]] => [[],[[],[],[[[],[]]]]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [[[[],[]],[],[]],[[]]] => [[[]],[[],[],[[],[]]]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [[[[],[]],[],[[]]],[]] => [[],[[[]],[],[[],[]]]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [[[[],[]],[[]],[]],[]] => [[],[[],[[]],[[],[]]]]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [[[[],[[]]],[],[]],[]] => [[],[[],[],[[[]],[]]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [[[[[]],[]],[],[]],[]] => [[],[[],[],[[],[[]]]]]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [[[[],[],[]],[],[]],[]] => [[],[[],[],[[],[],[]]]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [[[],[],[],[]],[[[]]]] => [[[[]]],[[],[],[],[]]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [[[],[],[],[]],[[],[]]] => [[[],[]],[[],[],[],[]]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [[[],[],[],[[]]],[[]]] => [[[]],[[[]],[],[],[]]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [[[],[],[],[[[]]]],[]] => [[],[[[[]]],[],[],[]]]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [[[],[],[],[[],[]]],[]] => [[],[[[],[]],[],[],[]]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [[[],[],[[]],[]],[[]]] => [[[]],[[],[[]],[],[]]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [[[],[],[[]],[[]]],[]] => [[],[[[]],[[]],[],[]]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [[[],[],[[[]]],[]],[]] => [[],[[],[[[]]],[],[]]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [[[],[],[[],[]],[]],[]] => [[],[[],[[],[]],[],[]]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [[[],[[]],[],[]],[[]]] => [[[]],[[],[],[[]],[]]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [[[],[[]],[],[[]]],[]] => [[],[[[]],[],[[]],[]]]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [[[],[[]],[[]],[]],[]] => [[],[[],[[]],[[]],[]]]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [[[],[[[]]],[],[]],[]] => [[],[[],[],[[[]]],[]]]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [[[],[[],[]],[],[]],[]] => [[],[[],[],[[],[]],[]]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [[[[]],[],[],[]],[[]]] => [[[]],[[],[],[],[[]]]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [[[[]],[],[],[[]]],[]] => [[],[[[]],[],[],[[]]]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [[[[]],[],[[]],[]],[]] => [[],[[],[[]],[],[[]]]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [[[[]],[[]],[],[]],[]] => [[],[[],[],[[]],[[]]]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [[[[[]]],[],[],[]],[]] => [[],[[],[],[],[[[]]]]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [[[[],[]],[],[],[]],[]] => [[],[[],[],[],[[],[]]]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [[[],[],[],[],[]],[[]]] => [[[]],[[],[],[],[],[]]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [[[],[],[],[],[[]]],[]] => [[],[[[]],[],[],[],[]]]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [[[],[],[],[[]],[]],[]] => [[],[[],[[]],[],[],[]]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [[[],[],[[]],[],[]],[]] => [[],[[],[],[[]],[],[]]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [[[],[[]],[],[],[]],[]] => [[],[[],[],[],[[]],[]]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [[[[]],[],[],[],[]],[]] => [[],[[],[],[],[],[[]]]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [[[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [[],[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [[],[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[],[]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [[],[],[[[[],[[]]]]]] => [[[[[[]],[]]]],[],[]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [[],[],[[[[[]],[]]]]] => [[[[[],[[]]]]],[],[]]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [[],[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[],[]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [[],[],[[[],[[[]]]]]] => [[[[[[]]],[]]],[],[]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [[],[],[[[],[[],[]]]]] => [[[[[],[]],[]]],[],[]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [[],[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[],[]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [[],[],[[[[[]]],[]]]] => [[[[],[[[]]]]],[],[]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [[],[],[[[[],[]],[]]]] => [[[[],[[],[]]]],[],[]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [[],[],[[[],[],[[]]]]] => [[[[[]],[],[]]],[],[]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [[],[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[],[]]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [[],[],[[[[]],[],[]]]] => [[[[],[],[[]]]],[],[]]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [[],[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[],[]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [[],[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[],[]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [[],[],[[],[[[],[]]]]] => [[[[[],[]]],[]],[],[]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [[],[],[[],[[],[[]]]]] => [[[[[]],[]],[]],[],[]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [[],[],[[],[[[]],[]]]] => [[[[],[[]]],[]],[],[]]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [[],[],[[],[[],[],[]]]] => [[[[],[],[]],[]],[],[]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [[],[],[[[]],[[[]]]]] => [[[[[]]],[[]]],[],[]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [[],[],[[[]],[[],[]]]] => [[[[],[]],[[]]],[],[]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [[],[],[[[[]]],[[]]]] => [[[[]],[[[]]]],[],[]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [[],[],[[[[[]]]],[]]] => [[[],[[[[]]]]],[],[]]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [[],[],[[[[],[]]],[]]] => [[[],[[[],[]]]],[],[]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [[],[],[[[],[]],[[]]]] => [[[[]],[[],[]]],[],[]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [[],[],[[[],[[]]],[]]] => [[[],[[[]],[]]],[],[]]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [[],[],[[[[]],[]],[]]] => [[[],[[],[[]]]],[],[]]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [[],[],[[[],[],[]],[]]] => [[[],[[],[],[]]],[],[]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [[],[],[[],[],[[[]]]]] => [[[[[]]],[],[]],[],[]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [[],[],[[],[],[[],[]]]] => [[[[],[]],[],[]],[],[]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [[],[],[[],[[]],[[]]]] => [[[[]],[[]],[]],[],[]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [[],[],[[],[[[]]],[]]] => [[[],[[[]]],[]],[],[]]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [[],[],[[],[[],[]],[]]] => [[[],[[],[]],[]],[],[]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [[],[],[[[]],[],[[]]]] => [[[[]],[],[[]]],[],[]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [[],[],[[[]],[[]],[]]] => [[[],[[]],[[]]],[],[]]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [[],[],[[[[]]],[],[]]] => [[[],[],[[[]]]],[],[]]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [[[.,.],.],[[[.,[[.,.],.]],.],.]] => [[],[],[[[],[]],[],[]]] => [[[],[],[[],[]]],[],[]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [[],[],[[],[],[],[[]]]] => [[[[]],[],[],[]],[],[]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[[[.,.],.],[.,.]],.]] => [[],[],[[],[],[[]],[]]] => [[[],[[]],[],[]],[],[]]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [[[.,.],.],[[[[.,.],[.,.]],.],.]] => [[],[],[[],[[]],[],[]]] => [[[],[],[[]],[]],[],[]]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [[],[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[],[]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [[],[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[],[]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [[],[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [[],[[]],[[[[],[]]]]] => [[[[[],[]]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [[],[[]],[[[],[[]]]]] => [[[[[]],[]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [[],[[]],[[[[]],[]]]] => [[[[],[[]]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [[],[[]],[[[],[],[]]]] => [[[[],[],[]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [[],[[]],[[],[[[]]]]] => [[[[[]]],[]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [[],[[]],[[],[[],[]]]] => [[[[],[]],[]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [[],[[]],[[[]],[[]]]] => [[[[]],[[]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [[],[[]],[[[[]]],[]]] => [[[],[[[]]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [[],[[]],[[[],[]],[]]] => [[[],[[],[]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [[],[[]],[[],[],[[]]]] => [[[[]],[],[]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [[],[[]],[[],[[]],[]]] => [[[],[[]],[]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [[],[[]],[[[]],[],[]]] => [[[],[],[[]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [[],[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]],[]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [[],[[[]]],[[[[]]]]] => [[[[[]]]],[[[]]],[]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [[],[[[]]],[[[],[]]]] => [[[[],[]]],[[[]]],[]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [[],[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]],[]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [[],[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]],[]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [[],[[[]]],[[],[],[]]] => [[[],[],[]],[[[]]],[]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [[],[[[[]]]],[[[]]]] => [[[[]]],[[[[]]]],[]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [[],[[[[]]]],[[],[]]] => [[[],[]],[[[[]]]],[]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [[],[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]],[]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [[],[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]],[]]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [[],[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]],[]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [[],[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]],[]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [[],[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]],[]]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [[],[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]],[]]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [[],[