Identifier
Mp00029:
Dyck paths
—to binary tree: left tree, up step, right tree, down step⟶
Binary trees
Mp00015: Binary trees —to ordered tree: right child = right brother⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00015: Binary trees —to ordered tree: right child = right 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 2330 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] => [.,[[.,.],[.,[.,[.,.]]]]] => [[],[[]],[],[],[]] => [[],[],[],[[]],[]]
[1,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],.] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]]
[1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[],[],[]]],[]] => [[],[[[],[],[]]]]
[1,1,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,.]]],[.,.]],.] => [[[[],[],[]],[]]] => [[[],[[],[],[]]]]
[1,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => [[[],[],[]],[[]]] => [[[]],[[],[],[]]]
[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] => [[[.,[.,[[.,.],.]]],.],.] => [[[[],[],[[]]]]] => [[[[[]],[],[]]]]
[1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => [[[],[],[[]]],[]] => [[],[[[]],[],[]]]
[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] => [.,[.,[[[[.,.],.],.],.]]] => [[],[],[[[[]]]]] => [[[[[]]]],[],[]]
[1,1,1,0,1,0,1,1,0,0,0,0] => [.,[.,[[[.,.],.],[.,.]]]] => [[],[],[[[]]],[]] => [[],[[[]]],[],[]]
[1,1,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,.],[.,.]]]],.] => [[[],[],[[]],[]]] => [[[],[[]],[],[]]]
[1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[[.,.],[.,.]]],.]] => [[],[[],[[]],[]]] => [[[],[[]],[]],[]]
[1,1,1,0,1,1,0,0,1,0,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => [[],[],[[[]],[]]] => [[[],[[]]],[],[]]
[1,1,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[.,.],.]]]] => [[],[],[[]],[[]]] => [[[]],[[]],[],[]]
[1,1,1,0,1,1,1,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,.]]]]] => [[],[],[[]],[],[]] => [[],[],[[]],[],[]]
[1,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],.] => [[[[],[],[],[]]]] => [[[[],[],[],[]]]]
[1,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => [[[],[],[],[]],[]] => [[],[[],[],[],[]]]
[1,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] => [[[],[[],[],[]]]] => [[[[],[],[]],[]]]
[1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => [[],[[[],[],[]]]] => [[[[],[],[]]],[]]
[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] => [[.,[.,[.,[[.,.],.]]]],.] => [[[],[],[],[[]]]] => [[[[]],[],[],[]]]
[1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[.,[.,[[.,.],.]]],.]] => [[],[[],[],[[]]]] => [[[[]],[],[]],[]]
[1,1,1,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[.,.],.]],.]]] => [[],[],[[],[[]]]] => [[[[]],[]],[],[]]
[1,1,1,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => [[],[],[],[[[]]]] => [[[[]]],[],[],[]]
[1,1,1,1,0,1,1,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,.]]]]] => [[],[],[],[[]],[]] => [[],[[]],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] => [[[],[],[],[],[]]] => [[[],[],[],[],[]]]
[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] => [.,[.,[.,[.,[.,[.,.]]]]]] => [[],[],[],[],[],[]] => [[],[],[],[],[],[]]
[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] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],.],.],.],[.,.]],.] => [[[[[[[]]]]],[]]] => [[[],[[[[[]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[[.,.],.],.],.],[[.,.],.]] => [[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[[[.,.],.],.],.],[.,[.,.]]] => [[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[.,.],.],.],[.,.]],.],.] => [[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]]]
[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] => [[[[.,.],.],[[.,.],.]],[.,.]] => [[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[[.,.],.],[[[.,.],.],.]],.] => [[[[[]]],[[[]]]]] => [[[[[]]],[[[]]]]]
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[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[[.,.],.],[[[.,.],.],[.,.]]] => [[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[.,.],[.,.]]],.] => [[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[[.,.],.],[[[.,.],[.,.]],.]] => [[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[.,.],.],[[.,.],[[.,.],.]]] => [[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]]]
[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] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[[.,.],.],[.,[[.,.],.]]],.] => [[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[[.,.],.],[[.,[[.,.],.]],.]] => [[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[[.,.],.],[.,[[[.,.],.],.]]] => [[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]]]
[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] => [[.,.],[[[.,.],.],[[.,.],.]]] => [[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]]]
[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] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]]]
[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] => [[.,[.,.]],[[[[.,.],.],.],.]] => [[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]]]
[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] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [[[[[],[]],[],[]]]] => [[[[],[],[[],[]]]]]
[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] => [[[[.,[[.,.],.]],[.,.]],.],.] => [[[[[],[[]]],[]]]] => [[[[],[[[]],[]]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[.,[[.,.],.]],[[.,.],.]],.] => [[[[],[[]]],[[]]]] => [[[[]],[[[]],[]]]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[.,[[.,.],.]],[[[.,.],.],.]] => [[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]]]
[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] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [[[],[],[],[],[[]]]] => [[[[]],[],[],[],[]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [[],[[],[],[],[[]]]] => [[[[]],[],[],[]],[]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]]]
[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] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[]]
[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] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [[[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [[[[[[[[]]]]]],[]]] => [[[],[[[[[[]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [[[[[[[]]]]]],[[]]] => [[[]],[[[[[[]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [[[[[[[]]]]]],[],[]] => [[],[],[[[[[[]]]]]]]
[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] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [[[[[[[]]]]],[]],[]] => [[],[[],[[[[[]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [[[[[[[]]]]],[[]]]] => [[[[]],[[[[[]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [[[[[[]]]]],[[[]]]] => [[[[]]],[[[[[]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [[[[[[]]]]],[[]],[]] => [[],[[]],[[[[[]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [[[[[[[]]]]],[],[]]] => [[[],[],[[[[[]]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [[[[[[]]]]],[[],[]]] => [[[],[]],[[[[[]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [[[[[[]]]]],[],[[]]] => [[[]],[],[[[[[]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [[[[[[]]]]],[],[],[]] => [[],[],[],[[[[[]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [[[[[[[[]]]],[]]]]] => [[[[[],[[[[]]]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [[[[[[[]]]],[]]],[]] => [[],[[[],[[[[]]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [[[[[[[]]]],[]],[]]] => [[[],[[],[[[[]]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [[[[[[]]]],[]],[[]]] => [[[]],[[],[[[[]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [[[[[[]]]],[]],[],[]] => [[],[],[[],[[[[]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [[[[[[[]]]],[[]]]]] => [[[[[]],[[[[]]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [[[[[[]]]],[[]]],[]] => [[],[[[]],[[[[]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [[[[[[]]]],[[[]]]]] => [[[[[]]],[[[[]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [[[[[]]]],[[[[]]]]] => [[[[[]]]],[[[[]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [[[[[]]]],[[[]]],[]] => [[],[[[]]],[[[[]]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [[[[[[]]]],[[]],[]]] => [[[],[[]],[[[[]]]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [[[[[]]]],[[[]],[]]] => [[[],[[]]],[[[[]]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [[[[[]]]],[[]],[[]]] => [[[]],[[]],[[[[]]]]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [[[[[]]]],[[]],[],[]] => [[],[],[[]],[[[[]]]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [[[[[[[]]]],[],[]]]] => [[[[],[],[[[[]]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [[[[[[]]]],[],[]],[]] => [[],[[],[],[[[[]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [[[[[[]]]],[[],[]]]] => [[[[],[]],[[[[]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [[[[[]]]],[[[],[]]]] => [[[[],[]]],[[[[]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [[[[[]]]],[[],[]],[]] => [[],[[],[]],[[[[]]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [[[[[[]]]],[],[[]]]] => [[[[]],[],[[[[]]]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [[[[[]]]],[[],[[]]]] => [[[[]],[]],[[[[]]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [[[[[]]]],[],[[[]]]] => [[[[]]],[],[[[[]]]]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [[[[[]]]],[],[[]],[]] => [[],[[]],[],[[[[]]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [[[[[[]]]],[],[],[]]] => [[[],[],[],[[[[]]]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [[[[[]]]],[[],[],[]]] => [[[],[],[]],[[[[]]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [[[[[]]]],[],[[],[]]] => [[[],[]],[],[[[[]]]]]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [[[[[]]]],[],[],[[]]] => [[[]],[],[],[[[[]]]]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [[[[[]]]],[],[],[],[]] => [[],[],[],[],[[[[]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [[[[[[[[]]],[]]]]]] => [[[[[[],[[[]]]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [[[[[[[]]],[]]]],[]] => [[],[[[[],[[[]]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [[[[[[[]]],[]]],[]]] => [[[],[[[],[[[]]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [[[[[[]]],[]]],[[]]] => [[[]],[[[],[[[]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [[[[[[]]],[]]],[],[]] => [[],[],[[[],[[[]]]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [[[[[[[]]],[]],[]]]] => [[[[],[[],[[[]]]]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [[[[[[]]],[]],[]],[]] => [[],[[],[[],[[[]]]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [[[[[[]]],[]],[[]]]] => [[[[]],[[],[[[]]]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [[[[[]]],[]],[[[]]]] => [[[[]]],[[],[[[]]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [[[[[]]],[]],[[]],[]] => [[],[[]],[[],[[[]]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [[[[[[]]],[]],[],[]]] => [[[],[],[[],[[[]]]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [[[[[]]],[]],[[],[]]] => [[[],[]],[[],[[[]]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [[[[[]]],[]],[],[[]]] => [[[]],[],[[],[[[]]]]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [[[[[]]],[]],[],[],[]] => [[],[],[],[[],[[[]]]]]
