Identifier
Mp00029:
Dyck paths
—to binary tree: left tree, up step, right tree, down step⟶
Binary trees
Mp00010: Binary trees —to ordered tree: left child = left brother⟶ Ordered trees
Mp00010: Binary trees —to ordered tree: left child = left brother⟶ 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 2555 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] => [.,[.,[[[[.,.],.],.],.]]] => [[[[],[],[],[]]]]
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[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] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[],[[[[[[]]]]]]]
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[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] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [[[],[[[]],[]]],[]]
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[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] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [[],[[],[],[],[[],[]]]]
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[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [[],[[],[],[[]]],[],[]]
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[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [[],[[[]],[[],[[]]]]]
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[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] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [[],[[[],[]],[[]],[]]]
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[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] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [[],[[[],[],[]]],[[]]]
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[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] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [[[],[[[],[[]],[]]]]]
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[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] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [[[],[[[[],[]],[]]]]]
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[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [[[],[[[[],[[]]]]]]]
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[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] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [[[],[[[[[]]],[]]]]]
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[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] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [[[[]]],[],[[]],[[]]]
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[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] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [[[[]]],[],[[[]],[]]]
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[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] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [[[[],[],[],[]],[]],[]]
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[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] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [[[[[],[],[[]]]],[]]]
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[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[],[[[[[[[[]]]]]]]]]
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[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[],[[[[[[[],[]]]]]]]]
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[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]],.] => [[[[[[[[]],[],[]]]]]],[]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]],.] => [[[[[],[[[[[]]]]]]]],[]]
[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] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [[[[[[[[]]]]]]],[[]]]
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[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] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [[[[[[[],[]]]]]],[[]]]
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[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [[[[[[[[[]]]]]]],[]],[]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [[[[[[[[[]]]]]]]],[[]]]
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[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[]],[[[[[[[[]]]]]]]]]
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[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [[],[[[[[[[[]]]]]]]],[]]
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[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[],[],[[[[[[[[]]]]]]]]]
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[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [[],[[],[],[],[],[],[],[]]]
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[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [[],[],[[[]],[],[],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [[],[],[],[[],[],[],[],[],[]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [[],[[[]],[],[],[],[],[]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [[],[],[[],[],[],[],[],[],[]]]
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[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [[],[],[],[],[],[],[],[],[],[[]]]
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[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,[[[.,.],.],.]],.],.]] => [[],[],[[[],[],[]],[],[]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]] => [[[[[]]],[],[],[],[],[],[]]]
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[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [[],[[[[]]]],[],[],[],[]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[[[.,.],[.,[.,[.,.]]]],[.,.]],.],.] => [[],[[[[]]]],[[]],[],[]]
[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] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [[],[[[[[[]]]]]],[],[]]
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[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[[[[.,[.,.]],.],.],.],[.,.]],[.,.]] => [[[]],[],[],[],[[]],[[]]]
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[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [[[]],[[[[[[]]]]]],[]]
