Identifier
Mp00020:
Binary trees
—to Tamari-corresponding Dyck path⟶
Dyck paths
Mp00026: Dyck paths —to ordered tree⟶ Ordered trees
Mp00026: Dyck paths —to ordered tree⟶ Ordered trees
Images
[.,.] => [1,0] => [[]]
[.,[.,.]] => [1,1,0,0] => [[[]]]
[[.,.],.] => [1,0,1,0] => [[],[]]
[.,[.,[.,.]]] => [1,1,1,0,0,0] => [[[[]]]]
[.,[[.,.],.]] => [1,1,0,1,0,0] => [[[],[]]]
[[.,.],[.,.]] => [1,0,1,1,0,0] => [[],[[]]]
[[.,[.,.]],.] => [1,1,0,0,1,0] => [[[]],[]]
[[[.,.],.],.] => [1,0,1,0,1,0] => [[],[],[]]
[.,[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[.,[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[.,[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
[.,[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[.,[[[.,.],.],.]] => [1,1,0,1,0,1,0,0] => [[[],[],[]]]
[[.,.],[.,[.,.]]] => [1,0,1,1,1,0,0,0] => [[],[[[]]]]
[[.,.],[[.,.],.]] => [1,0,1,1,0,1,0,0] => [[],[[],[]]]
[[.,[.,.]],[.,.]] => [1,1,0,0,1,1,0,0] => [[[]],[[]]]
[[[.,.],.],[.,.]] => [1,0,1,0,1,1,0,0] => [[],[],[[]]]
[[.,[.,[.,.]]],.] => [1,1,1,0,0,0,1,0] => [[[[]]],[]]
[[.,[[.,.],.]],.] => [1,1,0,1,0,0,1,0] => [[[],[]],[]]
[[[.,.],[.,.]],.] => [1,0,1,1,0,0,1,0] => [[],[[]],[]]
[[[.,[.,.]],.],.] => [1,1,0,0,1,0,1,0] => [[[]],[],[]]
[[[[.,.],.],.],.] => [1,0,1,0,1,0,1,0] => [[],[],[],[]]
[.,[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]]
[.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]]
[.,[.,[[.,.],[.,.]]]] => [1,1,1,0,1,1,0,0,0,0] => [[[[],[[]]]]]
[.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => [[[[[]],[]]]]
[.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => [[[[],[],[]]]]
[.,[[.,.],[.,[.,.]]]] => [1,1,0,1,1,1,0,0,0,0] => [[[],[[[]]]]]
[.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => [[[],[[],[]]]]
[.,[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [[[[]],[[]]]]
[.,[[[.,.],.],[.,.]]] => [1,1,0,1,0,1,1,0,0,0] => [[[],[],[[]]]]
[.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => [[[[[]]],[]]]
[.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[]]]
[.,[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,1,0,0] => [[[],[[]],[]]]
[.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => [[[[]],[],[]]]
[.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => [[[],[],[],[]]]
[[.,.],[.,[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0] => [[],[[[[]]]]]
[[.,.],[.,[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0] => [[],[[[],[]]]]
[[.,.],[[.,.],[.,.]]] => [1,0,1,1,0,1,1,0,0,0] => [[],[[],[[]]]]
[[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => [[],[[[]],[]]]
[[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => [[],[[],[],[]]]
[[.,[.,.]],[.,[.,.]]] => [1,1,0,0,1,1,1,0,0,0] => [[[]],[[[]]]]
[[.,[.,.]],[[.,.],.]] => [1,1,0,0,1,1,0,1,0,0] => [[[]],[[],[]]]
[[[.,.],.],[.,[.,.]]] => [1,0,1,0,1,1,1,0,0,0] => [[],[],[[[]]]]
[[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => [[],[],[[],[]]]
[[.,[.,[.,.]]],[.,.]] => [1,1,1,0,0,0,1,1,0,0] => [[[[]]],[[]]]
[[.,[[.,.],.]],[.,.]] => [1,1,0,1,0,0,1,1,0,0] => [[[],[]],[[]]]
[[[.,.],[.,.]],[.,.]] => [1,0,1,1,0,0,1,1,0,0] => [[],[[]],[[]]]
[[[.,[.,.]],.],[.,.]] => [1,1,0,0,1,0,1,1,0,0] => [[[]],[],[[]]]
[[[[.,.],.],.],[.,.]] => [1,0,1,0,1,0,1,1,0,0] => [[],[],[],[[]]]
[[.,[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,0,1,0] => [[[[[]]]],[]]
[[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => [[[[],[]]],[]]
[[.,[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => [[[],[[]]],[]]
[[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => [[[[]],[]],[]]
[[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => [[[],[],[]],[]]
[[[.,.],[.,[.,.]]],.] => [1,0,1,1,1,0,0,0,1,0] => [[],[[[]]],[]]
[[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => [[],[[],[]],[]]
[[[.,[.,.]],[.,.]],.] => [1,1,0,0,1,1,0,0,1,0] => [[[]],[[]],[]]
[[[[.,.],.],[.,.]],.] => [1,0,1,0,1,1,0,0,1,0] => [[],[],[[]],[]]
[[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => [[[[]]],[],[]]
[[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => [[[],[]],[],[]]
[[[[.,.],[.,.]],.],.] => [1,0,1,1,0,0,1,0,1,0] => [[],[[]],[],[]]
[[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => [[[]],[],[],[]]
[[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[]]
[.,[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]]
[.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]]
[.,[.,[.,[[.,.],[.,.]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]]
[.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]]
[.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]]
[.,[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]]]]]
[.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[[],[]]]]]
[.,[.,[[.,[.,.]],[.,.]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]]]]]
[.,[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[[]]]]]
[.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]]
[.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[]],[]]]]
[.,[.,[[[.,.],[.,.]],.]]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[]]]]
[.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[],[]]]]
[.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[]]]]
[.,[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[],[[[[]]]]]]
[.,[[.,.],[.,[[.,.],.]]]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[],[[[],[]]]]]
[.,[[.,.],[[.,.],[.,.]]]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[[],[[]]]]]
[.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [[[],[[[]],[]]]]
[.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [[[],[[],[],[]]]]
[.,[[.,[.,.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[[]]]]]
[.,[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[],[]]]]
[.,[[[.,.],.],[.,[.,.]]]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[[[]]]]]
[.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[[],[]]]]