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[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [[[[[[]]],[[]]]],[]] => [[],[[[[]],[[[]]]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [[[[[[]]],[[]]],[]]] => [[[],[[[]],[[[]]]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [[[[[]]],[[]]],[[]]] => [[[]],[[[]],[[[]]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [[[[[]]],[[]]],[],[]] => [[],[],[[[]],[[[]]]]]
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[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [[[[[]]],[[[]]]],[]] => [[],[[[[]]],[[[]]]]]
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[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [[[[]]],[[[[[]]]]]] => [[[[[[]]]]],[[[]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [[[[]]],[[[[]]]],[]] => [[],[[[[]]]],[[[]]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [[[[[]]],[[[]]],[]]] => [[[],[[[]]],[[[]]]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[[.,.],.],[[[[.,.],.],[.,.]],.]] => [[[[]]],[[[[]]],[]]] => [[[],[[[]]]],[[[]]]]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [[[[]]],[[[]]],[[]]] => [[[]],[[[]]],[[[]]]]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [[[[]]],[[[]]],[],[]] => [[],[],[[[]]],[[[]]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [[[[[[]]],[[]],[]]]] => [[[[],[[]],[[[]]]]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [[[[[]]],[[]],[]],[]] => [[],[[],[[]],[[[]]]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [[[[[]]],[[[]],[]]]] => [[[[],[[]]],[[[]]]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[[.,.],.],[[[[.,.],[.,.]],.],.]] => [[[[]]],[[[[]],[]]]] => [[[[],[[]]]],[[[]]]]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [[[[]]],[[[]],[]],[]] => [[],[[],[[]]],[[[]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [[[[[]]],[[]],[[]]]] => [[[[]],[[]],[[[]]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [[[[]]],[[[]],[[]]]] => [[[[]],[[]]],[[[]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [[[[]]],[[]],[[[]]]] => [[[[]]],[[]],[[[]]]]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [[[[]]],[[]],[[]],[]] => [[],[[]],[[]],[[[]]]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [[[[[]]],[[]],[],[]]] => [[[],[],[[]],[[[]]]]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [[[[]]],[[[]],[],[]]] => [[[],[],[[]]],[[[]]]]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [[[[]]],[[]],[[],[]]] => [[[],[]],[[]],[[[]]]]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [[[[]]],[[]],[],[[]]] => [[[]],[],[[]],[[[]]]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [[[[]]],[[]],[],[],[]] => [[],[],[],[[]],[[[]]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [[[[[[[]]],[],[]]]]] => [[[[[],[],[[[]]]]]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [[[[[[]]],[],[]]],[]] => [[],[[[],[],[[[]]]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [[[[[[]]],[],[]],[]]] => [[[],[[],[],[[[]]]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [[[[[]]],[],[]],[[]]] => [[[]],[[],[],[[[]]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [[[[[]]],[],[]],[],[]] => [[],[],[[],[],[[[]]]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[[[.,.],.],[[.,[.,.]],.]],.],.] => [[[[[[]]],[[],[]]]]] => [[[[[],[]],[[[]]]]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [[[[[]]],[[],[]]],[]] => [[],[[[],[]],[[[]]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [[[[[]]],[[[],[]]]]] => [[[[[],[]]],[[[]]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [[[[]]],[[[[],[]]]]] => [[[[[],[]]]],[[[]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [[[[]]],[[[],[]]],[]] => [[],[[[],[]]],[[[]]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [[[[[]]],[[],[]],[]]] => [[[],[[],[]],[[[]]]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [[[[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[]]]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [[[[]]],[[],[]],[[]]] => [[[]],[[],[]],[[[]]]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [[[[]]],[[],[]],[],[]] => [[],[],[[],[]],[[[]]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [[[[[[]]],[],[[]]]]] => [[[[[]],[],[[[]]]]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [[[[[]]],[],[[]]],[]] => [[],[[[]],[],[[[]]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [[[[[]]],[[],[[]]]]] => [[[[[]],[]],[[[]]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,[[.,.],.]],.],.]] => [[[[]]],[[[],[[]]]]] => [[[[[]],[]]],[[[]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [[[[]]],[[],[[]]],[]] => [[],[[[]],[]],[[[]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [[[[[]]],[],[[[]]]]] => [[[[[]]],[],[[[]]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [[[[]]],[[],[[[]]]]] => [[[[[]]],[]],[[[]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [[[[]]],[],[[[[]]]]] => [[[[[]]]],[],[[[]]]]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [[[[]]],[],[[[]]],[]] => [[],[[[]]],[],[[[]]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [[[[[]]],[],[[]],[]]] => [[[],[[]],[],[[[]]]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [[[[]]],[[],[[]],[]]] => [[[],[[]],[]],[[[]]]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [[[[]]],[],[[[]],[]]] => [[[],[[]]],[],[[[]]]]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [[[[]]],[],[[]],[[]]] => [[[]],[[]],[],[[[]]]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [[[[]]],[],[[]],[],[]] => [[],[],[[]],[],[[[]]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [[[[[[]]],[],[],[]]]] => [[[[],[],[],[[[]]]]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [[[[[]]],[],[],[]],[]] => [[],[[],[],[],[[[]]]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [[[[[]]],[[],[],[]]]] => [[[[],[],[]],[[[]]]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [[[[]]],[[[],[],[]]]] => [[[[],[],[]]],[[[]]]]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [[[[]]],[[],[],[]],[]] => [[],[[],[],[]],[[[]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [[[[[]]],[],[[],[]]]] => [[[[],[]],[],[[[]]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [[[[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [[[[]]],[],[[[],[]]]] => [[[[],[]]],[],[[[]]]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [[[[]]],[],[[],[]],[]] => [[],[[],[]],[],[[[]]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [[[[[]]],[],[],[[]]]] => [[[[]],[],[],[[[]]]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [[[[]]],[[],[],[[]]]] => [[[[]],[],[]],[[[]]]]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [[[[]]],[],[[],[[]]]] => [[[[]],[]],[],[[[]]]]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [[[[]]],[],[],[[[]]]] => [[[[]]],[],[],[[[]]]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [[[[]]],[],[],[[]],[]] => [[],[[]],[],[],[[[]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [[[[[]]],[],[],[],[]]] => [[[],[],[],[],[[[]]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [[[[]]],[[],[],[],[]]] => [[[],[],[],[]],[[[]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [[[[]]],[],[[],[],[]]] => [[[],[],[]],[],[[[]]]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [[[[]]],[],[],[[],[]]] => [[[],[]],[],[],[[[]]]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [[[[]]],[],[],[],[[]]] => [[[]],[],[],[],[[[]]]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [[[[[[[[]],[]]]]]]] => [[[[[[[],[[]]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [[[[[[[]],[]]]]],[]] => [[],[[[[[],[[]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [[[[[[[]],[]]]],[]]] => [[[],[[[[],[[]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [[[[[[]],[]]]],[[]]] => [[[]],[[[[],[[]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [[[[[[]],[]]]],[],[]] => [[],[],[[[[],[[]]]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [[[[[[[]],[]]],[]]]] => [[[[],[[[],[[]]]]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [[[[[[]],[]]],[]],[]] => [[],[[],[[[],[[]]]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [[[[[[]],[]]],[[]]]] => [[[[]],[[[],[[]]]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [[[[[]],[]]],[[[]]]] => [[[[]]],[[[],[[]]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [[[[[]],[]]],[[]],[]] => [[],[[]],[[[],[[]]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [[[[[[]],[]]],[],[]]] => [[[],[],[[[],[[]]]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [[[[[]],[]]],[[],[]]] => [[[],[]],[[[],[[]]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [[[[[]],[]]],[],[[]]] => [[[]],[],[[[],[[]]]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [[[[[]],[]]],[],[],[]] => [[],[],[],[[[],[[]]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [[[[[[[]],[]],[]]]]] => [[[[[],[[],[[]]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [[[[[[]],[]],[]]],[]] => [[],[[[],[[],[[]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [[[[[[]],[]],[]],[]]] => [[[],[[],[[],[[]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [[[[[]],[]],[]],[[]]] => [[[]],[[],[[],[[]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [[[[[]],[]],[]],[],[]] => [[],[],[[],[[],[[]]]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [[[[[[]],[]],[[]]]]] => [[[[[]],[[],[[]]]]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [[[[[]],[]],[[]]],[]] => [[],[[[]],[[],[[]]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [[[[[]],[]],[[[]]]]] => [[[[[]]],[[],[[]]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [[[[]],[]],[[[[]]]]] => [[[[[]]]],[[],[[]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [[[[]],[]],[[[]]],[]] => [[],[[[]]],[[],[[]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [[[[[]],[]],[[]],[]]] => [[[],[[]],[[],[[]]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [[[[]],[]],[[[]