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[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [[[[[[]]]]],[[[]]],[]]
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[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [[[[[[[]]]]]],[],[],[]]
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[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] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [[],[[]],[],[],[],[],[],[],[]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [[],[[]],[],[],[],[],[],[[]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.],.] => [[],[[[]]],[],[],[],[],[],[]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.],.] => [[],[[[[[]]]]],[],[],[],[]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [[],[[[[[[]]]]]],[],[],[]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [[],[[[[[[[]]]]]]],[[]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [[[]],[],[],[],[],[],[],[],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [[[]],[],[],[],[],[],[],[[]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]],.] => [[[]],[],[],[],[],[],[[]],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[]],[[]],[[]],[[]],[[]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [[[[]]],[],[],[],[],[],[],[]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[]]],[[[[[[[]]]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [[[[[]]]],[],[],[],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]],.] => [[[[[]]]],[[[[[]]]]],[]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [[[[[]]]],[[[[[[]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [[[[[[]]]]],[],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [[[[[[]]]]],[[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [[[[[[[]]]]]],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [[[[[[[]]]]]],[[[[]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [[[[[[[[]]]]]]],[],[],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [[[[[[[[]]]]]]],[[]],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [[[[[[[[]]]]]]],[[[]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [[[[[[[[[[[]]]]]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [[[],[]],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [[[],[],[],[],[],[]],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [[[],[],[],[],[],[],[]],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [[[],[]],[],[],[],[],[],[],[]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [[[],[[]]],[],[],[],[],[]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [[[],[],[[]]],[],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [[[],[],[],[[]]],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [[[],[],[],[],[[]]],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [[[],[],[],[],[],[[]]],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [[[],[],[],[],[],[],[],[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [[[]],[],[],[],[],[],[],[],[],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [[[]],[],[],[],[],[[],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [[[],[],[],[],[],[],[],[[]]]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [[[[[[[[[[]],[]]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [[[[[[[[[[[]],[]]]]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [[[],[]],[],[],[],[],[[]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [[[[],[]]],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [[[[[[[[[[]]]]]]]],[]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [[[[[[[[[[],[]]]]]]]]]]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [[[[[[[],[[[[]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [[[[[[[[[[[],[]]]]]]]]]]]
[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] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [[[[[[],[]]]]],[[[]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [[],[[],[],[]],[],[],[],[]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [[],[],[[],[]],[],[],[],[]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [[[]],[[],[]],[],[],[],[]]
[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] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [[[[[],[],[],[],[],[],[]]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]] => [[[[[]]]],[[[[],[]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [[[[[[[]]]]]],[[],[]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [[[[[[[[[[]]]]]]],[]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] => [[[[[[]]]]],[[[],[]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [[[[[[[[[[]]]]]],[]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [[[[[[[[[[]]]]],[]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [[[[[[[[[[]]]],[]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [[[[[[[[[[]]],[]]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],[.,.]] => [[[[[[[]]]]],[]],[[]]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[[.,[.,.]],.],.],[[[[.,.],.],.],.]] => [[[]],[],[],[[],[],[],[]]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [[[],[]],[[]],[],[],[],[]]
[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] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [[[[],[],[],[],[],[],[],[]]]]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]]] => [[[[[[[[[]]],[[]]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.] => [[[],[]],[],[],[],[],[],[],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[.,[[.,.],.]],.],.],.],[.,.]],.] => [[[],[]],[],[],[],[[]],[]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],[[[[.,.],.],.],.]] => [[[[[]]]],[[],[],[],[]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [[[[[[],[],[],[],[],[]]]]]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]]] => [[[[[[[[]],[],[],[]]]]]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.] => [[[[[[],[]]]]],[],[],[]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [[[[[],[]]]],[],[],[],[]]
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [[],[[[]],[[[[[]]]]]]]
