Identifier
Mp00026:
Dyck paths
—to ordered tree⟶
Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00050: Ordered trees —to binary tree: right brother = right child⟶ Binary trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00050: Ordered trees —to binary tree: right brother = right child⟶ Binary trees
Images
[1,0] => [[]] => [[]] => [.,.]
[1,0,1,0] => [[],[]] => [[],[]] => [.,[.,.]]
[1,1,0,0] => [[[]]] => [[[]]] => [[.,.],.]
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[1,1,0,1,0,0] => [[[],[]]] => [[[],[]]] => [[.,[.,.]],.]
[1,1,1,0,0,0] => [[[[]]]] => [[[[]]]] => [[[.,.],.],.]
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[1,0,1,0,1,1,0,0] => [[],[],[[]]] => [[[]],[],[]] => [[.,.],[.,[.,.]]]
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[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 2150 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [[],[[[[]]]],[]] => [[],[[[[]]]],[]] => [.,[[[[.,.],.],.],[.,.]]]
[1,0,1,1,1,1,0,0,0,1,0,0] => [[],[[[[]]],[]]] => [[[],[[[]]]],[]] => [[.,[[[.,.],.],.]],[.,.]]
[1,0,1,1,1,1,0,0,1,0,0,0] => [[],[[[[]],[]]]] => [[[[],[[]]]],[]] => [[[.,[[.,.],.]],.],[.,.]]
[1,0,1,1,1,1,0,1,0,0,0,0] => [[],[[[[],[]]]]] => [[[[[],[]]]],[]] => [[[[.,[.,.]],.],.],[.,.]]
[1,0,1,1,1,1,1,0,0,0,0,0] => [[],[[[[[]]]]]] => [[[[[[]]]]],[]] => [[[[[.,.],.],.],.],[.,.]]
[1,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[]] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[[]]] => [[[]],[],[],[[]]] => [[.,.],[.,[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,0,1,0] => [[[]],[],[[]],[]] => [[],[[]],[],[[]]] => [.,[[.,.],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,1,0,0] => [[[]],[],[[],[]]] => [[[],[]],[],[[]]] => [[.,[.,.]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,0,0,0] => [[[]],[],[[[]]]] => [[[[]]],[],[[]]] => [[[.,.],.],[.,[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,0,1,0] => [[[]],[[]],[],[]] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]]] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,0,1,0] => [[[]],[[],[]],[]] => [[],[[],[]],[[]]] => [.,[[.,[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,1,0,0] => [[[]],[[],[],[]]] => [[[],[],[]],[[]]] => [[.,[.,[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,0,0,0] => [[[]],[[],[[]]]] => [[[[]],[]],[[]]] => [[[.,.],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,0,1,0] => [[[]],[[[]]],[]] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[]],[]]] => [[[],[[]]],[[]]] => [[.,[[.,.],.]],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,0,0,0] => [[[]],[[[],[]]]] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,0,0,0] => [[[]],[[[[]]]]] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]]
[1,1,0,1,0,0,1,0,1,0,1,0] => [[[],[]],[],[],[]] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,0,1,1,0,0] => [[[],[]],[],[[]]] => [[[]],[],[[],[]]] => [[.,.],[.,[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,0,1,0] => [[[],[]],[[]],[]] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,1,0,0] => [[[],[]],[[],[]]] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,0,0] => [[[],[]],[[[]]]] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]]
[1,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[]],[],[]] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]]
[1,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[]],[[]]] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]]
[1,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[]],[]] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]]
[1,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[]]] => [[[],[],[],[],[]]] => [[.,[.,[.,[.,[.,.]]]]],.]
[1,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[[]]]] => [[[[]],[],[],[]]] => [[[.,.],[.,[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[[]]],[]] => [[],[[[]],[],[]]] => [.,[[[.,.],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[[]],[]]] => [[[],[[]],[],[]]] => [[.,[[.,.],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[[],[]]]] => [[[[],[]],[],[]]] => [[[.,[.,.]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[[[]]]]] => [[[[[]]],[],[]]] => [[[[.,.],.],[.,[.,.]]],.]
[1,1,0,1,1,0,0,0,1,0,1,0] => [[[],[[]]],[],[]] => [[],[],[[[]],[]]] => [.,[.,[[[.,.],[.,.]],.]]]
[1,1,0,1,1,0,0,0,1,1,0,0] => [[[],[[]]],[[]]] => [[[]],[[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]]
[1,1,0,1,1,0,0,1,0,0,1,0] => [[[],[[]],[]],[]] => [[],[[],[[]],[]]] => [.,[[.,[[.,.],[.,.]]],.]]
[1,1,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[],[]]] => [[[],[],[[]],[]]] => [[.,[.,[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]]]] => [[[[]],[[]],[]]] => [[[.,.],[[.,.],[.,.]]],.]
[1,1,0,1,1,0,1,0,0,0,1,0] => [[[],[[],[]]],[]] => [[],[[[],[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,1,0,0] => [[[],[[],[]],[]]] => [[[],[[],[]],[]]] => [[.,[[.,[.,.]],[.,.]]],.]
[1,1,0,1,1,0,1,0,1,0,0,0] => [[[],[[],[],[]]]] => [[[[],[],[]],[]]] => [[[.,[.,[.,.]]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[[],[[]]]]] => [[[[[]],[]],[]]] => [[[[.,.],[.,.]],[.,.]],.]
[1,1,0,1,1,1,0,0,0,0,1,0] => [[[],[[[]]]],[]] => [[],[[[[]]],[]]] => [.,[[[[.,.],.],[.,.]],.]]
[1,1,0,1,1,1,0,0,0,1,0,0] => [[[],[[[]]],[]]] => [[[],[[[]]],[]]] => [[.,[[[.,.],.],[.,.]]],.]
[1,1,0,1,1,1,0,0,1,0,0,0] => [[[],[[[]],[]]]] => [[[[],[[]]],[]]] => [[[.,[[.,.],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,0,0,0,0] => [[[],[[[],[]]]]] => [[[[[],[]]],[]]] => [[[[.,[.,.]],.],[.,.]],.]
[1,1,0,1,1,1,1,0,0,0,0,0] => [[[],[[[[]]]]]] => [[[[[[]]]],[]]] => [[[[[.,.],.],.],[.,.]],.]
[1,1,1,0,0,0,1,0,1,0,1,0] => [[[[]]],[],[],[]] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,0,1,1,0,0] => [[[[]]],[],[[]]] => [[[]],[],[[[]]]] => [[.,.],[.,[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,0,0,1,0] => [[[[]]],[[]],[]] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,0,1,0,0] => [[[[]]],[[],[]]] => [[[],[]],[[[]]]] => [[.,[.,.]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,0,0,0] => [[[[]]],[[[]]]] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]]
[1,1,1,0,0,1,0,0,1,0,1,0] => [[[[]],[]],[],[]] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]]
[1,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[]]] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]]
[1,1,1,0,0,1,0,1,0,0,1,0] => [[[[]],[],[]],[]] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]]
[1,1,1,0,0,1,0,1,0,1,0,0] => [[[[]],[],[],[]]] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.]
[1,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[],[[]]]] => [[[[]],[],[[]]]] => [[[.,.],[.,[[.,.],.]]],.]
[1,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]]],[]] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]]
[1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[]]] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.]
[1,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[],[]]]] => [[[[],[]],[[]]]] => [[[.,[.,.]],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[[]]]]] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.]
[1,1,1,0,1,0,0,0,1,0,1,0] => [[[[],[]]],[],[]] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]]
[1,1,1,0,1,0,0,0,1,1,0,0] => [[[[],[]]],[[]]] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]]
[1,1,1,0,1,0,0,1,0,0,1,0] => [[[[],[]],[]],[]] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,1,0,0] => [[[[],[]],[],[]]] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.]
[1,1,1,0,1,0,0,1,1,0,0,0] => [[[[],[]],[[]]]] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.]
[1,1,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[]]],[]] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]]
[1,1,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[]],[]]] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.]
[1,1,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[]]]] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.]
[1,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[[]]]]] => [[[[[]],[],[]]]] => [[[[.,.],[.,[.,.]]],.],.]
[1,1,1,0,1,1,0,0,0,0,1,0] => [[[[],[[]]]],[]] => [[],[[[[]],[]]]] => [.,[[[[.,.],[.,.]],.],.]]
[1,1,1,0,1,1,0,0,0,1,0,0] => [[[[],[[]]],[]]] => [[[],[[[]],[]]]] => [[.,[[[.,.],[.,.]],.]],.]
[1,1,1,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[]]]] => [[[[],[[]],[]]]] => [[[.,[[.,.],[.,.]]],.],.]
[1,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[[],[]]]]] => [[[[[],[]],[]]]] => [[[[.,[.,.]],[.,.]],.],.]
[1,1,1,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]]]]] => [[[[[[]]],[]]]] => [[[[[.,.],.],[.,.]],.],.]
[1,1,1,1,0,0,0,0,1,0,1,0] => [[[[[]]]],[],[]] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]]
[1,1,1,1,0,0,0,0,1,1,0,0] => [[[[[]]]],[[]]] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]]
[1,1,1,1,0,0,0,1,0,0,1,0] => [[[[[]]],[]],[]] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]]
[1,1,1,1,0,0,0,1,0,1,0,0] => [[[[[]]],[],[]]] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.]
[1,1,1,1,0,0,0,1,1,0,0,0] => [[[[[]]],[[]]]] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.]
[1,1,1,1,0,0,1,0,0,0,1,0] => [[[[[]],[]]],[]] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]]
[1,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[]]] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.]
[1,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[],[]]]] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.]
[1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]]]]] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.]
[1,1,1,1,0,1,0,0,0,0,1,0] => [[[[[],[]]]],[]] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]]
[1,1,1,1,0,1,0,0,0,1,0,0] => [[[[[],[]]],[]]] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.]
[1,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[]],[]]]] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.]
[1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.]
[1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]] => [[[[[.,.],[.,.]],.],.],.]
[1,1,1,1,1,0,0,0,0,0,1,0] => [[[[[[]]]]],[]] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[[]]]],[]]] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.]
[1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.]
[1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.]
[1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.]
[1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[]] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[]] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[]] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[]] => [.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[]] => [[[[.,.],.],.],[.,[.,[.,.]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[]] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[]] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[]] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[]] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[]] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[]] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[]] => [.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[]] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[]] => [[[.,[.,.]],[.,.]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[]] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[]] => [.,[.,[[[.,.],.],[.,[.,.]]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[]] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[]] => [.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[]] => [[[.,.],[[.,.],.]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[]] => [.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,.]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[]] => [[[[.,.],[.,.]],.],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[]] => [.,[[[[.,.],.],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[]] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[]] => [[[.,[[.,.],.]],.],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[],[],[[[[],[]]]]] => [[[[[],[]]]],[],[]] => [[[[.,[.,.]],.],.],[.,[.,.]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[]] => [[[[[.,.],.],.],.],[.,[.,.]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[]] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[]] => [.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[]] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[]] => [[[.,.],.],[.,[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[]] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[]] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[]] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[],[[]],[[],[],[]]] => [[[],[],[]],[[]],[]] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[],[[]],[[],[[]]]] => [[[[]],[]],[[]],[]] => [[[.,.],[.,.]],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[]] => [.,[[[.,.],.],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[],[[]],[[[]],[]]] => [[[],[[]]],[[]],[]] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[],[[]],[[[],[]]]] => [[[[],[]]],[[]],[]] => [[[.,[.,.]],.],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[]] => [[[[.,.],.],.],[[.,.],[.,.]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[]] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[]] => [.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[]] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[],[[],[]],[[[]]]] => [[[[]]],[[],[]],[]] => [[[.,.],.],[[.,[.,.]],[.,.]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[]] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[],[[],[],[],[[]]]] => [[[[]],[],[],[]],[]] => [[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[]] => [.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[],[[],[],[[]],[]]] => [[[],[[]],[],[]],[]] => [[.,[[.,.],[.,[.,.]]]],[.,.]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[],[[],[],[[],[]]]] => [[[[],[]],[],[]],[]] => [[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[],[[],[],[[[]]]]] => [[[[[]]],[],[]],[]] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[]] => [.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[]] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[]] => [.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[],[[],[[]],[],[]]] => [[[],[],[[]],[]],[]] => [[.,[.,[[.,.],[.,.]]]],[.,.]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[],[[],[[]],[[]]]] => [[[[]],[[]],[]],[]] => [[[.,.],[[.,.],[.,.]]],[.,.]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[],[[],[[],[]],[]]] => [[[],[[],[]],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,.]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[],[[],[[],[],[]]]] => [[[[],[],[]],[]],[]] => [[[.,[.,[.,.]]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[],[[],[[],[[]]]]] => [[[[[]],[]],[]],[]] => [[[[.,.],[.,.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[]] => [.,[[[[.,.],.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[],[[],[[[]]],[]]] => [[[],[[[]]],[]],[]] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[],[[],[[[]],[]]]] => [[[[],[[]]],[]],[]] => [[[.,[[.,.],.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[],[[],[[[],[]]]]] => [[[[[],[]]],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[]] => [[[[[.,.],.],.],[.,.]],[.,.]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[]] => [.,[.,[.,[[[.,.],.],[.,.]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[]] => [[.,.],[.,[[[.,.],.],[.,.]]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[]] => [.,[[.,.],[[[.,.],.],[.,.]]]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[],[[[]]],[[],[]]] => [[[],[]],[[[]]],[]] => [[.,[.,.]],[[[.,.],.],[.,.]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[]] => [[[.,.],.],[[[.,.],.],[.,.]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[]] => [.,[.,[[.,[[.,.],.]],[.,.]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[]] => [[.,.],[[.,[[.,.],.]],[.,.]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[]] => [.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[]] => [[.,[.,[.,[[.,.],.]]]],[.,.]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[],[[[]],[],[[]]]] => [[[[]],[],[[]]],[]] => [[[.,.],[.,[[.,.],.]]],[.,.]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[]] => [.,[[[.,.],[[.,.],.]],[.,.]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[],[[[]],[[]],[]]] => [[[],[[]],[[]]],[]] => [[.,[[.,.],[[.,.],.]]],[.,.]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[],[[[]],[[],[]]]] => [[[[],[]],[[]]],[]] => [[[.,[.,.]],[[.,.],.]],[.,.]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[],[[[]],[[[]]]]] => [[[[[]]],[[]]],[]] => [[[[.,.],.],[[.,.],.]],[.,.]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[]] => [.,[.,[[[.,[.,.]],.],[.,.]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[]] => [[.,.],[[[.,[.,.]],.],[.,.]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[]] => [.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[],[[[],[]],[],[]]] => [[[],[],[[],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],[.,.]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[],[[[],[]],[[]]]] => [[[[]],[[],[]]],[]] => [[[.,.],[[.,[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[]] => [.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[],[[[],[],[]],[]]] => [[[],[[],[],[]]],[]] => [[.,[[.,[.,[.,.]]],.]],[.,.]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[]] => [[[.,[.,[.,[.,.]]]],.],[.,.]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[],[[[],[],[[]]]]] => [[[[[]],[],[]]],[]] => [[[[.,.],[.,[.,.]]],.],[.,.]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[]] => [.,[[[[.,.],[.,.]],.],[.,.]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[],[[[],[[]]],[]]] => [[[],[[[]],[]]],[]] => [[.,[[[.,.],[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[]] => [[[.,[[.,.],[.,.]]],.],[.,.]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[],[[[],[[],[]]]]] => [[[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],.],[.,.]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[],[[[],[[[]]]]]] => [[[[[[]]],[]]],[]] => [[[[[.,.],.],[.,.]],.],[.,.]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[]] => [.,[.,[[[[.,.],.],.],[.,.]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[]] => [[.,.],[[[[.,.],.],.],[.,.]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[]] => [.,[[.,[[[.,.],.],.]],[.,.]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[],[[[[]]],[],[]]] => [[[],[],[[[]]]],[]] => [[.,[.,[[[.,.],.],.]]],[.,.]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[],[[[[]]],[[]]]] => [[[[]],[[[]]]],[]] => [[[.,.],[[[.,.],.],.]],[.,.]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[]] => [.,[[[.,[[.,.],.]],.],[.,.]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[],[[[[]],[]],[]]] => [[[],[[],[[]]]],[]] => [[.,[[.,[[.,.],.]],.]],[.,.]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[],[[[[]],[],[]]]] => [[[[],[],[[]]]],[]] => [[[.,[.,[[.,.],.]]],.],[.,.]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[]] => [[[[.,.],[[.,.],.]],.],[.,.]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[]] => [.,[[[[.,[.,.]],.],.],[.,.]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[],[[[[],[]]],[]]] => [[[],[[[],[]]]],[]] => [[.,[[[.,[.,.]],.],.]],[.,.]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[],[[[[],[]],[]]]] => [[[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],.]],.],[.,.]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[]] => [[[[.,[.,[.,.]]],.],.],[.,.]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[],[[[[],[[]]]]]] => [[[[[[]],[]]]],[]] => [[[[[.,.],[.,.]],.],.],[.,.]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[]] => [.,[[[[[.,.],.],.],.],[.,.]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[],[[[[[]]]],[]]] => [[[],[[[[]]]]],[]] => [[.,[[[[.,.],.],.],.]],[.,.]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[],[[[[[]]],[]]]] => [[[[],[[[]]]]],[]] => [[[.,[[[.,.],.],.]],.],[.,.]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[],[[[[[]],[]]]]] => [[[[[],[[]]]]],[]] => [[[[.,[[.,.],.]],.],.],[.,.]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[]] => [[[[[.,[.,.]],.],.],.],[.,.]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[]] => [[[[[[.,.],.],.],.],.],[.,.]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]]] => [[[.,.],.],[.,[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]]] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[]],[],[[],[[]]]] => [[[[]],[]],[],[[]]] => [[[.,.],[.,.]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]]] => [.,[[[.,.],.],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[]],[],[[[]],[]]] => [[[],[[]]],[],[[]]] => [[.,[[.,.],.]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[]],[],[[[],[]]]] => [[[[],[]]],[],[[]]] => [[[.,[.,.]],.],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[]],[],[[[[]]]]] => [[[[[]]]],[],[[]]] => [[[[.,.],.],.],[.,[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]]] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]]] => [.,[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]]] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]]] => [[[.,.],.],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]]] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[[]],[[],[],[[]]]] => [[[[]],[],[]],[[]]] => [[[.,.],[.,[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]]] => [.,[[[.,.],[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[[]],[[],[[]],[]]] => [[[],[[]],[]],[[]]] => [[.,[[.,.],[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[]],[[],[[],[]]]] => [[[[],[]],[]],[[]]] => [[[.,[.,.]],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[]],[[],[[[]]]]] => [[[[[]]],[]],[[]]] => [[[[.,.],.],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]]] => [.,[.,[[[.,.],.],[[.,.],.]]]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]]] => [[.,.],[[[.,.],.],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]]] => [.,[[.,[[.,.],.]],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[[]],[[[]],[],[]]] => [[[],[],[[]]],[[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[[]],[[[]],[[]]]] => [[[[]],[[]]],[[]]] => [[[.,.],[[.,.],.]],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]]] => [.,[[[.,[.,.]],.],[[.,.],.]]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[]],[[[],[]],[]]] => [[[],[[],[]]],[[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[[]],[[[],[],[]]]] => [[[[],[],[]]],[[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[[]],[[[],[[]]]]] => [[[[[]],[]]],[[]]] => [[[[.,.],[.,.]],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]]] => [.,[[[[.,.],.],.],[[.,.],.]]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[[]],[[[[]]],[]]] => [[[],[[[]]]],[[]]] => [[.,[[[.,.],.],.]],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[[]],[[[[]],[]]]] => [[[[],[[]]]],[[]]] => [[[.,[[.,.],.]],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[[]],[[[[],[]]]]] => [[[[[],[]]]],[[]]] => [[[[.,[.,.]],.],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]]] => [[[[[.,.],.],.],.],[[.,.],.]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[],[]],[],[[],[]]] => [[[],[]],[],[[],[]]] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[],[]],[],[[[]]]] => [[[[]]],[],[[],[]]] => [[[.,.],.],[.,[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]]] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[[],[]],[[],[],[]]] => [[[],[],[]],[[],[]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[[],[]],[[],[[]]]] => [[[[]],[]],[[],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]]] => [.,[[[.,.],.],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[[],[]],[[[]],[]]] => [[[],[[]]],[[],[]]] => [[.,[[.,.],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[[],[]],[[[],[]]]] => [[[[],[]]],[[],[]]] => [[[.,[.,.]],.],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[[],[],[]],[[],[]]] => [[[],[]],[[],[],[]]] => [[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[[]]]] => [[[[]],[],[],[],[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[],[[]],[]]] => [[[],[[]],[],[],[]]] => [[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[],[[],[]]]] => [[[[],[]],[],[],[]]] => [[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[],[[[]]]]] => [[[[[]]],[],[],[]]] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]]] => [[.,.],[[[.,.],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[[],[],[[]],[],[]]] => [[[],[],[[]],[],[]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[[],[],[[]],[[]]]] => [[[[]],[[]],[],[]]] => [[[.,.],[[.,.],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[[],[],[[],[]],[]]] => [[[],[[],[]],[],[]]] => [[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[[],[],[[],[],[]]]] => [[[[],[],[]],[],[]]] => [[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[[],[],[[],[[]]]]] => [[[[[]],[]],[],[]]] => [[[[.,.],[.,.]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]]] => [.,[[[[.,.],.],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[[],[],[[[]]],[]]] => [[[],[[[]]],[],[]]] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[[],[],[[[]],[]]]] => [[[[],[[]]],[],[]]] => [[[.,[[.,.],.]