],[]]] => [[[],[[]]],[[],[[]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [[[[]],[]],[[]],[[]]] => [[[]],[[]],[[],[[]]]]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [[[[]],[]],[[]],[],[]] => [[],[],[[]],[[],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [[[[[[]],[]],[],[]]]] => [[[[],[],[[],[[]]]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [[[[[]],[]],[],[]],[]] => [[],[[],[],[[],[[]]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [[[[[]],[]],[[],[]]]] => [[[[],[]],[[],[[]]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [[[[]],[]],[[[],[]]]] => [[[[],[]]],[[],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [[[[]],[]],[[],[]],[]] => [[],[[],[]],[[],[[]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [[[[[]],[]],[],[[]]]] => [[[[]],[],[[],[[]]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [[[[]],[]],[[],[[]]]] => [[[[]],[]],[[],[[]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [[[[]],[]],[],[[[]]]] => [[[[]]],[],[[],[[]]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [[[[]],[]],[],[[]],[]] => [[],[[]],[],[[],[[]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [[[[[]],[]],[],[],[]]] => [[[],[],[],[[],[[]]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [[[[]],[]],[[],[],[]]] => [[[],[],[]],[[],[[]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [[[[]],[]],[],[[],[]]] => [[[],[]],[],[[],[[]]]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [[[[]],[]],[],[],[[]]] => [[[]],[],[],[[],[[]]]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [[[[]],[]],[],[],[],[]] => [[],[],[],[],[[],[[]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [[[[[[[]],[[]]]]]]] => [[[[[[[]],[[]]]]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [[[[[[]],[[]]]]],[]] => [[],[[[[[]],[[]]]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [[[[[[]],[[]]]],[]]] => [[[],[[[[]],[[]]]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [[[[[]],[[]]]],[[]]] => [[[]],[[[[]],[[]]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [[[[[]],[[]]]],[],[]] => [[],[],[[[[]],[[]]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [[[[[[]],[[]]],[]]]] => [[[[],[[[]],[[]]]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [[[[[]],[[]]],[]],[]] => [[],[[],[[[]],[[]]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [[[[[]],[[]]],[[]]]] => [[[[]],[[[]],[[]]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [[[[]],[[]]],[[[]]]] => [[[[]]],[[[]],[[]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [[[[]],[[]]],[[]],[]] => [[],[[]],[[[]],[[]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [[[[[]],[[]]],[],[]]] => [[[],[],[[[]],[[]]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [[[[]],[[]]],[[],[]]] => [[[],[]],[[[]],[[]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [[[[]],[[]]],[],[[]]] => [[[]],[],[[[]],[[]]]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [[[[]],[[]]],[],[],[]] => [[],[],[],[[[]],[[]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [[[[[[]],[[[]]]]]]] => [[[[[[[]]],[[]]]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [[[[[]],[[[]]]]],[]] => [[],[[[[[]]],[[]]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [[[[[]],[[[]]]],[]]] => [[[],[[[[]]],[[]]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [[[[]],[[[]]]],[[]]] => [[[]],[[[[]]],[[]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [[[[]],[[[]]]],[],[]] => [[],[],[[[[]]],[[]]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [[[[[]],[[[[]]]]]]] => [[[[[[[]]]],[[]]]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [[[[]],[[[[]]]]],[]] => [[],[[[[[]]]],[[]]]]
[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] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [[[]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [[[]],[[[[[]]]]],[]] => [[],[[[[[]]]]],[[]]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [[[[]],[[[[]]]],[]]] => [[[],[[[[]]]],[[]]]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [[[]],[[[[[]]]],[]]] => [[[],[[[[]]]]],[[]]]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [[[]],[[[[]]]],[[]]] => [[[]],[[[[]]]],[[]]]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [[[]],[[[[]]]],[],[]] => [[],[],[[[[]]]],[[]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [[[[[]],[[[]]],[]]]] => [[[[],[[[]]],[[]]]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [[[[]],[[[]]],[]],[]] => [[],[[],[[[]]],[[]]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [[[[]],[[[[]]],[]]]] => [[[[],[[[]]]],[[]]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [[[]],[[[[[]]],[]]]] => [[[[],[[[]]]]],[[]]]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [[[]],[[[[]]],[]],[]] => [[],[[],[[[]]]],[[]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [[[[]],[[[]]],[[]]]] => [[[[]],[[[]]],[[]]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [[[]],[[[[]]],[[]]]] => [[[[]],[[[]]]],[[]]]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [[[]],[[[]]],[[[]]]] => [[[[]]],[[[]]],[[]]]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [[[]],[[[]]],[[]],[]] => [[],[[]],[[[]]],[[]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [[[[]],[[[]]],[],[]]] => [[[],[],[[[]]],[[]]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [[[]],[[[[]]],[],[]]] => [[[],[],[[[]]]],[[]]]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [[[]],[[[]]],[[],[]]] => [[[],[]],[[[]]],[[]]]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [[[]],[[[]]],[],[[]]] => [[[]],[],[[[]]],[[]]]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [[[]],[[[]]],[],[],[]] => [[],[],[],[[[]]],[[]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [[[[[[]],[[]],[]]]]] => [[[[[],[[]],[[]]]]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [[[[[]],[[]],[]]],[]] => [[],[[[],[[]],[[]]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [[[[[]],[[]],[]],[]]] => [[[],[[],[[]],[[]]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [[[[]],[[]],[]],[[]]] => [[[]],[[],[[]],[[]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [[[[]],[[]],[]],[],[]] => [[],[],[[],[[]],[[]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [[[[[]],[[[]],[]]]]] => [[[[[],[[]]],[[]]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [[[[]],[[[]],[]]],[]] => [[],[[[],[[]]],[[]]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [[[[]],[[[[]],[]]]]] => [[[[[],[[]]]],[[]]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [[[]],[[[[[]],[]]]]] => [[[[[],[[]]]]],[[]]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [[[]],[[[[]],[]]],[]] => [[],[[[],[[]]]],[[]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [[[[]],[[[]],[]],[]]] => [[[],[[],[[]]],[[]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [[[]],[[[[]],[]],[]]] => [[[],[[],[[]]]],[[]]]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [[[]],[[[]],[]],[[]]] => [[[]],[[],[[]]],[[]]]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [[[]],[[[]],[]],[],[]] => [[],[],[[],[[]]],[[]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [[[[[]],[[]],[[]]]]] => [[[[[]],[[]],[[]]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [[[[]],[[]],[[]]],[]] => [[],[[[]],[[]],[[]]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [[[[]],[[[]],[[]]]]] => [[[[[]],[[]]],[[]]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [[[]],[[[[]],[[]]]]] => [[[[[]],[[]]]],[[]]]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [[[]],[[[]],[[]]],[]] => [[],[[[]],[[]]],[[]]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [[[[]],[[]],[[[]]]]] => [[[[[]]],[[]],[[]]]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [[[]],[[[]],[[[]]]]] => [[[[[]]],[[]]],[[]]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [[[]],[[]],[[[[]]]]] => [[[[[]]]],[[]],[[]]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [[[]],[[]],[[[]]],[]] => [[],[[[]]],[[]],[[]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [[[[]],[[]],[[]],[]]] => [[[],[[]],[[]],[[]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [[[]],[[[]],[[]],[]]] => [[[],[[]],[[]]],[[]]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [[[]],[[]],[[[]],[]]] => [[[],[[]]],[[]],[[]]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [[[]],[[]],[[]],[],[]] => [[],[],[[]],[[]],[[]]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [[[[[]],[[]],[],[]]]] => [[[[],[],[[]],[[]]]]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [[[[]],[[]],[],[]],[]] => [[],[[],[],[[]],[[]]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [[[[]],[[[]],[],[]]]] => [[[[],[],[[]]],[[]]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [[[]],[[[[]],[],[]]]] => [[[[],[],[[]]]],[[]]]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [[[]],[[[]],[],[]],[]] => [[],[[],[],[[]]],[[]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [[[[]],[[]],[[],[]]]] => [[[[],[]],[[]],[[]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [[[]],[[[]],[[],[]]]] => [[[[],[]],[[]]],[[]]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [[[]],[[]],[[[],[]]]] => [[[[],[]]],[[]],[[]]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [[[]],[[]],[[],[]],[]] => [[],[[],[]],[[]],[[]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [[[[]],[[]],[],[[]]]] => [[[[]],[],[[]],[[]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [[[]],[[[]],[],[[]]]] => [[[[]],[],[[]]],[[]]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [[[]],[[]],[[],[[]]]] => [[[[]],[]],[[]],[[]]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [[[]],[[]],[],[[[]]]] => [[[[]]],[],[[]],[[]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [[[]],[[]],[],[[]],[]] => [[],[[]],[],[[]],[[]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [[[[]],[[]],[],[],[]]] => [[[],[],[],[[]],[[]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [[[]],[[[]],[],[],[]]] => [[[],[],[],[[]]],[[]]]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [[[]],[[]],[[],[],[]]] => [[[],[],[]],[[]],[[]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [[[]],[[]],[],[[],[]]] => [[[],[]],[],[[]],[[]]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [[[]],[[]],[],[],[[]]] => [[[]],[],[],[[]],[[]]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [[[]],[[]],[],[],[],[]] => [[],[],[],[],[[]],[[]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [[[[[[[]],[],[]]]]]] => [[[[[[],[],[[]]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [[[[[[]],[],[]]]],[]] => [[],[[[[],[],[[]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [[[[[[]],[],[]]],[]]] => [[[],[[[],[],[[]