[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] => [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [[[[[[[[[],[],[]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]] => [[[[[[[[[[],[],[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [[],[],[],[],[],[],[],[],[[]],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [[[],[],[],[],[]],[],[[]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [[[[],[]],[]],[],[],[],[]]
[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] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [[[[[[[[],[],[],[]]]]]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],.] => [[[]],[[]],[[],[[]]],[]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [[],[[],[],[],[],[],[]],[]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.] => [[],[[]],[],[],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [[[[[[[[[]]]]]]],[[]]]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [[[]],[],[[],[],[],[],[]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.] => [[[[],[]]],[],[],[],[],[],[]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.] => [[[[[[],[]]]]],[],[],[],[]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [[],[[[[[[]]]]]],[],[],[],[]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,[.,[[.,.],.]]]],.]],.],.] => [[[[[[],[]]]],[]],[],[]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.] => [[[[[[[],[]]]]]],[],[],[]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.],.] => [[[[[[[],[]]]]]],[],[],[],[]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[[.,[.,.]],.]],.],.],.],.] => [[],[[[]],[]],[],[],[],[]]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,[.,[[.,.],.]]]]] => [[],[[]],[[[[[],[]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[[[.,[.,.]],.],.],.],[[[.,.],.],.]] => [[[]],[],[],[],[[],[],[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [[[[]],[]],[[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [[[[]],[[]],[]],[[]],[[]]]
[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] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[[[]],[[]],[[]],[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [[[[]],[[]],[[]],[[]]],[]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[[.,.],[.,.]],.],.],.],.]],.] => [[[],[[]],[],[],[],[]],[]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[[.,[[.,.],.]],.],.],[[[.,.],.],.]] => [[[],[]],[],[],[[],[],[]]]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]]] => [[[[[[[[]],[[[]]]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]],.] => [[[[[[[]]]]],[[]]],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]] => [[[[[[]]]]],[[],[],[]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]] => [[[[[[[[[]]]]]]],[],[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [.,[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]] => [[[[[[[[]]]]]],[],[],[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [[[]],[[]],[[]],[[[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[]],[[]],[[[]],[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[[]],[[[]],[[]],[[]],[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]] => [[],[[]],[[]],[[],[[]],[]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],[[.,.],.]] => [[[[[[]]]]],[],[[],[]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [[[],[[]],[[]]],[[],[[]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[[[.,.],[.,.]],[.,.]],[[.,[.,.]],[.,.]]] => [[],[[]],[[]],[[[]],[[]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [[[[[]],[]],[]],[[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [[[]],[[[]],[]],[[]],[[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [[[]],[[[[]],[]],[]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [[[[]],[[[]],[]],[]],[[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [[[[[]],[[]],[]],[]],[[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [[[[[[]],[]],[]],[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[]],[[]],[[[]],[]],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[]],[]],[[[]],[]],[[]]]
[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] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[]],[[[]],[[]],[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[]],[[]],[[[[]],[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [[[[]],[]],[[[[]],[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [[[[[]],[]],[[[]],[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[[]],[[[]],[[[]],[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [[[[]],[[]],[[[]],[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [[[[[]],[[]],[[]],[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [[[[[[]],[]],[[]],[]],[]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [[[[[]],[[[]],[]],[]],[]]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [[[[[[]],[[]],[]],[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [[[]],[[[[]],[[]],[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [[[[]],[[[]],[[]],[]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [[[[[[[]],[]],[]],[]],[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[[]],[[[[[]],[]],[]],[]]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [[[[]],[[[[]],[]],[]],[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [[[[]],[]],[[]],[[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [[[[[]],[]],[]],[[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[]],[[[]],[]],[[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [[[[]],[[]],[]],[[[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[[]],[[[[]],[]],[[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [[[[]],[[[]],[]],[[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[[[[]],[[]],[]],[[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [[[[[[]],[]],[]],[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [[[[]],[]],[[[]],[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[[[[]],[]],[[]],[[]],[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[]],[[]],[[]],[[]],[