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]],[]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [[],[[[],[]]],[[[]]]] => [[[[]]],[[[],[]]],[]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [[],[[[],[]]],[[],[]]] => [[[],[]],[[[],[]]],[]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [[],[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]],[]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [[],[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]],[]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [[],[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]],[]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [[],[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]],[]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [[],[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]],[]]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [[],[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]],[]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [[],[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]],[]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [[],[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]],[]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [[],[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]],[]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [[],[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]],[]]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [[],[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]],[]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] => [[],[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]],[]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [[],[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]],[]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [[],[[],[]],[[[],[]]]] => [[[[],[]]],[[],[]],[]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [[],[[],[]],[[],[[]]]] => [[[[]],[]],[[],[]],[]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [[],[[],[]],[[[]],[]]] => [[[],[[]]],[[],[]],[]]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [[],[[],[]],[[],[],[]]] => [[[],[],[]],[[],[]],[]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [[],[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [[],[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [[],[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [[],[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [[],[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [[],[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [[],[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [[],[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [[],[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]],[]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [[],[[[]],[]],[[[]]]] => [[[[]]],[[],[[]]],[]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [[],[[[]],[]],[[],[]]] => [[[],[]],[[],[[]]],[]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [[],[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]],[]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [[],[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]],[]]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [[],[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]],[]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [[],[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]],[]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [[],[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]],[]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [[],[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]],[]]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [[],[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]],[]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [[],[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]],[]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [[],[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]],[]]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [[],[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]],[]]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [[],[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]],[]]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [[],[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]],[]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [[],[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]],[]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [[],[[],[],[]],[[],[]]] => [[[],[]],[[],[],[]],[]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [[],[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]],[]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [[],[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]],[]]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [[],[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]],[]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [[],[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]],[]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [[],[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]],[]]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [[],[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]],[]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [[],[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]],[]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [[],[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]],[]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [[],[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]],[]]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [[],[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]],[]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [[],[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]],[]]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [[],[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]],[]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [[],[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]],[]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [[],[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]],[]]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [[],[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]],[]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [[],[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]],[]]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] => [[],[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]],[]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [[],[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]],[]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [[[]],[],[[[[[]]]]]] => [[[[[[]]]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [[[]],[],[[[[],[]]]]] => [[[[[],[]]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [[[]],[],[[[],[[]]]]] => [[[[[]],[]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [[[]],[],[[[[]],[]]]] => [[[[],[[]]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [[[]],[],[[[],[],[]]]] => [[[[],[],[]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [[[]],[],[[],[[[]]]]] => [[[[[]]],[]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [[[]],[],[[],[[],[]]]] => [[[[],[]],[]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [[[]],[],[[[]],[[]]]] => [[[[]],[[]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [[[]],[],[[[[]]],[]]] => [[[],[[[]]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [[[]],[],[[[],[]],[]]] => [[[],[[],[]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [[[]],[],[[],[],[[]]]] => [[[[]],[],[]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [[[]],[],[[],[[]],[]]] => [[[],[[]],[]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [[[]],[],[[[]],[],[]]] => [[[],[],[[]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [[[]],[],[[],[],[],[]]] => [[[],[],[],[]],[],[[]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [[[]],[[]],[[[[]]]]] => [[[[[]]]],[[]],[[]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [[[]],[[]],[[[],[]]]] => [[[[],[]]],[[]],[[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [[[]],[[]],[[],[[]]]] => [[[[]],[]],[[]],[[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [[[]],[[]],[[[]],[]]] => [[[],[[]]],[[]],[[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [[[]],[[]],[[],[],[]]] => [[[],[],[]],[[]],[[]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [[[]],[[[]]],[[[]]]] => [[[[]]],[[[]]],[[]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [[[]],[[[]]],[[],[]]] => [[[],[]],[[[]]],[[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [[[]],[[[[]]]],[[]]] => [[[]],[[[[]]]],[[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [[[]],[[[[[]]]]],[]] => [[],[[[[[]]]]],[[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [[[]],[[[[],[]]]],[]] => [[],[[[[],[]]]],[[]]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [[[]],[[[],[]]],[[]]] => [[[]],[[[],[]]],[[]]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [[[]],[[[],[[]]]],[]] => [[],[[[[]],[]]],[[]]]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [[[]],[[[[]],[]]],[]] => [[],[[[],[[]]]],[[]]]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [[[]],[[[],[],[]]],[]] => [[],[[[],[],[]]],[[]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [[[]],[[],[]],[[[]]]] => [[[[]]],[[],[]],[[]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [[[]],[[],[]],[[],[]]] => [[[],[]],[[],[]],[[]]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[[]],[[],[[]]],[[]]] => [[[]],[[[]],[]],[[]]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [[[]],[[],[[[]]]],[]] => [[],[[[[]]],[]],[[]]]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [[[]],[[],[[],[]]],[]] => [[],[[[],[]],[]],[[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[[]],[[[]],[]],[[]]] => [[[]],[[],[[]]],[[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [[[]],[[[]],[[]]],[]] => [[],[[[]],[[]]],[[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [[[]],[[[[]]],[]],[]] => [[],[[],[[[]]]],[[]]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [[[]],[[[],[]],[]],[]] => [[],[[],[[],[]]],[[]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [[[]],[[],[],[]],[[]]] => [[[]],[[],[],[]],[[]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [[[]],[[],[],[[]]],[]] => [[],[[[]],[],[]],[[]]]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [[[]],[[],[[]],[]],[]] => [[],[[],