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [[[[[]],[],[]]],[[]]] => [[[]],[[[],[],[[]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [[[[[]],[],[]]],[],[]] => [[],[],[[[],[],[[]]]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [[[[[[]],[],[]],[]]]] => [[[[],[[],[],[[]]]]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [[[[[]],[],[]],[]],[]] => [[],[[],[[],[],[[]]]]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [[[[[]],[],[]],[[]]]] => [[[[]],[[],[],[[]]]]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [[[[]],[],[]],[[[]]]] => [[[[]]],[[],[],[[]]]]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [[[[]],[],[]],[[]],[]] => [[],[[]],[[],[],[[]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [[[[[]],[],[]],[],[]]] => [[[],[],[[],[],[[]]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [[[[]],[],[]],[[],[]]] => [[[],[]],[[],[],[[]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [[[[]],[],[]],[],[[]]] => [[[]],[],[[],[],[[]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [[[[]],[],[]],[],[],[]] => [[],[],[],[[],[],[[]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[[.,[.,.]],.]],.],.],.] => [[[[[[]],[[],[]]]]]] => [[[[[[],[]],[[]]]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [[[[[]],[[],[]]]],[]] => [[],[[[[],[]],[[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [[[[[]],[[],[]]],[]]] => [[[],[[[],[]],[[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [[[[]],[[],[]]],[[]]] => [[[]],[[[],[]],[[]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [[[[]],[[],[]]],[],[]] => [[],[],[[[],[]],[[]]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [[[[[]],[[[],[]]]]]] => [[[[[[],[]]],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [[[[]],[[[],[]]]],[]] => [[],[[[[],[]]],[[]]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] => [[[[]],[[[[],[]]]]]] => [[[[[[],[]]]],[[]]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [[[]],[[[[[],[]]]]]] => [[[[[[],[]]]]],[[]]]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [[[]],[[[[],[]]]],[]] => [[],[[[[],[]]]],[[]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [[[[]],[[[],[]]],[]]] => [[[],[[[],[]]],[[]]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [[[]],[[[[],[]]],[]]] => [[[],[[[],[]]]],[[]]]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [[[]],[[[],[]]],[[]]] => [[[]],[[[],[]]],[[]]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [[[]],[[[],[]]],[],[]] => [[],[],[[[],[]]],[[]]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [[[[[]],[[],[]],[]]]] => [[[[],[[],[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [[[[]],[[],[]],[]],[]] => [[],[[],[[],[]],[[]]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [[[[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[]]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [[[]],[[[[],[]],[]]]] => [[[[],[[],[]]]],[[]]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[[]],[[[],[]],[]],[]] => [[],[[],[[],[]]],[[]]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [[[[]],[[],[]],[[]]]] => [[[[]],[[],[]],[[]]]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [[[]],[[[],[]],[[]]]] => [[[[]],[[],[]]],[[]]]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [[[]],[[],[]],[[[]]]] => [[[[]]],[[],[]],[[]]]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [[[]],[[],[]],[[]],[]] => [[],[[]],[[],[]],[[]]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [[[[]],[[],[]],[],[]]] => [[[],[],[[],[]],[[]]]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [[[]],[[[],[]],[],[]]] => [[[],[],[[],[]]],[[]]]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [[[]],[[],[]],[[],[]]] => [[[],[]],[[],[]],[[]]]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [[[]],[[],[]],[],[[]]] => [[[]],[],[[],[]],[[]]]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [[[]],[[],[]],[],[],[]] => [[],[],[],[[],[]],[[]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [[[[[[]],[],[[]]]]]] => [[[[[[]],[],[[]]]]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [[[[[]],[],[[]]]],[]] => [[],[[[[]],[],[[]]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [[[[[]],[],[[]]],[]]] => [[[],[[[]],[],[[]]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [[[[]],[],[[]]],[[]]] => [[[]],[[[]],[],[[]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [[[[]],[],[[]]],[],[]] => [[],[],[[[]],[],[[]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [[[[[]],[[],[[]]]]]] => [[[[[[]],[]],[[]]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [[[[]],[[],[[]]]],[]] => [[],[[[[]],[]],[[]]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [[[[]],[[[],[[]]]]]] => [[[[[[]],[]]],[[]]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [[[]],[[[[],[[]]]]]] => [[[[[[]],[]]]],[[]]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [[[]],[[[],[[]]]],[]] => [[],[[[[]],[]]],[[]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [[[[]],[[],[[]]],[]]] => [[[],[[[]],[]],[[]]]]
[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] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [[[[[]],[],[[[]]]]]] => [[[[[[]]],[],[[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [[[[]],[],[[[]]]],[]] => [[],[[[[]]],[],[[]]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [[[[]],[[],[[[]]]]]] => [[[[[[]]],[]],[[]]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [[[]],[[[],[[[]]]]]] => [[[[[[]]],[]]],[[]]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [[[]],[[],[[[]]]],[]] => [[],[[[[]]],[]],[[]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] => [[[[]],[],[[[[]]]]]] => [[[[[[]]]],[],[[]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [[[]],[[],[[[[]]]]]] => [[[[[[]]]],[]],[[]]]
[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] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [[[]],[],[[[[]]]],[]] => [[],[[[[]]]],[],[[]]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [[[[]],[],[[[]]],[]]] => [[[],[[[]]],[],[[]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [[[]],[[],[[[]]],[]]] => [[[],[[[]]],[]],[[]]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [[[]],[],[[[[]]],[]]] => [[[],[[[]]]],[],[[]]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [[[]],[],[[[]]],[[]]] => [[[]],[[[]]],[],[[]]]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [[[]],[],[[[]]],[],[]] => [[],[],[[[]]],[],[[]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [[[[[]],[],[[]],[]]]] => [[[[],[[]],[],[[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [[[[]],[],[[]],[]],[]] => [[],[[],[[]],[],[[]]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [[[[]],[[],[[]],[]]]] => [[[[],[[]],[]],[[]]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [[[]],[[[],[[]],[]]]] => [[[[],[[]],[]]],[[]]]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [[[]],[[],[[]],[]],[]] => [[],[[],[[]],[]],[[]]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [[[[]],[],[[[]],[]]]] => [[[[],[[]]],[],[[]]]]
[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] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [[[]],[],[[]],[[[]]]] => [[[[]]],[[]],[],[[]]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [[[]],[],[[]],[[]],[]] => [[],[[]],[[]],[],[[]]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [[[[]],[],[[]],[],[]]] => [[[],[],[[]],[],[[]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [[[]],[[],[[]],[],[]]] => [[[],[],[[]],[]],[[]]]
[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] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [[[]],[],[[]],[[],[]]] => [[[],[]],[[]],[],[[]]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [[[]],[],[[]],[],[[]]] => [[[]],[],[[]],[],[[]]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [[[]],[],[[]],[],[],[]] => [[],[],[],[[]],[],[[]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [[[[[[]],[],[],[]]]]] => [[[[[],[],[],[[]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [[[[[]],[],[],[]]],[]] => [[],[[[],[],[],[[]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [[[[[]],[],[],[]],[]]] => [[[],[[],[],[],[[]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [[[[]],[],[],[]],[[]]] => [[[]],[[],[],[],[[]]]]
[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] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [[[[[]],[[],[],[]]]]] => [[[[[],[],[]],[[]]]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [[[[]],[[],[],[]]],[]] => [[],[[[],[],[]],[[]]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [[[[]],[[[],[],[]]]]] => [[[[[],[],[]]],[[]]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [[[]],[[[[],[],[]]]]] => [[[[[],[],[]]]],[[]]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [[[]],[[[],[],[]]],[]] => [[],[[[],[],[]]],[[]]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [[[[]],[[],[],[]],[]]] => [[[],[[],[],[]],[[]]]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [[[]],[[[],[],[]],[]]] => [[[],[[],[],[]]],[[]]]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [[[]],[[],[],[]],[[]]] => [[[]],[[],[],[]],[[]]]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [[[]],[[],[],[]],[],[]] => [[],[],[[],[],[]],[[]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [[[[[]],[],[[],[]]]]] => [[[[[],[]],[],[[]]]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [[[[]],[],[[],[]]],[]] => [[],[[[],[]],[],[[]]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [[[[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[]]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [[[]],[[[],[[],[]]]]] => [[[[[],[]],[]]],[[]]]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [[[]],[[],[[],[]]],[]] => [[],[[[],[]],[]],[[]]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [[[[]],[],[[[],[]]]]] => [[[[[],[]]],[],[[]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [[[]],[[],[[[],[]]]]] => [[[[[],[]]],[]],[[]]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [[[]],[],[[[[],[]]]]] => [[[[[],[]]]],[],[[]]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [[[]],[],[[[],[]]],[]] => [[],[[[],[]]],[],[[]]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [[[[]],[],[[],[]],[]]] => [[[],[[],[]],[],[[]]]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [[[]],[[],[[],[]],[]]] => [[[],[[],[]],[]],[[]]]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [[[]],[],[[[],[]],[]]] => [[[],[[],[]]],[],[[]]]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [[[]],[],[[],[]],[[]]] => [[[]],[[],[]],[],[[]]]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [[[]],[],[[],[]],[],[]] => [[],[],[[],[]],[],[[]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [[[[[]],[],[],[[]]]]] => [[[[[]],[],[],[[]]]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [[[[]],[],[],[[]]],[]] => [[],[[[]],[],[],[[]]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [[[[]],[[],[],[[]]]]] => [[[[[]],[],[]],[[]]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [[[]],[[[],[],[[]]]]] => [[[[[]],[],[]]],[[]]]