[]],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[]],[]],[[]],[[]],[[]],[[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => [[[[[]],[]],[]],[[]],[[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [[[]],[[[]],[]],[[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => [[[[]],[[]],[]],[[]],[[]],[[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [[[]],[[[[]],[]],[]],[[]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [[[[]],[[[]],[]],[]],[[]],[[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => [[[[[]],[[]],[]],[]],[[]],[[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => [[[[[[]],[]],[]],[]],[[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [[[]],[[]],[[[]],[]],[[]],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [[[[]],[]],[[[]],[]],[[]],[[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [[[[[]],[]],[[]],[]],[[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [[[]],[[[]],[[]],[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => [[[[]],[[]],[[]],[]],[[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [[[]],[[]],[[[[]],[]],[]],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [[[[]],[]],[[[[]],[]],[]],[[]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => [[[[[]],[]],[[[]],[]],[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [[[]],[[[]],[[[]],[]],[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [[[[]],[[]],[[[]],[]],[]],[[]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]] => [[[[[]],[[]],[[]],[]],[]],[[]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => [[[[[[]],[]],[[]],[]],[]],[[]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]] => [[[[[]],[[[]],[]],[]],[]],[[]]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => [[[[[[]],[[]],[]],[]],[]],[[]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [[[]],[[[[]],[[]],[]],[]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [[[[]],[[[]],[[]],[]],[]],[[]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => [[[[[[[]],[]],[]],[]],[]],[[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [[[]],[[[[[]],[]],[]],[]],[[]]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [[[[]],[[[[]],[]],[]],[]],[[]]]
[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] => [[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[]],[]],[[]],[[[]],[]],[[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[[]],[]],[]],[[[]],[]],[[]]]
[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] => [[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[]],[[]],[]],[[[]],[]],[[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[[]],[[[[]],[]],[[]],[]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[[[]],[[[]],[]],[[]],[]],[[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [[[[[]],[[]],[]],[[]],[]],[[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => [[[[[[]],[]],[]],[[]],[]],[[]]]
[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] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[[]],[[]],[[]],[[]],[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[]],[[]],[[]],[[[[]],[]],[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[[]],[]],[[]],[[[[]],[]],[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [[[[[]],[]],[]],[[[[]],[]],[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [[[]],[[[]],[]],[[[[]],[]],[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [[[[]],[[]],[]],[[[[]],[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [[[]],[[[[]],[]],[[[]],[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [[[[]],[[[]],[]],[[[]],[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => [[[[[]],[[]],[]],[[[]],[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => [[[[[[]],[]],[]],[[[]],[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[[]],[[]],[[[]],[[[]],[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[[[]],[]],[[[]],[[[]],[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => [[[[[]],[]],[[]],[[[]],[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [[[]],[[[]],[[]],[[[]],[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [[[[]],[[]],[[]],[[[]],[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [[[]],[[[[]],[[]],[[]],[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [[[[]],[[[]],[[]],[[]],[]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]] => [[[[[[[]],[]],[]],[[]],[]],[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [[[]],[[[[[]],[]],[[]],[]],[]]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [[[[]],[[[[]],[]],[[]],[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [[[]],[[[[]],[[[]],[]],[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [[[[]],[[[]],[[[]],[]],[]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]] => [[[[[[[]],[]],[[]],[]],[]],[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [[[]],[[[[[]],[[]],[]],[]],[]]]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [[[[]],[[[[]],[[]],[]],[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => [[[[[]],[[]],[[]],[[]],[]],[]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => [[[[[]],[[[]],[]],[[]],[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => [[[[[[]],[]],[[]],[[]],[]],[]]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => [[[[[[]],[[]],[]],[[]],[]],[]]]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => [[[[[[[]],[[]],[]],[]],[]],[]]]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [[[[[[[[]],[]],[]],[]],[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => [[[[[]],[[]],[[[]],[]],[]],[]]]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => [[[[[]],[[[]],[[]],[]],[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => [[[[[[]],[]],[[[]],[]],[]],[]]]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => [[[[[[]],[[]],[[]],[]],[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [[[]],[[]],[[[[]],[[]],[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [[[[]],[]],[[[[]],[[]],[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]] => [[[[[]],[]],[[[]],[