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[[],[],[[[],[]]]]] => [[[[[],[]]],[],[]]] => [[[[.,[.,.]],.],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[[],[],[[[[]]]]]] => [[[[[[]]]],[],[]]] => [[[[[.,.],.],.],[.,[.,.]]],.]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]]] => [[.,.],[.,[[[.,.],[.,.]],.]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]]] => [.,[[.,.],[[[.,.],[.,.]],.]]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]]] => [[.,[.,.]],[[[.,.],[.,.]],.]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]]] => [[[.,.],.],[[[.,.],[.,.]],.]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],.]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[[],[[]],[],[],[]]] => [[[],[],[],[[]],[]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[[],[[]],[],[[]]]] => [[[[]],[],[[]],[]]] => [[[.,.],[.,[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],.]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[[],[[]],[[]],[]]] => [[[],[[]],[[]],[]]] => [[.,[[.,.],[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[[],[[]],[[],[]]]] => [[[[],[]],[[]],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],.]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[[],[[]],[[[]]]]] => [[[[[]]],[[]],[]]] => [[[[.,.],.],[[.,.],[.,.]]],.]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]]] => [[.,.],[[[.,[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[],[[],[]],[],[]]] => [[[],[],[[],[]],[]]] => [[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[[],[[],[]],[[]]]] => [[[[]],[[],[]],[]]] => [[[.,.],[[.,[.,.]],[.,.]]],.]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[[],[[],[],[]],[]]] => [[[],[[],[],[]],[]]] => [[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[[],[[],[],[],[]]]] => [[[[],[],[],[]],[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[[],[[],[],[[]]]]] => [[[[[]],[],[]],[]]] => [[[[.,.],[.,[.,.]]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[[],[[],[[]]],[]]] => [[[],[[[]],[]],[]]] => [[.,[[[.,.],[.,.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[[],[[],[[]],[]]]] => [[[[],[[]],[]],[]]] => [[[.,[[.,.],[.,.]]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]]] => [[[[.,[.,.]],[.,.]],[.,.]],.]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[[],[[],[[[]]]]]] => [[[[[[]]],[]],[]]] => [[[[[.,.],.],[.,.]],[.,.]],.]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]]] => [.,[.,[[[[.,.],.],[.,.]],.]]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]]] => [[.,.],[[[[.,.],.],[.,.]],.]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],.]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[[],[[[]]],[],[]]] => [[[],[],[[[]]],[]]] => [[.,[.,[[[.,.],.],[.,.]]]],.]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[[],[[[]]],[[]]]] => [[[[]],[[[]]],[]]] => [[[.,.],[[[.,.],.],[.,.]]],.]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]]] => [.,[[[.,[[.,.],.]],[.,.]],.]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[[],[[[]],[]],[]]] => [[[],[[],[[]]],[]]] => [[.,[[.,[[.,.],.]],[.,.]]],.]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[[],[[[]],[],[]]]] => [[[[],[],[[]]],[]]] => [[[.,[.,[[.,.],.]]],[.,.]],.]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[[],[[[]],[[]]]]] => [[[[[]],[[]]],[]]] => [[[[.,.],[[.,.],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]]] => [.,[[[[.,[.,.]],.],[.,.]],.]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[[],[[[],[]]],[]]] => [[[],[[[],[]]],[]]] => [[.,[[[.,[.,.]],.],[.,.]]],.]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]]] => [[[.,[[.,[.,.]],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[[],[[[],[],[]]]]] => [[[[[],[],[]]],[]]] => [[[[.,[.,[.,.]]],.],[.,.]],.]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[[],[[[],[[]]]]]] => [[[[[[]],[]]],[]]] => [[[[[.,.],[.,.]],.],[.,.]],.]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]]] => [.,[[[[[.,.],.],.],[.,.]],.]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[[],[[[[]]]],[]]] => [[[],[[[[]]]],[]]] => [[.,[[[[.,.],.],.],[.,.]]],.]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[[],[[[[]]],[]]]] => [[[[],[[[]]]],[]]] => [[[.,[[[.,.],.],.]],[.,.]],.]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[[],[[[[]],[]]]]] => [[[[[],[[]]]],[]]] => [[[[.,[[.,.],.]],.],[.,.]],.]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[[],[[[[],[]]]]]] => [[[[[[],[]]]],[]]] => [[[[[.,[.,.]],.],.],[.,.]],.]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]]] => [[[[[[.,.],.],.],.],[.,.]],.]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[]]],[],[[],[]]] => [[[],[]],[],[[[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]]] => [[[.,.],.],[.,[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]]] => [[.,.],[[.,.],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[[]]],[[],[],[]]] => [[[],[],[]],[[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]]] => [[[.,.],[.,.]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]]] => [.,[[[.,.],.],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]]] => [[.,[[.,.],.]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[[]]],[[[],[]]]] => [[[[],[]]],[[[]]]] => [[[.,[.,.]],.],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[[]]],[[[[]]]]] => [[[[[]]]],[[[]]]] => [[[[.,.],.],.],[[[.,.],.],.]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[]],[]],[[],[]]] => [[[],[]],[[],[[]]]] => [[.,[.,.]],[[.,[[.,.],.]],.]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[[]],[]],[[[]]]] => [[[[]]],[[],[[]]]] => [[[.,.],.],[[.,[[.,.],.]],.]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],.]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]]] => [[[.,.],[.,[.,[[.,.],.]]]],.]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]]] => [.,[[[.,.],[.,[[.,.],.]]],.]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]]] => [[.,[[.,.],[.,[[.,.],.]]]],.]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[[]],[],[[],[]]]] => [[[[],[]],[],[[]]]] => [[[.,[.,.]],[.,[[.,.],.]]],.]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]]] => [[[[.,.],.],[.,[[.,.],.]]],.]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]]] => [[.,.],[[[.,.],[[.,.],.]],.]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]]] => [.,[[.,[[.,.],[[.,.],.]]],.]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[[[]],[[]],[],[]]] => [[[],[],[[]],[[]]]] => [[.,[.,[[.,.],[[.,.],.]]]],.]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]]] => [[[.,.],[[.,.],[[.,.],.]]],.]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]]] => [.,[[[.,[.,.]],[[.,.],.]],.]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[]],[[],[]],[]]] => [[[],[[],[]],[[]]]] => [[.,[[.,[.,.]],[[.,.],.]]],.]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]]] => [[[.,[.,[.,.]]],[[.,.],.]],.]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[]],[[],[[]]]]] => [[[[[]],[]],[[]]]] => [[[[.,.],[.,.]],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]]] => [.,[[[[.,.],.],[[.,.],.]],.]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[]],[[[]]],[]]] => [[[],[[[]]],[[]]]] => [[.,[[[.,.],.],[[.,.],.]]],.]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[[[]],[[[]],[]]]] => [[[[],[[]]],[[]]]] => [[[.,[[.,.],.]],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]]] => [[[[.,[.,.]],.],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]]] => [[[[[.,.],.],.],[[.,.],.]],.]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]]] => [[.,.],[.,[[[.,[.,.]],.],.]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]]] => [.,[[.,.],[[[.,[.,.]],.],.]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[]]],[[],[]]] => [[[],[]],[[[],[]]]] => [[.,[.,.]],[[[.,[.,.]],.],.]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[[[],[]]],[[[]]]] => [[[[]]],[[[],[]]]] => [[[.,.],.],[[[.,[.,.]],.],.]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]]] => [[.,.],[[.,[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]]] => [[[.,.],[.,[[.,[.,.]],.]]],.]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]]] => [.,[[[.,.],[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[[[],[]],[[]],[]]] => [[[],[[]],[[],[]]]] => [[.,[[.,.],[[.,[.,.]],.]]],.]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]]] => [[[.,[.,.]],[[.,[.,.]],.]],.]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[],[]],[[[]]]]] => [[[[[]]],[[],[]]]] => [[[[.,.],.],[[.,[.,.]],.]],.]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]]] => [[.,.],[[[.,[.,[.,.]]],.],.]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[[],[],[]],[],[]]] => [[[],[],[[],[],[]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[[[],[],[]],[[]]]] => [[[[]],[[],[],[]]]] => [[[.,.],[[.,[.,[.,.]]],.]],.]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[],[]],[]]] => [[[],[[],[],[],[]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[]]]] => [[[[],[],[],[],[]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[],[[]]]]] => [[[[[]],[],[],[]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]]] => [.,[[[[.,.],[.,[.,.]]],.],.]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[[[],[],[[]]],[]]] => [[[],[[[]],[],[]]]] => [[.,[[[.,.],[.,[.,.]]],.]],.]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[[[],[],[[]],[]]]] => [[[[],[[]],[],[]]]] => [[[.,[[.,.],[.,[.,.]]]],.],.]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[[],[],[[],[]]]]] => [[[[[],[]],[],[]]]] => [[[[.,[.,.]],[.,[.,.]]],.],.]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[[[],[],[[[]]]]]] => [[[[[[]]],[],[]]]] => [[[[[.,.],.],[.,[.,.]]],.],.]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]]] => [[.,.],[[[[.,.],[.,.]],.],.]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]]] => [.,[[.,[[[.,.],[.,.]],.]],.]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[[],[[]]],[],[]]] => [[[],[],[[[]],[]]]] => [[.,[.,[[[.,.],[.,.]],.]]],.]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[[],[[]]],[[]]]] => [[[[]],[[[]],[]]]] => [[[.,.],[[[.,.],[.,.]],.]],.]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]]] => [.,[[[.,[[.,.],[.,.]]],.],.]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[[[],[[]],[]],[]]] => [[[],[[],[[]],[]]]] => [[.,[[.,[[.,.],[.,.]]],.]],.]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[[[],[[]],[],[]]]] => [[[[],[],[[]],[]]]] => [[[.,[.,[[.,.],[.,.]]]],.],.]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[[],[[]],[[]]]]] => [[[[[]],[[]],[]]]] => [[[[.,.],[[.,.],[.,.]]],.],.]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]]] => [.,[[[[.,[.,.]],[.,.]],.],.]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]]] => [[.,[[[.,[.,.]],[.,.]],.]],.]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[[],[[],[]],[]]]] => [[[[],[[],[]],[]]]] => [[[.,[[.,[.,.]],[.,.]]],.],.]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[[],[[],[],[]]]]] => [[[[[],[],[]],[]]]] => [[[[.,[.,[.,.]]],[.,.]],.],.]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[[],[[],[[]]]]]] => [[[[[[]],[]],[]]]] => [[[[[.,.],[.,.]],[.,.]],.],.]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]]] => [.,[[[[[.,.],.],[.,.]],.],.]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[[],[[[]]]],[]]] => [[[],[[[[]]],[]]]] => [[.,[[[[.,.],.],[.,.]],.]],.]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[[[],[[[]]],[]]]] => [[[[],[[[]]],[]]]] => [[[.,[[[.,.],.],[.,.]]],.],.]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[[],[[[]],[]]]]] => [[[[[],[[]]],[]]]] => [[[[.,[[.,.],.]],[.,.]],.],.]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[[[],[[[],[]]]]]] => [[[[[[],[]]],[]]]] => [[[[[.,[.,.]],.],[.,.]],.],.]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[[[],[[[[]]]]]]] => [[[[[[[]]]],[]]]] => [[[[[[.,.],.],.],[.,.]],.],.]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]]] => [[.,.],[.,[[[[.,.],.],.],.]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]]] => [.,[[.,.],[[[[.,.],.],.],.]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[[[]]]],[[],[]]] => [[[],[]],[[[[]]]]] => [[.,[.,.]],[[[[.,.],.],.],.]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[[]]]],[[[]]]] => [[[[]]],[[[[]]]]] => [[[.,.],.],[[[[.,.],.],.],.]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]]] => [[.,.],[[.,[[[.,.],.],.]],.]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]]] => [[[.,.],[.,[[[.,.],.],.]]],.]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]]] => [.,[[[.,.],[[[.,.],.],.]],.]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]]] => [[.,[[.,.],[[[.,.],.],.]]],.]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[[]]],[[],[]]]] => [[[[],[]],[[[]]]]] => [[[.,[.,.]],[[[.,.],.],.]],.]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[[[]]],[[[]]]]] => [[[[[]]],[[[]]]]] => [[[[.,.],.],[[[.,.],.],.]],.]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]]] => [[.,.],[[[.,[[.,.],.]],.],.]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]]] => [.,[[.,[[.,[[.,.],.]],.]],.]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[[[]],[]],[],[]]] => [[[],[],[[],[[]]]]] => [[.,[.,[[.,[[.,.],.]],.]]],.]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[[[[]],[]],[[]]]] => [[[[]],[[],[[]]]]] => [[[.,.],[[.,[[.,.],.]],.]],.]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]]] => [.,[[[.,[.,[[.,.],.]]],.],.]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[[[]],[],[]],[]]] => [[[],[[],[],[[]]]]] => [[.,[[.,[.,[[.,.],.]]],.]],.]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[[[]],[],[],[]]]] => [[[[],[],[],[[]]]]] => [[[.,[.,[.,[[.,.],.]]]],.],.]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[[[[]],[],[[]]]]] => [[[[[]],[],[[]]]]] => [[[[.,.],[.,[[.,.],.]]],.],.]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]]] => [.,[[[[.,.],[[.,.],.]],.],.]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[[[[]],[[]]],[]]] => [[[],[[[]],[[]]]]] => [[.,[[[.,.],[[.,.],.]],.]],.]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[[[[]],[[]],[]]]] => [[[[],[[]],[[]]]]] => [[[.,[[.,.],[[.,.],.]]],.],.]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[[[[]],[[],[]]]]] => [[[[[],[]],[[]]]]] => [[[[.,[.,.]],[[.,.],.]],.],.]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[[]],[[[]]]]]] => [[[[[[]]],[[]]]]] => [[[[[.,.],.],[[.,.],.]],.],.]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]]] => [[.,.],[[[[.,[.,.]],.],.],.]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]]] => [.,[[.,[[[.,[.,.]],.],.]],.]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[[],[]]],[],[]]] => [[[],[],[[[],[]]]]] => [[.,[.,[[[.,[.,.]],.],.]]],.]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[[[[],[]]],[[]]]] => [[[[]],[[[],[]]]]] => [[[.,.],[[[.,[.,.]],.],.]],.]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]]] => [.,[[[.,[[.,[.,.]],.]],.],.]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]]] => [[.,[[.,[[.,[.,.]],.]],.]],.]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[[[[],[]],[],[]]]] => [[[[],[],[[],[]]]]] => [[[.,[.,[[.,[.,.]],.]]],.],.]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[[],[]],[[]]]]] => [[[[[]],[[],[]]]]] => [[[[.,.],[[.,[.,.]],.]],.],.]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]]] => [.,[[[[.,[.,[.,.]]],.],.],.]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[[],[],[]]],[]]] => [[[],[[[],[],[]]]]] => [[.,[[[.,[.,[.,.]]],.],.]],.]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[[[],[],[]],[]]]] => [[[[],[[],[],[]]]]] => [[[.,[[.,[.,[.,.]]],.]],.],.]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[]]]]] => [[[[[],[],[],[]]]]] => [[[[.,[.,[.,[.,.]]]],.],.],.]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[[[[],[],[[]]]]]] => [[[[[[]],[],[]]]]] => [[[[[.,.],[.,[.,.]]],.],.],.]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]]] => [.,[[[[[.,.],[.,.]],.],.],.]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[[[[],[[]]]],[]]] => [[[],[[[[]],[]]]]] => [[.,[[[[.,.],[.,.]],.],.]],.]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[[],[[]]],[]]]] => [[[[],[[[]],[]]]]] => [[[.,[[[.,.],[.,.]],.]],.],.]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]]] => [[[[.,[[.,.],[.,.]]],.],.],.]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[[],[[],[]]]]]] => [[[[[[],[]],[]]]]] => [[[[[.,[.,.]],[.,.]],.],.],.]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[[[],[[[]]]]]]] => [[[[[[[]]],[]]]]] => [[[[[[.,.],.],[.,.]],.],.],.]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]]] => [.,[.,[[[[[.,.],.],.],.],.]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]]] => [[.,.],[[[[[.,.],.],.],.],.]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]]] => [.,[[.,[[[[.,.],.],.],.]],.]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[[[[[]]]],[],[]]] => [[[],[],[[[[]]]]]] => [[.,[.,[[[[.,.],.],.],.]]],.]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[[[[[]]]],[[]]]] => [[[[]],[[[[]]]]]] => [[[.,.],[[[[.,.],.],.],.]],.]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]]] => [.,[[[.,[[[.,.],.],.]],.],.]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[[[[]]],[]],[]]] => [[[],[[],[[[]]]]]] => [[.,[[.,[[[.,.],.],.]],.]],.]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[[[[[]]],[],[]]]] => [[[[],[],[[[]]]]]] => [[[.,[.,[[[.,.],.],.]]],.],.]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]]] => [[[[.,.],[[[.,.],.],.]],.],.]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]]] => [.,[[[[.,[[.,.],.]],.],.],.]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]]] => [[.,[[[.,[[.,.],.]],.],.]],.]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[[[[[]],[]],[]]]] => [[[[],[[],[[]]]]]] => [[[.,[[.,[[.,.],.]],.]],.],.]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[[[[[]],[],[]]]]] => [[[[[],[],[[]]]]]] => [[[[.,[.,[[.,.],.]]],.],.],.]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]]] => [[[[[.,.],[[.,.],.]],.],.],.]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]]] => [.,[[[[[.,[.,.]],.],.],.],.]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[[[[[],[]]]],[]]] => [[[],[[[[],[]]]]]] => [[.,[[[[.,[.,.]],.],.],.]],.]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[[[[[],[]]],[]]]] => [[[[],[[[],[]]]]]] => [[[.,[[[.,[.,.]],.],.]],.],.]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[[[[],[]],[]]]]] => [[[[[],[[],[]]]]]] => [[[[.,[[.,[.,.]],.]],.],.],.]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[]]]]]] => [[[[[[],[],[]]]]]] => [[[[[.,[.,[.,.]]],.],.],.],.]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[[[[[],[[]]]]]]] => [[[[[[[]],[]]]]]] => [[[[[[.,.],[.,.]],.],.],.],.]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]]] => [.,[[[[[[.,.],.],.],.],.],.]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[[[[[]]]]],[]]] => [[[],[[[[[]]]]]]] => [[.,[[[[[.,.],.],.],.],.]],.]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]]] => [[[.,[[[[.,.],.],.],.]],.],.]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[[[[[[]]],[]]]]] => [[[[[],[[[]]]]]]] => [[[[.,[[[.,.],.],.]],.],.],.]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[[[[[[]],[]]]]]] => [[[[[[],[[]]]]]]] => [[[[[.,[[.,.],.]],.],.],.],.]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[[[[],[]]]]]]] => [[[[[[[],[]]]]]]] => [[[[[[.,[.,.]],.],.],.],.],.]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]]] => [[[[[[[.,.],.],.],.],.],.],.]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[],[]] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[],[]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[],[]] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[],[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[],[]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[],[]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[],[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[],[]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[],[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[],[]] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[],[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[],[]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[],[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[],[]] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[],[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[],[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[],[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[],[]] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[],[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[],[]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[],[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[],[]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[],[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[],[]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[],[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[],[]] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[],[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[],[]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[],[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[],[]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[],[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[],[]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[],[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[],[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[],[]] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[],[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[],[]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[],[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[],[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[],[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[],[]] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[],[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[],[]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[],[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[],[]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[],[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[],[]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[],[],[],[[[[],[]]]]] => [[[[[],[]]]],[],[],[]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[],[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[],[]] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[],[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[],[]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[],[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[],[]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[],[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[],[]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[],[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[],[]] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[],[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[],[]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[],[]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[],[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[],[]] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[],[],[[]],[[],[],[]]] => [[[],[],[]],[[]],[],[]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[],[],[[]],[[],[[]]]] => [[[[]],[]],[[]],[],[]] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[],[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[],[]] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[],[],[[]],[[[]],[]]] => [[[],[[]]],[[]],[],[]] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[],[],[[]],[[[],[]]]] => [[[[],[]]],[[]],[],[]] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[],[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[],[]] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[],[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[],[]] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[],[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[],[]] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[],[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[],[]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[],[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[],[]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[],[],[[],[]],[[[]]]] => [[[[]]],[[],[]],[],[]] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[],[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[],[]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[],[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[],[]] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[],[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[],[]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[],[],[[],[],[],[[]]]] => [[[[]],[],[],[]],[],[]] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[],[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[],[]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[],[],[[],[],[[]],[]]] => [[[],[[]],[],[]],[],[]] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[],[],[[],[],[[],[]]]] => [[[[],[]],[],[]],[],[]] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[],[],[[],[],[[[]]]]] => [[[[[]]],[],[]],[],[]] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[],[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[],[]] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