[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] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [[[]],[],[],[[[]]],[]] => [[],[[[]]],[],[],[[]]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [[[[]],[],[],[[]],[]]] => [[[],[[]],[],[],[[]]]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [[[]],[[],[],[[]],[]]] => [[[],[[]],[],[]],[[]]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [[[]],[],[[],[[]],[]]] => [[[],[[]],[]],[],[[]]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [[[]],[],[],[[[]],[]]] => [[[],[[]]],[],[],[[]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [[[]],[],[],[[]],[[]]] => [[[]],[[]],[],[],[[]]]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [[[]],[],[],[[]],[],[]] => [[],[],[[]],[],[],[[]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [[[[[]],[],[],[],[]]]] => [[[[],[],[],[],[[]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [[[[]],[],[],[],[]],[]] => [[],[[],[],[],[],[[]]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [[[[]],[[],[],[],[]]]] => [[[[],[],[],[]],[[]]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [[[]],[[[],[],[],[]]]] => [[[[],[],[],[]]],[[]]]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [[[]],[[],[],[],[]],[]] => [[],[[],[],[],[]],[[]]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [[[[]],[],[[],[],[]]]] => [[[[],[],[]],[],[[]]]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [[[]],[[],[[],[],[]]]] => [[[[],[],[]],[]],[[]]]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [[[]],[],[[[],[],[]]]] => [[[[],[],[]]],[],[[]]]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [[[]],[],[[],[],[]],[]] => [[],[[],[],[]],[],[[]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [[[[]],[],[],[[],[]]]] => [[[[],[]],[],[],[[]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [[[]],[[],[],[[],[]]]] => [[[[],[]],[],[]],[[]]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [[[]],[],[[],[[],[]]]] => [[[[],[]],[]],[],[[]]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [[[]],[],[],[[[],[]]]] => [[[[],[]]],[],[],[[]]]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [[[]],[],[],[[],[]],[]] => [[],[[],[]],[],[],[[]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [[[[]],[],[],[],[[]]]] => [[[[]],[],[],[],[[]]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [[[]],[[],[],[],[[]]]] => [[[[]],[],[],[]],[[]]]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [[[]],[],[[],[],[[]]]] => [[[[]],[],[]],[],[[]]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [[[]],[],[],[[],[[]]]] => [[[[]],[]],[],[],[[]]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [[[]],[],[],[],[[[]]]] => [[[[]]],[],[],[],[[]]]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [[[]],[],[],[],[[]],[]] => [[],[[]],[],[],[],[[]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [[[[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [[[]],[[],[],[],[],[]]] => [[[],[],[],[],[]],[[]]]
[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] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [[[]],[],[],[[],[],[]]] => [[[],[],[]],[],[],[[]]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [[[]],[],[],[],[[],[]]] => [[[],[]],[],[],[],[[]]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [[[]],[],[],[],[],[[]]] => [[[]],[],[],[],[],[[]]]
[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] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [[[[[[[[],[]]]]]]]] => [[[[[[[[],[]]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[[[[[[],[]]]]]],[]] => [[],[[[[[[],[]]]]]]]
[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] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [[[[[[],[]]]],[[]]]] => [[[[]],[[[[],[]]]]]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [[[[[],[]]]],[[[]]]] => [[[[]]],[[[[],[]]]]]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [[[[[],[]]]],[[]],[]] => [[],[[]],[[[[],[]]]]]
[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] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [[[[[],[]]],[]],[[]]] => [[[]],[[],[[[],[]]]]]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [[[[[],[]]],[]],[],[]] => [[],[],[[],[[[],[]]]]]
[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] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [[[[],[]]],[[[[]]]]] => [[[[[]]]],[[[],[]]]]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [[[[],[]]],[[[]]],[]] => [[],[[[]]],[[[],[]]]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [[[[[],[]]],[[]],[]]] => [[[],[[]],[[[],[]]]]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [[[[],[]]],[[[]],[]]] => [[[],[[]]],[[[],[]]]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [[[[],[]]],[[]],[[]]] => [[[]],[[]],[[[],[]]]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [[[[],[]]],[[]],[],[]] => [[],[],[[]],[[[],[]]]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [[[[[[],[]]],[],[]]]] => [[[[],[],[[[],[]]]]]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [[[[[],[]]],[],[]],[]] => [[],[[],[],[[[],[]]]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [[[[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]]]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [[[[],[]]],[[[],[]]]] => [[[[],[]]],[[[],[]]]]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [[[[],[]]],[[],[]],[]] => [[],[[],[]],[[[],[]]]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [[[[[],[]]],[],[[]]]] => [[[[]],[],[[[],[]]]]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [[[[],[]]],[[],[[]]]] => [[[[]],[]],[[[],[]]]]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [[[[],[]]],[],[[[]]]] => [[[[]]],[],[[[],[]]]]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [[[[],[]]],[],[[]],[]] => [[],[[]],[],[[[],[]]]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [[[[[],[]]],[],[],[]]] => [[[],[],[],[[[],[]]]]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [[[[],[]]],[[],[],[]]] => [[[],[],[]],[[[],[]]]]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [[[[],[]]],[],[[],[]]] => [[[],[]],[],[[[],[]]]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [[[[],[]]],[],[],[[]]] => [[[]],[],[],[[[],[]]]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [[[[],[]]],[],[],[],[]] => [[],[],[],[],[[[],[]]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [[[[[[[],[]],[]]]]]] => [[[[[[],[[],[]]]]]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [[[[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]]]]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [[[[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]]]]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [[[[[],[]],[]]],[[]]] => [[[]],[[[],[[],[]]]]]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [[[[[],[]],[]]],[],[]] => [[],[],[[[],[[],[]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [[[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[],[]],[]],[]],[]] => [[],[[],[[],[[],[]]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [[[[[],[]],[]],[[]]]] => [[[[]],[[],[[],[]]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [[[[],[]],[]],[[[]]]] => [[[[]]],[[],[[],[]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [[[[],[]],[]],[[]],[]] => [[],[[]],[[],[[],[]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [[[[[],[]],[]],[],[]]] => [[[],[],[[],[[],[]]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [[[[],[]],[]],[[],[]]] => [[[],[]],[[],[[],[]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [[[[],[]],[]],[],[[]]] => [[[]],[],[[],[[],[]]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [[[[],[]],[]],[],[],[]] => [[],[],[],[[],[[],[]]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [[[[[[],[]],[[]]]]]] => [[[[[[]],[[],[]]]]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [[[[[],[]],[[]]]],[]] => [[],[[[[]],[[],[]]]]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [[[[[],[]],[[]]],[]]] => [[[],[[[]],[[],[]]]]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [[[[],[]],[[]]],[[]]] => [[[]],[[[]],[[],[]]]]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [[[[],[]],[[]]],[],[]] => [[],[],[[[]],[[],[]]]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [[[[[],[]],[[[]]]]]] => [[[[[[]]],[[],[]]]]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [[[[],[]],[[[]]]],[]] => [[],[[[[]]],[[],[]]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [[[[],[]],[[[[]]]]]] => [[[[[[]]]],[[],[]]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [[[],[]],[[[[[]]]]]] => [[[[[[]]]]],[[],[]]]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [[[],[]],[[[[]]]],[]] => [[],[[[[]]]],[[],[]]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [[[[],[]],[[[]]],[]]] => [[[],[[[]]],[[],[]]]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [[[],[]],[[[[]]],[]]] => [[[],[[[]]]],[[],[]]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [[[],[]],[[[]]],[[]]] => [[[]],[[[]]],[[],[]]]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [[[],[]],[[[]]],[],[]] => [[],[],[[[]]],[[],[]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [[[[[],[]],[[]],[]]]] => [[[[],[[]],[[],[]]]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[[[],[]],[[]],[]],[]] => [[],[[],[[]],[[],[]]]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [[[[],[]],[[[]],[]]]] => [[[[],[[]]],[[],[]]]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [[[],[]],[[[[]],[]]]] => [[[[],[[]]]],[[],[]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[],[]],[[[]],[]],[]] => [[],[[],[[]]],[[],[]]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [[[[],[]],[[]],[[]]]] => [[[[]],[[]],[[],[]]]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [[[],[]],[[[]],[[]]]] => [[[[]],[[]]],[[],[]]]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [[[],[]],[[]],[[[]]]] => [[[[]]],[[]],[[],[]]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [[[],[]],[[]],[[]],[]] => [[],[[]],[[]],[[],[]]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [[[[],[]],[[]],[],[]]] => [[[],[],[[]],[[],[]]]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [[[],[]],[[[]],[],[]]] => [[[],[],[[]]],[[],[]]]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [[[],[]],[[]],[[],[]]] => [[[],[]],[[]],[[],[]]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [[[],[]],[[]],[],[[]]] => [[[]],[],[[]],[[],[]]]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [[[],[]],[[]],[],[],[]] => [[],[],[],[[]],[[],[]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [[[[[[],[]],[],[]]]]] => [[[[[],[],[[],[]]]]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [[[[[],[]],[],[]]],[]] => [[],[[[],[],[[],[]]]]]
