Identifier
Mp00015:
Binary trees
—to ordered tree: right child = right brother⟶
Ordered trees
Mp00051: Ordered trees —to Dyck path⟶ Dyck paths
Mp00051: Ordered trees —to Dyck path⟶ Dyck paths
Images
[.,.] => [[]] => [1,0]
[.,[.,.]] => [[],[]] => [1,0,1,0]
[[.,.],.] => [[[]]] => [1,1,0,0]
[.,[.,[.,.]]] => [[],[],[]] => [1,0,1,0,1,0]
[.,[[.,.],.]] => [[],[[]]] => [1,0,1,1,0,0]
[[.,.],[.,.]] => [[[]],[]] => [1,1,0,0,1,0]
[[.,[.,.]],.] => [[[],[]]] => [1,1,0,1,0,0]
[[[.,.],.],.] => [[[[]]]] => [1,1,1,0,0,0]
[.,[.,[.,[.,.]]]] => [[],[],[],[]] => [1,0,1,0,1,0,1,0]
[.,[.,[[.,.],.]]] => [[],[],[[]]] => [1,0,1,0,1,1,0,0]
[.,[[.,.],[.,.]]] => [[],[[]],[]] => [1,0,1,1,0,0,1,0]
[.,[[.,[.,.]],.]] => [[],[[],[]]] => [1,0,1,1,0,1,0,0]
[.,[[[.,.],.],.]] => [[],[[[]]]] => [1,0,1,1,1,0,0,0]
[[.,.],[.,[.,.]]] => [[[]],[],[]] => [1,1,0,0,1,0,1,0]
[[.,.],[[.,.],.]] => [[[]],[[]]] => [1,1,0,0,1,1,0,0]
[[.,[.,.]],[.,.]] => [[[],[]],[]] => [1,1,0,1,0,0,1,0]
[[[.,.],.],[.,.]] => [[[[]]],[]] => [1,1,1,0,0,0,1,0]
[[.,[.,[.,.]]],.] => [[[],[],[]]] => [1,1,0,1,0,1,0,0]
[[.,[[.,.],.]],.] => [[[],[[]]]] => [1,1,0,1,1,0,0,0]
[[[.,.],[.,.]],.] => [[[[]],[]]] => [1,1,1,0,0,1,0,0]
[[[.,[.,.]],.],.] => [[[[],[]]]] => [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]
[.,[[[.,.],.],[.,.]]] => [[],[[[]]],[]] => [1,0,1,1,1,0,0,0,1,0]
[.,[[.,[.,[.,.]]],.]] => [[],[[],[],[]]] => [1,0,1,1,0,1,0,1,0,0]
[.,[[.,[[.,.],.]],.]] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0]
[.,[[[.,.],[.,.]],.]] => [[],[[[]],[]]] => [1,0,1,1,1,0,0,1,0,0]
[.,[[[.,[.,.]],.],.]] => [[],[[[],[]]]] => [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]
[[[.,.],.],[.,[.,.]]] => [[[[]]],[],[]] => [1,1,1,0,0,0,1,0,1,0]
[[[.,.],.],[[.,.],.]] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0]
[[.,[.,[.,.]]],[.,.]] => [[[],[],[]],[]] => [1,1,0,1,0,1,0,0,1,0]
[[.,[[.,.],.]],[.,.]] => [[[],[[]]],[]] => [1,1,0,1,1,0,0,0,1,0]
[[[.,.],[.,.]],[.,.]] => [[[[]],[]],[]] => [1,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],.],[.,.]] => [[[[],[]]],[]] => [1,1,1,0,1,0,0,0,1,0]
[[[[.,.],.],.],[.,.]] => [[[[[]]]],[]] => [1,1,1,1,0,0,0,0,1,0]
[[.,[.,[.,[.,.]]]],.] => [[[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,0]
[[.,[.,[[.,.],.]]],.] => [[[],[],[[]]]] => [1,1,0,1,0,1,1,0,0,0]
[[.,[[.,.],[.,.]]],.] => [[[],[[]],[]]] => [1,1,0,1,1,0,0,1,0,0]
[[.,[[.,[.,.]],.]],.] => [[[],[[],[]]]] => [1,1,0,1,1,0,1,0,0,0]
[[.,[[[.,.],.],.]],.] => [[[],[[[]]]]] => [1,1,0,1,1,1,0,0,0,0]
[[[.,.],[.,[.,.]]],.] => [[[[]],[],[]]] => [1,1,1,0,0,1,0,1,0,0]
[[[.,.],[[.,.],.]],.] => [[[[]],[[]]]] => [1,1,1,0,0,1,1,0,0,0]
[[[.,[.,.]],[.,.]],.] => [[[[],[]],[]]] => [1,1,1,0,1,0,0,1,0,0]
[[[[.,.],.],[.,.]],.] => [[[[[]]],[]]] => [1,1,1,1,0,0,0,1,0,0]
[[[.,[.,[.,.]]],.],.] => [[[[],[],[]]]] => [1,1,1,0,1,0,1,0,0,0]
[[[.,[[.,.],.]],.],.] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0]
[[[[.,.],[.,.]],.],.] => [[[[[]],[]]]] => [1,1,1,1,0,0,1,0,0,0]
[[[[.,[.,.]],.],.],.] => [[[[[],[]]]]] => [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]
[.,[.,[[[.,.],.],[.,.]]]] => [[],[],[[[]]],[]] => [1,0,1,0,1,1,1,0,0,0,1,0]
[.,[.,[[.,[.,[.,.]]],.]]] => [[],[],[[],[],[]]] => [1,0,1,0,1,1,0,1,0,1,0,0]
[.,[.,[[.,[[.,.],.]],.]]] => [[],[],[[],[[]]]] => [1,0,1,0,1,1,0,1,1,0,0,0]
[.,[.,[[[.,.],[.,.]],.]]] => [[],[],[[[]],[]]] => [1,0,1,0,1,1,1,0,0,1,0,0]
[.,[.,[[[.,[.,.]],.],.]]] => [[],[],[[[],[]]]] => [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]
[.,[[[.,.],.],[.,[.,.]]]] => [[],[[[]]],[],[]] => [1,0,1,1,1,0,0,0,1,0,1,0]
[.,[[[.,.],.],[[.,.],.]]] => [[],[[[]]],[[]]] => [1,0,1,1,1,0,0,0,1,1,0,0]
[.,[[.,[.,[.,.]]],[.,.]]] => [[],[[],[],[]],[]] => [1,0,1,1,0,1,0,1,0,0,1,0]
[.,[[.,[[.,.],.]],[.,.]]] => [[],[[],[[]]],[]] => [1,0,1,1,0,1,1,0,0,0,1,0]
[.,[[[.,.],[.,.]],[.,.]]] => [[],[[[]],[]],[]] => [1,0,1,1,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],.],[.,.]]] => [[],[[[],[]]],[]] => [1,0,1,1,1,0,1,0,0,0,1,0]
[.,[[[[.,.],.],.],[.,.]]] => [[],[[[[]]]],[]] => [1,0,1,1,1,1,0,0,0,0,1,0]
[.,[[.,[.,[.,[.,.]]]],.]] => [[],[[],[],[],[]]] => [1,0,1,1,0,1,0,1,0,1,0,0]
[.,[[.,[.,[[.,.],.]]],.]] => [[],[[],[],[[]]]] => [1,0,1,1,0,1,0,1,1,0,0,0]
[.,[[.,[[.,.],[.,.]]],.]] => [[],[[],[[]],[]]] => [1,0,1,1,0,1,1,0,0,1,0,0]
[.,[[.,[[.,[.,.]],.]],.]] => [[],[[],[[],[]]]] => [1,0,1,1,0,1,1,0,1,0,0,0]
[.,[[.,[[[.,.],.],.]],.]] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0]
[.,[[[.,.],[.,[.,.]]],.]] => [[],[[[]],[],[]]] => [1,0,1,1,1,0,0,1,0,1,0,0]
[.,[[[.,.],[[.,.],.]],.]] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0]
[.,[[[.,[.,.]],[.,.]],.]] => [[],[[[],[]],[]]] => [1,0,1,1,1,0,1,0,0,1,0,0]
[.,[[[[.,.],.],[.,.]],.]] => [[],[[[[]]],[]]] => [1,0,1,1,1,1,0,0,0,1,0,0]
>>> Load all 2087 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [[],[[[],[],[]]]] => [1,0,1,1,1,0,1,0,1,0,0,0]
[.,[[[.,[[.,.],.]],.],.]] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0]
[.,[[[[.,.],[.,.]],.],.]] => [[],[[[[]],[]]]] => [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]
[[.,.],[[[.,.],.],[.,.]]] => [[[]],[[[]]],[]] => [1,1,0,0,1,1,1,0,0,0,1,0]
[[.,.],[[.,[.,[.,.]]],.]] => [[[]],[[],[],[]]] => [1,1,0,0,1,1,0,1,0,1,0,0]
[[.,.],[[.,[[.,.],.]],.]] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0]
[[.,.],[[[.,.],[.,.]],.]] => [[[]],[[[]],[]]] => [1,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[[.,[.,.]],.],.]] => [[[]],[[[],[]]]] => [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]
[[[.,.],.],[.,[.,[.,.]]]] => [[[[]]],[],[],[]] => [1,1,1,0,0,0,1,0,1,0,1,0]
[[[.,.],.],[.,[[.,.],.]]] => [[[[]]],[],[[]]] => [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]
[[.,[.,[.,.]]],[.,[.,.]]] => [[[],[],[]],[],[]] => [1,1,0,1,0,1,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[.,.],.]] => [[[],[],[]],[[]]] => [1,1,0,1,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[.,[.,.]]] => [[[],[[]]],[],[]] => [1,1,0,1,1,0,0,0,1,0,1,0]
[[.,[[.,.],.]],[[.,.],.]] => [[[],[[]]],[[]]] => [1,1,0,1,1,0,0,0,1,1,0,0]
[[[.,.],[.,.]],[.,[.,.]]] => [[[[]],[]],[],[]] => [1,1,1,0,0,1,0,0,1,0,1,0]
[[[.,.],[.,.]],[[.,.],.]] => [[[[]],[]],[[]]] => [1,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[.,.]],.],[.,[.,.]]] => [[[[],[]]],[],[]] => [1,1,1,0,1,0,0,0,1,0,1,0]
[[[.,[.,.]],.],[[.,.],.]] => [[[[],[]]],[[]]] => [1,1,1,0,1,0,0,0,1,1,0,0]
[[[[.,.],.],.],[.,[.,.]]] => [[[[[]]]],[],[]] => [1,1,1,1,0,0,0,0,1,0,1,0]
[[[[.,.],.],.],[[.,.],.]] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0]
[[.,[.,[.,[.,.]]]],[.,.]] => [[[],[],[],[]],[]] => [1,1,0,1,0,1,0,1,0,0,1,0]
[[.,[.,[[.,.],.]]],[.,.]] => [[[],[],[[]]],[]] => [1,1,0,1,0,1,1,0,0,0,1,0]
[[.,[[.,.],[.,.]]],[.,.]] => [[[],[[]],[]],[]] => [1,1,0,1,1,0,0,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[.,.]] => [[[],[[],[]]],[]] => [1,1,0,1,1,0,1,0,0,0,1,0]
[[.,[[[.,.],.],.]],[.,.]] => [[[],[[[]]]],[]] => [1,1,0,1,1,1,0,0,0,0,1,0]
[[[.,.],[.,[.,.]]],[.,.]] => [[[[]],[],[]],[]] => [1,1,1,0,0,1,0,1,0,0,1,0]
[[[.,.],[[.,.],.]],[.,.]] => [[[[]],[[]]],[]] => [1,1,1,0,0,1,1,0,0,0,1,0]
[[[.,[.,.]],[.,.]],[.,.]] => [[[[],[]],[]],[]] => [1,1,1,0,1,0,0,1,0,0,1,0]
[[[[.,.],.],[.,.]],[.,.]] => [[[[[]]],[]],[]] => [1,1,1,1,0,0,0,1,0,0,1,0]
[[[.,[.,[.,.]]],.],[.,.]] => [[[[],[],[]]],[]] => [1,1,1,0,1,0,1,0,0,0,1,0]
[[[.,[[.,.],.]],.],[.,.]] => [[[[],[[]]]],[]] => [1,1,1,0,1,1,0,0,0,0,1,0]
[[[[.,.],[.,.]],.],[.,.]] => [[[[[]],[]]],[]] => [1,1,1,1,0,0,1,0,0,0,1,0]
[[[[.,[.,.]],.],.],[.,.]] => [[[[[],[]]]],[]] => [1,1,1,1,0,1,0,0,0,0,1,0]
[[[[[.,.],.],.],.],[.,.]] => [[[[[[]]]]],[]] => [1,1,1,1,1,0,0,0,0,0,1,0]
[[.,[.,[.,[.,[.,.]]]]],.] => [[[],[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,1,0,0]
[[.,[.,[.,[[.,.],.]]]],.] => [[[],[],[],[[]]]] => [1,1,0,1,0,1,0,1,1,0,0,0]
[[.,[.,[[.,.],[.,.]]]],.] => [[[],[],[[]],[]]] => [1,1,0,1,0,1,1,0,0,1,0,0]
[[.,[.,[[.,[.,.]],.]]],.] => [[[],[],[[],[]]]] => [1,1,0,1,0,1,1,0,1,0,0,0]
[[.,[.,[[[.,.],.],.]]],.] => [[[],[],[[[]]]]] => [1,1,0,1,0,1,1,1,0,0,0,0]
[[.,[[.,.],[.,[.,.]]]],.] => [[[],[[]],[],[]]] => [1,1,0,1,1,0,0,1,0,1,0,0]
[[.,[[.,.],[[.,.],.]]],.] => [[[],[[]],[[]]]] => [1,1,0,1,1,0,0,1,1,0,0,0]
[[.,[[.,[.,.]],[.,.]]],.] => [[[],[[],[]],[]]] => [1,1,0,1,1,0,1,0,0,1,0,0]
[[.,[[[.,.],.],[.,.]]],.] => [[[],[[[]]],[]]] => [1,1,0,1,1,1,0,0,0,1,0,0]
[[.,[[.,[.,[.,.]]],.]],.] => [[[],[[],[],[]]]] => [1,1,0,1,1,0,1,0,1,0,0,0]
[[.,[[.,[[.,.],.]],.]],.] => [[[],[[],[[]]]]] => [1,1,0,1,1,0,1,1,0,0,0,0]
[[.,[[[.,.],[.,.]],.]],.] => [[[],[[[]],[]]]] => [1,1,0,1,1,1,0,0,1,0,0,0]
[[.,[[[.,[.,.]],.],.]],.] => [[[],[[[],[]]]]] => [1,1,0,1,1,1,0,1,0,0,0,0]
[[.,[[[[.,.],.],.],.]],.] => [[[],[[[[]]]]]] => [1,1,0,1,1,1,1,0,0,0,0,0]
[[[.,.],[.,[.,[.,.]]]],.] => [[[[]],[],[],[]]] => [1,1,1,0,0,1,0,1,0,1,0,0]
[[[.,.],[.,[[.,.],.]]],.] => [[[[]],[],[[]]]] => [1,1,1,0,0,1,0,1,1,0,0,0]
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[[[[.,.],.],[[.,.],.]],.] => [[[[[]]],[[]]]] => [1,1,1,1,0,0,0,1,1,0,0,0]
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[[[.,[.,[.,[.,.]]]],.],.] => [[[[],[],[],[]]]] => [1,1,1,0,1,0,1,0,1,0,0,0]
[[[.,[.,[[.,.],.]]],.],.] => [[[[],[],[[]]]]] => [1,1,1,0,1,0,1,1,0,0,0,0]
[[[.,[[.,.],[.,.]]],.],.] => [[[[],[[]],[]]]] => [1,1,1,0,1,1,0,0,1,0,0,0]
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[[[.,[[[.,.],.],.]],.],.] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0]
[[[[.,.],[.,[.,.]]],.],.] => [[[[[]],[],[]]]] => [1,1,1,1,0,0,1,0,1,0,0,0]
[[[[.,.],[[.,.],.]],.],.] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0]
[[[[.,[.,.]],[.,.]],.],.] => [[[[[],[]],[]]]] => [1,1,1,1,0,1,0,0,1,0,0,0]
[[[[[.,.],.],[.,.]],.],.] => [[[[[[]]],[]]]] => [1,1,1,1,1,0,0,0,1,0,0,0]
[[[[.,[.,[.,.]]],.],.],.] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0]
[[[[.,[[.,.],.]],.],.],.] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0]
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[[[[[.,[.,.]],.],.],.],.] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0]
[[[[[[.,.],.],.],.],.],.] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0]
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[.,[.,[[[.,.],[.,.]],[.,.]]]] => [[],[],[[[]],[]],[]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [[],[],[[[],[]]],[]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
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[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [[],[],[[],[],[],[]]] => [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]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [[],[],[[],[[]],[]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [[],[],[[],[[],[]]]] => [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]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [[],[],[[[]],[],[]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [[],[],[[[]],[[]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [[],[],[[[],[]],[]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
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[.,[.,[[[.,[.,[.,.]]],.],.]]] => [[],[],[[[],[],[]]]] => [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]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [[],[],[[[[]],[]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [[],[],[[[[],[]]]]] => [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]
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[.,[[.,.],[.,[.,[[.,.],.]]]]] => [[],[[]],[],[],[[]]] => [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]
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[.,[[[[.,.],.],[[.,.],.]],.]] => [[],[[[[]]],[[]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [[],[[[],[],[]],[]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [[],[[[],[[]]],[]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [[],[[[[]],[]],[]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [[],[[[[],[]]],[]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[.,[[[[[.,.],.],.],[.,.]],.]] => [[],[[[[[]]]],[]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [[],[[[],[],[],[]]]] => [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]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [[],[[[],[[]],[]]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [[],[[[],[[],[]]]]] => [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]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [[],[[[[]],[],[]]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[.,[[[[.,.],[[.,.],.]],.],.]] => [[],[[[[]],[[]]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [[],[[[[],[]],[]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[.,[[[[[.,.],.],[.,.]],.],.]] => [[],[[[[[]]],[]]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [[],[[[[],[],[]]]]] => [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]