[],[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[],[]] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[],[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[],[]] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[],[],[[],[[]],[],[]]] => [[[],[],[[]],[]],[],[]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[],[],[[],[[]],[[]]]] => [[[[]],[[]],[]],[],[]] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[],[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[],[]] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[],[],[[],[[],[]],[]]] => [[[],[[],[]],[]],[],[]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[],[],[[],[[],[],[]]]] => [[[[],[],[]],[]],[],[]] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[],[],[[],[[],[[]]]]] => [[[[[]],[]],[]],[],[]] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[],[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[],[]] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[],[],[[],[[[]]],[]]] => [[[],[[[]]],[]],[],[]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[],[],[[],[[[]],[]]]] => [[[[],[[]]],[]],[],[]] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[],[],[[],[[[],[]]]]] => [[[[[],[]]],[]],[],[]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[],[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[],[]] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[],[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[],[]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[],[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[],[]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[],[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[],[]] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[],[],[[[]]],[[],[]]] => [[[],[]],[[[]]],[],[]] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[],[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[],[]] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[],[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[],[]] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[],[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[],[]] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[],[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[],[]] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[],[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[],[]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[],[],[[[]],[],[[]]]] => [[[[]],[],[[]]],[],[]] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[],[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[],[]] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[],[],[[[]],[[]],[]]] => [[[],[[]],[[]]],[],[]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[],[],[[[]],[[],[]]]] => [[[[],[]],[[]]],[],[]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[],[],[[[]],[[[]]]]] => [[[[[]]],[[]]],[],[]] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[],[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[],[]] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[],[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[],[]] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[],[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[],[]] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[],[],[[[],[]],[],[]]] => [[[],[],[[],[]]],[],[]] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[],[],[[[],[]],[[]]]] => [[[[]],[[],[]]],[],[]] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[],[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[],[]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[],[],[[[],[],[]],[]]] => [[[],[[],[],[]]],[],[]] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[],[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[],[]] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[],[],[[[],[],[[]]]]] => [[[[[]],[],[]]],[],[]] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[],[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[],[]] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[],[],[[[],[[]]],[]]] => [[[],[[[]],[]]],[],[]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[],[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[],[]] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[],[],[[[],[[],[]]]]] => [[[[[],[]],[]]],[],[]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[],[],[[[],[[[]]]]]] => [[[[[[]]],[]]],[],[]] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[],[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[],[]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[],[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[],[]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[],[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[],[]] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[],[],[[[[]]],[],[]]] => [[[],[],[[[]]]],[],[]] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[],[],[[[[]]],[[]]]] => [[[[]],[[[]]]],[],[]] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[],[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[],[]] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[],[],[[[[]],[]],[]]] => [[[],[[],[[]]]],[],[]] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[],[],[[[[]],[],[]]]] => [[[[],[],[[]]]],[],[]] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[],[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[],[]] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[],[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[],[]] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[],[],[[[[],[]]],[]]] => [[[],[[[],[]]]],[],[]] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[],[],[[[[],[]],[]]]] => [[[[],[[],[]]]],[],[]] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[],[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[],[]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[],[],[[[[],[[]]]]]] => [[[[[[]],[]]]],[],[]] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[],[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[],[]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[],[],[[[[[]]]],[]]] => [[[],[[[[]]]]],[],[]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[],[],[[[[[]]],[]]]] => [[[[],[[[]]]]],[],[]] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[],[],[[[[[]],[]]]]] => [[[[[],[[]]]]],[],[]] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[],[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[],[]] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[],[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[],[]] => [[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[],[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]],[]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[],[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]],[]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[],[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]],[]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[],[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]],[]] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[],[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]],[]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[],[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]],[]] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[],[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]],[]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[],[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]],[]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[],[[]],[],[[],[[]]]] => [[[[]],[]],[],[[]],[]] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[],[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]],[]] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[],[[]],[],[[[]],[]]] => [[[],[[]]],[],[[]],[]] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[],[[]],[],[[[],[]]]] => [[[[],[]]],[],[[]],[]] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[],[[]],[],[[[[]]]]] => [[[[[]]]],[],[[]],[]] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[],[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]],[]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[],[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]],[]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[],[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]],[]] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[],[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]],[]] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[],[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]],[]] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[],[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]],[]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[],[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]],[]] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[],[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]],[]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[],[[]],[[],[],[[]]]] => [[[[]],[],[]],[[]],[]] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[],[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]],[]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[],[[]],[[],[[]],[]]] => [[[],[[]],[]],[[]],[]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[],[[]],[[],[[],[]]]] => [[[[],[]],[]],[[]],[]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[],[[]],[[],[[[]]]]] => [[[[[]]],[]],[[]],[]] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[],[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]],[]] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[],[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]],[]] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[],[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]],[]] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[],[[]],[[[]],[],[]]] => [[[],[],[[]]],[[]],[]] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[],[[]],[[[]],[[]]]] => [[[[]],[[]]],[[]],[]] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[],[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]],[]] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[]],[[[],[]],[]]] => [[[],[[],[]]],[[]],[]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[],[[]],[[[],[],[]]]] => [[[[],[],[]]],[[]],[]] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[],[[]],[[[],[[]]]]] => [[[[[]],[]]],[[]],[]] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[],[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]],[]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[],[[]],[[[[]]],[]]] => [[[],[[[]]]],[[]],[]] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[],[[]],[[[[]],[]]]] => [[[[],[[]]]],[[]],[]] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[],[[]],[[[[],[]]]]] => [[[[[],[]]]],[[]],[]] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[],[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]],[]] => [[[[[.,.],.],.],.],[[.,.],[.,.]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]],[]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[],[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]],[]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[],[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]],[]] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[],[[],[]],[],[[],[]]] => [[[],[]],[],[[],[]],[]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[],[[],[]],[],[[[]]]] => [[[[]]],[],[[],[]],[]] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[],[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]],[]] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[],[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]],[]] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[],[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]],[]] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[],[[],[]],[[],[],[]]] => [[[],[],[]],[[],[]],[]] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[],[[],[]],[[],[[]]]] => [[[[]],[]],[[],[]],[]] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[],[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]],[]] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[],[[],[]],[[[]],[]]] => [[[],[[]]],[[],[]],[]] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[],[[],[]],[[[],[]]]] => [[[[],[]]],[[],[]],[]] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[],[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]],[]] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[],[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]],[]] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[],[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]],[]] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[],[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]],[]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[],[[],[],[]],[[],[]]] => [[[],[]],[[],[],[]],[]] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[],[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]],[]] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[],[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]],[]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[],[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]],[]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[],[[],[],[],[],[[]]]] => [[[[]],[],[],[],[]],[]] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[],[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]],[]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[],[[],[],[],[[]],[]]] => [[[],[[]],[],[],[]],[]] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[],[[],[],[],[[],[]]]] => [[[[],[]],[],[],[]],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[],[[],[],[],[[[]]]]] => [[[[[]]],[],[],[]],[]] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[],[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]],[]] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[],[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]],[]] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[],[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]],[]] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[],[[],[],[[]],[],[]]] => [[[],[],[[]],[],[]],[]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[],[[],[],[[]],[[]]]] => [[[[]],[[]],[],[]],[]] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[],[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]],[]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[],[[],[],[[],[]],[]]] => [[[],[[],[]],[],[]],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[],[[],[],[[],[],[]]]] => [[[[],[],[]],[],[]],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[],[[],[],[[],[[]]]]] => [[[[[]],[]],[],[]],[]] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[],[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]],[]] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[],[[],[],[[[]]],[]]] => [[[],[[[]]],[],[]],[]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[],[[],[],[[[]],[]]]] => [[[[],[[]]],[],[]],[]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[],[[],[],[[[],[]]]]] => [[[[[],[]]],[],[]],[]] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[],[[],[],[[[[]]]]]] => [[[[[[]]]],[],[]],[]] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[],[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]],[]] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[],[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]],[]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[],[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]],[]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[],[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]],[]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[],[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]],[]] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[],[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]],[]] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[],[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]],[]] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[],[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]],[]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[],[[],[[]],[],[],[]]] => [[[],[],[],[[]],[]],[]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[],[[],[[]],[],[[]]]] => [[[[]],[],[[]],[]],[]] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[],[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]],[]] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[],[[],[[]],[[]],[]]] => [[[],[[]],[[]],[]],[]] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[],[[],[[]],[[],[]]]] => [[[[],[]],[[]],[]],[]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[],[[],[[]],[[[]]]]] => [[[[[]]],[[]],[]],[]] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[],[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]],[]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[],[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]],[]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[],[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[],[[],[[],[]],[],[]]] => [[[],[],[[],[]],[]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[],[[],[[],[]],[[]]]] => [[[[]],[[],[]],[]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[],[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[],[[],[[],[],[]],[]]] => [[[],[[],[],[]],[]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[],[[],[[],[],[],[]]]] => [[[[],[],[],[]],[]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[],[[],[[],[],[[]]]]] => [[[[[]],[],[]],[]],[]] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[],[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]],[]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[],[[],[[],[[]]],[]]] => [[[],[[[]],[]],[]],[]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[],[[],[[],[[]],[]]]] => [[[[],[[]],[]],[]],[]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[],[[],[[],[[[]]]]]] => [[[[[[]]],[]],[]],[]] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[],[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]],[]] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[],[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]],[]] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[],[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]],[]] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[],[[],[[[]]],[],[]]] => [[[],[],[[[]]],[]],[]] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[],[[],[[[]]],[[]]]] => [[[[]],[[[]]],[]],[]] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[],[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]],[]] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[],[[],[[[]],[]],[]]] => [[[],[[],[[]]],[]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[],[[],[[[]],[],[]]]] => [[[[],[],[[]]],[]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[],[[],[[[]],[[]]]]] => [[[[[]],[[]]],[]],[]] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[],[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]],[]] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[],[[],[[[],[]]],[]]] => [[[],[[[],[]]],[]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[],[[],[[[],[],[]]]]] => [[[[[],[],[]]],[]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[],[[],[[[],[[]]]]]] => [[[[[[]],[]]],[]],[]] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[],[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]],[]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[],[[],[[[[]]]],[]]] => [[[],[[[[]]]],[]],[]] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[],[[],[[[[]]],[]]]] => [[[[],[[[]]]],[]],[]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[],[[],[[[[]],[]]]]] => [[[[[],[[]]]],[]],[]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[],[[],[[[[],[]]]]]] => [[[[[[],[]]]],[]],[]] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[],[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]],[]] => [[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[],[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]],[]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[],[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]],[]] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[],[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]],[]] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[],[[[]]],[],[[],[]]] => [[[],[]],[],[[[]]],[]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[],[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]],[]] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[],[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]],[]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[],[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]],[]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[],[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]],[]] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[],[[[]]],[[],[],[]]] => [[[],[],[]],[[[]]],[]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[],[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]],[]] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[],[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]],[]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[],[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]],[]] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[],[[[]]],[[[],[]]]] => [[[[],[]]],[[[]]],[]] => [[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[],[[[]]],[[[[]]]]] => [[[[[]]]],[[[]]],[]] => [[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[],[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]],[]] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[],[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]],[]] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[],[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]],[]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[],[[[]],[]],[[],[]]] => [[[],[]],[[],[[]]],[]] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[],[[[]],[]],[[[]]]] => [[[[]]],[[],[[]]],[]] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[],[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]],[]] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[],[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]],[]] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[],[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]],[]] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[],[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]],[]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[],[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]],[]] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[],[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]],[]] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[],[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]],[]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[],[[[]],[],[[],[]]]] => [[[[],[]],[],[[]]],[]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[],[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]],[]] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[],[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]],[]] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[],[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]],[]] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[],[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]],[]] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[],[[[]],[[]],[],[]]] => [[[],[],[[]],[[]]],[]] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[],[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]],[]] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[],[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]],[]] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[],[[[]],[[],[]],[]]] => [[[],[[],[]],[[]]],[]] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[],[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]],[]] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[],[[[]],[[],[[]]]]] => [[[[[]],[]],[[]]],[]] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[],[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]],[]] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[],[[[]],[[[]]],[]]] => [[[],[[[]]],[[]]],[]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[],[[[]],[[[]],[]]]] => [[[[],[[]]],[[]]],[]] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[],[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]],[]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[],[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]],[]] => [[[[[.,.],.],.],[[.,.],.]],[.,.]