[.,[[.,[.,[.,.]]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[[[]]],[[]]]]
[.,[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[[[],[]],[[]]]]
[.,[[[.,.],[.,.]],[.,.]]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]]]]
[.,[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[],[[]]]]
[.,[[[[.,.],.],.],[.,.]]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[[]]]]
[.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[[]]]],[]]]
[.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[[],[]]],[]]]
[.,[[.,[[.,.],[.,.]]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[[],[[]]],[]]]
[.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[]]]
[.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[]],[]]]
[.,[[[.,.],[.,[.,.]]],.]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[[],[[[]]],[]]]
[.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[[],[[],[]],[]]]
[.,[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[]]]
[.,[[[[.,.],.],[.,.]],.]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[[]],[]]]
>>> Load all 2395 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[[]]],[],[]]]
[.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[[],[]],[],[]]]
[.,[[[[.,.],[.,.]],.],.]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[],[]]]
[.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[[]],[],[],[]]]
[.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[]]]
[[.,.],[.,[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[],[[[[[]]]]]]
[[.,.],[.,[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[],[[[[],[]]]]]
[[.,.],[.,[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[],[[[],[[]]]]]
[[.,.],[.,[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [[],[[[[]],[]]]]
[[.,.],[.,[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[],[[[],[],[]]]]
[[.,.],[[.,.],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[],[[],[[[]]]]]
[[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[],[[],[[],[]]]]
[[.,.],[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [[],[[[]],[[]]]]
[[.,.],[[[.,.],.],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[],[[],[],[[]]]]
[[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[],[[[[]]],[]]]
[[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[],[[[],[]],[]]]
[[.,.],[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [[],[[],[[]],[]]]
[[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[],[[[]],[],[]]]
[[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[]]]
[[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[[]],[[[[]]]]]
[[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[[]],[[[],[]]]]
[[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[[]],[[],[[]]]]
[[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[]],[]]]
[[.,[.,.]],[[[.,.],.],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[[]],[[],[],[]]]
[[[.,.],.],[.,[.,[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[[[[]]]]]
[[[.,.],.],[.,[[.,.],.]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[[[],[]]]]
[[[.,.],.],[[.,.],[.,.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[[],[[]]]]
[[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[[[]],[]]]
[[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[[],[],[]]]
[[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[[[]]],[[[]]]]
[[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[[[]]],[[],[]]]
[[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[[],[]],[[[]]]]
[[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[[],[]],[[],[]]]
[[[.,.],[.,.]],[.,[.,.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[],[[]],[[[]]]]
[[[.,.],[.,.]],[[.,.],.]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [[],[[]],[[],[]]]
[[[.,[.,.]],.],[.,[.,.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[[]],[],[[[]]]]
[[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[[]],[],[[],[]]]
[[[[.,.],.],.],[.,[.,.]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[[[]]]]
[[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[[],[]]]
[[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[[[[]]]],[[]]]
[[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[[[],[]]],[[]]]
[[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [[[],[[]]],[[]]]
[[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[]]]
[[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[]],[[]]]
[[[.,.],[.,[.,.]]],[.,.]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[],[[[]]],[[]]]
[[[.,.],[[.,.],.]],[.,.]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [[],[[],[]],[[]]]
[[[.,[.,.]],[.,.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]]]
[[[[.,.],.],[.,.]],[.,.]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[[]],[[]]]
[[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[[[]]],[],[[]]]
[[[.,[[.,.],.]],.],[.,.]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[[],[]],[],[[]]]
[[[[.,.],[.,.]],.],[.,.]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[],[[]],[],[[]]]
[[[[.,[.,.]],.],.],[.,.]] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[[]]]
[[[[[.,.],.],.],.],[.,.]] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[[]]]
[[.,[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[[[[[]]]]],[]]
[[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[[[[],[]]]],[]]
[[.,[.,[[.,.],[.,.]]]],.] => [1,1,1,0,1,1,0,0,0,0,1,0] => [[[[],[[]]]],[]]
[[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[[[[]],[]]],[]]
[[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[]]],[]]
[[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [[[],[[[]]]],[]]
[[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [[[],[[],[]]],[]]
[[.,[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]]],[]]
[[.,[[[.,.],.],[.,.]]],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[[]]],[]]
[[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[[[[]]],[]],[]]