[.,[[[[[.,.],[.,.]],.],.],.]] => [[],[[[[[]],[]]]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[.,[[[[[.,[.,.]],.],.],.],.]] => [[],[[[[[],[]]]]]] => [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]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [[[]],[],[[[]]],[]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [[[]],[],[[],[],[]]] => [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]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [[[]],[],[[[]],[]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [[[]],[],[[[],[]]]] => [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]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [[[]],[[[]]],[],[]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[[.,.],[[[.,.],.],[[.,.],.]]] => [[[]],[[[]]],[[]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [[[]],[[],[],[]],[]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [[[]],[[],[[]]],[]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [[[]],[[[]],[]],[]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [[[]],[[[],[]]],[]] => [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]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [[[]],[[],[],[],[]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [[[]],[[],[],[[]]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [[[]],[[],[[]],[]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [[[]],[[],[[],[]]]] => [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]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [[[]],[[[]],[],[]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[[.,.],[[[.,.],[[.,.],.]],.]] => [[[]],[[[]],[[]]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [[[]],[[[],[]],[]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[.,.],[[[[.,.],.],[.,.]],.]] => [[[]],[[[[]]],[]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [[[]],[[[],[],[]]]] => [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]
[[.,.],[[[[.,.],[.,.]],.],.]] => [[[]],[[[[]],[]]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[.,.],[[[[.,[.,.]],.],.],.]] => [[[]],[[[[],[]]]]] => [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]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [[[],[]],[[[]]],[]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [[[],[]],[[],[],[]]] => [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]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [[[],[]],[[[]],[]]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [[[],[]],[[[],[]]]] => [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]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[[]]],[],[],[],[]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [[[[]]],[],[],[[]]] => [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]
[[[.,.],.],[[[.,.],.],[.,.]]] => [[[[]]],[[[]]],[]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [[[[]]],[[],[],[]]] => [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]
[[[.,.],.],[[[.,.],[.,.]],.]] => [[[[]]],[[[]],[]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[[[.,.],.],[[[.,[.,.]],.],.]] => [[[[]]],[[[],[]]]] => [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]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[[],[],[]],[],[],[]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [[[],[],[]],[],[[]]] => [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]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [[[],[[]]],[],[],[]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [[[],[[]]],[],[[]]] => [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]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[[]],[]],[],[],[]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [[[[]],[]],[],[[]]] => [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]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[[],[]]],[],[],[]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [[[[],[]]],[],[[]]] => [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]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[[]]]],[],[],[]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[[[[.,.],.],.],[.,[[.,.],.]]] => [[[[[]]]],[],[[]]] => [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]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[[],[],[],[]],[],[]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [[[],[],[],[]],[[]]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [[[],[],[[]]],[],[]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [[[],[],[[]]],[[]]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [[[],[[]],[]],[],[]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [[[],[[]],[]],[[]]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [[[],[[],[]]],[],[]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [[[],[[],[]]],[[]]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [[[],[[[]]]],[],[]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[[.,[[[.,.],.],.]],[[.,.],.]] => [[[],[[[]]]],[[]]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[[]],[],[]],[],[]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [[[[]],[],[]],[[]]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [[[[]],[[]]],[],[]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[[[.,.],[[.,.],.]],[[.,.],.]] => [[[[]],[[]]],[[]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[[],[]],[]],[],[]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [[[[],[]],[]],[[]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [[[[[]]],[]],[],[]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[[[[.,.],.],[.,.]],[[.,.],.]] => [[[[[]]],[]],[[]]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[[],[],[]]],[],[]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [[[[],[],[]]],[[]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [[[[],[[]]]],[],[]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[[[.,[[.,.],.]],.],[[.,.],.]] => [[[[],[[]]]],[[]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [[[[[]],[]]],[],[]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[[[[.,.],[.,.]],.],[[.,.],.]] => [[[[[]],[]]],[[]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [[[[[],[]]]],[],[]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[[[[.,[.,.]],.],.],[[.,.],.]] => [[[[[],[]]]],[[]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[[[[[.,.],.],.],.],[.,[.,.]]] => [[[[[[]]]]],[],[]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[[[[[.,.],.],.],.],[[.,.],.]] => [[[[[[]]]]],[[]]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[[],[],[],[],[]],[]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [[[],[],[],[[]]],[]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [[[],[],[[]],[]],[]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[],[],[[],[]]],[]] => [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]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [[[],[[]],[],[]],[]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [[[],[[]],[[]]],[]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [[[],[[],[]],[]],[]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [[[],[[[]]],[]],[]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[],[[],[],[]]],[]] => [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]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [[[],[[[]],[]]],[]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [[[],[[[],[]]]],[]] => [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]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[[]],[],[],[]],[]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [[[[]],[],[[]]],[]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [[[[]],[[]],[]],[]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [[[[]],[[],[]]],[]] => [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]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[[],[]],[],[]],[]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [[[[],[]],[[]]],[]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [[[[[]]],[],[]],[]] => [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]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[[],[],[]],[]],[]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [[[[],[[]]],[]],[]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [[[[[]],[]],[]],[]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [[[[[],[]]],[]],[]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[[]]]],[]],[]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[],[],[],[]]],[]] => [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]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [[[[],[[]],[]]],[]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[],[[],[]]]],[]] => [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]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [[[[[]],[],[]]],[]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[[[[.,.],[[.,.],.]],.],[.,.]] => [[[[[]],[[]]]],[]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [[[[[],[]],[]]],[]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[[[.,.],.],[.,.]],.],[.,.]] => [[[[[[]]],[]]],[]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[],[],[]]]],[]] => [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]
[[[[[.,.],[.,.]],.],.],[.,.]] => [[[[[[]],[]]]],[]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[],[]]]]],[]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[]]]]]],[]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[[],[],[],[],[],[]]] => [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]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [[[],[],[],[[]],[]]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [[[],[],[],[[],[]]]] => [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]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [[[],[],[[]],[],[]]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [[[],[],[[]],[[]]]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [[[],[],[[],[]],[]]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [[[],[],[[[]]],[]]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [[[],[],[[],[],[]]]] => [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]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [[[],[],[[[]],[]]]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [[[],[],[[[],[]]]]] => [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]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [[[],[[]],[],[],[]]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [[[],[[]],[],[[]]]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [[[],[[]],[[]],[]]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [[[],[[]],[[],[]]]] => [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]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [[[],[[],[]],[],[]]] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [[[],[[],[]],[[]]]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [[[],[[[]]],[],[]]] => [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]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [[[],[[],[],[]],[]]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [[[],[[],[[]]],[]]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [[[],[[[]],[]],[]]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [[[],[[[],[]]],[]]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[[.,[[[[.,.],.],.],[.,.]]],.] => [[[],[[[[]]]],[]]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [[[],[[],[],[],[]]]] => [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]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [[[],[[],[[]],[]]]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [[[],[[],[[],[]]]]] => [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]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [[[],[[[]],[],[]]]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[[.,[[[.,.],[[.,.],.]],.]],.] => [[[],[[[]],[[]]]]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [[[],[[[],[]],[]]]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[[.,[[[[.,.],.],[.,.]],.]],.] => [[[],[[[[]]],[]]]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [[[],[[[],[],[]]]]] => [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]
[[.,[[[[.,.],[.,.]],.],.]],.] => [[[],[[[[]],[]]]]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[[.,[[[[.,[.,.]],.],.],.]],.] => [[[],[[[[],[]]]]]] => [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]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [[[[]],[],[],[],[]]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [[[[]],[],[],[[]]]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [[[[]],[],[[]],[]]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [[[[]],[],[[],[]]]] => [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]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [[[[]],[[]],[],[]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[[[.,.],[[.,.],[[.,.],.]]],.] => [[[[]],[[]],[[]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [[[[]],[[],[]],[]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[[[.,.],[[[.,.],.],[.,.]]],.] => [[[[]],[[[]]],[]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [[[[]],[[],[],[]]]] => [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]