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[],[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]],[]] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[],[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]],[]] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[],[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]],[]] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[],[[[],[]]],[[],[]]] => [[[],[]],[[[],[]]],[]] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[],[[[],[]]],[[[]]]] => [[[[]]],[[[],[]]],[]] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[],[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]],[]] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[],[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]],[]] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[],[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[],[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[],[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]],[]] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[],[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]],[]] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[],[[[],[]],[[]],[]]] => [[[],[[]],[[],[]]],[]] => [[.,[[.,.],[[.,[.,.]],.]]],[.,.]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[],[[[],[]],[[[]]]]] => [[[[[]]],[[],[]]],[]] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[],[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]],[]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[],[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]],[]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[],[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]],[]] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[],[[[],[],[]],[],[]]] => [[[],[],[[],[],[]]],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[],[[[],[],[]],[[]]]] => [[[[]],[[],[],[]]],[]] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[],[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]],[]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[],[[[],[],[],[]],[]]] => [[[],[[],[],[],[]]],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[[[],[],[],[],[]]]] => [[[[],[],[],[],[]]],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[],[[[],[],[],[[]]]]] => [[[[[]],[],[],[]]],[]] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]],[]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[],[[[],[],[[]]],[]]] => [[[],[[[]],[],[]]],[]] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[],[[[],[],[[]],[]]]] => [[[[],[[]],[],[]]],[]] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[],[[[],[],[[],[]]]]] => [[[[[],[]],[],[]]],[]] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[],[[[],[],[[[]]]]]] => [[[[[[]]],[],[]]],[]] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[],[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]],[]] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[],[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]],[]] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[],[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]],[]] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[],[[[],[[]]],[],[]]] => [[[],[],[[[]],[]]],[]] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[],[[[],[[]]],[[]]]] => [[[[]],[[[]],[]]],[]] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[],[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]],[]] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[],[[[],[[]],[]],[]]] => [[[],[[],[[]],[]]],[]] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[],[[[],[[]],[],[]]]] => [[[[],[],[[]],[]]],[]] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[],[[[],[[]],[[]]]]] => [[[[[]],[[]],[]]],[]] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[],[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]],[]] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[],[[[],[[],[]],[]]]] => [[[[],[[],[]],[]]],[]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[],[[[],[[],[],[]]]]] => [[[[[],[],[]],[]]],[]] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[],[[[],[[],[[]]]]]] => [[[[[[]],[]],[]]],[]] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[],[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]],[]] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[],[[[],[[[]]]],[]]] => [[[],[[[[]]],[]]],[]] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[],[[[],[[[]]],[]]]] => [[[[],[[[]]],[]]],[]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[],[[[],[[[]],[]]]]] => [[[[[],[[]]],[]]],[]] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[],[[[],[[[],[]]]]]] => [[[[[[],[]]],[]]],[]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[],[[[],[[[[]]]]]]] => [[[[[[[]]]],[]]],[]] => [[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[],[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]],[]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[],[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]],[]] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[],[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]],[]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[],[[[[]]]],[[],[]]] => [[[],[]],[[[[]]]],[]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[],[[[[]]]],[[[]]]] => [[[[]]],[[[[]]]],[]] => [[[.,.],.],[[[[.,.],.],.],[.,.]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[],[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]],[]] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[],[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]],[]] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[],[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]],[]] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[],[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]],[]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[],[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]],[]] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[],[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]],[]] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[],[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]],[]] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[],[[[[]]],[[],[]]]] => [[[[],[]],[[[]]]],[]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[],[[[[]]],[[[]]]]] => [[[[[]]],[[[]]]],[]] => [[[[.,.],.],[[[.,.],.],.]],[.,.]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[],[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]],[]] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[],[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]],[]] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[],[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]],[]] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[],[[[[]],[]],[],[]]] => [[[],[],[[],[[]]]],[]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[],[[[[]],[]],[[]]]] => [[[[]],[[],[[]]]],[]] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[],[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]],[]] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[],[[[[]],[],[]],[]]] => [[[],[[],[],[[]]]],[]] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[],[[[[]],[],[],[]]]] => [[[[],[],[],[[]]]],[]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[],[[[[]],[],[[]]]]] => [[[[[]],[],[[]]]],[]] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[],[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]],[]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[],[[[[]],[[]]],[]]] => [[[],[[[]],[[]]]],[]] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[],[[[[]],[[]],[]]]] => [[[[],[[]],[[]]]],[]] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[],[[[[]],[[],[]]]]] => [[[[[],[]],[[]]]],[]] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[],[[[[]],[[[]]]]]] => [[[[[[]]],[[]]]],[]] => [[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[],[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]],[]] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[],[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]],[]] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[],[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]],[]] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[],[[[[],[]]],[],[]]] => [[[],[],[[[],[]]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[],[[[[],[]]],[[]]]] => [[[[]],[[[],[]]]],[]] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[],[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]],[]] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[],[[[[],[]],[],[]]]] => [[[[],[],[[],[]]]],[]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[],[[[[],[]],[[]]]]] => [[[[[]],[[],[]]]],[]] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[],[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]],[]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[],[[[[],[],[]]],[]]] => [[[],[[[],[],[]]]],[]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[],[[[[],[],[]],[]]]] => [[[[],[[],[],[]]]],[]] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[],[[[[],[],[],[]]]]] => [[[[[],[],[],[]]]],[]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[],[[[[],[],[[]]]]]] => [[[[[[]],[],[]]]],[]] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[],[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]],[]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[],[[[[],[[]]]],[]]] => [[[],[[[[]],[]]]],[]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[],[[[[],[[]]],[]]]] => [[[[],[[[]],[]]]],[]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[],[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]],[]] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[[[[],[[],[]]]]]] => [[[[[[],[]],[]]]],[]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[],[[[[],[[[]]]]]]] => [[[[[[[]]],[]]]],[]] => [[[[[[.,.],.],[.,.]],.],.],[.,.]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[],[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]],[]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[],[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]],[]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[],[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]],[]] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[],[[[[[]]]],[],[]]] => [[[],[],[[[[]]]]],[]] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[],[[[[[]]]],[[]]]] => [[[[]],[[[[]]]]],[]] => [[[.,.],[[[[.,.],.],.],.]],[.,.]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[],[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]],[]] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[],[[[[[]]],[]],[]]] => [[[],[[],[[[]]]]],[]] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]]
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[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[],[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]],[]] => [[[[.,.],[[[.,.],.],.]],.],[.,.]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[],[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]],[]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[],[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]],[]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[],[[[[[]],[]],[]]]] => [[[[],[[],[[]]]]],[]] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[],[[[[[]],[],[]]]]] => [[[[[],[],[[]]]]],[]] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[],[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]],[]] => [[[[[.,.],[[.,.],.]],.],.],[.,.]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[],[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]],[]] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[],[[[[[],[]]]],[]]] => [[[],[[[[],[]]]]],[]] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[],[[[[[],[]]],[]]]] => [[[[],[[[],[]]]]],[]] => [[[.,[[[.,[.,.]],.],.]],.],[.,.]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[],[[[[[],[]],[]]]]] => [[[[[],[[],[]]]]],[]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[],[[[[[],[],[]]]]]] => [[[[[[],[],[]]]]],[]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[],[[[[[],[[]]]]]]] => [[[[[[[]],[]]]]],[]] => [[[[[[.,.],[.,.]],.],.],.],[.,.]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[],[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]],[]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[],[[[[[[]]]]],[]]] => [[[],[[[[[]]]]]],[]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[],[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]],[]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[],[[[[[[]]],[]]]]] => [[[[[],[[[]]]]]],[]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[],[[[[[[]],[]]]]]] => [[[[[[],[[]]]]]],[]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[],[[[[[[],[]]]]]]] => [[[[[[[],[]]]]]],[]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[]] => [[[[[[[.,.],.],.],.],.],.],[.,.]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[],[],[[]]] => [[[]],[],[],[],[],[[]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[]],[],[],[],[[]],[]] => [[],[[]],[],[],[],[[]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[]],[],[],[],[[],[]]] => [[[],[]],[],[],[],[[]]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[]],[],[],[],[[[]]]] => [[[[]]],[],[],[],[[]]] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[]],[],[],[[]],[],[]] => [[],[],[[]],[],[],[[]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[]],[],[],[[]],[[]]] => [[[]],[[]],[],[],[[]]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[]],[],[],[[],[]],[]] => [[],[[],[]],[],[],[[]]] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[]],[],[],[[],[],[]]] => [[[],[],[]],[],[],[[]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[[]],[],[],[[],[[]]]] => [[[[]],[]],[],[],[[]]] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[]],[],[],[[[]]],[]] => [[],[[[]]],[],[],[[]]] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[[]],[],[],[[[]],[]]] => [[[],[[]]],[],[],[[]]] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[]],[],[],[[[],[]]]] => [[[[],[]]],[],[],[[]]] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[]],[],[],[[[[]]]]] => [[[[[]]]],[],[],[[]]] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[]],[],[[]],[],[],[]] => [[],[],[],[[]],[],[[]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[[]],[],[[]],[],[[]]] => [[[]],[],[[]],[],[[]]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[]],[],[[]],[[]],[]] => [[],[[]],[[]],[],[[]]] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[[]],[],[[]],[[],[]]] => [[[],[]],[[]],[],[[]]] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[[]],[],[[]],[[[]]]] => [[[[]]],[[]],[],[[]]] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[]],[],[[],[]],[],[]] => [[],[],[[],[]],[],[[]]] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[[]],[],[[],[]],[[]]] => [[[]],[[],[]],[],[[]]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[]],[],[[],[],[]],[]] => [[],[[],[],[]],[],[[]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[]],[],[[],[],[],[]]] => [[[],[],[],[]],[],[[]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[[]],[],[[],[],[[]]]] => [[[[]],[],[]],[],[[]]] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[]],[],[[],[[]]],[]] => [[],[[[]],[]],[],[[]]] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[[]],[],[[],[[]],[]]] => [[[],[[]],[]],[],[[]]] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[]],[],[[],[[],[]]]] => [[[[],[]],[]],[],[[]]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[]],[],[[],[[[]]]]] => [[[[[]]],[]],[],[[]]] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[]],[],[[[]]],[],[]] => [[],[],[[[]]],[],[[]]] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[[]],[],[[[]]],[[]]] => [[[]],[[[]]],[],[[]]] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[]],[],[[[]],[]],[]] => [[],[[],[[]]],[],[[]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[]],[],[[[]],[],[]]] => [[[],[],[[]]],[],[[]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[[]],[],[[[]],[[]]]] => [[[[]],[[]]],[],[[]]] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[]],[],[[[],[]]],[]] => [[],[[[],[]]],[],[[]]] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[[]],[],[[[],[]],[]]] => [[[],[[],[]]],[],[[]]] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[[]],[],[[[],[],[]]]] => [[[[],[],[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[[]],[],[[[],[[]]]]] => [[[[[]],[]]],[],[[]]] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[]],[],[[[[]]]],[]] => [[],[[[[]]]],[],[[]]] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[[]],[],[[[[]]],[]]] => [[[],[[[]]]],[],[[]]] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[[]],[],[[[[]],[]]]] => [[[[],[[]]]],[],[[]]] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[]],[],[[[[],[]]]]] => [[[[[],[]]]],[],[[]]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[]],[],[[[[[]]]]]] => [[[[[[]]]]],[],[[]]] => [[[[[.,.],.],.],.],[.,[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[[]],[],[],[],[]] => [[],[],[],[],[[]],[[]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[[]],[[]],[],[],[[]]] => [[[]],[],[],[[]],[[]]] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[]],[[]],[],[[]],[]] => [[],[[]],[],[[]],[[]]] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[[]],[[]],[],[[],[]]] => [[[],[]],[],[[]],[[]]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[[]],[[]],[],[[[]]]] => [[[[]]],[],[[]],[[]]] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[]],[[]],[[]],[],[]] => [[],[],[[]],[[]],[[]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[]],[[]],[[],[]],[]] => [[],[[],[]],[[]],[[]]] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[]],[[]],[[],[],[]]] => [[[],[],[]],[[]],[[]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[]],[[]],[[],[[]]]] => [[[[]],[]],[[]],[[]]] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[]],[[]],[[[]]],[]] => [[],[[[]]],[[]],[[]]] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[]],[[[]],[]]] => [[[],[[]]],[[]],[[]]] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[]],[[]],[[[],[]]]] => [[[[],[]]],[[]],[[]]] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[]],[[]],[[[[]]]]] => [[[[[]]]],[[]],[[]]] => [[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[]],[[],[]],[],[],[]] => [[],[],[],[[],[]],[[]]] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[[]],[[],[]],[],[[]]] => [[[]],[],[[],[]],[[]]] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[]],[[],[]],[[]],[]] => [[],[[]],[[],[]],[[]]] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[[]],[[],[]],[[],[]]] => [[[],[]],[[],[]],[[]]] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[]],[[],[]],[[[]]]] => [[[[]]],[[],[]],[[]]] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[]],[[],[],[]],[],[]] => [[],[],[[],[],[]],[[]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[[]],[[],[],[]],[[]]] => [[[]],[[],[],[]],[[]]] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[]],[[],[],[],[]],[]] => [[],[[],[],[],[]],[[]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[]],[[],[],[],[],[]]] => [[[],[],[],[],[]],[[]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[[]],[[],[],[],[[]]]] => [[[[]],[],[],[]],[[]]] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[]],[[],[],[[]]],[]] => [[],[[[]],[],[]],[[]]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[[]],[[],[],[[]],[]]] => [[[],[[]],[],[]],[[]]] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[[]],[[],[],[[],[]]]] => [[[[],[]],[],[]],[[]]] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[[]],[[],[],[[[]]]]] => [[[[[]]],[],[]],[[]]] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[]],[[],[[]]],[],[]] => [[],[],[[[]],[]],[[]]] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[]],[[],[[]]],[[]]] => [[[]],[[[]],[]],[[]]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[]],[[],[[]],[]],[]] => [[],[[],[[]],[]],[[]]] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[[]],[[],[[]],[],[]]] => [[[],[],[[]],[]],[[]]] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[[]],[[],[[]],[[]]]] => [[[[]],[[]],[]],[[]]] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[]],[[],[[],[]]],[]] => [[],[[[],[]],[]],[[]]] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[[]],[[],[[],[]],[]]] => [[[],[[],[]],[]],[[]]] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[[]],[[],[[],[],[]]]] => [[[[],[],[]],[]],[[]]] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[[]],[[],[[],[[]]]]] => [[[[[]],[]],[]],[[]]] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[]],[[],[[[]]]],[]] => [[],[[[[]]],[]],[[]]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[[]],[[],[[[]]],[]]] => [[[],[[[]]],[]],[[]]] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[[]],[[],[[[]],[]]]] => [[[[],[[]]],[]],[[]]] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[[]],[[],[[[],[]]]]] => [[[[[],[]]],[]],[[]]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[[]],[[],[[[[]]]]]] => [[[[[[]]]],[]],[[]]] => [[[[[.,.],.],.],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[]],[[[]]],[],[],[]] => [[],[],[],[[[]]],[[]]] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[[]],[[[]]],[],[[]]] => [[[]],[],[[[]]],[[]]] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[]],[[[]]],[[]],[]] => [[],[[]],[[[]]],[[]]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[[]],[[[]]],[[],[]]] => [[[],[]],[[[]]],[[]]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[]],[[[]]],[[[]]]] => [[[[]]],[[[]]],[[]]] => [[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[]],[[[]],[]],[],[]] => [[],[],[[],[[]]],[[]]] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[]],[]],[[]]] => [[[]],[[],[[]]],[[]]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[]],[[[]],[],[]],[]] => [[],[[],[],[[]]],[[]]] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[[]],[[[]],[],[],[]]] => [[[],[],[],[[]]],[[]]] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[[]],[[[]],[],[[]]]] => [[[[]],[],[[]]],[[]]] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[]],[[[]],[[]]],[]] => [[],[[[]],[[]]],[[]]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[]],[[]],[]]] => [[[],[[]],[[]]],[[]]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[[]],[[[]],[[],[]]]] => [[[[],[]],[[]]],[[]]] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[[]],[[[]],[[[]]]]] => [[[[[]]],[[]]],[[]]] => [[[[.,.],.],[[.,.],.]],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[]],[[[],[]]],[],[]] => [[],[],[[[],[]]],[[]]] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[[]],[[[],[]]],[[]]] => [[[]],[[[],[]]],[[]]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[]],[[[],[]],[]],[]] => [[],[[],[[],[]]],[[]]] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[[]],[[[],[]],[],[]]] => [[[],[],[[],[]]],[[]]] => [[.,[.,[[.,[.,.]],.]]],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[[]],[[[],[]],[[]]]] => [[[[]],[[],[]]],[[]]] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[]],[[[],[],[]]],[]] => [[],[[[],[],[]]],[[]]] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[[]],[[[],[],[]],[]]] => [[[],[[],[],[]]],[[]]] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[[]],[[[],[],[],[]]]] => [[[[],[],[],[]]],[[]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[[]],[[[],[],[[]]]]] => [[[[[]],[],[]]],[[]]] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[[]],[[[],[[]]]],[]] => [[],[[[[]],[]]],[[]]] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[[]],[[[],[[]]],[]]] => [[[],[[[]],[]]],[[]]] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[[]],[[[],[[]],[]]]] => [[[[],[[]],[]]],[[]]] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[[]],[[[],[[],[]]]]] => [[[[[],[]],[]]],[[]]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[[]],[[[],[[[]]]]]] => [[[[[[]]],[]]],[[]]] => [[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[]],[[[[]]]],[],[]] => [[],[],[[[[]]]],[[]]] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[]],[[[[]]]],[[]]] => [[[]],[[[[]]]],[[]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[]],[[[[]]],[]],[]] => [[],[[],[[[]]]],[[]]] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[[]],[[[[]]],[],[]]] => [[[],[],[[[]]]],[[]]] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[[]],[[[[]]],[[]]]] => [[[[]],[[[]]]],[[]]] => [[[.,.],[[[.,.],.],.]],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[]],[[[[]],[]]],[]] => [[],[[[],[[]]]],[[]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[[]],[]],[]]] => [[[],[[],[[]]]],[[]]] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[[]],[[[[]],[],[]]]] => [[[[],[],[[]]]],[[]]] => [[[.,[.,[[.,.],.]]],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[[]],[[[[]],[[]]]]] => [[[[[]],[[]]]],[[]]] => [[[[.,.],[[.,.],.]],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[[]],[[[[],[]]]],[]] => [[],[[[[],[]]]],[[]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[[]],[[[[],[]]],[]]] => [[[],[[[],[]]]],[[]]] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[[]],[[[[],[]],[]]]] => [[[[],[[],[]]]],[[]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[[]],[[[[],[],[]]]]] => [[[[[],[],[]]]],[[]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[[]],[[[[],[[]]]]]] => [[[[[[]],[]]]],[[]]] => [[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[]],[[[[[]]]]],[]] => [[],[[[[[]]]]],[[]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[[]],[[[[[]]]],[]]] => [[[],[[[[]]]]],[[]]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[[]],[[[[[]]],[]]]] => [[[[],[[[]]]]],[[]]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[[]],[[[[[]],[]]]]] => [[[[[],[[]]]]],[[]]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[[]],[[[[[],[]]]]]] => [[[[[[],[]]]]],[[]]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[]]] => [[[[[[.,.],.],.],.],.],[[.,.],.]