[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] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [[[[],[]],[],[]],[[]]] => [[[]],[[],[],[[],[]]]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [[[[],[]],[],[]],[],[]] => [[],[],[[],[],[[],[]]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [[[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[],[]],[[],[]]],[]] => [[],[[[],[]],[[],[]]]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [[[[],[]],[[[],[]]]]] => [[[[[],[]]],[[],[]]]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [[[],[]],[[[[],[]]]]] => [[[[[],[]]]],[[],[]]]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [[[],[]],[[[],[]]],[]] => [[],[[[],[]]],[[],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [[[[],[]],[[],[]],[]]] => [[[],[[],[]],[[],[]]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [[[],[]],[[],[]],[[]]] => [[[]],[[],[]],[[],[]]]
[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] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [[[[[],[]],[],[[]]]]] => [[[[[]],[],[[],[]]]]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [[[[],[]],[],[[]]],[]] => [[],[[[]],[],[[],[]]]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [[[[],[]],[[],[[]]]]] => [[[[[]],[]],[[],[]]]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [[[],[]],[[[],[[]]]]] => [[[[[]],[]]],[[],[]]]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [[[],[]],[[],[[]]],[]] => [[],[[[]],[]],[[],[]]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [[[[],[]],[],[[[]]]]] => [[[[[]]],[],[[],[]]]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [[[],[]],[[],[[[]]]]] => [[[[[]]],[]],[[],[]]]
[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] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [[[[],[]],[],[[]],[]]] => [[[],[[]],[],[[],[]]]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [[[],[]],[[],[[]],[]]] => [[[],[[]],[]],[[],[]]]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [[[],[]],[],[[[]],[]]] => [[[],[[]]],[],[[],[]]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [[[],[]],[],[[]],[[]]] => [[[]],[[]],[],[[],[]]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [[[],[]],[],[[]],[],[]] => [[],[],[[]],[],[[],[]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [[[[[],[]],[],[],[]]]] => [[[[],[],[],[[],[]]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [[[[],[]],[],[],[]],[]] => [[],[[],[],[],[[],[]]]]
[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] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [[[],[]],[],[[[],[]]]] => [[[[],[]]],[],[[],[]]]
[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] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [[[],[]],[[],[],[[]]]] => [[[[]],[],[]],[[],[]]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [[[],[]],[],[[],[[]]]] => [[[[]],[]],[],[[],[]]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [[[],[]],[],[],[[[]]]] => [[[[]]],[],[],[[],[]]]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [[[],[]],[],[],[[]],[]] => [[],[[]],[],[],[[],[]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [[[[],[]],[],[],[],[]]] => [[[],[],[],[],[[],[]]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [[[],[]],[[],[],[],[]]] => [[[],[],[],[]],[[],[]]]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [[[],[]],[],[[],[],[]]] => [[[],[],[]],[],[[],[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [[[],[]],[],[],[[],[]]] => [[[],[]],[],[],[[],[]]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [[[],[]],[],[],[],[[]]] => [[[]],[],[],[],[[],[]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[[],[]],[],[],[],[],[]] => [[],[],[],[],[],[[],[]]]
[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] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [[[[[],[[]]]]],[],[]] => [[],[],[[[[[]],[]]]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [[[[[[],[[]]]],[]]]] => [[[[],[[[[]],[]]]]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [[[[[],[[]]]],[]],[]] => [[],[[],[[[[]],[]]]]]
[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] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [[[[],[[]]]],[[],[]]] => [[[],[]],[[[[]],[]]]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [[[[],[[]]]],[],[[]]] => [[[]],[],[[[[]],[]]]]
[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] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [[[[[],[[]]],[]],[]]] => [[[],[[],[[[]],[]]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [[[[],[[]]],[]],[[]]] => [[[]],[[],[[[]],[]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [[[[],[[]]],[]],[],[]] => [[],[],[[],[[[]],[]]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [[[[[],[[]]],[[]]]]] => [[[[[]],[[[]],[]]]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [[[[],[[]]],[[]]],[]] => [[],[[[]],[[[]],[]]]]
[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] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [[],[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[],[]]
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[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] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [[[],[],[],[],[],[],[],[[]]]] => [[[[]],[],[],[],[],[],[],[]]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => [[[],[],[],[],[],[[]],[]]] => [[[],[[]],[],[],[],[],[]]]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [[[]],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[[]]]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [[[]],[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[],[[]]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [[[],[],[],[],[],[[[]]]]] => [[[[[]]],[],[],[],[],[]]]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [[[]],[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[],[[]]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [[[],[],[],[],[],[],[[[]]]]] => [[[[[]]],[],[],[],[],[],[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [[[],[[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[]],[]]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [[[],[[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[]],[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [[[],[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[],[]]]
[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] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[]]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[[]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [[[],[],[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[],[],[]]]
[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] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [[],[[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]]],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [[],[[[[[[[]]]]]],[]]] => [[[],[[[[[[]]]]]]],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [[],[[[[[[]]]]]],[[]]] => [[[]],[[[[[[]]]]]],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] => [[],[[[[[[]]]]]],[],[]] => [[],[],[[[[[[]]]]]],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [.,[[[[[[[.,.],.],.],.],[.,.]],.],.]] => [[],[[[[[[[]]]]],[]]]] => [[[[],[[[[[]]]]]]],[]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [[],[[[[[[[]],[]]]]]]] => [[[[[[[],[[]]]]]]],[]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [[],[[]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[]],[]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [[],[[[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[]]],[]]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]] => [[],[[]],[],[],[],[[],[]]] => [[[],[]],[],[],[],[[]],[]]
[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] => [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [[],[[[[[[[],[]]]]]]]] => [[[[[[[[],[]]]]]]],[]]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]] => [[],[[[],[]],[]],[[]],[]] => [[],[[]],[[],[[],[]]],[]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [[],[[[[[[],[[]]]]]]]] => [[[[[[[[]],[]]]]]],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [[],[[],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[]],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [[],[],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[],[]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [[],[],[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]],[],[]]
[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] => [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [[],[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[],[]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]] => [[],[[[],[[],[]]],[]],[]] => [[],[[],[[[],[]],[]]],[]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]] => [[],[],[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]],[],[]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [[],[],[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[],[],[]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [[],[],[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[],[],[]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [[],[],[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[],[],[]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [[],[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[],[]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[[[[.,.],.],.],.]],.]]]] => [[],[],[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[],[],[]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [[],[],[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[],[],[]]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [[],[],[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[],[],[]]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [[],[],[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[],[],[]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [[],[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [[],[[[[],[],[],[],[]]]]] => [[[[[],[],[],[],[]]]],[]]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]] => [[],[],[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[],[],[]]