[[[.,.],[[[.,.],[.,.]],.]],.] => [[[[]],[[[]],[]]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[[[.,[.,.]],.],.]],.] => [[[[]],[[[],[]]]]] => [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]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[[],[]],[],[],[]]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [[[[],[]],[],[[]]]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [[[[],[]],[[]],[]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [[[[],[]],[[],[]]]] => [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]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [[[[[]]],[],[],[]]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[[[[.,.],.],[.,[[.,.],.]]],.] => [[[[[]]],[],[[]]]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[[[[.,.],.],[[.,.],[.,.]]],.] => [[[[[]]],[[]],[]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[[[[.,.],.],[[.,[.,.]],.]],.] => [[[[[]]],[[],[]]]] => [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]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [[[[],[],[]],[],[]]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [[[[],[],[]],[[]]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [[[[],[[]]],[],[]]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[[[.,[[.,.],.]],[[.,.],.]],.] => [[[[],[[]]],[[]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [[[[[]],[]],[],[]]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[[[[.,.],[.,.]],[[.,.],.]],.] => [[[[[]],[]],[[]]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [[[[[],[]]],[],[]]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[[[[.,[.,.]],.],[[.,.],.]],.] => [[[[[],[]]],[[]]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[[[[[.,.],.],.],[.,[.,.]]],.] => [[[[[[]]]],[],[]]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[[[[[.,.],.],.],[[.,.],.]],.] => [[[[[[]]]],[[]]]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [[[[],[],[],[]],[]]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [[[[],[],[[]]],[]]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [[[[],[[]],[]],[]]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [[[[],[[],[]]],[]]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[[[.,[[[.,.],.],.]],[.,.]],.] => [[[[],[[[]]]],[]]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [[[[[]],[],[]],[]]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[[[[.,.],[[.,.],.]],[.,.]],.] => [[[[[]],[[]]],[]]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [[[[[],[]],[]],[]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[[[[[.,.],.],[.,.]],[.,.]],.] => [[[[[[]]],[]],[]]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[[],[],[]]],[]]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[[[[.,[[.,.],.]],.],[.,.]],.] => [[[[[],[[]]]],[]]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[[[[[.,.],[.,.]],.],[.,.]],.] => [[[[[[]],[]]],[]]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[[[[[.,[.,.]],.],.],[.,.]],.] => [[[[[[],[]]]],[]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[[[[[[.,.],.],.],.],[.,.]],.] => [[[[[[[]]]]],[]]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [[[[],[],[],[],[]]]] => [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]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [[[[],[],[[]],[]]]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [[[[],[],[[],[]]]]] => [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]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [[[[],[[]],[],[]]]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[[[.,[[.,.],[[.,.],.]]],.],.] => [[[[],[[]],[[]]]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [[[[],[[],[]],[]]]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[[[.,[[[.,.],.],[.,.]]],.],.] => [[[[],[[[]]],[]]]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [[[[],[[],[],[]]]]] => [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]
[[[.,[[[.,.],[.,.]],.]],.],.] => [[[[],[[[]],[]]]]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[[[.,[[[.,[.,.]],.],.]],.],.] => [[[[],[[[],[]]]]]] => [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]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [[[[[]],[],[],[]]]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[[[[.,.],[.,[[.,.],.]]],.],.] => [[[[[]],[],[[]]]]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[[[[.,.],[[.,.],[.,.]]],.],.] => [[[[[]],[[]],[]]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[[[.,.],[[.,[.,.]],.]],.],.] => [[[[[]],[[],[]]]]] => [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]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [[[[[],[]],[],[]]]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[[[[.,[.,.]],[[.,.],.]],.],.] => [[[[[],[]],[[]]]]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[[[[[.,.],.],[.,[.,.]]],.],.] => [[[[[[]]],[],[]]]] => [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]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[[],[],[]],[]]]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[[[[.,[[.,.],.]],[.,.]],.],.] => [[[[[],[[]]],[]]]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[[[[[.,.],[.,.]],[.,.]],.],.] => [[[[[[]],[]],[]]]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[[[[[.,[.,.]],.],[.,.]],.],.] => [[[[[[],[]]],[]]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[[[[[[.,.],.],.],[.,.]],.],.] => [[[[[[[]]]],[]]]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [[[[[],[],[],[]]]]] => [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]
[[[[.,[[.,.],[.,.]]],.],.],.] => [[[[[],[[]],[]]]]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[[[[.,[[.,[.,.]],.]],.],.],.] => [[[[[],[[],[]]]]]] => [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]
[[[[[.,.],[.,[.,.]]],.],.],.] => [[[[[[]],[],[]]]]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[[[[[.,.],[[.,.],.]],.],.],.] => [[[[[[]],[[]]]]]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[[[[.,[.,.]],[.,.]],.],.],.] => [[[[[[],[]],[]]]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[[[[[[.,.],.],[.,.]],.],.],.] => [[[[[[[]]],[]]]]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[[[[[.,[.,[.,.]]],.],.],.],.] => [[[[[[],[],[]]]]]] => [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]
[[[[[[.,.],[.,.]],.],.],.],.] => [[[[[[[]],[]]]]]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[[[[[[.,[.,.]],.],.],.],.],.] => [[[[[[[],[]]]]]]] => [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]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [[],[],[],[],[[[]]],[]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [[],[],[],[],[[],[],[]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [[],[],[],[],[[],[[]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [[],[],[],[],[[[]],[]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [[],[],[],[],[[[],[]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [[],[],[],[],[[[[]]]]] => [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]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [[],[],[],[[[]]],[],[]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [[],[],[],[[[]]],[[]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [[],[],[],[[],[],[]],[]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [[],[],[],[[],[[]]],[]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [[],[],[],[[[]],[]],[]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [[],[],[],[[[],[]]],[]] => [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]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [[],[],[],[[],[],[],[]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [[],[],[],[[],[],[[]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [[],[],[],[[],[[]],[]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [[],[],[],[[],[[],[]]]] => [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]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [[],[],[],[[[]],[],[]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [[],[],[],[[[]],[[]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [[],[],[],[[[],[]],[]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [[],[],[],[[[[]]],[]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [[],[],[],[[[],[],[]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [[],[],[],[[[],[[]]]]] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [[],[],[],[[[[]],[]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [[],[],[],[[[[],[]]]]] => [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]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [[],[],[[]],[[[]]],[]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [[],[],[[]],[[],[],[]]] => [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]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [[],[],[[]],[[[]],[]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [[],[],[[]],[[[],[]]]] => [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]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [[],[],[[[]]],[],[],[]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [[],[],[[[]]],[],[[]]] => [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]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [[],[],[[],[],[]],[],[]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [[],[],[[],[],[]],[[]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [[],[],[[],[[]]],[],[]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [[],[],[[],[[]]],[[]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [[],[],[[[]],[]],[],[]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [[],[],[[[]],[]],[[]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [[],[],[[[],[]]],[],[]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [[],[],[[[],[]]],[[]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [[],[],[[[[]]]],[],[]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [[],[],[[[[]]]],[[]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [[],[],[[],[],[],[]],[]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [[],[],[[],[],[[]]],[]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [[],[],[[],[[]],[]],[]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [[],[],[[],[[],[]]],[]] => [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]
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [[],[],[[[]],[],[]],[]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]
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[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [[],[],[[[[[[]]]]]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
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[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [[],[[]],[],[],[],[[]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
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[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [[],[[]],[],[],[[],[]]] => [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]
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[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [[],[[]],[],[[[]]],[]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
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[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [[],[[]],[],[[],[[]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [[],[[]],[],[[[]],[]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
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[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [[],[[]],[[]],[],[[]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
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[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [[],[[]],[[[]]],[],[]] => [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]
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[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [[],[[]],[[],[[]]],[]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [[],[[]],[[[]],[]],[]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [[],[[]],[[[],[]]],[]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
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[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [[],[[]],[[],[],[],[]]] => [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]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [[],[[]],[[],[[]],[]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [[],[[]],[[],[[],[]]]] => [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]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [[],[[]],[[[]],[],[]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [[],[[]],[[[]],[[]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [[],[[]],[[[],[]],[]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [[],[[]],[[[[]]],[]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [[],[[]],[[[],[],[]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [[],[[]],[[[],[[]]]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [[],[[]],[[[[]],[]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [[],[[]],[[[[],[]]]]] => [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]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [[],[[],[]],[[[]]],[]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [[],[[],[]],[[],[],[]]] => [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]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [[],[[],[]],[[[]],[]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [[],[[],[]],[[[],[]]]] => [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]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [[],[[[]]],[],[],[],[]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [[],[[[]]],[],[],[[]]] => [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]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [[],[[[]]],[[[]]],[]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [[],[[[]]],[[],[],[]]] => [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]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [[],[[[]]],[[[]],[]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
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[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [[],[[[],[[[]]],[]]]] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [[],[[[],[[],[],[]]]]] => [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]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [[],[[[],[[[]],[]]]]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [[],[[[],[[[],[]]]]]] => [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]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [[],[[[[]],[],[],[]]]] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [[],[[[[]],[],[[]]]]] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