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[],[]],[],[],[],[],[]] => [[],[],[],[],[],[[],[]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[],[]],[],[],[],[[]]] => [[[]],[],[],[],[[],[]]] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[],[]],[],[],[[]],[]] => [[],[[]],[],[],[[],[]]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[],[]],[],[],[[],[]]] => [[[],[]],[],[],[[],[]]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[],[]],[],[],[[[]]]] => [[[[]]],[],[],[[],[]]] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[],[]],[],[[]],[],[]] => [[],[],[[]],[],[[],[]]] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[],[]],[],[[]],[[]]] => [[[]],[[]],[],[[],[]]] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[],[]],[],[[],[]],[]] => [[],[[],[]],[],[[],[]]] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[],[]],[],[[],[],[]]] => [[[],[],[]],[],[[],[]]] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[],[]],[],[[],[[]]]] => [[[[]],[]],[],[[],[]]] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[],[]],[],[[[]]],[]] => [[],[[[]]],[],[[],[]]] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[],[]],[],[[[]],[]]] => [[[],[[]]],[],[[],[]]] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[],[]],[],[[[],[]]]] => [[[[],[]]],[],[[],[]]] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[],[]],[],[[[[]]]]] => [[[[[]]]],[],[[],[]]] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[],[]],[[]],[],[],[]] => [[],[],[],[[]],[[],[]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[],[]],[[]],[],[[]]] => [[[]],[],[[]],[[],[]]] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[],[]],[[]],[[]],[]] => [[],[[]],[[]],[[],[]]] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[],[]],[[]],[[],[]]] => [[[],[]],[[]],[[],[]]] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[],[]],[[]],[[[]]]] => [[[[]]],[[]],[[],[]]] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[],[]],[[],[]],[],[]] => [[],[],[[],[]],[[],[]]] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[],[]],[[],[]],[[]]] => [[[]],[[],[]],[[],[]]] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[],[]],[[],[],[]],[]] => [[],[[],[],[]],[[],[]]] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[[],[]],[[],[],[],[]]] => [[[],[],[],[]],[[],[]]] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[[],[]],[[],[],[[]]]] => [[[[]],[],[]],[[],[]]] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[],[]],[[],[[]]],[]] => [[],[[[]],[]],[[],[]]] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[[],[]],[[],[[]],[]]] => [[[],[[]],[]],[[],[]]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[]]] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[],[]],[[],[[[]]]]] => [[[[[]]],[]],[[],[]]] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[],[]],[[[]]],[],[]] => [[],[],[[[]]],[[],[]]] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[],[]],[[[]]],[[]]] => [[[]],[[[]]],[[],[]]] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[],[]],[[[]],[]],[]] => [[],[[],[[]]],[[],[]]] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[[],[]],[[[]],[],[]]] => [[[],[],[[]]],[[],[]]] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[[],[]],[[[]],[[]]]] => [[[[]],[[]]],[[],[]]] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[],[]],[[[],[]]],[]] => [[],[[[],[]]],[[],[]]] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[]]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[[],[]],[[[],[],[]]]] => [[[[],[],[]]],[[],[]]] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[[],[]],[[[],[[]]]]] => [[[[[]],[]]],[[],[]]] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[],[]],[[[[]]]],[]] => [[],[[[[]]]],[[],[]]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[[],[]],[[[[]]],[]]] => [[[],[[[]]]],[[],[]]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[[],[]],[[[[]],[]]]] => [[[[],[[]]]],[[],[]]] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[[],[]],[[[[],[]]]]] => [[[[[],[]]]],[[],[]]] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[[],[]],[[[[[]]]]]] => [[[[[[]]]]],[[],[]]] => [[[[[.,.],.],.],.],[[.,[.,.]],.]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[],[],[]],[],[],[],[]] => [[],[],[],[],[[],[],[]]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[],[],[]],[],[],[[]]] => [[[]],[],[],[[],[],[]]] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[],[],[]],[],[[]],[]] => [[],[[]],[],[[],[],[]]] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[],[],[]],[],[[],[]]] => [[[],[]],[],[[],[],[]]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[],[],[]],[],[[[]]]] => [[[[]]],[],[[],[],[]]] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[],[],[]],[[]],[],[]] => [[],[],[[]],[[],[],[]]] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[],[],[]],[[]],[[]]] => [[[]],[[]],[[],[],[]]] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[],[],[]],[[],[]],[]] => [[],[[],[]],[[],[],[]]] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[[],[],[]],[[],[],[]]] => [[[],[],[]],[[],[],[]]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[[],[],[]],[[],[[]]]] => [[[[]],[]],[[],[],[]]] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[],[],[]],[[[]]],[]] => [[],[[[]]],[[],[],[]]] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[[],[],[]],[[[]],[]]] => [[[],[[]]],[[],[],[]]] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[[],[],[]],[[[],[]]]] => [[[[],[]]],[[],[],[]]] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[],[],[]],[[[[]]]]] => [[[[[]]]],[[],[],[]]] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[],[],[],[]],[],[],[]] => [[],[],[],[[],[],[],[]]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[],[],[],[]],[],[[]]] => [[[]],[],[[],[],[],[]]] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[],[],[],[]],[[]],[]] => [[],[[]],[[],[],[],[]]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[[],[],[],[]],[[],[]]] => [[[],[]],[[],[],[],[]]] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[[],[],[],[]],[[[]]]] => [[[[]]],[[],[],[],[]]] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[],[],[]],[],[]] => [[],[],[[],[],[],[],[]]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[],[],[]],[[]]] => [[[]],[[],[],[],[],[]]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[]]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[],[[]]]] => [[[[]],[],[],[],[],[]]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[],[],[[]]],[]] => [[],[[[]],[],[],[],[]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[],[],[[]],[]]] => [[[],[[]],[],[],[],[]]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[],[],[[],[]]]] => [[[[],[]],[],[],[],[]]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[],[],[[[]]]]] => [[[[[]]],[],[],[],[]]] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[],[],[],[[]]],[],[]] => [[],[],[[[]],[],[],[]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[[],[],[],[[]]],[[]]] => [[[]],[[[]],[],[],[]]] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[[],[],[],[[]],[]],[]] => [[],[[],[[]],[],[],[]]] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[[],[],[],[[]],[],[]]] => [[[],[],[[]],[],[],[]]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[[],[],[],[[]],[[]]]] => [[[[]],[[]],[],[],[]]] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[[],[],[],[[],[]]],[]] => [[],[[[],[]],[],[],[]]] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[[],[],[],[[],[]],[]]] => [[[],[[],[]],[],[],[]]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[[],[],[],[[],[],[]]]] => [[[[],[],[]],[],[],[]]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[[],[],[],[[],[[]]]]] => [[[[[]],[]],[],[],[]]] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[[],[],[],[[[]]]],[]] => [[],[[[[]]],[],[],[]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[[],[],[],[[[]]],[]]] => [[[],[[[]]],[],[],[]]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[[],[],[],[[[]],[]]]] => [[[[],[[]]],[],[],[]]] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[[],[],[],[[[],[]]]]] => [[[[[],[]]],[],[],[]]] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[[],[],[],[[[[]]]]]] => [[[[[[]]]],[],[],[]]] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[],[],[[]]],[],[],[]] => [[],[],[],[[[]],[],[]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[],[],[[]]],[],[[]]] => [[[]],[],[[[]],[],[]]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[],[],[[]]],[[]],[]] => [[],[[]],[[[]],[],[]]] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[[],[],[[]]],[[],[]]] => [[[],[]],[[[]],[],[]]] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[[],[],[[]]],[[[]]]] => [[[[]]],[[[]],[],[]]] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[],[],[[]],[]],[],[]] => [[],[],[[],[[]],[],[]]] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[[],[],[[]],[]],[[]]] => [[[]],[[],[[]],[],[]]] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[],[],[[]],[],[]],[]] => [[],[[],[],[[]],[],[]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[[],[],[[]],[],[],[]]] => [[[],[],[],[[]],[],[]]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[[],[],[[]],[],[[]]]] => [[[[]],[],[[]],[],[]]] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[[],[],[[]],[[]]],[]] => [[],[[[]],[[]],[],[]]] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[[],[],[[]],[[]],[]]] => [[[],[[]],[[]],[],[]]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[[],[],[[]],[[],[]]]] => [[[[],[]],[[]],[],[]]] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[[],[],[[]],[[[]]]]] => [[[[[]]],[[]],[],[]]] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[],[],[[],[]]],[],[]] => [[],[],[[[],[]],[],[]]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[[],[],[[],[]]],[[]]] => [[[]],[[[],[]],[],[]]] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[[],[],[[],[]],[]],[]] => [[],[[],[[],[]],[],[]]] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[],[],[[],[]],[],[]]] => [[[],[],[[],[]],[],[]]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[[],[],[[],[]],[[]]]] => [[[[]],[[],[]],[],[]]] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[[],[],[[],[],[]]],[]] => [[],[[[],[],[]],[],[]]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[[],[],[[],[],[]],[]]] => [[[],[[],[],[]],[],[]]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[[],[],[[],[],[],[]]]] => [[[[],[],[],[]],[],[]]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[[],[],[[],[],[[]]]]] => [[[[[]],[],[]],[],[]]] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[],[],[[],[[]]]],[]] => [[],[[[[]],[]],[],[]]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[[],[],[[],[[]]],[]]] => [[[],[[[]],[]],[],[]]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[[],[],[[],[[]],[]]]] => [[[[],[[]],[]],[],[]]] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[],[[],[[],[]]]]] => [[[[[],[]],[]],[],[]]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[[],[],[[],[[[]]]]]] => [[[[[[]]],[]],[],[]]] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[],[],[[[]]]],[],[]] => [[],[],[[[[]]],[],[]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[],[],[[[]]]],[[]]] => [[[]],[[[[]]],[],[]]] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[[],[],[[[]]],[]],[]] => [[],[[],[[[]]],[],[]]] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[[],[],[[[]]],[],[]]] => [[[],[],[[[]]],[],[]]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[[],[],[[[]]],[[]]]] => [[[[]],[[[]]],[],[]]] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[[],[],[[[]],[]]],[]] => [[],[[[],[[]]],[],[]]] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[[],[],[[[]],[]],[]]] => [[[],[[],[[]]],[],[]]] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[[],[],[[[]],[],[]]]] => [[[[],[],[[]]],[],[]]] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[[],[],[[[]],[[]]]]] => [[[[[]],[[]]],[],[]]] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[[],[],[[[],[]]]],[]] => [[],[[[[],[]]],[],[]]] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[[],[],[[[],[]]],[]]] => [[[],[[[],[]]],[],[]]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[[],[],[[[],[]],[]]]] => [[[[],[[],[]]],[],[]]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[[],[],[[[],[],[]]]]] => [[[[[],[],[]]],[],[]]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[[],[],[[[],[[]]]]]] => [[[[[[]],[]]],[],[]]] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[[],[],[[[[]]]]],[]] => [[],[[[[[]]]],[],[]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[[],[],[[[[]]]],[]]] => [[[],[[[[]]]],[],[]]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[[],[],[[[[]]],[]]]] => [[[[],[[[]]]],[],[]]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[[],[],[[[[]],[]]]]] => [[[[[],[[]]]],[],[]]] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[[],[],[[[[],[]]]]]] => [[[[[[],[]]]],[],[]]] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[],[[[[[]]]]]]] => [[[[[[[]]]]],[],[]]] => [[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[],[[]]],[],[],[],[]] => [[],[],[],[],[[[]],[]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[],[[]]],[],[],[[]]] => [[[]],[],[],[[[]],[]]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[],[[]]],[],[[]],[]] => [[],[[]],[],[[[]],[]]] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[],[[]]],[],[[],[]]] => [[[],[]],[],[[[]],[]]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[],[[]]],[],[[[]]]] => [[[[]]],[],[[[]],[]]] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[],[[]]],[[]],[],[]] => [[],[],[[]],[[[]],[]]] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[],[[]]],[[]],[[]]] => [[[]],[[]],[[[]],[]]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[],[[]]],[[],[]],[]] => [[],[[],[]],[[[]],[]]] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[],[[]]],[[],[],[]]] => [[[],[],[]],[[[]],[]]] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[],[[]]],[[],[[]]]] => [[[[]],[]],[[[]],[]]] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[],[[]]],[[[]]],[]] => [[],[[[]]],[[[]],[]]] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[[],[[]]],[[[]],[]]] => [[[],[[]]],[[[]],[]]] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[],[[]]],[[[],[]]]] => [[[[],[]]],[[[]],[]]] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[],[[]]],[[[[]]]]] => [[[[[]]]],[[[]],[]]] => [[[[.,.],.],.],[[[.,.],[.,.]],.]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[],[[]],[]],[],[],[]] => [[],[],[],[[],[[]],[]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[],[[]],[]],[],[[]]] => [[[]],[],[[],[[]],[]]] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[],[[]],[]],[[]],[]] => [[],[[]],[[],[[]],[]]] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[],[[]],[]],[[],[]]] => [[[],[]],[[],[[]],[]]] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[],[[]],[]],[[[]]]] => [[[[]]],[[],[[]],[]]] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[],[[]],[],[]],[],[]] => [[],[],[[],[],[[]],[]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[[],[[]],[],[]],[[]]] => [[[]],[[],[],[[]],[]]] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[],[[]],[],[],[]],[]] => [[],[[],[],[],[[]],[]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[[]],[],[],[],[]]] => [[[],[],[],[],[[]],[]]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[[],[[]],[],[],[[]]]] => [[[[]],[],[],[[]],[]]] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[],[[]],[],[[]]],[]] => [[],[[[]],[],[[]],[]]] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[[],[[]],[],[[]],[]]] => [[[],[[]],[],[[]],[]]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[],[[]],[],[[],[]]]] => [[[[],[]],[],[[]],[]]] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[],[[]],[],[[[]]]]] => [[[[[]]],[],[[]],[]]] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[],[[]],[[]]],[],[]] => [[],[],[[[]],[[]],[]]] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[],[[]],[[]]],[[]]] => [[[]],[[[]],[[]],[]]] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[],[[]],[[]],[]],[]] => [[],[[],[[]],[[]],[]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[[]],[],[]]] => [[[],[],[[]],[[]],[]]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]],[[]]]] => [[[[]],[[]],[[]],[]]] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[],[[]],[[],[]]],[]] => [[],[[[],[]],[[]],[]]] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[[],[[]],[[],[]],[]]] => [[[],[[],[]],[[]],[]]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[],[[]],[[],[],[]]]] => [[[[],[],[]],[[]],[]]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[],[[]],[[],[[]]]]] => [[[[[]],[]],[[]],[]]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[],[[]],[[[]]]],[]] => [[],[[[[]]],[[]],[]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[[],[[]],[[[]]],[]]] => [[[],[[[]]],[[]],[]]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[[],[[]],[[[]],[]]]] => [[[[],[[]]],[[]],[]]] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[[],[[]],[[[],[]]]]] => [[[[[],[]]],[[]],[]]] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[[],[[]],[[[[]]]]]] => [[[[[[]]]],[[]],[]]] => [[[[[.,.],.],.],[[.,.],[.,.]]],.]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[],[[],[]]],[],[],[]] => [[],[],[],[[[],[]],[]]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[],[[],[]]],[],[[]]] => [[[]],[],[[[],[]],[]]] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[],[[],[]]],[[]],[]] => [[],[[]],[[[],[]],[]]] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[]]] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[[],[[],[]]],[[[]]]] => [[[[]]],[[[],[]],[]]] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[],[[],[]],[]],[],[]] => [[],[],[[],[[],[]],[]]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[],[[],[]],[]],[[]]] => [[[]],[[],[[],[]],[]]] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[],[[],[]],[],[]],[]] => [[],[[],[],[[],[]],[]]] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[],[[],[]],[],[],[]]] => [[[],[],[],[[],[]],[]]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[[],[[],[]],[],[[]]]] => [[[[]],[],[[],[]],[]]] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[],[[],[]],[[]]],[]] => [[],[[[]],[[],[]],[]]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[[],[[],[]],[[]],[]]] => [[[],[[]],[[],[]],[]]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[],[[],[]],[[],[]]]] => [[[[],[]],[[],[]],[]]] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[],[[],[]],[[[]]]]] => [[[[[]]],[[],[]],[]]] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[],[[],[],[]]],[],[]] => [[],[],[[[],[],[]],[]]] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[[],[[],[],[]]],[[]]] => [[[]],[[[],[],[]],[]]] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[],[[],[],[]],[]],[]] => [[],[[],[[],[],[]],[]]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[],[[],[],[]],[],[]]] => [[[],[],[[],[],[]],[]]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[[],[[],[],[]],[[]]]] => [[[[]],[[],[],[]],[]]] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[],[[],[],[],[]]],[]] => [[],[[[],[],[],[]],[]]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[[],[[],[],[],[]],[]]] => [[[],[[],[],[],[]],[]]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[[],[],[],[],[]]]] => [[[[],[],[],[],[]],[]]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[],[[],[],[],[[]]]]] => [[[[[]],[],[],[]],[]]] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[],[[],[],[[]]]],[]] => [[],[[[[]],[],[]],[]]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[[],[[],[],[[]]],[]]] => [[[],[[[]],[],[]],[]]] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[[],[[],[],[[]],[]]]] => [[[[],[[]],[],[]],[]]] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[],[[],[],[[],[]]]]] => [[[[[],[]],[],[]],[]]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[[],[[],[],[[[]]]]]] => [[[[[[]]],[],[]],[]]] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[],[[],[[]]]],[],[]] => [[],[],[[[[]],[]],[]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[],[[],[[]]]],[[]]] => [[[]],[[[[]],[]],[]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[],[[],[[]]],[]],[]] => [[],[[],[[[]],[]],[]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[],[[],[[]]],[],[]]] => [[[],[],[[[]],[]],[]]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[],[[],[[]]],[[]]]] => [[[[]],[[[]],[]],[]]] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[],[[],[[]],[]]],[]] => [[],[[[],[[]],[]],[]]] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[[],[[],[[]],[]],[]]] => [[[],[[],[[]],[]],[]]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[[],[[],[[]],[],[]]]] => [[[[],[],[[]],[]],[]]] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[],[[],[[]],[[]]]]] => [[[[[]],[[]],[]],[]]] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[]]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[],[[],[[],[]]],[]]] => [[[],[[[],[]],[]],[]]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[],[[],[[],[]],[]]]] => [[[[],[[],[]],[]],[]]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[],[[],[[],[],[]]]]] => [[[[[],[],[]],[]],[]]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[],[[],[[],[[]]]]]] => [[[[[[]],[]],[]],[]]] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[],[[],[[[]]]]],[]] => [[],[[[[[]]],[]],[]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[],[[],[[[]]]],[]]] => [[[],[[[[]]],[]],[]]] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[[],[[],[[[]]],[]]]] => [[[[],[[[]]],[]],[]]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[],[[],[[[]],[]]]]] => [[[[[],[[]]],[]],[]]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[[],[[],[[[],[]]]]]] => [[[[[[],[]]],[]],[]]] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[[],[[],[[[[]]]]]]] => [[[[[[[]]]],[]],[]]] => [[[[[[.,.],.],.],[.,.]],[.,.]],.]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[],[[[]]]],[],[],[]] => [[],[],[],[[[[]]],[]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[],[[[]]]],[],[[]]] => [[[]],[],[[[[]]],[]]] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[],[[[]]]],[[]],[]] => [[],[[]],[[[[]]],[]]] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[],[[[]]]],[[],[]]] => [[[],[]],[[[[]]],[]]] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[],[[[]]]],[[[]]]] => [[[[]]],[[[[]]],[]]] => [[[.,.],.],[[[[.,.],.],[.,.]],.]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[],[[[]]],[]],[],[]] => [[],[],[[],[[[]]],[]]] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[],[[[]]],[]],[[]]] => [[[]],[[],[[[]]],[]]] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[],[[[]]],[],[]],[]] => [[],[[],[],[[[]]],[]]] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[],[[[]]],[],[],[]]] => [[[],[],[],[[[]]],[]]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[[],[[[]]],[],[[]]]] => [[[[]],[],[[[]]],[]]] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[],[[[]]],[[]]],[]] => [[],[[[]],[[[]]],[]]] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[[],[[[]]],[[]],[]]] => [[[],[[]],[[[]]],[]]] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[],[[[]]],[[],[]]]] => [[[[],[]],[[[]]],[]]] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[],[[[]]],[[[]]]]] => [[[[[]]],[[[]]],[]]] => [[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[],[[[]],[]]],[],[]] => [[],[],[[[],[[]]],[]]] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[],[[[]],[]]],[[]]] => [[[]],[[[],[[]]],[]]] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[],[[[]],[]],[]],[]] => [[],[[],[[],[[]]],[]]] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[],[[[]],[]],[],[]]] => [[[],[],[[],[[]]],[]]] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[[],[[[]],[]],[[]]]] => [[[[]],[[],[[]]],[]]] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[],[[[]],[],[]]],[]] => [[],[[[],[],[[]]],[]]] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[],[[[]],[],[]],[]]] => [[[],[[],[],[[]]],[]]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[],[[[]],[],[],[]]]] => [[[[],[],[],[[]]],[]]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[[],[[[]],[],[[]]]]] => [[[[[]],[],[[]]],[]]] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[],[[[]],[[]]]],[]] => [[],[[[[]],[[]]],[]]] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[[],[[[]],[[]]],[]]] => [[[],[[[]],[[]]],[]]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[[],[[[]],[[]],[]]]] => [[[[],[[]],[[]]],[]]] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[[],[[[]],[[],[]]]]] => [[[[[],[]],[[]]],[]]] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[],[[[]],[[[]]]]]] => [[[[[[]]],[[]]],[]]] => [[[[[.,.],.],[[.,.],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[],[[[],[]]]],[],[]] => [[],[],[[[[],[]]],[]]] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[[],[[[],[]]]],[[]]] => [[[]],[[[[],[]]],[]]] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[],[[[],[]]],[]],[]] => [[],[[],[[[],[]]],[]]] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[],[[[],[]]],[],[]]] => [[[],[],[[[],[]]],[]]] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[[],[[[],[]]],[[]]]] => [[[[]],[[[],[]]],[]]] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[]]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[],[[[],[]],[]],[]]] => [[[],[[],[[],[]]],[]]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[[],[[[],[]],[],[]]]] => [[[[],[],[[],[]]],[]]] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[],[[[],[]],[[]]]]] => [[[[[]],[[],[]]],[]]] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[[],[[[],[],[]]]],[]] => [[],[[[[],[],[]]],[]]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[],[[[],[],[]]],[]]] => [[[],[[[],[],[]]],[]]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[],[[[],[],[]],[]]]] => [[[[],[[],[],[]]],[]]] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[],[[[],[],[],[]]]]] => [[[[[],[],[],[]]],[]]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[[],[[[],[],[[]]]]]] => [[[[[[]],[],[]]],[]]] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[],[[[],[[]]]]],[]] => [[],[[[[[]],[]]],[]]] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[[],[[[],[[]]]],[]]] => [[[],[[[[]],[]]],[]]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[],[[[],[[]]],[]]]] => [[[[],[[[]],[]]],[]]] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[[],[[[],[[]],[]]]]] => [[[[[],[[]],[]]],[]]] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[],[[[],[[],[]]]]]] => [[[[[[],[]],[]]],[]]] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[],[[[],[[[]]]]]]] => [[[[[[[]]],[]]],[]]] => [[[[[[.,.],.],[.,.]],.],[.,.]],.]