[]],[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [[[]],[[[]],[[[]],[[]],[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [[[[]],[[]],[[[]],[[]],[]],[]]]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [[[]],[[[[[[]],[]],[]],[]],[]]]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [[[[]],[[[[[]],[]],[]],[]],[]]]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => [[[[[]],[[[[]],[]],[]],[]],[]]]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => [[[[[[]],[[[]],[]],[]],[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[[]],[[]],[[[[[]],[]],[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[[[]],[]],[[[[[]],[]],[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => [[[[[]],[]],[[[[]],[]],[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [[[]],[[[]],[[[[]],[]],[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [[[[]],[[]],[[[[]],[]],[]],[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [[[]],[[]],[[]],[[]],[[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [[[[]],[]],[[]],[[]],[[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => [[[[[]],[]],[]],[[]],[[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [[[]],[[[]],[]],[[]],[[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [[[[]],[[]],[]],[[]],[[[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [[[]],[[[[]],[]],[]],[[[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [[[[]],[[[]],[]],[]],[[[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => [[[[[]],[[]],[]],[]],[[[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => [[[[[[]],[]],[]],[]],[[[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[]],[[]],[[[]],[]],[[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[[]],[]],[[[]],[]],[[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [[[[[]],[]],[[]],[]],[[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [[[]],[[[]],[[]],[]],[[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [[[[]],[[]],[[]],[]],[[[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[[]],[[]],[[[[]],[]],[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[[[]],[]],[[[[]],[]],[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [[[[[]],[]],[[[]],[]],[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [[[]],[[[]],[[[]],[]],[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [[[[]],[[]],[[[]],[]],[[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [[[[[]],[[]],[[]],[]],[[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => [[[[[[]],[]],[[]],[]],[[]],[]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => [[[[[]],[[[]],[]],[]],[[]],[]]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => [[[[[[]],[[]],[]],[]],[[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[[]],[[[[]],[[]],[]],[[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[[[]],[[[]],[[]],[]],[[]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => [[[[[[[]],[]],[]],[]],[[]],[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [[[]],[[[[[]],[]],[]],[[]],[]]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [[[[]],[[[[]],[]],[]],[[]],[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[]],[[]],[[]],[[[]],[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[[]],[]],[[]],[[[]],[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => [[[[[]],[]],[]],[[[]],[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [[[]],[[[]],[]],[[[]],[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [[[[]],[[]],[]],[[[]],[[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[[]],[[[[]],[]],[[]],[[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[[[]],[[[]],[]],[[]],[[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [[[[[]],[[]],[]],[[]],[[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => [[[[[[]],[]],[]],[[]],[[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[[]],[[]],[[[]],[[]],[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[[[]],[]],[[[]],[[]],[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [[[[[]],[]],[[]],[[]],[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[[]],[[[]],[[]],[[]],[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[[[]],[[]],[[]],[[]],[[]],[]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]] => [[[],[[]],[],[],[],[],[],[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [[[[[[[[]]]]]]],[[],[]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],[[[[[.,.],.],.],.],.]] => [[[[[]]]],[[],[],[],[],[]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [[[]],[[],[[]]],[[]],[[]]]
[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] => [.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [[[[],[[]],[[]],[[]]],[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]] => [[],[[]],[[]],[[],[[]]]]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[[.,.],[.,.]],[[.,.],[[.,[.,.]],.]]] => [[],[[]],[[],[[[]],[]]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[[]],[[],[[]],[[]],[[]]]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.] => [[[],[[]],[[],[[]]]],[]]
[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] => [.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => [[[[[],[[]]],[]],[],[[]]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [.,[[[.,[[.,.],[.,.]]],.],[[.,[[.,.],[.,.]]],.]]] => [[[[],[[]]],[],[[[],[[]]],[]]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[[.,.],[.,.]]]] => [[[[[],[[]]],[]],[],[[],[[]]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[[[.,.],.],.]],[[.,.],[.,.]]] => [[],[[],[],[]],[[],[[]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[.,[.,[.,.]]],[.,.]],[[.,.],[.,.]]] => [[[[]]],[[]],[[],[[]]]]
[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: left child = left brother
Description
Return an ordered tree of size $n+1$ by the following recursive rule:
- if $x$ is the left child of $y$, $x$ becomes the left brother of $y$,
- if $x$ is the right child of $y$, $x$ becomes the last child of $y$.
searching the database
Sorry, this map was not found in the database.