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[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [[],[[[[],[],[]],[]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [[],[[[[],[[]]],[]]]] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [[],[[[[[]],[]],[]]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
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[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [[],[[[[[[]]],[]]]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [[],[[[[[],[],[]]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
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[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [[],[[[[[[]],[]]]]]] => [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]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [[[]],[],[],[[[]]],[]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [[[]],[],[],[[],[],[]]] => [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]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [[[]],[],[],[[[]],[]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [[[]],[],[],[[[],[]]]] => [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]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [[[]],[],[[[]]],[],[]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [[[]],[],[[[]]],[[]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [[[]],[],[[],[],[]],[]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [[[]],[],[[],[[]]],[]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [[[]],[],[[[]],[]],[]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [[[]],[],[[[],[]]],[]] => [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]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [[[]],[],[[],[],[],[]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [[[]],[],[[],[],[[]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [[[]],[],[[],[[]],[]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [[[]],[],[[],[[],[]]]] => [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]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [[[]],[],[[[]],[],[]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [[[]],[],[[[]],[[]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [[[]],[],[[[],[]],[]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [[[]],[],[[[[]]],[]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [[[]],[],[[[],[],[]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [[[]],[],[[[],[[]]]]] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [[[]],[],[[[[]],[]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [[[]],[],[[[[],[]]]]] => [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]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [[[]],[[]],[[[]]],[]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [[[]],[[]],[[],[],[]]] => [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]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [[[]],[[]],[[[]],[]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [[[]],[[]],[[[],[]]]] => [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]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [[[]],[[[]]],[],[],[]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [[[]],[[[]]],[],[[]]] => [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]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [[[]],[[],[],[]],[],[]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [[[]],[[],[],[]],[[]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [[[]],[[],[[]]],[],[]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [[[]],[[],[[]]],[[]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [[[]],[[[]],[]],[],[]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [[[]],[[[]],[]],[[]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [[[]],[[[],[]]],[],[]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [[[]],[[[],[]]],[[]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [[[]],[[[[]]]],[],[]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [[[]],[[[[]]]],[[]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [[[]],[[],[],[],[]],[]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [[[]],[[],[],[[]]],[]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [[[]],[[],[[]],[]],[]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [[[]],[[],[[],[]]],[]] => [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]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [[[]],[[[]],[],[]],[]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [[[]],[[[]],[[]]],[]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[[]],[[[],[]],[]],[]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [[[]],[[[[]]],[]],[]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [[[]],[[[],[],[]]],[]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [[[]],[[[],[[]]]],[]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [[[]],[[[[]],[]]],[]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [[[]],[[[[],[]]]],[]] => [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]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [[[]],[[],[],[],[],[]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [[[]],[[],[],[],[[]]]] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [[[]],[[],[],[[]],[]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [[[]],[[],[],[[],[]]]] => [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]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [[[]],[[],[[]],[],[]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [[[]],[[],[[]],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [[[]],[[],[[],[]],[]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [[[]],[[],[[[]]],[]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [[[]],[[],[[],[],[]]]] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [[[]],[[],[[],[[]]]]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [[[]],[[],[[[]],[]]]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [[[]],[[],[[[],[]]]]] => [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]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [[[]],[[[]],[],[],[]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [[[]],[[[]],[],[[]]]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [[[]],[[[]],[[]],[]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [[[]],[[[]],[[],[]]]] => [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]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [[[]],[[[],[]],[],[]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [[[]],[[[],[]],[[]]]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [[[]],[[[[]]],[],[]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [[[]],[[[[]]],[[]]]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [[[]],[[[],[],[]],[]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [[[]],[[[],[[]]],[]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [[[]],[[[[]],[]],[]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [[[]],[[[[],[]]],[]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [[[]],[[[[[]]]],[]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [[[]],[[[],[],[],[]]]] => [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]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [[[]],[[[],[[]],[]]]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [[[]],[[[],[[],[]]]]] => [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]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [[[]],[[[[]],[],[]]]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [[[]],[[[[]],[[]]]]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [[[]],[[[[],[]],[]]]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [[[]],[[[[[]]],[]]]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [[[]],[[[[],[],[]]]]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [[[]],[[[[],[[]]]]]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [[[]],[[[[[]],[]]]]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [[[]],[[[[[],[]]]]]] => [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]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [[[],[]],[],[[[]]],[]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [[[],[]],[],[[],[],[]]] => [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]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [[[],[]],[],[[[]],[]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [[[],[]],[],[[[],[]]]] => [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]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [[[],[]],[[[]]],[],[]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [[[],[]],[[[]]],[[]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [[[],[]],[[],[],[]],[]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [[[],[]],[[],[[]]],[]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[],[]],[[[]],[]],[]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [[[],[]],[[[],[]]],[]] => [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]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [[[],[]],[[],[],[],[]]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [[[],[]],[[],[],[[]]]] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [[[],[]],[[],[[]],[]]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[],[]],[[],[[],[]]]] => [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]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [[[],[]],[[[]],[],[]]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [[[],[]],[[[]],[[]]]] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[],[]],[[[],[]],[]]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [[[],[]],[[[[]]],[]]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [[[],[]],[[[],[],[]]]] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [[[],[]],[[[],[[]]]]] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [[[],[]],[[[[]],[]]]] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [[[],[]],[[[[],[]]]]] => [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]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[]]],[],[],[],[],[]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [[[[]]],[],[],[],[[]]] => [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]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [[[[]]],[],[[[]]],[]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [[[[]]],[],[[],[],[]]] => [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]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [[[[]]],[],[[[]],[]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [[[[]]],[],[[[],[]]]] => [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]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [[[[]]],[[[]]],[],[]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [[[[]]],[[[]]],[[]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [[[[]]],[[],[],[]],[]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [[[[]]],[[],[[]]],[]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [[[[]]],[[[]],[]],[]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [[[[]]],[[[],[]]],[]] => [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]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [[[[]]],[[],[],[],[]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [[[[]]],[[],[],[[]]]] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [[[[]]],[[],[[]],[]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [[[[]]],[[],[[],[]]]] => [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]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [[[[]]],[[[]],[],[]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [[[[]]],[[[]],[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [[[[]]],[[[],[]],[]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [[[[]]],[[[[]]],[]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [[[[]]],[[[],[],[]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [[[[]]],[[[],[[]]]]] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [[[[]]],[[[[]],[]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [[[[]]],[[[[],[]]]]] => [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]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [[[],[],[]],[],[],[],[]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [[[],[],[]],[],[],[[]]] => [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]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [[[],[],[]],[[[]]],[]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [[[],[],[]],[[],[],[]]] => [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]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [[[],[],[]],[[[]],[]]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [[[],[],[]],[[[],[]]]] => [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]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [[[],[[]]],[],[],[],[]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [[[],[[]]],[],[],[[]]] => [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]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [[[],[[]]],[[[]]],[]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [[[],[[]]],[[],[],[]]] => [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]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [[[],[[]]],[[[]],[]]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [[[],[[]]],[[[],[]]]] => [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]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [[[[]],[]],[],[],[],[]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [[[[]],[]],[],[],[[]]] => [