[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] => [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [[],[],[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[],[],[]]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [[],[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[],[]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] => [[],[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[],[]]
[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] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [[],[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [[],[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [[],[[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[]],[]]
[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] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [[[[[[[[[]]]]]]]],[[]]] => [[[]],[[[[[[[[]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [[[[[[[[]]]]]]],[[[]]]] => [[[[]]],[[[[[[[]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [[[[[[[]]]]]],[[[[]]]]] => [[[[[]]]],[[[[[[]]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [[[[[]]]],[[[[],[]]]]] => [[[[[],[]]]],[[[[]]]]]
[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] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [[[[[[[[[]]]]]]]],[],[]] => [[],[],[[[[[[[[]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [[[[[[[]]]]]],[],[],[]] => [[],[],[],[[[[[[]]]]]]]
[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] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [[[[[[[[]]]]]]],[],[],[]] => [[],[],[],[[[[[[[]]]]]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,[[[.,.],.],.]],.],.]] => [[[[]]],[[[],[[[]]]]]] => [[[[[[]]],[]]],[[[]]]]
[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] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [[[[[[[]]]]]],[],[],[],[]] => [[],[],[],[],[[[[[[]]]]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[[[[.,.],.],.],.],.]],.]] => [[[]],[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]],[[]]]
[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] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [[[[[[[[[]]]]]]],[]]] => [[[],[[[[[[[]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [[[[[[[[[]]]]]],[]]]] => [[[[],[[[[[[]]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [[[[[[[[[]]]]],[]]]]] => [[[[[],[[[[[]]]]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [[[[[[[[[]]]],[]]]]]] => [[[[[[],[[[[]]]]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [[[[[[[[[]]],[]]]]]]] => [[[[[[[],[[[]]]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [[[[[[[[[]],[]]]]]]]] => [[[[[[[[],[[]]]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [[[[[[[[]],[]]]]]],[]] => [[],[[[[[[],[[]]]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [[[[[[[[]],[],[]]]]]]] => [[[[[[[],[],[[]]]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [[[[[[[]],[],[],[]]]]]] => [[[[[[],[],[],[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [[[[[[]],[],[],[],[]]]]] => [[[[[],[],[],[],[[]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [[[[[]],[],[],[],[],[]]]] => [[[[],[],[],[],[],[[]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [[[[]],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[[]]]]
[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] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [[[[[[[[],[]]]]]]],[]] => [[],[[[[[[[],[]]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [[[[[[[[],[]]]]]],[]]] => [[[],[[[[[[],[]]]]]]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [[[[],[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[],[]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [[[[[[[[],[],[]]]]]]]] => [[[[[[[[],[],[]]]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [[[[[[[],[],[],[]]]]]]] => [[[[[[[],[],[],[]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [[[[[[],[],[],[],[]]]]]] => [[[[[[],[],[],[],[]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [[[[[],[],[],[],[],[]]]]] => [[[[[],[],[],[],[],[]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [[[[],[],[],[],[],[]],[]]] => [[[],[[],[],[],[],[],[]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [[[],[],[],[],[],[]],[],[]] => [[],[],[[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [[[[[[[[[[]]]]]]]],[]]] => [[[],[[[[[[[[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [[[[[[[[[[]]]]]]],[]]]] => [[[[],[[[[[[[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [[[[[[[[[[]]]]]],[]]]]] => [[[[[],[[[[[[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [[[[[[[[[[]]]]],[]]]]]] => [[[[[[],[[[[[]]]]]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [[[[[[[[[[]]]],[]]]]]]] => [[[[[[[],[[[[]]]]]]]]]]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[[]]]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[[[]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [[[[[[[[[[]]],[]]]]]]]] => [[[[[[[[],[[[]]]]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [[[[[[[[[[]],[]]]]]]]]] => [[[[[[[[[],[[]]]]]]]]]]
[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] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [[[[[[[[[],[]]]]]]]],[]] => [[],[[[[[[[[],[]]]]]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[[],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [[[[[[[[[],[],[]]]]]]]]] => [[[[[[[[[],[],[]]]]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [[[[[[[[],[],[],[]]]]]]]] => [[[[[[[[],[],[],[]]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [[[[[[[],[],[],[],[]]]]]]] => [[[[[[[],[],[],[],[]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [[[[[[],[],[],[],[],[]]]]]] => [[[[[[],[],[],[],[],[]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [[[[[],[],[],[],[],[],[]]]]] => [[[[[],[],[],[],[],[],[]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [[],[],[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [[[[[[[[],[[]]]]]]]]] => [[[[[[[[[]],[]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [[[],[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]],[]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [[[[[[[],[[]],[]]]]]]] => [[[[[[[],[[]],[]]]]]]]
[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] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [[],[[[[[[[[]]]]]]]],[]] => [[],[[[[[[[[]]]]]]]],[]]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [[],[],[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [[],[],[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [[],[],[],[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[],[],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [[[[[[[],[[]]]]]]],[]] => [[],[[[[[[[]],[]]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] => [[[],[],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[],[]]]
[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] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [[],[],[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] => [[],[],[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[],[],[]]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [[],[],[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[],[],[]]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [[],[],[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[],[],[]]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] => [[],[],[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[],[],[]]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[],[],[[]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[]],[],[]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[.,[[.,.],[[[[[.,.],.],.],.],.]]],.] => [[[],[[]],[[[[[]]]]]]] => [[[[[[[]]]]],[[]],[]]]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [[],[],[],[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[],[],[],[]]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [[[],[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]],[]]]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [[[],[],[[]]],[],[],[],[]] => [[],[],[],[],[[[]],[],[]]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [[[],[],[],[[]]],[],[],[]] => [[],[],[],[[[]],[],[],[]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [[[],[],[],[],[[]]],[],[]] => [[],[],[[[]],[],[],[],[]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [[[[[[[[]]],[[]]]]]]] => [[[[[[[]],[[[]]]]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [[[],[[[[[[],[]]]]]]]] => [[[[[[[[],[]]]]]],[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [[[]],[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]],[[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [[[],[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]],[]]]
[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] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [[],[],[],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[],[],[]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [[],[],[[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[]],[],[]]