[[]],[]],[[]]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [[[]],[[[]],[],[]],[]] => [[],[[],[],[[]]],[[]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [[[]],[[],[],[],[]],[]] => [[],[[],[],[],[]],[[]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [[[[]]],[],[[[[]]]]] => [[[[[]]]],[],[[[]]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [[[[]]],[],[[[],[]]]] => [[[[],[]]],[],[[[]]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [[[[]]],[],[[],[[]]]] => [[[[]],[]],[],[[[]]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [[[[]]],[],[[[]],[]]] => [[[],[[]]],[],[[[]]]]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [[[[]]],[],[[],[],[]]] => [[[],[],[]],[],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [[[[]]],[[]],[[[]]]] => [[[[]]],[[]],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [[[[]]],[[]],[[],[]]] => [[[],[]],[[]],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [[[[]]],[[[]]],[[]]] => [[[]],[[[]]],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [[[[]]],[[[[]]]],[]] => [[],[[[[]]]],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [[[[]]],[[[],[]]],[]] => [[],[[[],[]]],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [[[[]]],[[],[]],[[]]] => [[[]],[[],[]],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [[[[]]],[[],[[]]],[]] => [[],[[[]],[]],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [[[[]]],[[[]],[]],[]] => [[],[[],[[]]],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [[[[]]],[[],[],[]],[]] => [[],[[],[],[]],[[[]]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [[[[[]]]],[],[[[]]]] => [[[[]]],[],[[[[]]]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [[[[[]]]],[],[[],[]]] => [[[],[]],[],[[[[]]]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [[[[[]]]],[[]],[[]]] => [[[]],[[]],[[[[]]]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [[[[[]]]],[[[]]],[]] => [[],[[[]]],[[[[]]]]]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [[[[[]]]],[[],[]],[]] => [[],[[],[]],[[[[]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [[[[[[]]]]],[],[[]]] => [[[]],[],[[[[[]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [[[[[[]]]]],[[]],[]] => [[],[[]],[[[[[]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [[[[[[[]]]]]],[],[]] => [[],[],[[[[[[]]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [[[[[[],[]]]]],[],[]] => [[],[],[[[[[],[]]]]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [[[[[],[]]]],[],[[]]] => [[[]],[],[[[[],[]]]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [[[[[],[]]]],[[]],[]] => [[],[[]],[[[[],[]]]]]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [[[[[],[[]]]]],[],[]] => [[],[],[[[[[]],[]]]]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [[[[[[]],[]]]],[],[]] => [[],[],[[[[],[[]]]]]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [[[[[],[],[]]]],[],[]] => [[],[],[[[[],[],[]]]]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [[[[],[]]],[],[[[]]]] => [[[[]]],[],[[[],[]]]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [[[[],[]]],[],[[],[]]] => [[[],[]],[],[[[],[]]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [[[[],[]]],[[]],[[]]] => [[[]],[[]],[[[],[]]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [[[[],[]]],[[[]]],[]] => [[],[[[]]],[[[],[]]]]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [[[[],[]]],[[],[]],[]] => [[],[[],[]],[[[],[]]]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [[[[],[[]]]],[],[[]]] => [[[]],[],[[[[]],[]]]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [[[[],[[]]]],[[]],[]] => [[],[[]],[[[[]],[]]]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [[[[],[[[]]]]],[],[]] => [[],[],[[[[[]]],[]]]]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [[[[],[[],[]]]],[],[]] => [[],[],[[[[],[]],[]]]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [[[[[]],[]]],[],[[]]] => [[[]],[],[[[],[[]]]]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [[[[[]],[]]],[[]],[]] => [[],[[]],[[[],[[]]]]]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [[[[[]],[[]]]],[],[]] => [[],[],[[[[]],[[]]]]]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [[[[[[]]],[]]],[],[]] => [[],[],[[[],[[[]]]]]]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [[[[[],[]],[]]],[],[]] => [[],[],[[[],[[],[]]]]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [[[[],[],[]]],[],[[]]] => [[[]],[],[[[],[],[]]]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [[[[],[],[]]],[[]],[]] => [[],[[]],[[[],[],[]]]]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [[[[],[],[[]]]],[],[]] => [[],[],[[[[]],[],[]]]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [[[[],[[]],[]]],[],[]] => [[],[],[[[],[[]],[]]]]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [[[[[]],[],[]]],[],[]] => [[],[],[[[],[],[[]]]]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [[[[],[],[],[]]],[],[]] => [[],[],[[[],[],[],[]]]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [[[],[]],[],[[[[]]]]] => [[[[[]]]],[],[[],[]]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [[[],[]],[],[[[],[]]]] => [[[[],[]]],[],[[],[]]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [[[],[]],[],[[],[[]]]] => [[[[]],[]],[],[[],[]]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [[[],[]],[],[[[]],[]]] => [[[],[[]]],[],[[],[]]]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [[[],[]],[],[[],[],[]]] => [[[],[],[]],[],[[],[]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [[[],[]],[[]],[[[]]]] => [[[[]]],[[]],[[],[]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [[[],[]],[[]],[[],[]]] => [[[],[]],[[]],[[],[]]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [[[],[]],[[[]]],[[]]] => [[[]],[[[]]],[[],[]]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [[[],[]],[[[[]]]],[]] => [[],[[[[]]]],[[],[]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [[[],[]],[[[],[]]],[]] => [[],[[[],[]]],[[],[]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [[[],[]],[[],[]],[[]]] => [[[]],[[],[]],[[],[]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [[[],[]],[[],[[]]],[]] => [[],[[[]],[]],[[],[]]]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [[[],[]],[[[]],[]],[]] => [[],[[],[[]]],[[],[]]]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [[[],[]],[[],[],[]],[]] => [[],[[],[],[]],[[],[]]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [[[],[[]]],[],[[[]]]] => [[[[]]],[],[[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [[[],[[]]],[],[[],[]]] => [[[],[]],[],[[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [[[],[[]]],[[]],[[]]] => [[[]],[[]],[[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [[[],[[]]],[[[]]],[]] => [[],[[[]]],[[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [[[],[[]]],[[],[]],[]] => [[],[[],[]],[[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [[[],[[[]]]],[],[[]]] => [[[]],[],[[[[]]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [[[],[[[]]]],[[]],[]] => [[],[[]],[[[[]]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [[[],[[[[]]]]],[],[]] => [[],[],[[[[[]]]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [[[],[[[],[]]]],[],[]] => [[],[],[[[[],[]]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [[[],[[],[]]],[],[[]]] => [[[]],[],[[[],[]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [[[],[[],[]]],[[]],[]] => [[],[[]],[[[],[]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [[[],[[],[[]]]],[],[]] => [[],[],[[[[]],[]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [[[],[[[]],[]]],[],[]] => [[],[],[[[],[[]]],[]]]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [[[],[[],[],[]]],[],[]] => [[],[],[[[],[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [[[[]],[]],[],[[[]]]] => [[[[]]],[],[[],[[]]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [[[[]],[]],[],[[],[]]] => [[[],[]],[],[[],[[]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [[[[]],[]],[[]],[[]]] => [[[]],[[]],[[],[[]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [[[[]],[]],[[[]]],[]] => [[],[[[]]],[[],[[]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [[[[]],[]],[[],[]],[]] => [[],[[],[]],[[],[[]]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [[[[]],[[]]],[],[[]]] => [[[]],[],[[[]],[[]]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [[[[]],[[]]],[[]],[]] => [[],[[]],[[[]],[[]]]]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [[[[]],[[[]]]],[],[]] => [[],[],[[[[]]],[[]]]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [[[[]],[[],[]]],[],[]] => [[],[],[[[],[]],[[]]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [[[[[]]],[]],[],[[]]] => [[[]],[],[[],[[[]]]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [[[[[]]],[]],[[]],[]] => [[],[[]],[[],[[[]]]]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [[[[[]]],[[]]],[],[]] => [[],[],[[[]],[[[]]]]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [[[[[[]]]],[]],[],[]] => [[],[],[[],[[[[]]]]]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [[[[[],[]]],[]],[],[]] => [[],[],[[],[[[],[]]]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [[[[],[]],[]],[],[[]]] => [[[]],[],[[],[[],[]]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [[[[],[]],[]],[[]],[]] => [[],[[]],[[],[[],[]]]]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [[[[],[]],[[]]],[],[]] => [[],[],[[[]],[[],[]]]]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [[[[],[[]]],[]],[],[]] => [[],[],[[],[[[]],[]]]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [[[[[]],[]],[]],[],[]] => [[],[],[[],[[],[[]]]]]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [[[[],[],[]],[]],[],[]] => [[],[],[[],[[],[],[]]]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [[[],[],[]],[],[[[]]]] => [[[[]]],[],[[],[],[]]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [[[],[],[]],[],[[],[]]] => [[[],[]],[],[[],[],[]]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [[[],[],[]],[[]],[[]]] => [[[]],[[]],[[],[],[]]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [[[],[],[]],[[[]]],[]] => [[],[[[]]],[[],[],[]]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [[[],[],[]],[[],[]],[]] => [[],[[],[]],[[],[],[]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [[[],[],[[]]],[],[[]]] => [[[]],[],[[[]],[],[]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [[[],[],[[]]],[[]],[]] => [[],[[]],[[[]],[],[]]]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [[[],[],[[[]]]],[],[]] => [[],[],[[[[]]],[],[]]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [[[],[],[[],[]]],[],[]] => [[],[],[[[],[]],[],[]