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]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [[[[]],[]],[[[]]],[]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [[[[]],[]],[[],[],[]]] => [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]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [[[[]],[]],[[[]],[]]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [[[[]],[]],[[[],[]]]] => [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]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [[[[],[]]],[],[],[],[]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [[[[],[]]],[],[],[[]]] => [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]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [[[[],[]]],[[[]]],[]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [[[[],[]]],[[],[],[]]] => [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]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [[[[],[]]],[[[]],[]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [[[[],[]]],[[[],[]]]] => [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]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [[[[[]]]],[],[],[],[]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [[[[[]]]],[],[],[[]]] => [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]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [[[[[]]]],[[[]]],[]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [[[[[]]]],[[],[],[]]] => [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]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [[[[[]]]],[[[]],[]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [[[[[]]]],[[[],[]]]] => [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]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [[[],[],[],[]],[],[],[]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [[[],[],[],[]],[],[[]]] => [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]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [[[],[],[[]]],[],[],[]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [[[],[],[[]]],[],[[]]] => [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]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [[[],[[]],[]],[],[],[]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [[[],[[]],[]],[],[[]]] => [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]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [[[],[[],[]]],[],[],[]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [[[],[[],[]]],[],[[]]] => [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]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [[[],[[[]]]],[],[],[]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [[[],[[[]]]],[],[[]]] => [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]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [[[[]],[],[]],[],[],[]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [[[[]],[],[]],[],[[]]] => [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]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [[[[]],[[]]],[],[],[]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [[[[]],[[]]],[],[[]]] => [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]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [[[[],[]],[]],[],[],[]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [[[[],[]],[]],[],[[]]] => [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]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [[[[[]]],[]],[],[],[]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [[[[[]]],[]],[],[[]]] => [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]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [[[[],[],[]]],[],[],[]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [[[[],[],[]]],[],[[]]] => [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]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [[[[],[[]]]],[],[],[]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [[[[],[[]]]],[],[[]]] => [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]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [[[[[]],[]]],[],[],[]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [[[[[]],[]]],[],[[]]] => [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]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [[[[[],[]]]],[],[],[]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [[[[[],[]]]],[],[[]]] => [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]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [[[[[[]]]]],[],[],[]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [[[[[[]]]]],[],[[]]] => [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]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [[[],[],[],[],[]],[],[]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [[[],[],[],[],[]],[[]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [[[],[],[],[[]]],[],[]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [[[],[],[],[[]]],[[]]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [[[],[],[[]],[]],[],[]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [[[],[],[[]],[]],[[]]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [[[],[],[[],[]]],[],[]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [[[],[],[[],[]]],[[]]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [[[],[],[[[]]]],[],[]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [[[],[],[[[]]]],[[]]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [[[],[[]],[],[]],[],[]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [[[],[[]],[],[]],[[]]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [[[],[[]],[[]]],[],[]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [[[],[[]],[[]]],[[]]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [[[],[[],[]],[]],[],[]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [[[],[[],[]],[]],[[]]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [[[],[[[]]],[]],[],[]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [[[],[[[]]],[]],[[]]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [[[],[[],[],[]]],[],[]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [[[],[[],[],[]]],[[]]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [[[],[[],[[]]]],[],[]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [[[],[[],[[]]]],[[]]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [[[],[[[]],[]]],[],[]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [[[],[[[]],[]]],[[]]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [[[],[[[],[]]]],[],[]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [[[],[[[],[]]]],[[]]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [[[],[[[[]]]]],[],[]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [[[],[[[[]]]]],[[]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [[[[]],[],[],[]],[],[]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [[[[]],[],[],[]],[[]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [[[[]],[],[[]]],[],[]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [[[[]],[],[[]]],[[]]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [[[[]],[[]],[]],[],[]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [[[[]],[[]],[]],[[]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [[[[]],[[],[]]],[],[]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [[[[]],[[],[]]],[[]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [[[[]],[[[]]]],[],[]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [[[[]],[[[]]]],[[]]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [[[[],[]],[],[]],[],[]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [[[[],[]],[],[]],[[]]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [[[[],[]],[[]]],[],[]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [[[[],[]],[[]]],[[]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [[[[[]]],[],[]],[],[]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [[[[[]]],[],[]],[[]]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [[[[[]]],[[]]],[],[]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [[[[[]]],[[]]],[[]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [[[[],[],[]],[]],[],[]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [[[[],[],[]],[]],[[]]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [[[[],[[]]],[]],[],[]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [[[[],[[]]],[]],[[]]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [[[[[]],[]],[]],[],[]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [[[[[]],[]],[]],[[]]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [[[[[],[]]],[]],[],[]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [[[[[],[]]],[]],[[]]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [[[[[[]]]],[]],[],[]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [[[[[[]]]],[]],[[]]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [[[[],[],[],[]]],[],[]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [[[[],[],[],[]]],[[]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [[[[],[],[[]]]],[],[]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [[[[],[],[[]]]],[[]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [[[[],[[]],[]]],[],[]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [[[[],[[]],[]]],[[]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [[[[],[[],[]]]],[],[]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [[[[],[[],[]]]],[[]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [[[[],[[[]]]]],[],[]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [[[[],[[[]]]]],[[]]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [[[[[]],[],[]]],[],[]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [[[[[]],[],[]]],[[]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [[[[[]],[[]]]],[],[]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [[[[[]],[[]]]],[[]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [[[[[],[]],[]]],[],[]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [[[[[],[]],[]]],[[]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [[[[[[]]],[]]],[],[]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [[[[[[]]],[]]],[[]]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [[[[[],[],[]]]],[],[]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [[[[[],[],[]]]],[[]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [[[[[],[[]]]]],[],[]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [[[[[],[[]]]]],[[]]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [[[[[[]],[]]]],[],[]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [[[[[[]],[]]]],[[]]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [[[[[[],[]]]]],[],[]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [[[[[[],[]]]]],[[]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [[[[[[[]]]]]],[],[]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [[[[[[[]]]]]],[[]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [[[],[],[],[],[],[]],[]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [[[],[],[],[],[[]]],[]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [[[],[],[],[[]],[]],[]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [[[],[],[],[[],[]]],[]] => [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]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [[[],[],[[]],[],[]],[]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [[[],[],[[]],[[]]],[]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [[[],[],[[],[]],[]],[]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [[[],[],[[[]]],[]],[]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [[[],[],[[],[],[]]],[]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [[[],[],[[],[[]]]],[]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [[[],[],[[[]],[]]],[]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [[[],[],[[[],[]]]],[]] => [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]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [[[],[[]],[],[],[]],[]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [[[],[[]],[],[[]]],[]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [[[],[[]],[[]],[]],[]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [[[],[[]],[[],[]]],[]] => [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]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [[[],[[],[]],[],[]],[]] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [[[],[[],[]],[[]]],[]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [[[],[[[]]],[],[]],[]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [[[],[[[]]],[[]]],[]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [[[],[[],[],[]],[]],[]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [[[],[[],[[]]],[]],[]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [[[],[[[]],[]],[]],[]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [[[],[[[],[]]],[]],[]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [[[],[[[[]]]],[]],[]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [[[],[[],[],[],[]]],[]] => [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]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [[[],[[],[[]],[]]],[]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [[[],[[],[[],[]]]],[]] => [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]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [[[],[[[]],[],[]]],[]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [[[],[[[]],[[]]]],[]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[],[[[],[]],[]]],[]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [[[],[[[[]]],[]]],[]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [[[],[[[],[],[]]]],[]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [[[],[[[],[[]]]]],[]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [[[],[[[[]],[]]]],[]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [[[],[[[[],[]]]]],[]] => [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]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [[[[]],[],[],[],[]],[]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [[[[]],[],[],[[]]],[]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [[[[]],[],[[]],[]],[]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [[[[]],[],[[],[]]],[]] => [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]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [[[[]],[[]],[],[]],[]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [[[[]],[[]],[[]]],[]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [[[[]],[[],[]],[]],[]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [[[[]],[[[]]],[]],[]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [[[[]],[[],[],[]]],[]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [[[[]],[[],[[]]]],[]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [[[[]],[[[]],[]]],[]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [[[[]],[[[],[]]]],[]] => [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]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [[[[],[]],[],[],[]],[]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [[[[],[]],[],[[]]],[]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[[[],[]],[[]],[]],[]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[],[]],[[],[]]],[]] => [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]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [[[[[]]],[],[],[]],[]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [[[[[]]],[],[[]]],[]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [[[[[]]],[[]],[]],[]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [[[[[]]],[[],[]]],[]] => [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]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [[[[],[],[]],[],[]],[]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [[[[],[],[]],[[]]],[]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [[[[],[[]]],[],[]],[]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [[[[],[[]]],[[]]],[]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [[[[[]],[]],[],[]],[]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [[[[[]],[]],[[]]],[]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [[[[[],[]]],[],[]],[]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [[[[[],[]]],[[]]],[]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [[[[[[]]]],[],[]],[]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [[[[[[]]]],[[]]],[]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [[[[],[],[],[]],[]],[]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [[[[],[],[[]]],[]],[]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [[[[],[[]],[]],[]],[]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [[[[],[[],[]]],[]],[]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [[[[],[[[]]]],[]],[]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [[[[[]],[],[]],[]],[]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [[[[[]],[[]]],[]],[]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[],[]],[]],[]],[]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [[[[[[]]],[]],[]],[]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [[[[[],[],[]]],[]],[]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [[[[[],[[]]]],[]],[]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [[[[[[]],[]]],[]],[]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [[[[[[],[]]]],[]],[]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [[[[[[[]]]]],[]],[]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [[[[],[],[],[],[]]],[]] => [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]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [[[[],[],[[]],[]]],[]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [[[[],[],[[],[]]]],[]] => [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]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [[[[],[[]],[],[]]],[]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [[[[],[[]],[[]]]],[]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [[[[],[[],[]],[]]],[]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [[[[],[[[]]],[]]],[]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [[[[],[[],[],[]]]],[]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [[[[],[[],[[]]]]],[]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [[[[],[[[]],[]]]],[]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [[[[],[[[],[]]]]],[]] => [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]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [[[[[]],[],[],[]]],[]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [[[[[]],[],[[]]]],[]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [[[[[]],[[]],[]]],[]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [[[[[]],[[],[]]]],[]] => [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]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [[[[[],[]],[],[]]],[]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [[[[[],[]],[[]]]],[]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [[[[[[]]],[],[]]],[]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [[[[[[]]],[[]]]],[]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [[[[[],[],[]],[]]],[]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [[[[[],[[]]],[]]],[]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [[[[[[]],[]],[]]],[]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [[[[[[],[]]],[]]],[]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [[[[[[[]]]],[]]],[]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [[[[[],[],[],[]]]],[]] => [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]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [[[[[],[[]],[]]]],[]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [[[[[],[[],[]]]]],[]] => [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]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [[[[[[]],[],[]]]],[]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [[[[[[]],[[]]]]],[]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [[[[[[],[]],[]]]],[]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [[[[[[[]]],[]]]],[]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [[[[[[],[],[]]]]],[]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [[[[[[],[[]]]]]],[]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [[[[[[[]],[]]]]],[]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[[[[[[],[]]]]]],[]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [[[[[[[[]]]]]]],[]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[[],[],[],[],[],[],[]]] => [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]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [[[],[],[],[],[[]],[]]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [[[],[],[],[],[[],[]]]] => [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]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [[[],[],[],[[]],[],[]]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [[[],[],[],[[]],[[]]]] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [[[],[],[],[[],[]],[]]] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [[[],[],[],[[[]]],[]]] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [[[],[],[],[[],[],[]]]] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [[[],[],[],[[],[[]]]]] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [[[],[],[],[[[]],[]]]] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [[[],[],[],[[[],[]]]]] => [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]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [[[],[],[[]],[],[],[]]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [[[],[],[[]],[],[[]]]] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [[[],[],[[]],[[]],[]]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [[[],[],[[]],[[],[]]]] => [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]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [[[],[],[[],[]],[],[]]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [[[],[],[[],[]],[[]]]] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [[[],[],[[[]]],[],[]]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [[[],[],[[[]]],[[]]]] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [[[],[],[[],[],[]],[]]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [[[],[],[[],[[]]],[]]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [[[],[],[[[]],[]],[]]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [[[],[],[[[],[]]],[]]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [[[],[],[[[[]]]],[]]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [[[],[],[[],[],[],[]]]] => [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]
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [[[],[],[[],[[]],[]]]] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [[[],[],[[],[[],[]]]]] => [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]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [[[],[],[[[]],[],[]]]] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [[[],[],[[[]],[[]]]]] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [[[],[],[[[],[]],[]]]] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [[[],[],[[[[]]],[]]]] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [[[],[],[[[],[],[]]]]] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [[[],[],[[[],[[]]]]]] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [[[],[],[[[[]],[]]]]] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [[[],[],[[[[],[]]]]]] => [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]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [[[],[[]],[],[],[],[]]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [[[],[[]],[],[],[[]]]] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [[[],[[]],[],[[]],[]]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [[[],[[]],[],[[],[]]]] => [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]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [[[],[[]],[[]],[],[]]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [[[],[[]],[[]],[[]]]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [[[],[[]],[[],[]],[]]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [[[],[[]],[[[]]],[]]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [[[],[[]],[[],[],[]]]] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [[[],[[]],[[],[[]]]]] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [[[],[[]],[[[]],[]]]] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [[[],[[]],[[[],[]]]]] => [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]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [[[],[[],[]],[],[],[]]] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [[[],[[],[]],[],[[]]]] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [[[],[[],[]],[[]],[]]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [[[],[[],[]],[[],[]]]] => [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]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [[[],[[[]]],[],[],[]]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [[[],[[[]]],[],[[]]]] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [[[],[[[]]],[[]],[]]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [[[],[[[]]],[[],[]]]] => [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]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [[[],[[],[],[]],[],[]]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [[[],[[],[],[]],[[]]]] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [[[],[[],[[]]],[],[]]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [[[],[[],[[]]],[[]]]] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [[[],[[[]],[]],[],[]]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [[[],[[[]],[]],[[]]]] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [[[],[[[],[]]],[],[]]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [[[],[[[],[]]],[[]]]] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [[[],[[[[]]]],[],[]]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [[[],[[[[]]]],[[]]]] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [[[],[[],[],[],[]],[]]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [[[],[[],[],[[]]],[]]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [[[],[[],[[]],[]],[]]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [[[],[[],[[],[]]],[]]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [[[],[[],[[[]]]],[]]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [[[],[[[]],[],[]],[]]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [[[],[[[]],[[]]],[]]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [[[],[[[],[]],[]],[]]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [[[],[[[[]]],[]],[]]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [[[],[[[],[],[]]],[]]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [[[],[[[],[[]]]],[]]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [[[],[[[[]],[]]],[]]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [[[],[[[[],[]]]],[]]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [[[],[[[[[]]]]],[]]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [[[],[[],[],[],[],[]]]] => [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]