[[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[[[],[]],[]],[]]
[[.,[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => [[[],[[]],[]],[]]
[[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[[[]],[],[]],[]]
[[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[]],[]]
[[[.,.],[.,[.,[.,.]]]],.] => [1,0,1,1,1,1,0,0,0,0,1,0] => [[],[[[[]]]],[]]
[[[.,.],[.,[[.,.],.]]],.] => [1,0,1,1,1,0,1,0,0,0,1,0] => [[],[[[],[]]],[]]
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[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[],[[[]]]],[[[]]]]
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[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[],[[],[[[]]]]],[]]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[],[[],[[],[]]]],[]]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[],[[[]],[[]]]],[]]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[],[[],[],[[]]]],[]]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[],[[[[]]],[]]],[]]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[],[[[],[]],[]]],[]]
[[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[],[[],[[]],[]]],[]]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[],[[[]],[],[]]],[]]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[],[[],[],[],[]]],[]]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [[[[]],[[[[]]]]],[]]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [[[[]],[[[],[]]]],[]]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [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] => [[[[]],[[[]],[]]],[]]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[[[]],[[],[],[]]],[]]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[[],[],[[[[]]]]],[]]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[[],[],[[[],[]]]],[]]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [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] => [[[],[],[[[]],[]]],[]]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[[],[],[[],[],[]]],[]]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[[[[]]],[[[]]]],[]]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[[[[]]],[[],[]]],[]]
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [[[[],[]],[[[]]]],[]]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [[[[],[]],[[],[]]],[]]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[],[[]],[[[]]]],[]]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[],[[]],[[],[]]],[]]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [[[[]],[],[[[]]]],[]]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [[[[]],[],[[],[]]],[]]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[[],[],[],[[[]]]],[]]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[[],[],[],[[],[]]],[]]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [[[[[[]]]],[[]]],[]]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [[[[[],[]]],[[]]],[]]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [[[[],[[]]],[[]]],[]]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [[[[[]],[]],[[]]],[]]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [[[[],[],[]],[[]]],[]]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[],[[[]]],[[]]],[]]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[],[[],[]],[[]]],[]]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]],[[]]],[]]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[[],[],[[]],[[]]],[]]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[[[[]]],[],[[]]],[]]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [[[[],[]],[],[[]]],[]]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[],[[]],[],[[]]],[]]
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [[[[]],[],[],[[]]],[]]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[],[],[[]]],[]]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [[[[[[[]]]]],[]],[]]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[[[[[],[]]]],[]],[]]
[[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [[[[[],[[]]]],[]],[]]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[[[]],[]]],[]],[]]
[[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[[],[],[]]],[]],[]]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [[[[],[[[]]]],[]],[]]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [[[[],[[],[]]],[]],[]]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[[[[]],[[]]],[]],[]]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[[[],[],[[]]],[]],[]]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[[[[[]]],[]],[]],[]]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[],[]],[]],[]],[]]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[[[],[[]],[]],[]],[]]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[[[[]],[],[]],[]],[]]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[[[],[],[],[]],[]],[]]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[],[[[[]]]],[]],[]]
[[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[],[[[],[]]],[]],[]]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [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] => [[[],[[[]],[]],[]],[]]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[],[[],[],[]],[]],[]]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [[[[]],[[[]]],[]],[]]
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [[[[]],[[],[]],[]],[]]
[[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[[],[],[[[]]],[]],[]]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[[],[],[[],[]],[]],[]]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [[[[[]]],[[]],[]],[]]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [[[[],[]],[[]],[]],[]]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[],[[]],[[]],[]],[]]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [[[[]],[],[[]],[]],[]]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[[],[],[],[[]],[]],[]]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [[[[[[]]]],[],[]],[]]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [[[[[],[]]],[],[]],[]]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [[[[],[[]]],[],[]],[]]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [[[[[]],[]],[],[]],[]]