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [[[],[[]],[]],[],[[]]] => [[[]],[],[[],[[]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [[[],[[]],[]],[[]],[]] => [[],[[]],[[],[[]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [[[],[[]],[[]]],[],[]] => [[],[],[[[]],[[]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [[[],[[[]]],[]],[],[]] => [[],[],[[],[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [[[.,[[[.,.],[[.,.],.]],.]],.],.] => [[[],[[],[]],[]],[],[]] => [[],[],[[],[[],[]],[]]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [[[[]],[],[]],[],[[]]] => [[[]],[],[[],[],[[]]]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [[[[]],[],[]],[[]],[]] => [[],[[]],[[],[],[[]]]]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [[[[]],[],[[]]],[],[]] => [[],[],[[[]],[],[[]]]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [[[[]],[[]],[]],[],[]] => [[],[],[[],[[]],[[]]]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [[[[[]]],[],[]],[],[]] => [[],[],[[],[],[[[]]]]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [[[[],[]],[],[]],[],[]] => [[],[],[[],[],[[],[]]]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [[[],[],[],[]],[],[[]]] => [[[]],[],[[],[],[],[]]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [[[],[],[],[]],[[]],[]] => [[],[[]],[[],[],[],[]]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [[[],[],[],[[]]],[],[]] => [[],[],[[[]],[],[],[]]]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [[[],[],[[]],[]],[],[]] => [[],[],[[],[[]],[],[]]]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [[[],[[]],[],[]],[],[]] => [[],[],[[],[],[[]],[]]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [[[[]],[],[],[]],[],[]] => [[],[],[[],[],[],[[]]]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [[[],[],[],[],[]],[],[]] => [[],[],[[],[],[],[],[]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [[],[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [[],[],[],[[[[],[]]]]] => [[[[[],[]]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [[],[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [[],[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [[],[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [[],[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [[],[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [[],[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [[],[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [[],[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [[],[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [[],[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [[],[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [[],[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[],[]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [[],[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[],[]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [[],[],[[]],[[[],[]]]] => [[[[],[]]],[[]],[],[]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [[],[],[[]],[[],[[]]]] => [[[[]],[]],[[]],[],[]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [[],[],[[]],[[[]],[]]] => [[[],[[]]],[[]],[],[]]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [[],[],[[]],[[],[],[]]] => [[[],[],[]],[[]],[],[]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [[],[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[],[]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [[],[],[[[]]],[[],[]]] => [[[],[]],[[[]]],[],[]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [[],[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[],[]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [[],[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[],[]]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [[],[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[],[]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [[],[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[],[]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [[],[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[],[]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [[],[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[],[]]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [[],[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[],[]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [[],[],[[],[]],[[[]]]] => [[[[]]],[[],[]],[],[]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [[],[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[],[]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [[],[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[],[]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [[],[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[],[]]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [[],[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[],[]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [[],[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[],[]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [[],[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[],[]]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [[],[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[],[]]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [[],[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[],[]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [[],[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[],[]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [[],[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[],[]]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [[],[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[],[]]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [[],[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[],[]]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [[],[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[],[]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [[],[[]],[],[[[[]]]]] => [[[[[]]]],[],[[]],[]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [[],[[]],[],[[[],[]]]] => [[[[],[]]],[],[[]],[]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [[],[[]],[],[[],[[]]]] => [[[[]],[]],[],[[]],[]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [[],[[]],[],[[[]],[]]] => [[[],[[]]],[],[[]],[]]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [[],[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [[],[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [[],[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [[],[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [[],[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [[],[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [[],[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [[],[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [[],[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [[],[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]],[]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [[],[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]],[]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [[],[[[]]],[],[[],[]]] => [[[],[]],[],[[[]]],[]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [[],[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]],[]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [[],[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]],[]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [[],[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]],[]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [[],[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]],[]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [[],[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]],[]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [[],[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]],[]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [[],[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]],[]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [[],[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]],[]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [[],[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]],[]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [[],[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]],[]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [[],[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]],[]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [[],[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]],[]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [[],[[],[]],[],[[[]]]] => [[[[]]],[],[[],[]],[]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [[],[[],[]],[],[[],[]]] => [[[],[]],[],[[],[]],[]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [[],[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]],[]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [[],[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]],[]]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [[],[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]],[]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [[],[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]],[]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [[],[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]],[]]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [[],[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]],[]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [[],[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]],[]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [[],[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]],[]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [[],[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]],[]]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [[],[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]],[]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [[],[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]],[]]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [[],[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]],[]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [[],[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]],[]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [[],[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]],[]]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [[],[