[[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [[[],[[],[],[[]],[]]]] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [[[],[[],[],[[],[]]]]] => [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]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [[[],[[],[[]],[],[]]]] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [[[],[[],[[]],[[]]]]] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [[[],[[],[[],[]],[]]]] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [[[],[[],[[[]]],[]]]] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [[[],[[],[[],[],[]]]]] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [[[],[[],[[],[[]]]]]] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [[[],[[],[[[]],[]]]]] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [[[],[[],[[[],[]]]]]] => [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]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [[[],[[[]],[],[],[]]]] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [[[],[[[]],[],[[]]]]] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [[[],[[[]],[[]],[]]]] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [[[],[[[]],[[],[]]]]] => [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]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [[[],[[[],[]],[],[]]]] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [[[],[[[],[]],[[]]]]] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [[[],[[[[]]],[],[]]]] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [[[],[[[[]]],[[]]]]] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [[[],[[[],[],[]],[]]]] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [[[],[[[],[[]]],[]]]] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [[[],[[[[]],[]],[]]]] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [[[],[[[[],[]]],[]]]] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [[[],[[[[[]]]],[]]]] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [[[],[[[],[],[],[]]]]] => [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]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [[[],[[[],[[]],[]]]]] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [[[],[[[],[[],[]]]]]] => [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]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [[[],[[[[]],[],[]]]]] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [[[],[[[[]],[[]]]]]] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [[[],[[[[],[]],[]]]]] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [[[],[[[[[]]],[]]]]] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [[[],[[[[],[],[]]]]]] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [[[],[[[[],[[]]]]]]] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [[[],[[[[[]],[]]]]]] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [[[],[[[[[],[]]]]]]] => [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]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [[[[]],[],[],[],[],[]]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [[[[]],[],[],[],[[]]]] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [[[[]],[],[],[[]],[]]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [[[[]],[],[],[[],[]]]] => [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]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [[[[]],[],[[]],[],[]]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [[[[]],[],[[]],[[]]]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [[[[]],[],[[],[]],[]]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [[[[]],[],[[[]]],[]]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [[[[]],[],[[],[],[]]]] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [[[[]],[],[[],[[]]]]] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [[[[]],[],[[[]],[]]]] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [[[[]],[],[[[],[]]]]] => [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]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [[[[]],[[]],[],[],[]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [[[[]],[[]],[],[[]]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [[[[]],[[]],[[]],[]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [[[[]],[[]],[[],[]]]] => [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]
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [[[[]],[[],[]],[],[]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [[[[]],[[],[]],[[]]]] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [[[[]],[[[]]],[],[]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [[[[]],[[[]]],[[]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [[[[]],[[],[],[]],[]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [[[[]],[[],[[]]],[]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [[[[]],[[[]],[]],[]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [[[[]],[[[],[]]],[]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [[[[]],[[[[]]]],[]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [[[[]],[[],[],[],[]]]] => [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]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [[[[]],[[],[[]],[]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [[[[]],[[],[[],[]]]]] => [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]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [[[[]],[[[]],[],[]]]] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [[[[]],[[[]],[[]]]]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [[[[]],[[[],[]],[]]]] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [[[[]],[[[[]]],[]]]] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [[[[]],[[[],[],[]]]]] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [[[[]],[[[],[[]]]]]] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [[[[]],[[[[]],[]]]]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [[[[]],[[[[],[]]]]]] => [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]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [[[[],[]],[],[],[],[]]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [[[[],[]],[],[],[[]]]] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [[[[],[]],[],[[]],[]]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [[[[],[]],[],[[],[]]]] => [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]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [[[[],[]],[[]],[],[]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [[[[],[]],[[]],[[]]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [[[[],[]],[[],[]],[]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [[[[],[]],[[[]]],[]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [[[[],[]],[[],[],[]]]] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [[[[],[]],[[],[[]]]]] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [[[[],[]],[[[]],[]]]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [[[[],[]],[[[],[]]]]] => [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]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [[[[[]]],[],[],[],[]]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [[[[[]]],[],[],[[]]]] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [[[[[]]],[],[[]],[]]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [[[[[]]],[],[[],[]]]] => [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]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [[[[[]]],[[]],[],[]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [[[[[]]],[[]],[[]]]] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [[[[[]]],[[],[]],[]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [[[[[]]],[[[]]],[]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [[[[[]]],[[],[],[]]]] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [[[[[]]],[[],[[]]]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [[[[[]]],[[[]],[]]]] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [[[[[]]],[[[],[]]]]] => [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]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [[[[],[],[]],[],[],[]]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [[[[],[],[]],[],[[]]]] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [[[[],[],[]],[[]],[]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [[[[],[],[]],[[],[]]]] => [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]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [[[[],[[]]],[],[],[]]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [[[[],[[]]],[],[[]]]] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [[[[],[[]]],[[]],[]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [[[[],[[]]],[[],[]]]] => [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]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [[[[[]],[]],[],[],[]]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [[[[[]],[]],[],[[]]]] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [[[[[]],[]],[[]],[]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [[[[[]],[]],[[],[]]]] => [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]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [[[[[],[]]],[],[],[]]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [[[[[],[]]],[],[[]]]] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [[[[[],[]]],[[]],[]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [[[[[],[]]],[[],[]]]] => [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]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [[[[[[]]]],[],[],[]]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [[[[[[]]]],[],[[]]]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [[[[[[]]]],[[]],[]]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [[[[[[]]]],[[],[]]]] => [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]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [[[[],[],[],[]],[],[]]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [[[[],[],[],[]],[[]]]] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [[[[],[],[[]]],[],[]]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [[[[],[],[[]]],[[]]]] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [[[[],[[]],[]],[],[]]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [[[[],[[]],[]],[[]]]] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [[[[],[[],[]]],[],[]]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [[[[],[[],[]]],[[]]]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [[[[],[[[]]]],[],[]]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [[[[],[[[]]]],[[]]]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [[[[[]],[],[]],[],[]]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [[[[[]],[],[]],[[]]]] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [[[[[]],[[]]],[],[]]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [[[[[]],[[]]],[[]]]] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [[[[[],[]],[]],[],[]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [[[[[],[]],[]],[[]]]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [[[[[[]]],[]],[],[]]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [[[[[[]]],[]],[[]]]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [[[[[],[],[]]],[],[]]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [[[[[],[],[]]],[[]]]] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [[[[[],[[]]]],[],[]]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [[[[[],[[]]]],[[]]]] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [[[[[[]],[]]],[],[]]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [[[[[[]],[]]],[[]]]] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [[[[[[],[]]]],[],[]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [[[[[[],[]]]],[[]]]] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [[[[[[[]]]]],[],[]]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [[[[[[[]]]]],[[]]]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [[[[],[],[],[],[]],[]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [[[[],[],[],[[]]],[]]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [[[[],[],[[]],[]],[]]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [[[[],[],[[],[]]],[]]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [[[[],[],[[[]]]],[]]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [[[[],[[]],[],[]],[]]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [[[[],[[]],[[]]],[]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [[[[],[[],[]],[]],[]]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [[[[],[[[]]],[]],[]]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [[[[],[[],[],[]]],[]]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [[[[],[[],[[]]]],[]]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [[[[],[[[]],[]]],[]]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [[[[],[[[],[]]]],[]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [[[[],[[[[]]]]],[]]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [[[[[]],[],[],[]],[]]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [[[[[]],[],[[]]],[]]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [[[[[]],[[]],[]],[]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [[[[[]],[[],[]]],[]]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [[[[[]],[[[]]]],[]]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [[[[[],[]],[],[]],[]]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [[[[[],[]],[[]]],[]]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [[[[[[]]],[],[]],[]]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [[[[[[]]],[[]]],[]]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [[[[[],[],[]],[]],[]]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [[[[[],[[]]],[]],[]]