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[],[[[[]]]]],[],[]] => [[],[],[[[[[]]]],[]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[],[[[[]]]]],[[]]] => [[[]],[[[[[]]]],[]]] => [[.,.],[[[[[.,.],.],.],[.,.]],.]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[],[[[[]]]],[]],[]] => [[],[[],[[[[]]]],[]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[[],[[[[]]]],[],[]]] => [[[],[],[[[[]]]],[]]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[[],[[[[]]]],[[]]]] => [[[[]],[[[[]]]],[]]] => [[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[],[[[[]]],[]]],[]] => [[],[[[],[[[]]]],[]]] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[],[[[[]]],[]],[]]] => [[[],[[],[[[]]]],[]]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[[],[[[[]]],[],[]]]] => [[[[],[],[[[]]]],[]]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[],[[[[]]],[[]]]]] => [[[[[]],[[[]]]],[]]] => [[[[.,.],[[[.,.],.],.]],[.,.]],.]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[],[[[[]],[]]]],[]] => [[],[[[[],[[]]]],[]]] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[],[[[[]],[]]],[]]] => [[[],[[[],[[]]]],[]]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[[],[[[[]],[]],[]]]] => [[[[],[[],[[]]]],[]]] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[[],[[[[]],[],[]]]]] => [[[[[],[],[[]]]],[]]] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[[],[[[[]],[[]]]]]] => [[[[[[]],[[]]]],[]]] => [[[[[.,.],[[.,.],.]],.],[.,.]],.]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[],[[[[],[]]]]],[]] => [[],[[[[[],[]]]],[]]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[[],[[[[],[]]]],[]]] => [[[],[[[[],[]]]],[]]] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[[],[[[[],[]]],[]]]] => [[[[],[[[],[]]]],[]]] => [[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[],[[[[],[]],[]]]]] => [[[[[],[[],[]]]],[]]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[],[[[[],[],[]]]]]] => [[[[[[],[],[]]]],[]]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[[],[[[[],[[]]]]]]] => [[[[[[[]],[]]]],[]]] => [[[[[[.,.],[.,.]],.],.],[.,.]],.]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[],[[[[[]]]]]],[]] => [[],[[[[[[]]]]],[]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[],[[[[[]]]]],[]]] => [[[],[[[[[]]]]],[]]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[[],[[[[[]]]],[]]]] => [[[[],[[[[]]]]],[]]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[[],[[[[[]]],[]]]]] => [[[[[],[[[]]]]],[]]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[[],[[[[[]],[]]]]]] => [[[[[[],[[]]]]],[]]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[],[[[[[],[]]]]]]] => [[[[[[[],[]]]]],[]]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[]]] => [[[[[[[.,.],.],.],.],.],[.,.]],.]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[]]],[],[],[],[[]]] => [[[]],[],[],[],[[[]]]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[]]],[],[],[[]],[]] => [[],[[]],[],[],[[[]]]] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[]]],[],[],[[],[]]] => [[[],[]],[],[],[[[]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[]]],[],[],[[[]]]] => [[[[]]],[],[],[[[]]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[]]],[],[[]],[],[]] => [[],[],[[]],[],[[[]]]] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [[[[]]],[],[[]],[[]]] => [[[]],[[]],[],[[[]]]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[]]],[],[[],[]],[]] => [[],[[],[]],[],[[[]]]] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [[[[]]],[],[[],[],[]]] => [[[],[],[]],[],[[[]]]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [[[[]]],[],[[],[[]]]] => [[[[]],[]],[],[[[]]]] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[]]],[],[[[]]],[]] => [[],[[[]]],[],[[[]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[[]]],[],[[[]],[]]] => [[[],[[]]],[],[[[]]]] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [[[[]]],[],[[[],[]]]] => [[[[],[]]],[],[[[]]]] => [[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[[[]]],[],[[[[]]]]] => [[[[[]]]],[],[[[]]]] => [[[[.,.],.],.],[.,[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[]]],[[]],[],[],[]] => [[],[],[],[[]],[[[]]]] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [[[[]]],[[]],[],[[]]] => [[[]],[],[[]],[[[]]]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[]]],[[]],[[]],[]] => [[],[[]],[[]],[[[]]]] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[[]]],[[]],[[],[]]] => [[[],[]],[[]],[[[]]]] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [[[[]]],[[]],[[[]]]] => [[[[]]],[[]],[[[]]]] => [[[.,.],.],[[.,.],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[]]],[[],[]],[],[]] => [[],[],[[],[]],[[[]]]] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [[[[]]],[[],[]],[[]]] => [[[]],[[],[]],[[[]]]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [[[[]]],[[],[],[]],[]] => [[],[[],[],[]],[[[]]]] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[[[]]],[[],[],[],[]]] => [[[],[],[],[]],[[[]]]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [[[[]]],[[],[],[[]]]] => [[[[]],[],[]],[[[]]]] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[]]],[[],[[]]],[]] => [[],[[[]],[]],[[[]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [[[[]]],[[],[[]],[]]] => [[[],[[]],[]],[[[]]]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[]]]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[[[]]],[[],[[[]]]]] => [[[[[]]],[]],[[[]]]] => [[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[]]],[[[]]],[],[]] => [[],[],[[[]]],[[[]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[[[]]],[[[]]],[[]]] => [[[]],[[[]]],[[[]]]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [[[[]]],[[[]],[]],[]] => [[],[[],[[]]],[[[]]]] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [[[[]]],[[[]],[],[]]] => [[[],[],[[]]],[[[]]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [[[[]]],[[[]],[[]]]] => [[[[]],[[]]],[[[]]]] => [[[.,.],[[.,.],.]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [[[[]]],[[[],[]]],[]] => [[],[[[],[]]],[[[]]]] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[]]]] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [[[[]]],[[[],[],[]]]] => [[[[],[],[]]],[[[]]]] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [[[[]]],[[[],[[]]]]] => [[[[[]],[]]],[[[]]]] => [[[[.,.],[.,.]],.],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[]]],[[[[]]]],[]] => [[],[[[[]]]],[[[]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [[[[]]],[[[[]]],[]]] => [[[],[[[]]]],[[[]]]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [[[[]]],[[[[]],[]]]] => [[[[],[[]]]],[[[]]]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[[[]]],[[[[],[]]]]] => [[[[[],[]]]],[[[]]]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[]]],[[[[[]]]]]] => [[[[[[]]]]],[[[]]]] => [[[[[.,.],.],.],.],[[[.,.],.],.]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[]],[]],[],[],[],[]] => [[],[],[],[],[[],[[]]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [[[[]],[]],[],[],[[]]] => [[[]],[],[],[[],[[]]]] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[]],[]],[],[[]],[]] => [[],[[]],[],[[],[[]]]] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [[[[]],[]],[],[[],[]]] => [[[],[]],[],[[],[[]]]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [[[[]],[]],[],[[[]]]] => [[[[]]],[],[[],[[]]]] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[]],[]],[[]],[],[]] => [[],[],[[]],[[],[[]]]] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[]],[[]],[[]]] => [[[]],[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[[[]],[]],[[],[]],[]] => [[],[[],[]],[[],[[]]]] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [[[[]],[]],[[],[],[]]] => [[[],[],[]],[[],[[]]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [[[[]],[]],[[],[[]]]] => [[[[]],[]],[[],[[]]]] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [[[[]],[]],[[[]]],[]] => [[],[[[]]],[[],[[]]]] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[]],[[[]],[]]] => [[[],[[]]],[[],[[]]]] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [[[[]],[]],[[[],[]]]] => [[[[],[]]],[[],[[]]]] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [[[[]],[]],[[[[]]]]] => [[[[[]]]],[[],[[]]]] => [[[[.,.],.],.],[[.,[[.,.],.]],.]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[]],[],[]],[],[],[]] => [[],[],[],[[],[],[[]]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [[[[]],[],[]],[],[[]]] => [[[]],[],[[],[],[[]]]] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [[[[]],[],[]],[[]],[]] => [[],[[]],[[],[],[[]]]] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [[[[]],[],[]],[[],[]]] => [[[],[]],[[],[],[[]]]] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [[[[]],[],[]],[[[]]]] => [[[[]]],[[],[],[[]]]] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[]],[],[],[]],[],[]] => [[],[],[[],[],[],[[]]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [[[[]],[],[],[]],[[]]] => [[[]],[[],[],[],[[]]]] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[[[]],[],[],[],[]],[]] => [[],[[],[],[],[],[[]]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[]]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [[[[]],[],[],[],[[]]]] => [[[[]],[],[],[],[[]]]] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [[[[]],[],[],[[]]],[]] => [[],[[[]],[],[],[[]]]] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [[[[]],[],[],[[]],[]]] => [[[],[[]],[],[],[[]]]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [[[[]],[],[],[[],[]]]] => [[[[],[]],[],[],[[]]]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [[[[]],[],[],[[[]]]]] => [[[[[]]],[],[],[[]]]] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[[]],[],[[]]],[],[]] => [[],[],[[[]],[],[[]]]] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [[[[]],[],[[]]],[[]]] => [[[]],[[[]],[],[[]]]] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [[[[]],[],[[]],[]],[]] => [[],[[],[[]],[],[[]]]] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [[[[]],[],[[]],[],[]]] => [[[],[],[[]],[],[[]]]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [[[[]],[],[[]],[[]]]] => [[[[]],[[]],[],[[]]]] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [[[[]],[],[[],[]]],[]] => [[],[[[],[]],[],[[]]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [[[[]],[],[[],[]],[]]] => [[[],[[],[]],[],[[]]]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [[[[]],[],[[],[],[]]]] => [[[[],[],[]],[],[[]]]] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[]],[],[[],[[]]]]] => [[[[[]],[]],[],[[]]]] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [[[[]],[],[[[]]]],[]] => [[],[[[[]]],[],[[]]]] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[[]],[],[[[]]],[]]] => [[[],[[[]]],[],[[]]]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[]],[],[[[]],[]]]] => [[[[],[[]]],[],[[]]]] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [[[[]],[],[[[],[]]]]] => [[[[[],[]]],[],[[]]]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [[[[]],[],[[[[]]]]]] => [[[[[[]]]],[],[[]]]] => [[[[[.,.],.],.],[.,[[.,.],.]]],.]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[]],[[]]],[],[],[]] => [[],[],[],[[[]],[[]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [[[[]],[[]]],[],[[]]] => [[[]],[],[[[]],[[]]]] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[[[]],[[]]],[[]],[]] => [[],[[]],[[[]],[[]]]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [[[[]],[[]]],[[],[]]] => [[[],[]],[[[]],[[]]]] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [[[[]],[[]]],[[[]]]] => [[[[]]],[[[]],[[]]]] => [[[.,.],.],[[[.,.],[[.,.],.]],.]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [[[[]],[[]],[]],[],[]] => [[],[],[[],[[]],[[]]]] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[]],[]],[[]]] => [[[]],[[],[[]],[[]]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [[[[]],[[]],[],[]],[]] => [[],[[],[],[[]],[[]]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [[[[]],[[]],[],[],[]]] => [[[],[],[],[[]],[[]]]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[[]],[],[[]]]] => [[[[]],[],[[]],[[]]]] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]],[[]]],[]] => [[],[[[]],[[]],[[]]]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[[]],[]]] => [[[],[[]],[[]],[[]]]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[]],[[],[]]]] => [[[[],[]],[[]],[[]]]] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[]],[[[]]]]] => [[[[[]]],[[]],[[]]]] => [[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[]],[[],[]]],[],[]] => [[],[],[[[],[]],[[]]]] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [[[[]],[[],[]]],[[]]] => [[[]],[[[],[]],[[]]]] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [[[[]],[[],[]],[]],[]] => [[],[[],[[],[]],[[]]]] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [[[[]],[[],[]],[],[]]] => [[[],[],[[],[]],[[]]]] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [[[[]],[[],[]],[[]]]] => [[[[]],[[],[]],[[]]]] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[[[]],[[],[],[]]],[]] => [[],[[[],[],[]],[[]]]] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [[[[]],[[],[],[]],[]]] => [[[],[[],[],[]],[[]]]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [[[[]],[[],[],[],[]]]] => [[[[],[],[],[]],[[]]]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[[]],[[],[],[[]]]]] => [[[[[]],[],[]],[[]]]] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[[[]],[[],[[]]]],[]] => [[],[[[[]],[]],[[]]]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [[[[]],[[],[[]]],[]]] => [[[],[[[]],[]],[[]]]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [[[[]],[[],[[]],[]]]] => [[[[],[[]],[]],[[]]]] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[]]]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [[[[]],[[],[[[]]]]]] => [[[[[[]]],[]],[[]]]] => [[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [[[[]],[[[]]]],[],[]] => [[],[],[[[[]]],[[]]]] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [[[[]],[[[]]]],[[]]] => [[[]],[[[[]]],[[]]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [[[[]],[[[]]],[]],[]] => [[],[[],[[[]]],[[]]]] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [[[[]],[[[]]],[],[]]] => [[[],[],[[[]]],[[]]]] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [[[[]],[[[]]],[[]]]] => [[[[]],[[[]]],[[]]]] => [[[.,.],[[[.,.],.],[[.,.],.]]],.]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [[[[]],[[[]],[]]],[]] => [[],[[[],[[]]],[[]]]] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[[]],[]],[]]] => [[[],[[],[[]]],[[]]]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [[[[]],[[[]],[],[]]]] => [[[[],[],[[]]],[[]]]] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [[[[]],[[[]],[[]]]]] => [[[[[]],[[]]],[[]]]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [[[[]],[[[],[]]]],[]] => [[],[[[[],[]]],[[]]]] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[[]],[[[],[]]],[]]] => [[[],[[[],[]]],[[]]]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[[[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[]]]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [[[[]],[[[],[],[]]]]] => [[[[[],[],[]]],[[]]]] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [[[[]],[[[],[[]]]]]] => [[[[[[]],[]]],[[]]]] => [[[[[.,.],[.,.]],.],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [[[[]],[[[[]]]]],[]] => [[],[[[[[]]]],[[]]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [[[[]],[[[[]]]],[]]] => [[[],[[[[]]]],[[]]]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [[[[]],[[[[]]],[]]]] => [[[[],[[[]]]],[[]]]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [[[[]],[[[[]],[]]]]] => [[[[[],[[]]]],[[]]]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[[[]],[[[[],[]]]]]] => [[[[[[],[]]]],[[]]]] => [[[[[.,[.,.]],.],.],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[]],[[[[[]]]]]]] => [[[[[[[]]]]],[[]]]] => [[[[[[.,.],.],.],.],[[.,.],.]],.]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[],[]]],[],[],[],[]] => [[],[],[],[],[[[],[]]]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[],[]]],[],[],[[]]] => [[[]],[],[],[[[],[]]]] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[],[]]],[],[[]],[]] => [[],[[]],[],[[[],[]]]] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[],[]]],[],[[],[]]] => [[[],[]],[],[[[],[]]]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [[[[],[]]],[],[[[]]]] => [[[[]]],[],[[[],[]]]] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[],[]]],[[]],[],[]] => [[],[],[[]],[[[],[]]]] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[],[]]],[[]],[[]]] => [[[]],[[]],[[[],[]]]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[],[]]],[[],[]],[]] => [[],[[],[]],[[[],[]]]] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [[[[],[]]],[[],[],[]]] => [[[],[],[]],[[[],[]]]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [[[[],[]]],[[],[[]]]] => [[[[]],[]],[[[],[]]]] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[[[],[]]],[[[]]],[]] => [[],[[[]]],[[[],[]]]] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [[[[],[]]],[[[]],[]]] => [[[],[[]]],[[[],[]]]] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [[[[],[]]],[[[],[]]]] => [[[[],[]]],[[[],[]]]] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[[[],[]]],[[[[]]]]] => [[[[[]]]],[[[],[]]]] => [[[[.,.],.],.],[[[.,[.,.]],.],.]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[],[]],[]],[],[],[]] => [[],[],[],[[],[[],[]]]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [[[[],[]],[]],[],[[]]] => [[[]],[],[[],[[],[]]]] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[],[]],[]],[[]],[]] => [[],[[]],[[],[[],[]]]] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[],[]],[]],[[],[]]] => [[[],[]],[[],[[],[]]]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [[[[],[]],[]],[[[]]]] => [[[[]]],[[],[[],[]]]] => [[[.,.],.],[[.,[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [[[[],[]],[],[]],[],[]] => [[],[],[[],[],[[],[]]]] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [[[[],[]],[],[]],[[]]] => [[[]],[[],[],[[],[]]]] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[[[],[]],[],[],[]],[]] => [[],[[],[],[],[[],[]]]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[],[]],[],[],[],[]]] => [[[],[],[],[],[[],[]]]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [[[[],[]],[],[],[[]]]] => [[[[]],[],[],[[],[]]]] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [[[[],[]],[],[[]]],[]] => [[],[[[]],[],[[],[]]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [[[[],[]],[],[[]],[]]] => [[[],[[]],[],[[],[]]]] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [[[[],[]],[],[[],[]]]] => [[[[],[]],[],[[],[]]]] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [[[[],[]],[],[[[]]]]] => [[[[[]]],[],[[],[]]]] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [[[[],[]],[[]]],[],[]] => [[],[],[[[]],[[],[]]]] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [[[[],[]],[[]]],[[]]] => [[[]],[[[]],[[],[]]]] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [[[[],[]],[[]],[]],[]] => [[],[[],[[]],[[],[]]]] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[[[],[]],[[]],[],[]]] => [[[],[],[[]],[[],[]]]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [[[[],[]],[[]],[[]]]] => [[[[]],[[]],[[],[]]]] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [[[[],[]],[[],[]]],[]] => [[],[[[],[]],[[],[]]]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[],[]],[[],[]],[]]] => [[[],[[],[]],[[],[]]]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [[[[],[]],[[],[],[]]]] => [[[[],[],[]],[[],[]]]] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[],[]],[[],[[]]]]] => [[[[[]],[]],[[],[]]]] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [[[[],[]],[[[]]]],[]] => [[],[[[[]]],[[],[]]]] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[],[]],[[[]]],[]]] => [[[],[[[]]],[[],[]]]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [[[[],[]],[[[]],[]]]] => [[[[],[[]]],[[],[]]]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [[[[],[]],[[[],[]]]]] => [[[[[],[]]],[[],[]]]] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [[[[],[]],[[[[]]]]]] => [[[[[[]]]],[[],[]]]] => [[[[[.,.],.],.],[[.,[.,.]],.]],.]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[],[],[]]],[],[],[]] => [[],[],[],[[[],[],[]]]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [[[[],[],[]]],[],[[]]] => [[[]],[],[[[],[],[]]]] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[],[],[]]],[[]],[]] => [[],[[]],[[[],[],[]]]] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[],[]]],[[],[]]] => [[[],[]],[[[],[],[]]]] => [[.,[.,.]],[[[.,[.,[.,.]]],.],.]]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [[[[],[],[]]],[[[]]]] => [[[[]]],[[[],[],[]]]] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [[[[],[],[]],[]],[],[]] => [[],[],[[],[[],[],[]]]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[[[],[],[]],[]],[[]]] => [[[]],[[],[[],[],[]]]] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [[[[],[],[]],[],[]],[]] => [[],[[],[],[[],[],[]]]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[[[],[],[]],[],[],[]]] => [[[],[],[],[[],[],[]]]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[],[]],[],[[]]]] => [[[[]],[],[[],[],[]]]] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [[[[],[],[]],[[]]],[]] => [[],[[[]],[[],[],[]]]] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [[[[],[],[]],[[]],[]]] => [[[],[[]],[[],[],[]]]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [[[[],[],[]],[[],[]]]] => [[[[],[]],[[],[],[]]]] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[],[],[]],[[[]]]]] => [[[[[]]],[[],[],[]]]] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[],[],[],[]]],[],[]] => [[],[],[[[],[],[],[]]]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[[[],[],[],[]]],[[]]] => [[[]],[[[],[],[],[]]]] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[[[],[],[],[]],[]],[]] => [[],[[],[[],[],[],[]]]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[[[],[],[],[]],[],[]]] => [[[],[],[[],[],[],[]]]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[[[],[],[],[]],[[]]]] => [[[[]],[[],[],[],[]]]] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[],[],[]]],[]] => [[],[[[],[],[],[],[]]]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[],[],[]],[]]] => [[[],[[],[],[],[],[]]]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[]]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[],[],[[]]]]] => [[[[[]],[],[],[],[]]]] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[[[],[],[],[[]]]],[]] => [[],[[[[]],[],[],[]]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [[[[],[],[],[[]]],[]]] => [[[],[[[]],[],[],[]]]] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [[[[],[],[],[[]],[]]]] => [[[[],[[]],[],[],[]]]] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[[[],[],[],[[],[]]]]] => [[[[[],[]],[],[],[]]]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[[],[],[],[[[]]]]]] => [[[[[[]]],[],[],[]]]] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[],[],[[]]]],[],[]] => [[],[],[[[[]],[],[]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [[[[],[],[[]]]],[[]]] => [[[]],[[[[]],[],[]]]] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[[[],[],[[]]],[]],[]] => [[],[[],[[[]],[],[]]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[[[],[],[[]]],[],[]]] => [[[],[],[[[]],[],[]]]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [[[[],[],[[]]],[[]]]] => [[[[]],[[[]],[],[]]]] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [[[[],[],[[]],[]]],[]] => [[],[[[],[[]],[],[]]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [[[[],[],[[]],[]],[]]] => [[[],[[],[[]],[],[]]]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[[[],[],[[]],[],[]]]] => [[[[],[],[[]],[],[]]]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[[[],[],[[]],[[]]]]] => [[[[[]],[[]],[],[]]]] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [[[[],[],[[],[]]]],[]] => [[],[[[[],[]],[],[]]]] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[],[],[[],[]]],[]]] => [[[],[[[],[]],[],[]]]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [[[[],[],[[],[]],[]]]] => [[[[],[[],[]],[],[]]]] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[[[],[],[[],[],[]]]]] => [[[[[],[],[]],[],[]]]] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [[[[],[],[[],[[]]]]]] => [[[[[[]],[]],[],[]]]] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [[[[],[],[[[]]]]],[]] => [[],[[[[[]]],[],[]]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[[],[],[[[]]]],[]]] => [[[],[[[[]]],[],[]]]] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [[[[],[],[[[]]],[]]]] => [[[[],[[[]]],[],[]]]] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [[[[],[],[[[]],[]]]]] => [[[[[],[[]]],[],[]]]] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[[[],[],[[[],[]]]]]] => [[[[[[],[]]],[],[]]]] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [[[[],[],[[[[]]]]]]] => [[[[[[[]]]],[],[]]]] => [[[[[[.,.],.],.],[.,[.,.]]],.],.]