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]],[]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [[],[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]],[]]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [[],[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]],[]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [[],[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]],[]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [[[]],[],[],[[[[]]]]] => [[[[[]]]],[],[],[[]]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [[[]],[],[],[[[],[]]]] => [[[[],[]]],[],[],[[]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [[[]],[],[],[[],[[]]]] => [[[[]],[]],[],[],[[]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [[[]],[],[],[[[]],[]]] => [[[],[[]]],[],[],[[]]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [[[]],[],[],[[],[],[]]] => [[[],[],[]],[],[],[[]]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [[[]],[],[[]],[[[]]]] => [[[[]]],[[]],[],[[]]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [[[]],[],[[]],[[],[]]] => [[[],[]],[[]],[],[[]]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [[[]],[],[[[]]],[[]]] => [[[]],[[[]]],[],[[]]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [[[]],[],[[[[]]]],[]] => [[],[[[[]]]],[],[[]]]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [[[]],[],[[[],[]]],[]] => [[],[[[],[]]],[],[[]]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [[[]],[],[[],[]],[[]]] => [[[]],[[],[]],[],[[]]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [[[]],[],[[],[[]]],[]] => [[],[[[]],[]],[],[[]]]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [[[]],[],[[[]],[]],[]] => [[],[[],[[]]],[],[[]]]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[[.,[.,.]],.],[[[.,.],.],.]],.] => [[[]],[],[[],[],[]],[]] => [[],[[],[],[]],[],[[]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [[[]],[[]],[],[[[]]]] => [[[[]]],[],[[]],[[]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [[[]],[[]],[],[[],[]]] => [[[],[]],[],[[]],[[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [[[]],[[]],[[[]]],[]] => [[],[[[]]],[[]],[[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [[[]],[[]],[[],[]],[]] => [[],[[],[]],[[]],[[]]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [[[]],[[[]]],[],[[]]] => [[[]],[],[[[]]],[[]]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [[[]],[[[]]],[[]],[]] => [[],[[]],[[[]]],[[]]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [[[]],[[[[]]]],[],[]] => [[],[],[[[[]]]],[[]]]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [[[]],[[[],[]]],[],[]] => [[],[],[[[],[]]],[[]]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [[[]],[[],[]],[],[[]]] => [[[]],[],[[],[]],[[]]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [[[]],[[],[]],[[]],[]] => [[],[[]],[[],[]],[[]]]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [[[]],[[],[[]]],[],[]] => [[],[],[[[]],[]],[[]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [[[]],[[[]],[]],[],[]] => [[],[],[[],[[]]],[[]]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [[[]],[[],[],[]],[],[]] => [[],[],[[],[],[]],[[]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [[[[]]],[],[],[[[]]]] => [[[[]]],[],[],[[[]]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [[[[]]],[],[],[[],[]]] => [[[],[]],[],[],[[[]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [[[[]]],[],[[]],[[]]] => [[[]],[[]],[],[[[]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [[[[]]],[],[[[]]],[]] => [[],[[[]]],[],[[[]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [[[[]]],[],[[],[]],[]] => [[],[[],[]],[],[[[]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [[[[]]],[[]],[],[[]]] => [[[]],[],[[]],[[[]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [[[[]]],[[]],[[]],[]] => [[],[[]],[[]],[[[]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [[[[]]],[[[]]],[],[]] => [[],[],[[[]]],[[[]]]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [[[[]]],[[],[]],[],[]] => [[],[],[[],[]],[[[]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [[[[[]]]],[],[],[[]]] => [[[]],[],[],[[[[]]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [[[[[]]]],[],[[]],[]] => [[],[[]],[],[[[[]]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [[[[[]]]],[[]],[],[]] => [[],[],[[]],[[[[]]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [[[[[[]]]]],[],[],[]] => [[],[],[],[[[[[]]]]]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [[[[[],[]]]],[],[],[]] => [[],[],[],[[[[],[]]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [[[[],[]]],[],[],[[]]] => [[[]],[],[],[[[],[]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [[[[],[]]],[],[[]],[]] => [[],[[]],[],[[[],[]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [[[[],[]]],[[]],[],[]] => [[],[],[[]],[[[],[]]]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [[[[],[[]]]],[],[],[]] => [[],[],[],[[[[]],[]]]]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [[[[[]],[]]],[],[],[]] => [[],[],[],[[[],[[]]]]]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [[[[],[],[]]],[],[],[]] => [[],[],[],[[[],[],[]]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [[[],[]],[],[],[[[]]]] => [[[[]]],[],[],[[],[]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [[[],[]],[],[],[[],[]]] => [[[],[]],[],[],[[],[]]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [[[],[]],[],[[]],[[]]] => [[[]],[[]],[],[[],[]]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [[[],[]],[],[[[]]],[]] => [[],[[[]]],[],[[],[]]]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [[[],[]],[],[[],[]],[]] => [[],[[],[]],[],[[],[]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [[[],[]],[[]],[],[[]]] => [[[]],[],[[]],[[],[]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [[[],[]],[[]],[[]],[]] => [[],[[]],[[]],[[],[]]]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [[[],[]],[[[]]],[],[]] => [[],[],[[[]]],[[],[]]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [[[],[]],[[],[]],[],[]] => [[],[],[[],[]],[[],[]]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [[[],[[]]],[],[],[[]]] => [[[]],[],[],[[[]],[]]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [[[],[[]]],[],[[]],[]] => [[],[[]],[],[[[]],[]]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [[[],[[]]],[[]],[],[]] => [[],[],[[]],[[[]],[]]]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [[[],[[[]]]],[],[],[]] => [[],[],[],[[[[]]],[]]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [[[],[[],[]]],[],[],[]] => [[],[],[],[[[],[]],[]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [[[[]],[]],[],[],[[]]] => [[[]],[],[],[[],[[]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [[[[]],[]],[],[[]],[]] => [[],[[]],[],[[],[[]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [[[[]],[]],[[]],[],[]] => [[],[],[[]],[[],[[]]]]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [[[[]],[[]]],[],[],[]] => [[],[],[],[[[]],[[]]]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [[[[[]]],[]],[],[],[]] => [[],[],[],[[],[[[]]]]]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [[[[],[]],[]],[],[],[]] => [[],[],[],[[],[[],[]]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [[[],[],[]],[],[],[[]]] => [[[]],[],[],[[],[],[]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [[[],[],[]],[],[[]],[]] => [[],[[]],[],[[],[],[]]]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [[[],[],[]],[[]],[],[]] => [[],[],[[]],[[],[],[]]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [[[],[],[[]]],[],[],[]] => [[],[],[],[[[]],[],[]]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [[[],[[]],[]],[],[],[]] => [[],[],[],[[],[[]],[]]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [[[[]],[],[]],[],[],[]] => [[],[],[],[[],[],[[]]]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [[[],[],[],[]],[],[],[]] => [[],[],[],[[],[],[],[]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [[],[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [[],[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [[],[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [[],[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [[],[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [[],[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [[],[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [[],[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [[],[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [[],[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [[],[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [[],[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [[],[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [[],[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[],[]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [[],[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[],[]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [[],[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[],[]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [[],[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[],[]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [[],[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[],[]]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [[],[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[],[]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [[],[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[],[]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [[],[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[],[]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [[],[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[],[]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [[],[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[],[]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [[],[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[],[]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [[],[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[],[]]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [[],[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[],[]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[[[[.,.],.],[[.,[.,.]],.]],.],.] => [[],[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[],[]]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [[],[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[],[]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [[],[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]],