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [[[[[[]],[]],[]],[]]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [[[[[[],[]]],[]],[]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [[[[[[[]]]],[]],[]]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [[[[[],[],[],[]]],[]]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [[[[[],[],[[]]]],[]]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [[[[[],[[]],[]]],[]]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [[[[[],[[],[]]]],[]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [[[[[],[[[]]]]],[]]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [[[[[[]],[],[]]],[]]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [[[[[[]],[[]]]],[]]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [[[[[[],[]],[]]],[]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [[[[[[[]]],[]]],[]]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [[[[[[],[],[]]]],[]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [[[[[[],[[]]]]],[]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [[[[[[[]],[]]]],[]]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [[[[[[[],[]]]]],[]]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [[[[[[[[]]]]]],[]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [[[[],[],[],[],[],[]]]] => [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]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [[[[],[],[],[[]],[]]]] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [[[[],[],[],[[],[]]]]] => [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]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [[[[],[],[[]],[],[]]]] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [[[[],[],[[]],[[]]]]] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [[[[],[],[[],[]],[]]]] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [[[[],[],[[[]]],[]]]] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [[[[],[],[[],[],[]]]]] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [[[[],[],[[],[[]]]]]] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [[[[],[],[[[]],[]]]]] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [[[[],[],[[[],[]]]]]] => [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]
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [[[[],[[]],[],[],[]]]] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [[[[],[[]],[],[[]]]]] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [[[[],[[]],[[]],[]]]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [[[[],[[]],[[],[]]]]] => [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]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [[[[],[[],[]],[],[]]]] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [[[[],[[],[]],[[]]]]] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [[[[],[[[]]],[],[]]]] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [[[[],[[[]]],[[]]]]] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [[[[],[[],[],[]],[]]]] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [[[[],[[],[[]]],[]]]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [[[[],[[[]],[]],[]]]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [[[[],[[[],[]]],[]]]] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [[[[],[[[[]]]],[]]]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [[[[],[[],[],[],[]]]]] => [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]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [[[[],[[],[[]],[]]]]] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [[[[],[[],[[],[]]]]]] => [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]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [[[[],[[[]],[],[]]]]] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[[[.,[[[.,.],[[.,.],.]],.]],.],.] => [[[[],[[[]],[[]]]]]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [[[[],[[[],[]],[]]]]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [[[[],[[[[]]],[]]]]] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [[[[],[[[],[],[]]]]]] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [[[[],[[[],[[]]]]]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [[[[],[[[[]],[]]]]]] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [[[[],[[[[],[]]]]]]] => [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]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [[[[[]],[],[],[],[]]]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [[[[[]],[],[],[[]]]]] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [[[[[]],[],[[]],[]]]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [[[[[]],[],[[],[]]]]] => [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]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [[[[[]],[[]],[],[]]]] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [[[[[]],[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [[[[[]],[[],[]],[]]]] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [[[[[]],[[[]]],[]]]] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [[[[[]],[[],[],[]]]]] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [[[[[]],[[],[[]]]]]] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [[[[[]],[[[]],[]]]]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [[[[[]],[[[],[]]]]]] => [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]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [[[[[],[]],[],[],[]]]] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [[[[[],[]],[],[[]]]]] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [[[[[],[]],[[]],[]]]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [[[[[],[]],[[],[]]]]] => [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]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [[[[[[]]],[],[],[]]]] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [[[[[[]]],[],[[]]]]] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [[[[[[]]],[[]],[]]]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [[[[[[]]],[[],[]]]]] => [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]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [[[[[],[],[]],[],[]]]] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [[[[[],[],[]],[[]]]]] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [[[[[],[[]]],[],[]]]] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [[[[[],[[]]],[[]]]]] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [[[[[[]],[]],[],[]]]] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [[[[[[]],[]],[[]]]]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [[[[[[],[]]],[],[]]]] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [[[[[[],[]]],[[]]]]] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [[[[[[[]]]],[],[]]]] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [[[[[[[]]]],[[]]]]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [[[[[],[],[],[]],[]]]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [[[[[],[],[[]]],[]]]] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [[[[[],[[]],[]],[]]]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [[[[[],[[],[]]],[]]]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [[[[[],[[[]]]],[]]]] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [[[[[[]],[],[]],[]]]] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [[[[[[]],[[]]],[]]]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [[[[[[],[]],[]],[]]]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [[[[[[[]]],[]],[]]]] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [[[[[[],[],[]]],[]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [[[[[[],[[]]]],[]]]] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [[[[[[[]],[]]],[]]]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [[[[[[[],[]]]],[]]]] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [[[[[[[[]]]]],[]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [[[[[],[],[],[],[]]]]] => [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]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [[[[[],[],[[]],[]]]]] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [[[[[],[],[[],[]]]]]] => [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]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [[[[[],[[]],[],[]]]]] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [[[[[],[[]],[[]]]]]] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [[[[[],[[],[]],[]]]]] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [[[[[],[[[]]],[]]]]] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [[[[[],[[],[],[]]]]]] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [[[[[],[[],[[]]]]]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [[[[[],[[[]],[]]]]]] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [[[[[],[[[],[]]]]]]] => [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]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [[[[[[]],[],[],[]]]]] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [[[[[[]],[],[[]]]]]] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [[[[[[]],[[]],[]]]]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [[[[[[]],[[],[]]]]]] => [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]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [[[[[[],[]],[],[]]]]] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [[[[[[],[]],[[]]]]]] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [[[[[[[]]],[],[]]]]] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [[[[[[[]]],[[]]]]]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [[[[[[],[],[]],[]]]]] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [[[[[[],[[]]],[]]]]] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [[[[[[[]],[]],[]]]]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [[[[[[[],[]]],[]]]]] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [[[[[[[[]]]],[]]]]] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [[[[[[],[],[],[]]]]]] => [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]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [[[[[[],[[]],[]]]]]] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [[[[[[],[[],[]]]]]]] => [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]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [[[[[[[]],[],[]]]]]] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [[[[[[[]],[[]]]]]]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [[[[[[[],[]],[]]]]]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [[[[[[[[]]],[]]]]]] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [[[[[[[],[],[]]]]]]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [[[[[[[],[[]]]]]]]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [[[[[[[[]],[]]]]]]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [[[[[[[[],[]]]]]]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [[[[[[[[[]]]]]]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[[],[]],[]],[]],[]],[]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[[[],[]],[]],[]],[]],[]],[]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[],[[[],[[[],[]],[]]],[]]] => [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]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[[],[[[],[[],[]]],[]]],[]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[],[[[[],[]],[]],[]]],[]] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[],[]],[[[],[]],[]]],[]] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[],[[],[]]],[[],[]]],[]] => [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]
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [[],[[[],[[[[],[]],[]],[]]],[]]] => [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[],[[[[],[]],[[[],[]],[]]],[]]] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [[],[[[[],[[],[]]],[[],[]]],[]]] => [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]
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [[],[[[[],[[[],[]],[]]],[]],[]]] => [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[],[[[[[],[]],[[],[]]],[]],[]]] => [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]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [[[],[[[],[[],[]]],[]]],[[],[]]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [[[],[[[],[[[],[]],[]]],[]]],[]] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[[],[[[[],[]],[[],[]]],[]]],[]] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [[[],[[[[],[[],[]]],[]],[]]],[]] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[],[[[[[],[]],[]],[]],[]]],[]] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[[],[]],[[[[],[]],[]],[]]],[]] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[],[[],[]]],[[[],[]],[]]],[]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[[],[]],[]],[[[],[]],[]]],[]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[],[[[],[]],[]]],[[],[]]],[]] => [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]
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [[[[],[[[],[[],[]]],[]]],[]],[]] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]
Map
to ordered tree: right child = right brother
Description
Return an ordered tree of size n+1 by the following recursive rule:
- if x is the right child of y, x becomes the right brother of y,
- if x is the left child of y, x becomes the first child of y.
Map
to Dyck path
Description
Return the Dyck path of the corresponding ordered tree induced by the recurrence of the Catalan numbers, see wikipedia:Catalan_number.
This sends the maximal height of the Dyck path to the depth of the tree.
This sends the maximal height of the Dyck path to the depth of the tree.
searching the database
Sorry, this map was not found in the database.