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[],[[]]]],[],[],[]] => [[],[],[],[[[[]],[]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [[[[],[[]]]],[],[[]]] => [[[]],[],[[[[]],[]]]] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[],[[]]]],[[]],[]] => [[],[[]],[[[[]],[]]]] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [[[[],[[]]]],[[],[]]] => [[[],[]],[[[[]],[]]]] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[],[[]]]],[[[]]]] => [[[[]]],[[[[]],[]]]] => [[[.,.],.],[[[[.,.],[.,.]],.],.]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [[[[],[[]]],[]],[],[]] => [[],[],[[],[[[]],[]]]] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [[[[],[[]]],[]],[[]]] => [[[]],[[],[[[]],[]]]] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [[[[],[[]]],[],[]],[]] => [[],[[],[],[[[]],[]]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[],[[]]],[],[],[]]] => [[[],[],[],[[[]],[]]]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[],[[]]],[],[[]]]] => [[[[]],[],[[[]],[]]]] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [[[[],[[]]],[[]]],[]] => [[],[[[]],[[[]],[]]]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [[[[],[[]]],[[]],[]]] => [[[],[[]],[[[]],[]]]] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[],[[]]],[[],[]]]] => [[[[],[]],[[[]],[]]]] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [[[[],[[]]],[[[]]]]] => [[[[[]]],[[[]],[]]]] => [[[[.,.],.],[[[.,.],[.,.]],.]],.]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[],[[]],[]]],[],[]] => [[],[],[[[],[[]],[]]]] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [[[[],[[]],[]]],[[]]] => [[[]],[[[],[[]],[]]]] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[[[],[[]],[]],[]],[]] => [[],[[],[[],[[]],[]]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [[[[],[[]],[]],[],[]]] => [[[],[],[[],[[]],[]]]] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [[[[],[[]],[]],[[]]]] => [[[[]],[[],[[]],[]]]] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[],[[]],[],[]]],[]] => [[],[[[],[],[[]],[]]]] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [[[[],[[]],[],[]],[]]] => [[[],[[],[],[[]],[]]]] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [[[[],[[]],[],[],[]]]] => [[[[],[],[],[[]],[]]]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[[[],[[]],[],[[]]]]] => [[[[[]],[],[[]],[]]]] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [[[[],[[]],[[]]]],[]] => [[],[[[[]],[[]],[]]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [[[[],[[]],[[]]],[]]] => [[[],[[[]],[[]],[]]]] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[[]],[]]]] => [[[[],[[]],[[]],[]]]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [[[[],[[]],[[],[]]]]] => [[[[[],[]],[[]],[]]]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[],[[]],[[[]]]]]] => [[[[[[]]],[[]],[]]]] => [[[[[.,.],.],[[.,.],[.,.]]],.],.]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[],[[],[]]]],[],[]] => [[],[],[[[[],[]],[]]]] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [[[[],[[],[]]]],[[]]] => [[[]],[[[[],[]],[]]]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [[[[],[[],[]]],[]],[]] => [[],[[],[[[],[]],[]]]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[],[[],[]]],[],[]]] => [[[],[],[[[],[]],[]]]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [[[[],[[],[]]],[[]]]] => [[[[]],[[[],[]],[]]]] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [[[[],[[],[]],[]]],[]] => [[],[[[],[[],[]],[]]]] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[],[[],[]],[]],[]]] => [[[],[[],[[],[]],[]]]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [[[[],[[],[]],[],[]]]] => [[[[],[],[[],[]],[]]]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[],[[],[]],[[]]]]] => [[[[[]],[[],[]],[]]]] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[],[[],[],[]]]],[]] => [[],[[[[],[],[]],[]]]] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[],[[],[],[]]],[]]] => [[[],[[[],[],[]],[]]]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [[[[],[[],[],[]],[]]]] => [[[[],[[],[],[]],[]]]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[],[[],[],[],[]]]]] => [[[[[],[],[],[]],[]]]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[[[],[[],[],[[]]]]]] => [[[[[[]],[],[]],[]]]] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[[[],[[],[[]]]]],[]] => [[],[[[[[]],[]],[]]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [[[[],[[],[[]]]],[]]] => [[[],[[[[]],[]],[]]]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[],[[],[[]]],[]]]] => [[[[],[[[]],[]],[]]]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[[[],[[],[[]],[]]]]] => [[[[[],[[]],[]],[]]]] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]]]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [[[[],[[],[[[]]]]]]] => [[[[[[[]]],[]],[]]]] => [[[[[[.,.],.],[.,.]],[.,.]],.],.]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[],[[[]]]]],[],[]] => [[],[],[[[[[]]],[]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [[[[],[[[]]]]],[[]]] => [[[]],[[[[[]]],[]]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [[[[],[[[]]]],[]],[]] => [[],[[],[[[[]]],[]]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [[[[],[[[]]]],[],[]]] => [[[],[],[[[[]]],[]]]] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [[[[],[[[]]]],[[]]]] => [[[[]],[[[[]]],[]]]] => [[[.,.],[[[[.,.],.],[.,.]],.]],.]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[],[[[]]],[]]],[]] => [[],[[[],[[[]]],[]]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [[[[],[[[]]],[]],[]]] => [[[],[[],[[[]]],[]]]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [[[[],[[[]]],[],[]]]] => [[[[],[],[[[]]],[]]]] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[],[[[]]],[[]]]]] => [[[[[]],[[[]]],[]]]] => [[[[.,.],[[[.,.],.],[.,.]]],.],.]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[],[[[]],[]]]],[]] => [[],[[[[],[[]]],[]]]] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[],[[[]],[]]],[]]] => [[[],[[[],[[]]],[]]]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [[[[],[[[]],[]],[]]]] => [[[[],[[],[[]]],[]]]] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[[[],[[[]],[],[]]]]] => [[[[[],[],[[]]],[]]]] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [[[[],[[[]],[[]]]]]] => [[[[[[]],[[]]],[]]]] => [[[[[.,.],[[.,.],.]],[.,.]],.],.]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [[[[],[[[],[]]]]],[]] => [[],[[[[[],[]]],[]]]] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[[[],[[[],[]]]],[]]] => [[[],[[[[],[]]],[]]]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [[[[],[[[],[]]],[]]]] => [[[[],[[[],[]]],[]]]] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [[[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]]]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[],[[[],[],[]]]]]] => [[[[[[],[],[]]],[]]]] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[[[],[[[],[[]]]]]]] => [[[[[[[]],[]]],[]]]] => [[[[[[.,.],[.,.]],.],[.,.]],.],.]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [[[[],[[[[]]]]]],[]] => [[],[[[[[[]]]],[]]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [[[[],[[[[]]]]],[]]] => [[[],[[[[[]]]],[]]]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[],[[[[]]]],[]]]] => [[[[],[[[[]]]],[]]]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [[[[],[[[[]]],[]]]]] => [[[[[],[[[]]]],[]]]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [[[[],[[[[]],[]]]]]] => [[[[[[],[[]]]],[]]]] => [[[[[.,[[.,.],.]],.],[.,.]],.],.]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[],[[[[],[]]]]]]] => [[[[[[[],[]]]],[]]]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[],[[[[[]]]]]]]] => [[[[[[[[]]]]],[]]]] => [[[[[[[.,.],.],.],.],[.,.]],.],.]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[],[]] => [[],[],[],[],[[[[]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [[[[[]]]],[],[],[[]]] => [[[]],[],[],[[[[]]]]] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[]]]],[],[[]],[]] => [[],[[]],[],[[[[]]]]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[[]]]],[],[[],[]]] => [[[],[]],[],[[[[]]]]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [[[[[]]]],[],[[[]]]] => [[[[]]],[],[[[[]]]]] => [[[.,.],.],[.,[[[[.,.],.],.],.]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[[[]]]],[[]],[],[]] => [[],[],[[]],[[[[]]]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[[[]]]],[[]],[[]]] => [[[]],[[]],[[[[]]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [[[[[]]]],[[],[]],[]] => [[],[[],[]],[[[[]]]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [[[[[]]]],[[],[],[]]] => [[[],[],[]],[[[[]]]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [[[[[]]]],[[],[[]]]] => [[[[]],[]],[[[[]]]]] => [[[.,.],[.,.]],[[[[.,.],.],.],.]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[]]]],[[[]]],[]] => [[],[[[]]],[[[[]]]]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [[[[[]]]],[[[]],[]]] => [[[],[[]]],[[[[]]]]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[[]]]],[[[],[]]]] => [[[[],[]]],[[[[]]]]] => [[[.,[.,.]],.],[[[[.,.],.],.],.]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[]]]],[[[[]]]]] => [[[[[]]]],[[[[]]]]] => [[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [[[[[]]],[]],[],[],[]] => [[],[],[],[[],[[[]]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [[[[[]]],[]],[],[[]]] => [[[]],[],[[],[[[]]]]] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[[[[]]],[]],[[]],[]] => [[],[[]],[[],[[[]]]]] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[[]]],[]],[[],[]]] => [[[],[]],[[],[[[]]]]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [[[[[]]],[]],[[[]]]] => [[[[]]],[[],[[[]]]]] => [[[.,.],.],[[.,[[[.,.],.],.]],.]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [[[[[]]],[],[]],[],[]] => [[],[],[[],[],[[[]]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [[[[[]]],[],[]],[[]]] => [[[]],[[],[],[[[]]]]] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[[[[]]],[],[],[]],[]] => [[],[[],[],[],[[[]]]]] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[[]]],[],[],[],[]]] => [[[],[],[],[],[[[]]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [[[[[]]],[],[],[[]]]] => [[[[]],[],[],[[[]]]]] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[[[[]]],[],[[]]],[]] => [[],[[[]],[],[[[]]]]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [[[[[]]],[],[[]],[]]] => [[[],[[]],[],[[[]]]]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[[[[]]],[],[[],[]]]] => [[[[],[]],[],[[[]]]]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [[[[[]]],[],[[[]]]]] => [[[[[]]],[],[[[]]]]] => [[[[.,.],.],[.,[[[.,.],.],.]]],.]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [[[[[]]],[[]]],[],[]] => [[],[],[[[]],[[[]]]]] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [[[[[]]],[[]]],[[]]] => [[[]],[[[]],[[[]]]]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [[[[[]]],[[]],[]],[]] => [[],[[],[[]],[[[]]]]] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [[[[[]]],[[]],[],[]]] => [[[],[],[[]],[[[]]]]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [[[[[]]],[[]],[[]]]] => [[[[]],[[]],[[[]]]]] => [[[.,.],[[.,.],[[[.,.],.],.]]],.]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[[[[]]],[[],[]]],[]] => [[],[[[],[]],[[[]]]]] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[[[[]]],[[],[]],[]]] => [[[],[[],[]],[[[]]]]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [[[[[]]],[[],[],[]]]] => [[[[],[],[]],[[[]]]]] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[[[]]],[[],[[]]]]] => [[[[[]],[]],[[[]]]]] => [[[[.,.],[.,.]],[[[.,.],.],.]],.]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[[[[]]],[[[]]]],[]] => [[],[[[[]]],[[[]]]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[[[]]],[[[]]],[]]] => [[[],[[[]]],[[[]]]]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [[[[[]]],[[[]],[]]]] => [[[[],[[]]],[[[]]]]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [[[[[]]],[[[],[]]]]] => [[[[[],[]]],[[[]]]]] => [[[[.,[.,.]],.],[[[.,.],.],.]],.]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[]]],[[[[]]]]]] => [[[[[[]]]],[[[]]]]] => [[[[[.,.],.],.],[[[.,.],.],.]],.]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [[[[[]],[]]],[],[],[]] => [[],[],[],[[[],[[]]]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [[[[[]],[]]],[],[[]]] => [[[]],[],[[[],[[]]]]] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[[[]],[]]],[[]],[]] => [[],[[]],[[[],[[]]]]] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[[[]],[]]],[[],[]]] => [[[],[]],[[[],[[]]]]] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [[[[[]],[]]],[[[]]]] => [[[[]]],[[[],[[]]]]] => [[[.,.],.],[[[.,[[.,.],.]],.],.]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[[]],[]],[]],[],[]] => [[],[],[[],[[],[[]]]]] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[]],[]],[[]]] => [[[]],[[],[[],[[]]]]] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [[[[[]],[]],[],[]],[]] => [[],[[],[],[[],[[]]]]] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [[[[[]],[]],[],[],[]]] => [[[],[],[],[[],[[]]]]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[[]],[]],[],[[]]]] => [[[[]],[],[[],[[]]]]] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [[[[[]],[]],[[]]],[]] => [[],[[[]],[[],[[]]]]] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[]],[[]],[]]] => [[[],[[]],[[],[[]]]]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[[[[]],[]],[[],[]]]] => [[[[],[]],[[],[[]]]]] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [[[[[]],[]],[[[]]]]] => [[[[[]]],[[],[[]]]]] => [[[[.,.],.],[[.,[[.,.],.]],.]],.]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [[[[[]],[],[]]],[],[]] => [[],[],[[[],[],[[]]]]] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[[[[]],[],[]]],[[]]] => [[[]],[[[],[],[[]]]]] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[[[[]],[],[]],[]],[]] => [[],[[],[[],[],[[]]]]] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [[[[[]],[],[]],[],[]]] => [[[],[],[[],[],[[]]]]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [[[[[]],[],[]],[[]]]] => [[[[]],[[],[],[[]]]]] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [[[[[]],[],[],[]]],[]] => [[],[[[],[],[],[[]]]]] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [[[[[]],[],[],[]],[]]] => [[[],[[],[],[],[[]]]]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[[]],[],[],[],[]]]] => [[[[],[],[],[],[[]]]]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [[[[[]],[],[],[[]]]]] => [[[[[]],[],[],[[]]]]] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [[[[[]],[],[[]]]],[]] => [[],[[[[]],[],[[]]]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [[[[[]],[],[[]]],[]]] => [[[],[[[]],[],[[]]]]] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [[[[[]],[],[[]],[]]]] => [[[[],[[]],[],[[]]]]] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [[[[[]],[],[[],[]]]]] => [[[[[],[]],[],[[]]]]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [[[[[]],[],[[[]]]]]] => [[[[[[]]],[],[[]]]]] => [[[[[.,.],.],[.,[[.,.],.]]],.],.]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[[[[]],[[]]]],[],[]] => [[],[],[[[[]],[[]]]]] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [[[[[]],[[]]]],[[]]] => [[[]],[[[[]],[[]]]]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[[[[]],[[]]],[]],[]] => [[],[[],[[[]],[[]]]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [[[[[]],[[]]],[],[]]] => [[[],[],[[[]],[[]]]]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[[[]],[[]]],[[]]]] => [[[[]],[[[]],[[]]]]] => [[[.,.],[[[.,.],[[.,.],.]],.]],.]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [[[[[]],[[]],[]]],[]] => [[],[[[],[[]],[[]]]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[[]],[]],[]]] => [[[],[[],[[]],[[]]]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[[]],[],[]]]] => [[[[],[],[[]],[[]]]]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]],[[]]]]] => [[[[[]],[[]],[[]]]]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[[[[]],[[],[]]]],[]] => [[],[[[[],[]],[[]]]]] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[[[[]],[[],[]]],[]]] => [[[],[[[],[]],[[]]]]] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [[[[[]],[[],[]],[]]]] => [[[[],[[],[]],[[]]]]] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[[[[]],[[],[],[]]]]] => [[[[[],[],[]],[[]]]]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[[[]],[[],[[]]]]]] => [[[[[[]],[]],[[]]]]] => [[[[[.,.],[.,.]],[[.,.],.]],.],.]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [[[[[]],[[[]]]]],[]] => [[],[[[[[]]],[[]]]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[[]],[[[]]]],[]]] => [[[],[[[[]]],[[]]]]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [[[[[]],[[[]]],[]]]] => [[[[],[[[]]],[[]]]]] => [[[.,[[[.,.],.],[[.,.],.]]],.],.]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [[[[[]],[[[]],[]]]]] => [[[[[],[[]]],[[]]]]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [[[[[]],[[[],[]]]]]] => [[[[[[],[]]],[[]]]]] => [[[[[.,[.,.]],.],[[.,.],.]],.],.]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [[[[[]],[[[[]]]]]]] => [[[[[[[]]]],[[]]]]] => [[[[[[.,.],.],.],[[.,.],.]],.],.]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[[[[],[]]]],[],[],[]] => [[],[],[],[[[[],[]]]]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [[[[[],[]]]],[],[[]]] => [[[]],[],[[[[],[]]]]] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[[[[],[]]]],[[]],[]] => [[],[[]],[[[[],[]]]]] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]]]]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [[[[[],[]]]],[[[]]]] => [[[[]]],[[[[],[]]]]] => [[[.,.],.],[[[[.,[.,.]],.],.],.]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [[[[[],[]]],[]],[],[]] => [[],[],[[],[[[],[]]]]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[[],[]]],[]],[[]]] => [[[]],[[],[[[],[]]]]] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [[[[[],[]]],[],[]],[]] => [[],[[],[],[[[],[]]]]] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[[[[],[]]],[],[],[]]] => [[[],[],[],[[[],[]]]]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[[],[]]],[],[[]]]] => [[[[]],[],[[[],[]]]]] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [[[[[],[]]],[[]]],[]] => [[],[[[]],[[[],[]]]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [[[[[],[]]],[[]],[]]] => [[[],[[]],[[[],[]]]]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[[[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]]]]] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[[[],[]]],[[[]]]]] => [[[[[]]],[[[],[]]]]] => [[[[.,.],.],[[[.,[.,.]],.],.]],.]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[[[[],[]],[]]],[],[]] => [[],[],[[[],[[],[]]]]] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [[[[[],[]],[]]],[[]]] => [[[]],[[[],[[],[]]]]] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[],[]],[]],[]],[]] => [[],[[],[[],[[],[]]]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[[],[]],[]],[],[]]] => [[[],[],[[],[[],[]]]]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [[[[[],[]],[]],[[]]]] => [[[[]],[[],[[],[]]]]] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[[[[],[]],[],[]]],[]] => [[],[[[],[],[[],[]]]]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [[[[[],[]],[],[]],[]]] => [[[],[[],[],[[],[]]]]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[[[[],[]],[],[],[]]]] => [[[[],[],[],[[],[]]]]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [[[[[],[]],[],[[]]]]] => [[[[[]],[],[[],[]]]]] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [[[[[],[]],[[]]]],[]] => [[],[[[[]],[[],[]]]]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [[[[[],[]],[[]]],[]]] => [[[],[[[]],[[],[]]]]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[[[[],[]],[[]],[]]]] => [[[[],[[]],[[],[]]]]] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]]]] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[[[[],[]],[[[]]]]]] => [[[[[[]]],[[],[]]]]] => [[[[[.,.],.],[[.,[.,.]],.]],.],.]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [[[[[],[],[]]]],[],[]] => [[],[],[[[[],[],[]]]]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[[[[],[],[]]]],[[]]] => [[[]],[[[[],[],[]]]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[[],[],[]]],[]],[]] => [[],[[],[[[],[],[]]]]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[[[[],[],[]]],[],[]]] => [[[],[],[[[],[],[]]]]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[[[[],[],[]]],[[]]]] => [[[[]],[[[],[],[]]]]] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [[[[[],[],[]],[]]],[]] => [[],[[[],[[],[],[]]]]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[[],[],[]],[]],[]]] => [[[],[[],[[],[],[]]]]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[[[[],[],[]],[],[]]]] => [[[[],[],[[],[],[]]]]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[[[[],[],[]],[[]]]]] => [[[[[]],[[],[],[]]]]] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[[],[],[],[]]]],[]] => [[],[[[[],[],[],[]]]]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[[[[],[],[],[]]],[]]] => [[[],[[[],[],[],[]]]]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[[],[],[],[]],[]]]] => [[[[],[[],[],[],[]]]]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[],[]]]]] => [[[[[],[],[],[],[]]]]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[[],[],[],[[]]]]]] => [[[[[[]],[],[],[]]]]] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[[[[],[],[[]]]]],[]] => [[],[[[[[]],[],[]]]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [[[[[],[],[[]]]],[]]] => [[[],[[[[]],[],[]]]]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[[],[],[[]]],[]]]] => [[[[],[[[]],[],[]]]]] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [[[[[],[],[[]],[]]]]] => [[[[[],[[]],[],[]]]]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[[],[],[[],[]]]]]] => [[[[[[],[]],[],[]]]]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[[[[],[],[[[]]]]]]] => [[[[[[[]]],[],[]]]]] => [[[[[[.,.],.],[.,[.,.]]],.],.],.]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[[[[],[[]]]]],[],[]] => [[],[],[[[[[]],[]]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [[[[[],[[]]]]],[[]]] => [[[]],[[[[[]],[]]]]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [[[[[],[[]]]],[]],[]] => [[],[[],[[[[]],[]]]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [[[[[],[[]]]],[],[]]] => [[[],[],[[[[]],[]]]]] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [[[[[],[[]]]],[[]]]] => [[[[]],[[[[]],[]]]]] => [[[.,.],[[[[.,.],[.,.]],.],.]],.]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[[[[],[[]]],[]]],[]] => [[],[[[],[[[]],[]]]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[[],[[]]],[]],[]]] => [[[],[[],[[[]],[]]]]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[[[[],[[]]],[],[]]]] => [[[[],[],[[[]],[]]]]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[[[],[[]]],[[]]]]] => [[[[[]],[[[]],[]]]]] => [[[[.,.],[[[.,.],[.,.]],.]],.],.]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [[[[[],[[]],[]]]],[]] => [[],[[[[],[[]],[]]]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [[[[[],[[]],[]]],[]]] => [[[],[[[],[[]],[]]]]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [[[[[],[[]],[]],[]]]] => [[[[],[[],[[]],[]]]]] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[[[[],[[]],[],[]]]]] => [[[[[],[],[[]],[]]]]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[[[],[[]],[[]]]]]] => [[[[[[]],[[]],[]]]]] => [[[[[.,.],[[.,.],[.,.]]],.],.],.]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[[[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]]]]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]]]]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [[[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]]]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [[[[[],[[],[]],[]]]]] => [[[[[],[[],[]],[]]]]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[[[[],[[],[],[]]]]]] => [[[[[[],[],[]],[]]]]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[[[],[[],[[]]]]]]] => [[[[[[[]],[]],[]]]]] => [[[[[[.,.],[.,.]],[.,.]],.],.],.]