[]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [[],[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]],[]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [[],[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]],[]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [[],[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]],[]]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [[],[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]],[]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [[],[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]],[]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [[],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[]]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [[],[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]],[]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [[],[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]],[]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [[],[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]],[]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [[],[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]],[]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [[],[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]],[]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [[],[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]],[]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [[],[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]],[]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [[],[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]],[]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [[],[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]],[]]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [[],[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]],[]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [[],[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]],[]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[[[.,.],[[.,[.,.]],.]],.],.],.] => [[],[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]],[]]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [[],[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]],[]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [[[]],[],[],[],[[[]]]] => [[[[]]],[],[],[],[[]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [[[]],[],[],[],[[],[]]] => [[[],[]],[],[],[],[[]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [[[]],[],[],[[]],[[]]] => [[[]],[[]],[],[],[[]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [[[]],[],[],[[[]]],[]] => [[],[[[]]],[],[],[[]]]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [[[]],[],[],[[],[]],[]] => [[],[[],[]],[],[],[[]]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [[[]],[],[[]],[],[[]]] => [[[]],[],[[]],[],[[]]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [[[]],[],[[]],[[]],[]] => [[],[[]],[[]],[],[[]]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [[[]],[],[[[]]],[],[]] => [[],[],[[[]]],[],[[]]]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [[[[[.,[.,.]],.],[[.,.],.]],.],.] => [[[]],[],[[],[]],[],[]] => [[],[],[[],[]],[],[[]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [[[]],[[]],[],[],[[]]] => [[[]],[],[],[[]],[[]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [[[]],[[]],[],[[]],[]] => [[],[[]],[],[[]],[[]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [[[]],[[]],[[]],[],[]] => [[],[],[[]],[[]],[[]]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [[[]],[[[]]],[],[],[]] => [[],[],[],[[[]]],[[]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [[[]],[[],[]],[],[],[]] => [[],[],[],[[],[]],[[]]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [[[[]]],[],[],[],[[]]] => [[[]],[],[],[],[[[]]]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [[[[]]],[],[],[[]],[]] => [[],[[]],[],[],[[[]]]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [[[[]]],[],[[]],[],[]] => [[],[],[[]],[],[[[]]]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [[[[]]],[[]],[],[],[]] => [[],[],[],[[]],[[[]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [[[[[]]]],[],[],[],[]] => [[],[],[],[],[[[[]]]]]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [[[[],[]]],[],[],[],[]] => [[],[],[],[],[[[],[]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [[[],[]],[],[],[],[[]]] => [[[]],[],[],[],[[],[]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [[[],[]],[],[],[[]],[]] => [[],[[]],[],[],[[],[]]]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [[[],[]],[],[[]],[],[]] => [[],[],[[]],[],[[],[]]]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [[[],[]],[[]],[],[],[]] => [[],[],[],[[]],[[],[]]]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [[[],[[]]],[],[],[],[]] => [[],[],[],[],[[[]],[]]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [[[[]],[]],[],[],[],[]] => [[],[],[],[],[[],[[]]]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [[[],[],[]],[],[],[],[]] => [[],[],[],[],[[],[],[]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [[],[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [[],[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [[],[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [[],[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [[],[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [[],[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[],[]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [[],[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[],[]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [[],[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[],[]]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [[],[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[],[]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [[],[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[],[]]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [[],[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[],[]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [[],[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]],[]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [[],[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]],[]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [[],[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]],[]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [[],[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]],[]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [[],[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]],[]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [[],[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]],[]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[[]],[],[],[],[],[[]]] => [[[]],[],[],[],[],[[]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [[[]],[],[],[],[[]],[]] => [[],[[]],[],[],[],[[]]]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [[[]],[],[],[[]],[],[]] => [[],[],[[]],[],[],[[]]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [[[]],[],[[]],[],[],[]] => [[],[],[],[[]],[],[[]]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [[[]],[[]],[],[],[],[]] => [[],[],[],[],[[]],[[]]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [[[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]]]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [[[],[]],[],[],[],[],[]] => [[],[],[],[],[],[[],[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [[[]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [[],[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[],[]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [[[],[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[],[]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [[],[],[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [[[]],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[[]]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [[[[]],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[[]]]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [[[],[],[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[],[],[]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [[],[],[],[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [[[]],[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[],[[]]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [[],[[]],[],[],[],[],[[]]] => [[[]],[],[],[],[],[[]],[]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [[[],[]],[],[],[],[],[[]]] => [[[]],[],[],[],[],[[],[]]]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [[[],[[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[]],[]]]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [[[[],[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[],[]]]]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [[[[]],[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[],[[]]]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [[[],[],[],[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[],[],[],[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [[],[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [[],[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[],[]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [[],[[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[]],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [[],[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[],[]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [[[],[],[],[],[],[],[[]]]] => [[[[]],[],[],[],[],[],[]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [[[]],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[[]]]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [[],[[[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[]]],[]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [[[[],[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[],[]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [[],[],[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [[],[],[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[],[],[]]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [[],[[],[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[],[]],[]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [[],[],[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[],[],[]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [[[],[],[],[],[],[],[],[[]]]] => [[[[]],[],[],[],[],[],[],[]]]