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [[[[],[],[]],[],[]],[]]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[],[[[]]],[],[]],[]]
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[],[[],[]],[],[]],[]]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [[[[]],[[]],[],[]],[]]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[],[],[[]],[],[]],[]]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[[[[]]],[],[],[]],[]]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[[[],[]],[],[],[]],[]]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[],[[]],[],[],[]],[]]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[[[]],[],[],[],[]],[]]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[],[]],[]]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[],[[[[[[]]]]]],[]]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[],[[[[[],[]]]]],[]]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[],[[[[],[[]]]]],[]]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[],[[[[[]],[]]]],[]]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[],[[[[],[],[]]]],[]]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[],[[[],[[[]]]]],[]]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[],[[[],[[],[]]]],[]]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[],[[[[]],[[]]]],[]]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[],[[]]]],[]]
[[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[],[[[[[]]],[]]],[]]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[],[[[[],[]],[]]],[]]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[],[[[],[[]],[]]],[]]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[],[[[[]],[],[]]],[]]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[],[[[],[],[],[]]],[]]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[],[[],[[[[]]]]],[]]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[],[[],[[[],[]]]],[]]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[],[[],[[],[[]]]],[]]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[],[[],[[[]],[]]],[]]
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[],[[],[[],[],[]]],[]]
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[],[[[]],[[[]]]],[]]
[[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[],[[[]],[[],[]]],[]]
[[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[],[[],[],[[[]]]],[]]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[],[[],[],[[],[]]],[]]
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[],[[[[]]],[[]]],[]]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[],[[[],[]],[[]]],[]]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[],[[],[[]],[[]]],[]]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[],[[[]],[],[[]]],[]]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[],[[],[],[],[[]]],[]]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[],[[[[[]]]],[]],[]]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[],[[[[],[]]],[]],[]]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[],[[[],[[]]],[]],[]]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[],[[[[]],[]],[]],[]]
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[],[[[],[],[]],[]],[]]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[],[[],[[[]]],[]],[]]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[],[[],[[],[]],[]],[]]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[],[[[]],[[]],[]],[]]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[],[[],[],[[]],[]],[]]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[],[[[[]]],[],[]],[]]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[],[[[],[]],[],[]],[]]
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[],[[],[[]],[],[]],[]]
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[],[[[]],[],[],[]],[]]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[[],[],[],[],[]],[]]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[]],[[[[[]]]]],[]]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[[]],[[[[],[]]]],[]]
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[[]],[[[],[[]]]],[]]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[]],[[[[]],[]]],[]]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[]],[[[],[],[]]],[]]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[]],[[],[[[]]]],[]]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[]],[[],[[],[]]],[]]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[]],[[[]],[[]]],[]]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[]],[[],[],[[]]],[]]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[]],[[[[]]],[]],[]]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[]],[[[],[]],[]],[]]
[[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[]],[[],[[]],[]],[]]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[]],[[[]],[],[]],[]]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[]],[[],[],[],[]],[]]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[],[],[[[[[]]]]],[]]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[],[],[[[[],[]]]],[]]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [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] => [[],[],[[[[]],[]]],[]]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[],[],[[[],[],[]]],[]]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[],[],[[],[[[]]]],[]]
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[],[],[[],[[],[]]],[]]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[],[],[[[]],[[]]],[]]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[],[],[[],[],[[]]],[]]