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [[[[[],[[[]]]]]],[]] => [[],[[[[[[]]],[]]]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[[],[[[]]]]],[]]] => [[[],[[[[[]]],[]]]]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [[[[[],[[[]]]],[]]]] => [[[[],[[[[]]],[]]]]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [[[[[],[[[]]],[]]]]] => [[[[[],[[[]]],[]]]]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [[[[[],[[[]],[]]]]]] => [[[[[[],[[]]],[]]]]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[[[[],[[[],[]]]]]]] => [[[[[[[],[]]],[]]]]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[[[[],[[[[]]]]]]]] => [[[[[[[[]]]],[]]]]] => [[[[[[[.,.],.],.],[.,.]],.],.],.]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[]]]]],[],[],[]] => [[],[],[],[[[[[]]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [[[[[[]]]]],[],[[]]] => [[[]],[],[[[[[]]]]]] => [[.,.],[.,[[[[[.,.],.],.],.],.]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[]]]]],[[]],[]] => [[],[[]],[[[[[]]]]]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [[[[[[]]]]],[[],[]]] => [[[],[]],[[[[[]]]]]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[]]]]],[[[]]]] => [[[[]]],[[[[[]]]]]] => [[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[[[]]]],[]],[],[]] => [[],[],[[],[[[[]]]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [[[[[[]]]],[]],[[]]] => [[[]],[[],[[[[]]]]]] => [[.,.],[[.,[[[[.,.],.],.],.]],.]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [[[[[[]]]],[],[]],[]] => [[],[[],[],[[[[]]]]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[[[[[]]]],[],[],[]]] => [[[],[],[],[[[[]]]]]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[[[]]]],[],[[]]]] => [[[[]],[],[[[[]]]]]] => [[[.,.],[.,[[[[.,.],.],.],.]]],.]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [[[[[[]]]],[[]]],[]] => [[],[[[]],[[[[]]]]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [[[[[[]]]],[[]],[]]] => [[[],[[]],[[[[]]]]]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[[[[]]]],[[],[]]]] => [[[[],[]],[[[[]]]]]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[]]]],[[[]]]]] => [[[[[]]],[[[[]]]]]] => [[[[.,.],.],[[[[.,.],.],.],.]],.]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[[[[[]]],[]]],[],[]] => [[],[],[[[],[[[]]]]]] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[[[[[]]],[]]],[[]]] => [[[]],[[[],[[[]]]]]] => [[.,.],[[[.,[[[.,.],.],.]],.],.]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[[[[[]]],[]],[]],[]] => [[],[[],[[],[[[]]]]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[[[]]],[]],[],[]]] => [[[],[],[[],[[[]]]]]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [[[[[[]]],[]],[[]]]] => [[[[]],[[],[[[]]]]]] => [[[.,.],[[.,[[[.,.],.],.]],.]],.]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [[[[[[]]],[],[]]],[]] => [[],[[[],[],[[[]]]]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [[[[[[]]],[],[]],[]]] => [[[],[[],[],[[[]]]]]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [[[[[[]]],[],[],[]]]] => [[[[],[],[],[[[]]]]]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[[[[[]]],[],[[]]]]] => [[[[[]],[],[[[]]]]]] => [[[[.,.],[.,[[[.,.],.],.]]],.],.]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[[[]]],[[]]]],[]] => [[],[[[[]],[[[]]]]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [[[[[[]]],[[]]],[]]] => [[[],[[[]],[[[]]]]]] => [[.,[[[.,.],[[[.,.],.],.]],.]],.]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [[[[[[]]],[[]],[]]]] => [[[[],[[]],[[[]]]]]] => [[[.,[[.,.],[[[.,.],.],.]]],.],.]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[[[[[]]],[[],[]]]]] => [[[[[],[]],[[[]]]]]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [[[[[[]]],[[[]]]]]] => [[[[[[]]],[[[]]]]]] => [[[[[.,.],.],[[[.,.],.],.]],.],.]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[[[[]],[]]]],[],[]] => [[],[],[[[[],[[]]]]]] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[[[[[]],[]]]],[[]]] => [[[]],[[[[],[[]]]]]] => [[.,.],[[[[.,[[.,.],.]],.],.],.]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[[[]],[]]],[]],[]] => [[],[[],[[[],[[]]]]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [[[[[[]],[]]],[],[]]] => [[[],[],[[[],[[]]]]]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[[[]],[]]],[[]]]] => [[[[]],[[[],[[]]]]]] => [[[.,.],[[[.,[[.,.],.]],.],.]],.]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[[[[[]],[]],[]]],[]] => [[],[[[],[[],[[]]]]]] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[]],[]],[]],[]]] => [[[],[[],[[],[[]]]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [[[[[[]],[]],[],[]]]] => [[[[],[],[[],[[]]]]]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[[[[[]],[]],[[]]]]] => [[[[[]],[[],[[]]]]]] => [[[[.,.],[[.,[[.,.],.]],.]],.],.]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[[[[]],[],[]]]],[]] => [[],[[[[],[],[[]]]]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[[[[[]],[],[]]],[]]] => [[[],[[[],[],[[]]]]]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[[[[]],[],[]],[]]]] => [[[[],[[],[],[[]]]]]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[[[[[]],[],[],[]]]]] => [[[[[],[],[],[[]]]]]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[[[[[]],[],[[]]]]]] => [[[[[[]],[],[[]]]]]] => [[[[[.,.],[.,[[.,.],.]]],.],.],.]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [[[[[[]],[[]]]]],[]] => [[],[[[[[]],[[]]]]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [[[[[[]],[[]]]],[]]] => [[[],[[[[]],[[]]]]]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [[[[[[]],[[]]],[]]]] => [[[[],[[[]],[[]]]]]] => [[[.,[[[.,.],[[.,.],.]],.]],.],.]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [[[[[[]],[[]],[]]]]] => [[[[[],[[]],[[]]]]]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[[[[]],[[],[]]]]]] => [[[[[[],[]],[[]]]]]] => [[[[[.,[.,.]],[[.,.],.]],.],.],.]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [[[[[[]],[[[]]]]]]] => [[[[[[[]]],[[]]]]]] => [[[[[[.,.],.],[[.,.],.]],.],.],.]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [[[[[[],[]]]]],[],[]] => [[],[],[[[[[],[]]]]]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[[[[[],[]]]]],[[]]] => [[[]],[[[[[],[]]]]]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[[[[[],[]]]],[]],[]] => [[],[[],[[[[],[]]]]]] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[[[[],[]]]],[],[]]] => [[[],[],[[[[],[]]]]]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [[[[[[],[]]]],[[]]]] => [[[[]],[[[[],[]]]]]] => [[[.,.],[[[[.,[.,.]],.],.],.]],.]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[[[[[],[]]],[]]],[]] => [[],[[[],[[[],[]]]]]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[[[[],[]]],[]],[]]] => [[[],[[],[[[],[]]]]]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [[[[[[],[]]],[],[]]]] => [[[[],[],[[[],[]]]]]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [[[[[[],[]]],[[]]]]] => [[[[[]],[[[],[]]]]]] => [[[[.,.],[[[.,[.,.]],.],.]],.],.]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[[[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]]]]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]]]]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [[[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]]]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [[[[[[],[]],[],[]]]]] => [[[[[],[],[[],[]]]]]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[[[[[],[]],[[]]]]]] => [[[[[[]],[[],[]]]]]] => [[[[[.,.],[[.,[.,.]],.]],.],.],.]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[[],[],[]]]]],[]] => [[],[[[[[],[],[]]]]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [[[[[[],[],[]]]],[]]] => [[[],[[[[],[],[]]]]]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[[[],[],[]]],[]]]] => [[[[],[[[],[],[]]]]]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[[],[],[]],[]]]]] => [[[[[],[[],[],[]]]]]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[],[]]]]]] => [[[[[[],[],[],[]]]]]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[[],[],[[]]]]]]] => [[[[[[[]],[],[]]]]]] => [[[[[[.,.],[.,[.,.]]],.],.],.],.]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[[[[[],[[]]]]]],[]] => [[],[[[[[[]],[]]]]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[[[[[],[[]]]]],[]]] => [[[],[[[[[]],[]]]]]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [[[[[[],[[]]]],[]]]] => [[[[],[[[[]],[]]]]]] => [[[.,[[[[.,.],[.,.]],.],.]],.],.]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[[[[[],[[]]],[]]]]] => [[[[[],[[[]],[]]]]]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[[[[[],[[]],[]]]]]] => [[[[[[],[[]],[]]]]]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[[[[[],[[],[]]]]]]] => [[[[[[[],[]],[]]]]]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[[[[[],[[[]]]]]]]] => [[[[[[[[]]],[]]]]]] => [[[[[[[.,.],.],[.,.]],.],.],.],.]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[[[[[[]]]]]],[],[]] => [[],[],[[[[[[]]]]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[[]]]]]],[[]]] => [[[]],[[[[[[]]]]]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [[[[[[[]]]]],[]],[]] => [[],[[],[[[[[]]]]]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [[[[[[[]]]]],[],[]]] => [[[],[],[[[[[]]]]]]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [[[[[[[]]]]],[[]]]] => [[[[]],[[[[[]]]]]]] => [[[.,.],[[[[[.,.],.],.],.],.]],.]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[[[[[[]]]],[]]],[]] => [[],[[[],[[[[]]]]]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[[[[]]]],[]],[]]] => [[[],[[],[[[[]]]]]]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [[[[[[[]]]],[],[]]]] => [[[[],[],[[[[]]]]]]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[[[[[]]]],[[]]]]] => [[[[[]],[[[[]]]]]]] => [[[[.,.],[[[[.,.],.],.],.]],.],.]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [[[[[[[]]],[]]]],[]] => [[],[[[[],[[[]]]]]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[[[[]]],[]]],[]]] => [[[],[[[],[[[]]]]]]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [[[[[[[]]],[]],[]]]] => [[[[],[[],[[[]]]]]]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [[[[[[[]]],[],[]]]]] => [[[[[],[],[[[]]]]]]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [[[[[[[]]],[[]]]]]] => [[[[[[]],[[[]]]]]]] => [[[[[.,.],[[[.,.],.],.]],.],.],.]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [[[[[[[]],[]]]]],[]] => [[],[[[[[],[[]]]]]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [[[[[[[]],[]]]],[]]] => [[[],[[[[],[[]]]]]]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[[[[[[]],[]]],[]]]] => [[[[],[[[],[[]]]]]]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [[[[[[[]],[]],[]]]]] => [[[[[],[[],[[]]]]]]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[[[[[[]],[],[]]]]]] => [[[[[[],[],[[]]]]]]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [[[[[[[]],[[]]]]]]] => [[[[[[[]],[[]]]]]]] => [[[[[[.,.],[[.,.],.]],.],.],.],.]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[[],[]]]]]],[]] => [[],[[[[[[],[]]]]]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[[[[[],[]]]]],[]]] => [[[],[[[[[],[]]]]]]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[[[[[[],[]]]],[]]]] => [[[[],[[[[],[]]]]]]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[[[[[[],[]]],[]]]]] => [[[[[],[[[],[]]]]]]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[[],[]],[]]]]]] => [[[[[[],[[],[]]]]]]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[],[],[]]]]]]] => [[[[[[[],[],[]]]]]]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[[],[[]]]]]]]] => [[[[[[[[]],[]]]]]]] => [[[[[[[.,.],[.,.]],.],.],.],.],.]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[[[[[[[]]]]]],[]]] => [[[],[[[[[[]]]]]]]] => [[.,[[[[[[.,.],.],.],.],.],.]],.]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[[[[[[[]]]]],[]]]] => [[[[],[[[[[]]]]]]]] => [[[.,[[[[[.,.],.],.],.],.]],.],.]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[[[[[[[]]]],[]]]]] => [[[[[],[[[[]]]]]]]] => [[[[.,[[[[.,.],.],.],.]],.],.],.]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[[[[[[[]]],[]]]]]] => [[[[[[],[[[]]]]]]]] => [[[[[.,[[[.,.],.],.]],.],.],.],.]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[[[[[[[]],[]]]]]]] => [[[[[[[],[[]]]]]]]] => [[[[[[.,[[.,.],.]],.],.],.],.],.]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[[[],[]]]]]]]] => [[[[[[[[],[]]]]]]]] => [[[[[[[.,[.,.]],.],.],.],.],.],.]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]]]] => [[[[[[[[.,.],.],.],.],.],.],.],.]
[] => [] => [] => .
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[[],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[]],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[]] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[]] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[]] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[]] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[],[[[],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[]]],[]] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[]] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[]] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[]] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[]] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[]]] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[],[]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[],[]]] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[]]] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[]]] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[]]]] => [[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[]]]] => [[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[]]] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[]]] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[]]]] => [[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[]]]] => [[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[[],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[]]]]] => [[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[[],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[]]]]]] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[],[[],[[],[[],[[],[[],[]]]]]]] => [[[[[[[],[]],[]],[]],[]],[]],[]] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [[],[[],[[],[[[],[]],[[],[]]]]]] => [[[[[[],[]],[[],[]]],[]],[]],[]] => [[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[[],[[[],[]],[[],[[],[]]]]]] => [[[[[[],[]],[]],[[],[]]],[]],[]] => [[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [[],[[],[[[],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[]]],[]],[]] => [[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[],[[],[[[[],[]],[]],[[],[]]]]] => [[[[[],[]],[[],[[],[]]]],[]],[]] => [[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[[[],[]],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[[],[]]],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[],[[[],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[]]],[]] => [[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[],[[[],[[],[]]],[[],[[],[]]]]] => [[[[[],[]],[]],[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[],[[[[],[]],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[[],[]]]],[]] => [[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [[],[[[],[[],[[],[]]]],[[],[]]]] => [[[[],[]],[[[[],[]],[]],[]]],[]] => [[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [[],[[[],[[[],[]],[]]],[[],[]]]] => [[[[],[]],[[[],[[],[]]],[]]],[]] => [[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[],[[[[],[]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[],[]]]],[]] => [[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [[],[[[[],[[],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[]],[]]]],[]] => [[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[],[[[[[],[]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[],[]]]]],[]] => [[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [[],[[[],[[],[[],[[],[]]]]],[]]] => [[[],[[[[[],[]],[]],[]],[]]],[]] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [[],[[[],[[],[[[],[]],[]]]],[]]] => [[[],[[[[],[[],[]]],[]],[]]],[]] => [[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[],[[[],[[[],[]],[[],[]]]],[]]] => [[[],[[[[],[]],[[],[]]],[]]],[]] => [[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [[],[[[],[[[],[[],[]]],[]]],[]]] => [[[],[[[],[[[],[]],[]]],[]]],[]] => [[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [[],[[[],[[[[],[]],[]],[]]],[]]] => [[[],[[[],[[],[[],[]]]],[]]],[]] => [[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[],[[[[],[]],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[[],[]]]],[]] => [[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[],[[[[],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[]]]],[]] => [[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [[],[[[[],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[]]]],[]] => [[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[],[[[[[],[]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[],[]]]]],[]] => [[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [[],[[[[],[[],[[],[]]]],[]],[]]] => [[[],[[],[[[[],[]],[]],[]]]],[]] => [[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[],[[[[],[[[],[]],[]]],[]],[]]] => [[[],[[],[[[],[[],[]]],[]]]],[]] => [[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[],[[[[[],[]],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[[],[]]]]],[]] => [[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[],[[[[[],[[],[]]],[]],[]],[]]] => [[[],[[],[[],[[[],[]],[]]]]],[]] => [[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[],[[[[[[],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[]]]]]],[]] => [[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[],[]],[[],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[]],[[],[]]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[[],[]],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[[],[]]] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[]],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[[],[]]] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[[],[]],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[[],[]]] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[[],[]],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[[],[]]] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[],[]],[[[],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[]]],[[],[]]] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[],[]],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[[],[]]] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[[],[]],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[[],[]]] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[],[]],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[[],[]]] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[],[]],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[[],[]]] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[[],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[]],[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[],[[],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[]],[]]] => [[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[],[[],[]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[],[]],[]]] => [[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[],[[],[]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[],[]],[]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[],[]]]] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[[],[]],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[[],[]]]] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[],[]],[]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[],[[],[]]]] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[],[]],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[[],[]]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[],[[],[[],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[]],[]],[]]] => [[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[[],[[],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[]],[]],[]]] => [[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[],[[[],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[]]],[]]] => [[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[[[],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[]]],[]]] => [[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[],[]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[],[]]]] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[],[]]]] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[],[[],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[]],[]]]] => [[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[],[[],[]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[],[]],[]]]] => [[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[[],[]],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[[],[]]]]] => [[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[[],[]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[],[]]]]] => [[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [[[],[[],[[],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[]],[]],[]]] => [[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [[[],[[],[[[],[]],[]]]],[[],[]]] => [[[],[]],[[[[],[[],[]]],[]],[]]] => [[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[],[[[],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[]]],[]]] => [[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [[[],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[]]] => [[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[],[[[[],[]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[],[]]]],[]]] => [[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[[],[]],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[[],[]]]] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[],[]]]] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[[],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[]],[]]]] => [[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[[],[]],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[[],[]]]]] => [[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[],[[],[[],[]]]],[]],[[],[]]] => [[[],[]],[[],[[[[],[]],[]],[]]]] => [[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[],[[[],[]],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[[],[]]],[]]]] => [[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[[],[]],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[[],[]]]]] => [[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[[],[[],[]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[],[]],[]]]]] => [[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[[[],[]],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[[],[]]]]]] => [[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]
Map
to ordered tree
Description
Sends a Dyck path to the ordered tree encoding the heights of the path.
This map is recursively defined as follows: A Dyck path $D$ of semilength $n$ may be decomposed, according to its returns (St000011The number of touch points (or returns) of a Dyck path.), into smaller paths $D_1,\dots,D_k$ of respective semilengths $n_1,\dots,n_k$ (so one has $n = n_1 + \dots n_k$) each of which has no returns.
Denote by $\tilde D_i$ the path of semilength $n_i-1$ obtained from $D_i$ by removing the initial up- and the final down-step.
This map then sends $D$ to the tree $T$ having a root note with ordered children $T_1,\dots,T_k$ which are again ordered trees computed from $D_1,\dots,D_k$ respectively.
The unique path of semilength $1$ is sent to the tree consisting of a single node.
This map is recursively defined as follows: A Dyck path $D$ of semilength $n$ may be decomposed, according to its returns (St000011The number of touch points (or returns) of a Dyck path.), into smaller paths $D_1,\dots,D_k$ of respective semilengths $n_1,\dots,n_k$ (so one has $n = n_1 + \dots n_k$) each of which has no returns.
Denote by $\tilde D_i$ the path of semilength $n_i-1$ obtained from $D_i$ by removing the initial up- and the final down-step.
This map then sends $D$ to the tree $T$ having a root note with ordered children $T_1,\dots,T_k$ which are again ordered trees computed from $D_1,\dots,D_k$ respectively.
The unique path of semilength $1$ is sent to the tree consisting of a single node.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
Map
to binary tree: right brother = right child
Description
Return a binary tree of size $n-1$ (where $n$ is the size of an ordered tree $t$) obtained from $t$ by the following recursive rule:
- if $x$ is the right brother of $y$ in $t$, then $x$ becomes the right child of $y$;
- if $x$ is the first child of $y$ in $t$, then $x$ becomes the left child of $y$,
and removing the root of $t$.
- if $x$ is the right brother of $y$ in $t$, then $x$ becomes the right child of $y$;
- if $x$ is the first child of $y$ in $t$, then $x$ becomes the left child of $y$,
and removing the root of $t$.
searching the database
Sorry, this map was not found in the database.