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [[[[],[],[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[],[],[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [[[[[[[[[]]]]]]]],[]] => [[],[[[[[[[[]]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [[[[[[[[],[]]]]]]],[]] => [[],[[[[[[[],[]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [[[[[[[[]],[]]]]]],[]] => [[],[[[[[[],[[]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]],.] => [[[[[[],[[[]]]]]]],[]] => [[],[[[[[[[]]],[]]]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.] => [[[[[[[]],[[]]]]]],[]] => [[],[[[[[[]],[[]]]]]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [[[],[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]],[]]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [[[],[],[],[],[],[[]]],[]] => [[],[[[]],[],[],[],[],[]]]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [[[[]],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[[]]]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [[[],[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[],[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[],[[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]]],[]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [[[]],[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]],[[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [[[[[[[[]]]]]]],[],[]] => [[],[],[[[[[[[]]]]]]]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [[[],[],[],[],[[]]],[],[]] => [[],[],[[[]],[],[],[],[]]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [[[],[],[],[],[],[]],[],[]] => [[],[],[[],[],[],[],[],[]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [[],[[[[[[]]]]]],[],[]] => [[],[],[[[[[[]]]]]],[]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [[[[[[[]]]]]],[],[],[]] => [[],[],[],[[[[[[]]]]]]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [[[],[],[],[[]]],[],[],[]] => [[],[],[],[[[]],[],[],[]]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [[],[[[[[]]]]],[],[],[]] => [[],[],[],[[[[[]]]]],[]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [[[[[[]]]]],[],[],[],[]] => [[],[],[],[],[[[[[]]]]]]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [[[],[],[[]]],[],[],[],[]] => [[],[],[],[],[[[]],[],[]]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [[],[[[[]]]],[],[],[],[]] => [[],[],[],[],[[[[]]]],[]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [[[[[]]]],[],[],[],[],[]] => [[],[],[],[],[],[[[[]]]]]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [[[[],[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[],[]]]]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [[[],[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]],[]]]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [[],[[]],[[]],[],[],[],[]] => [[],[],[],[],[[]],[[]],[]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [[],[[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]]],[]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [[[]],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[[]]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [[[[]]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[[]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [[],[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [[],[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [[],[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[],[]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [[],[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[],[]]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [[],[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[],[]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [[],[[]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[]],[]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [[[]],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[[]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [[],[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[[[[[[[[[]]]]]]]]]] => [[[[[[[[[[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [[[[[[[[[],[]]]]]]]]] => [[[[[[[[[],[]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [[[[[[[[[]],[]]]]]]]] => [[[[[[[[],[[]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [[[[[[[[[]]],[]]]]]]] => [[[[[[[],[[[]]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [[[[[[[[[]]]],[]]]]]] => [[[[[[],[[[[]]]]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [[[[[[[[[]]]]],[]]]]] => [[[[[],[[[[[]]]]]]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [[[[[[[[[]]]]]],[]]]] => [[[[],[[[[[[]]]]]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [[[[[[[[[]]]]]]],[]]] => [[[],[[[[[[[]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [[[[[[[[[[[]]]]]]]]]]] => [[[[[[[[[[[]]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [[[[[[[[[[],[]]]]]]]]]] => [[[[[[[[[[],[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [[[[[[[[],[],[]]]]]]]] => [[[[[[[[],[],[]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [[[[[[[[[[]],[]]]]]]]]] => [[[[[[[[[],[[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [[[[[[[],[[]],[]]]]]]] => [[[[[[[],[[]],[]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [[[[[[[[[[]]],[]]]]]]]] => [[[[[[[[],[[[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [[[[[[[[[[]]]],[]]]]]]] => [[[[[[[],[[[[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [[[[[[[[[[]]]]],[]]]]]] => [[[[[[],[[[[[]]]]]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [[[[[[[[[[]]]]]],[]]]]] => [[[[[],[[[[[[]]]]]]]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [[[[[[[[[[]]]]]]],[]]]] => [[[[],[[[[[[[]]]]]]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [[[[[[[[[[]]]]]]]],[]]] => [[[],[[[[[[[[]]]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [[[[[[[[[[]]]]]]]]],[]] => [[],[[[[[[[[[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [[[[[[[[[[[],[]]]]]]]]]]] => [[[[[[[[[[[],[]]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [[[[[[[[[],[],[]]]]]]]]] => [[[[[[[[[],[],[]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [[[[[[[[[[[]],[]]]]]]]]]] => [[[[[[[[[[],[[]]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [[[[[[[],[],[],[]]]]]]] => [[[[[[[],[],[],[]]]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [[],[[[[[[[[]]]]]]]],[]] => [[],[[[[[[[[]]]]]]]],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [[[[[[[[[[[]]]]]]]]]],[]] => [[],[[[[[[[[[[]]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [[[[[[[[],[],[],[]]]]]]]] => [[[[[[[[],[],[],[]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [[[[[[],[],[],[],[]]]]]] => [[[[[[],[],[],[],[]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [[[[[[[],[],[],[],[]]]]]]] => [[[[[[[],[],[],[],[]]]]]]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [[[[[],[],[],[],[],[]]]]] => [[[[[],[],[],[],[],[]]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [[[[[[],[],[],[],[],[]]]]]] => [[[[[[],[],[],[],[],[]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [[[[[[[[],[[]]]]]]]]] => [[[[[[[[[]],[]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [[[[[[[],[[],[]]]]]]]] => [[[[[[[[],[]],[]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [[[[[[],[[],[],[]]]]]]] => [[[[[[[],[],[]],[]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [[[[[],[[],[],[],[]]]]]] => [[[[[[],[],[],[]],[]]]]]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [[[[],[[],[],[],[],[]]]]] => [[[[[],[],[],[],[]],[]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[],[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]],[]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [[[],[[[[[[],[]]]]]]]] => [[[[[[[[],[]]]]]],[]]]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [[[],[[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[]],[]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [[[],[],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[],[]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[],[[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[],[[[[[[[],[]]]]]]]] => [[[[[[[[],[]]]]]]],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[],[],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[],[]]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [[],[],[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]],[],[]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [[],[],[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [[],[],[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [[],[],[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [[],[],[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [[],[],[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [[],[],[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[],[],[]]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [[[[[],[],[],[],[],[],[]]]]] => [[[[[],[],[],[],[],[],[]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[],[[[[[[[[[]]]]]]]]]] => [[[[[[[[[[]]]]]]]]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [[],[[[[[[[[],[]]]]]]]]] => [[[[[[[[[],[]]]]]]]],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[],[],[[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]]],[],[]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [[],[],[[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[]],[],[]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[],[],[],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [[],[],[],[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [[],[],[],[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [[],[],[],[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [[],[],[],[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [[],[],[],[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[],[],[],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [[],[],[],[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [[],[],[],[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [[],[],[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[]],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[[]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [[[[]]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[[]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [[[[[]]]],[[[[[]]]]]] => [[[[[[]]]]],[[[[]]]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [[[[[[]]]]],[[[[]]]]] => [[[[[]]]],[[[[[]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [[[[[[[]]]]]],[[[]]]] => [[[[]]],[[[[[[]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [[[[[[[[]]]]]]],[[]]] => [[[