[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] => [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [[],[],[],[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[],[],[],[]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [[],[],[],[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [[],[],[],[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[],[],[],[]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [[[[[],[[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[]],[]]]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => [[[[],[[[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[]]],[]]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => [[[],[[[[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[]]]],[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [[],[[[[[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[]]]]],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [[],[],[[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]]],[],[]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [[[]],[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]],[[]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [[[]],[[],[[]]],[[]],[[]]] => [[[]],[[]],[[[]],[]],[[]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => [[[]],[[],[[]],[[]]],[[]]] => [[[]],[[[]],[[]],[]],[[]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => [[[]],[[],[[]],[[]],[[]]]] => [[[[]],[[]],[[]],[]],[[]]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [[[]],[[],[[]],[[],[[]]]]] => [[[[[]],[]],[[]],[]],[[]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]] => [[[],[[]]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[[]],[]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]] => [[[],[[]],[[]]],[[]],[[]]] => [[[]],[[]],[[[]],[[]],[]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]] => [[[],[[]],[[]],[[]]],[[]]] => [[[]],[[[]],[[]],[[]],[]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [[[]],[[]],[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]],[[]],[[]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]] => [[[]],[[],[[]]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[[]],[]],[[]]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]] => [[[]],[[],[[]]],[[],[[]]],[[]]] => [[[]],[[[]],[]],[[[]],[]],[[]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]] => [[[]],[[],[[]],[[]]],[[]],[[]]] => [[[]],[[]],[[[]],[[]],[]],[[]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]] => [[[]],[[],[[]],[[]],[[]]],[[]]] => [[[]],[[[]],[[]],[[]],[]],[[]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]] => [[[]],[[],[[]],[[]],[[]],[[]]]] => [[[[]],[[]],[[]],[[]],[]],[[]]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [[.,.],[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]] => [[[]],[[],[[]],[[]],[[],[[]]]]] => [[[[[]],[]],[[]],[[]],[]],[[]]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[.,.],[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]] => [[[]],[[],[[]],[[],[[]]],[[]]]] => [[[[]],[[[]],[]],[[]],[]],[[]]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [[.,.],[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]] => [[[]],[[],[[]],[[],[[]],[[]]]]] => [[[[[]],[[]],[]],[[]],[]],[[]]]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[.,[[.,.],.]],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [[[],[[]]],[[],[[]],[[],[[]]]]] => [[[[[]],[]],[[]],[]],[[[]],[]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [[],[],[],[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[],[],[],[]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [[[[[[[[]],[[]]]]]]]] => [[[[[[[[]],[[]]]]]]]]
[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] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [[],[],[],[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[],[],[],[]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [[[[]],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[[]]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [[[],[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]],[]]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]],.] => [[[],[[],[],[],[],[]],[]]] => [[[],[[],[],[],[],[]],[]]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [[[],[]],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [[[],[[]],[]],[[]],[[]],[]] => [[],[[]],[[]],[[],[[]],[]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [[[],[[[]],[]],[]],[[]],[]] => [[],[[]],[[],[[],[[]]],[]]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [[[]],[[[[],[]],[]],[]],[]] => [[],[[],[[],[[],[]]]],[[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[[],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[]]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[]]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[[],[[[],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[]]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[]]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [[],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[[[],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[]]]]]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [[[[],[[[],[[],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[]],[]]],[]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[[[],[]],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[[],[]]]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[[],[[],[]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[],[]],[]]]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[[],[]],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[[],[]]]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[],[[[],[]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[],[]]],[]]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[[],[[[[],[]],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[[],[]]]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [[[],[[[],[[[],[]],[]]],[]]],[]] => [[],[[[],[[[],[[],[]]],[]]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[[],[]],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[[],[]]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[],[[],[]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[],[]],[]]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [[[],[[[[],[[],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[]],[]]]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[[],[]],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[[],[]]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[],[[[[[],[]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[],[]]]]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [[[],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [[],[[[[],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[]]]],[]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [[],[[[[[],[]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[],[]]]]],[]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [[],[[[],[[[[],[]],[]],[]]],[]]] => [[[],[[[],[[],[[],[]]]],[]]],[]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[],[[[[],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[]]]],[]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[],[[[[[],[]],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[[],[]]]]],[]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [[],[[[[],[[[],[]],[]]],[]],[]]] => [[[],[[],[[[],[[],[]]],[]]]],[]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [[],[[[[[],[[],[]]],[]],[]],[]]] => [[[],[[],[[],[[[],[]],[]]]]],[]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[],[[[[[[],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[]]]]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [[[[[],[]],[[]],[]],[]],[]] => [[],[[],[[],[[]],[[],[]]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [[[[[],[]],[]],[[]],[]],[]] => [[],[[],[[]],[[],[[],[]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [[[[[],[]],[]],[]],[[]],[]] => [[],[[]],[[],[[],[[],[]]]]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [[],[[],[[[[]],[]],[]],[]]] => [[[],[[],[[],[[]]]],[]],[]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[[],[]],[]],[[[]],[]],[]] => [[],[[],[[]]],[[],[[],[]]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[[],[]],[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]],[[],[]]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]] => [[],[[[],[]]],[[]],[[],[]]] => [[[],[]],[[]],[[[],[]]],[]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [[],[[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]]],[]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [[],[[[],[[]],[]]],[[]],[]] => [[],[[]],[[[],[[]],[]]],[]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => [[],[[[],[[],[[]],[]]]],[]] => [[],[[[[],[[]],[]],[]]],[]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[[[.,[[.,[.,.]],.]],.],[[.,.],[[.,[.,.]],.]]]] => [[],[[[],[[],[]]]],[[]],[[],[]]] => [[[],[]],[[]],[[[[],[]],[]]],[]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [.,[[[.,[[.,.],[.,.]]],.],[[.,[[.,.],[.,.]]],.]]] => [[],[[[],[[]],[]]],[[],[[]],[]]] => [[[],[[]],[]],[[[],[[]],[]]],[]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[[.,.],[.,.]]]] => [[],[[[],[[],[[]],[]]]],[[]],[]] => [[],[[]],[[[[],[[]],[]],[]]],[]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [.,[[[.,[[.,.],[[.,[.,.]],.]]],.],[[.,[.,.]],.]]] => [[],[[[],[[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[]],[]]],[]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[.,.],[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]] => [[[]],[[[],[]]],[[],[]],[]] => [[],[[],[]],[[[],[]]],[[]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [[],[[]],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[[]],[]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]] => [[],[[]],[[]],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[[]],[[]],[]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[.,.],[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]] => [[[]],[[]],[[[],[]],[]],[]] => [[],[[],[[],[]]],[[]],[[]]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [[],[[]],[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]],[[]],[]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],[.,.]] => [[[[],[[],[],[]]],[]],[]] => [[],[[],[[[],[],[]],[]]]]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [[],[[],[[],[[],[[]],[]]]]] => [[[[[],[[]],[]],[]],[]],[]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => [[],[[],[[],[[[]],[]],[]]]] => [[[[],[[],[[]]],[]],[]],[]]
Map
to binary tree: left tree, up step, right tree, down step
Description
Return the binary tree corresponding to the Dyck path under the transformation left tree - up step - right tree - down step.
A Dyck path $D$ of semilength $n$ with $n > 1$ may be uniquely decomposed into $L 1 R 0$ for Dyck paths $L,R$ of respective semilengths $n_1,n_2$ with $n_1+n_2 = n-1$.
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.
This map may also be described as the unique map sending the Tamari orders on Dyck paths to the Tamari order on binary trees.
A Dyck path $D$ of semilength $n$ with $n > 1$ may be uniquely decomposed into $L 1 R 0$ for Dyck paths $L,R$ of respective semilengths $n_1,n_2$ with $n_1+n_2 = n-1$.
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.
This map may also be described as the unique map sending the Tamari orders on Dyck paths to the Tamari order on binary trees.
Map
to ordered tree: right child = right brother
Description
Return an ordered tree of size $n+1$ by the following recursive rule:
- if $x$ is the right child of $y$, $x$ becomes the right brother of $y$,
- if $x$ is the left child of $y$, $x$ becomes the first child of $y$.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
searching the database
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