]],[[[[[[[]]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[]],[[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]]],[[]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [[[],[]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[],[]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[]]],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[[[]]]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [[[[],[]]],[[[[[]]]]]] => [[[[[[]]]]],[[[],[]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [[[[[]]]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[[[]]]]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [[[[[],[]]]],[[[[]]]]] => [[[[[]]]],[[[[],[]]]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [[[[[[]]]]],[[[[[]]]]]] => [[[[[[]]]]],[[[[[]]]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [[[[[[],[]]]]],[[[]]]] => [[[[]]],[[[[[],[]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [[[[[[[]]]]]],[[[[]]]]] => [[[[[]]]],[[[[[[]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [[[[[[[],[]]]]]],[[]]] => [[[]],[[[[[[],[]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [[[[[[[[]]]]]]],[[[]]]] => [[[[]]],[[[[[[[]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [[[[[[[[[]]]]]]]],[[]]] => [[[]],[[[[[[[[]]]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [[],[[[[[[[[[[]]]]]]]]]]] => [[[[[[[[[[[]]]]]]]]]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [[],[[[[[[[]],[]]]]]]] => [[[[[[[],[[]]]]]]],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [[[[[[[[[],[]]]]]]]],[]] => [[],[[[[[[[[],[]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [[],[[]],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [[],[[[[[[[[]],[]]]]]]]] => [[[[[[[[],[[]]]]]]]],[]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]] => [[[],[[[[[[]],[]]]]]]] => [[[[[[[],[[]]]]]],[]]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [[[],[],[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[],[],[]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [[],[],[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [[],[],[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [[],[],[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[],[],[]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [[],[],[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]],[],[]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[],[[]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[]],[]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [[[]],[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[],[[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]]] => [[[[[[[[[]]],[[]]]]]]]] => [[[[[[[[]],[[[]]]]]]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]] => [[[[[]]]],[[[[],[]]]]] => [[[[[],[]]]],[[[[]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [[],[[[[[[]]]]]],[[]]] => [[[]],[[[[[[]]]]]],[]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [[[[[[[[],[]]]]]],[]]] => [[[],[[[[[[],[]]]]]]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [[],[[[[[[[]]]]]],[]]] => [[[],[[[[[[]]]]]]],[]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [[[[[[[[]]]]]]],[],[],[]] => [[],[],[],[[[[[[[]]]]]]]]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[[.,[[[[[.,.],.],.],.],.]],.]] => [[],[[[],[],[],[],[]],[]]] => [[[],[[],[],[],[],[]]],[]]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[[.,.],.],[[[.,[[[.,.],.],.]],.],.]] => [[],[],[[[],[],[]],[],[]]] => [[[],[],[[],[],[]]],[],[]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [[],[],[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [[],[],[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [[],[],[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [[],[],[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[],[],[]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [[],[],[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [[],[],[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[],[],[]]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [[],[],[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]],[],[]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [[],[],[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[],[],[]]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [[],[],[[]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[]],[],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [[[[[[[[[]]]]]]]],[],[]] => [[],[],[[[[[[[[]]]]]]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[]],[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]],[[]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [[[[[[[]]]]]],[],[],[],[]] => [[],[],[],[],[[[[[[]]]]]]]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [[[[]]],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[[[]]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [[[[[[]]]]],[],[],[],[],[]] => [[],[],[],[],[],[[[[[]]]]]]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [[[[[]]]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[[[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [.,[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]] => [[[],[[]],[[[[[]]]]]]] => [[[[[[[]]]]],[[]],[]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [[[[[[],[[]]],[]],[]],[]]] => [[[],[[],[[],[[[]],[]]]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => [[[[[],[[]]],[]],[],[[]]]] => [[[[]],[],[[],[[[]],[]]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]] => [[[[[],[[]]],[],[[]]],[]]] => [[[],[[[]],[],[[[]],[]]]]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => [[[[],[[]]],[],[[]],[[]]]] => [[[[]],[[]],[],[[[]],[]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => [[[[[],[[]],[[]]],[]],[]]] => [[[],[[],[[[]],[[]],[]]]]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => [[[[],[[]],[[]]],[],[[]]]] => [[[[]],[],[[[]],[[]],[]]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [[[[],[[]],[[]],[[]]],[]]] => [[[],[[[]],[[]],[[]],[]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [[[],[[]],[[]],[[]],[[]]]] => [[[[]],[[]],[[]],[[]],[]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [.,[[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]],.]] => [[[[[[[],[[]]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[[]],[]]]]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [.,[[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.],[.,.]]] => [[[[[[],[[]]],[]],[]],[],[[]]]] => [[[[]],[],[[],[[],[[[]],[]]]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [.,[[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]],.]] => [[[[[[],[[]]],[]],[],[[]]],[]]] => [[[],[[[]],[],[[],[[[]],[]]]]]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [.,[[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]],[.,.]]] => [[[[[],[[]]],[]],[],[[]],[[]]]] => [[[[]],[[]],[],[[],[[[]],[]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [.,[[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]],.]] => [[[[[[],[[]]],[],[[]]],[]],[]]] => [[[],[[],[[[]],[],[[[]],[]]]]]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [.,[[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.],[.,.]]] => [[[[[],[[]]],[],[[]]],[],[[]]]] => [[[[]],[],[[[]],[],[[[]],[]]]]]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]],.]] => [[[[[],[[]]],[],[[]],[[]]],[]]] => [[[],[[[]],[[]],[],[[[]],[]]]]]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]],[.,.]]] => [[[[],[[]]],[],[[]],[[]],[[]]]] => [[[[]],[[]],[[]],[],[[[]],[]]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [.,[[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]],.]] => [[[[[[],[[]],[[]]],[]],[]],[]]] => [[[],[[],[[],[[[]],[[]],[]]]]]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [.,[[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.],[.,.]]] => [[[[[],[[]],[[]]],[]],[],[[]]]] => [[[[]],[],[[],[[[]],[[]],[]]]]]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [.,[[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]],.]] => [[[[[],[[]],[[]]],[],[[]]],[]]] => [[[],[[[]],[],[[[]],[[]],[]]]]]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]],[.,.]]] => [[[[],[[]],[[]]],[],[[]],[[]]]] => [[[[]],[[]],[],[[[]],[[]],[]]]]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [.,[[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]],.]] => [[[[[],[[]],[[]],[[]]],[]],[]]] => [[[],[[],[[[]],[[]],[[]],[]]]]]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [.,[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.],[.,.]]] => [[[[],[[]],[[]],[[]]],[],[[]]]] => [[[[]],[],[[[]],[[]],[[]],[]]]]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.]] => [[[[],[[]],[[]],[[]],[[]]],[]]] => [[[],[[[]],[[]],[[]],[[]],[]]]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [[[],[[]],[[]],[[]],[[]],[[]]]] => [[[[]],[[]],[[]],[[]],[[]],[]]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [[[]],[[],[[]],[[]],[[]],[[]]]] => [[[[]],[[]],[[]],[[]],[]],[[]]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [[[[]],[[]],[[]],[[]]],[]] => [[],[[[]],[[]],[[]],[[]]]]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.] => [[[[]],[[]],[[]],[[]],[[]]],[]] => [[],[[[]],[[]],[[]],[[]],[[]]]]
Map
to binary tree: up step, left tree, down step, right tree
Description
Return the binary tree corresponding to the Dyck path under the transformation up step - left tree - down step - right tree.
A Dyck path D of semilength n with n>1 may be uniquely decomposed into 1L0R for Dyck paths L,R of respective semilengths n1,n2 with n1+n2=n−1.
This map sends D to the binary tree T consisting of a root node with a left child according to L and a right child according to R and then recursively proceeds.
The base case of the unique Dyck path of semilength 1 is sent to a single node.
A Dyck path D of semilength n with n>1 may be uniquely decomposed into 1L0R for Dyck paths L,R of respective semilengths n1,n2 with n1+n2=n−1.
This map sends D to the binary tree T consisting of a root node with a left child according to L and a right child according to R and then recursively proceeds.
The base case of the unique Dyck path of semilength 1 is sent to a single node.
Map
to ordered tree: left child = left brother
Description
Return an ordered tree of size n+1 by the following recursive rule:
- if x is the left child of y, x becomes the left brother of y,
- if x is the right child of y, x becomes the last child of y.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
searching the database
Sorry, this map was not found in the database.