[[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[],[],[[[[]]],[]],[]]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[],[],[[[],[]],[]],[]]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[],[],[[],[[]],[]],[]]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[],[],[[[]],[],[]],[]]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[],[],[[],[],[],[]],[]]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[]]],[[[[]]]],[]]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [[[[]]],[[[],[]]],[]]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[]]],[[],[[]]],[]]
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [[[[]]],[[[]],[]],[]]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [[[[]]],[[],[],[]],[]]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[],[]],[[[[]]]],[]]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[],[]],[[[],[]]],[]]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [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] => [[[],[]],[[[]],[]],[]]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[],[]],[[],[],[]],[]]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[],[[]],[[[[]]]],[]]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[],[[]],[[[],[]]],[]]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [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] => [[],[[]],[[[]],[]],[]]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[],[[]],[[],[],[]],[]]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[]],[],[[[[]]]],[]]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[]],[],[[[],[]]],[]]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[]],[],[[],[[]]],[]]
[[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[]],[],[[[]],[]],[]]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[]],[],[[],[],[]],[]]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[],[],[],[[[[]]]],[]]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[],[],[],[[[],[]]],[]]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[],[],[],[[],[[]]],[]]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[],[],[],[[[]],[]],[]]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[],[],[],[[],[],[]],[]]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[]]]],[[[]]],[]]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [[[[[]]]],[[],[]],[]]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[[[],[]]],[[[]]],[]]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[],[]]],[[],[]],[]]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[],[[]]],[[[]]],[]]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[],[[]]],[[],[]],[]]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [[[[]],[]],[[[]]],[]]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[[[]],[]],[[],[]],[]]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[],[],[]],[[[]]],[]]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[],[],[]],[[],[]],[]]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[],[[[]]],[[[]]],[]]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[],[[[]]],[[],[]],[]]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[],[[],[]],[[[]]],[]]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[],[[],[]],[[],[]],[]]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[]],[[]],[[[]]],[]]
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[]],[[]],[[],[]],[]]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[],[],[[]],[[[]]],[]]
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[],[],[[]],[[],[]],[]]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[]]],[],[[[]]],[]]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[]]],[],[[],[]],[]]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[],[]],[],[[[]]],[]]
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[],[]],[],[[],[]],[]]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[],[[]],[],[[[]]],[]]
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[],[[]],[],[[],[]],[]]
[[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[]],[],[],[[[]]],[]]
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[]],[],[],[[],[]],[]]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[],[],[[[]]],[]]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[],[],[[],[]],[]]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[]]]]],[[]],[]]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[[[[],[]]]],[[]],[]]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[],[[]]]],[[]],[]]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[[[]],[]]],[[]],[]]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[],[],[]]],[[]],[]]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[],[[[]]]],[[]],[]]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[],[[],[]]],[[]],[]]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[[[]],[[]]],[[]],[]]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[],[],[[]]],[[]],[]]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[[[[]]],[]],[[]],[]]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[],[]],[]],[[]],[]]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[],[[]],[]],[[]],[]]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [[[[]],[],[]],[[]],[]]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[],[],[],[]],[[]],[]]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[],[[[[]]]],[[]],[]]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[],[[[],[]]],[[]],[]]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[],[[],[[]]],[[]],[]]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[],[[[]],[]],[[]],[]]
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[],[[],[],[]],[[]],[]]
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[]],[[[]]],[[]],[]]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[]],[[],[]],[[]],[]]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[],[],[[[]]],[[]],[]]
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[],[],[[],[]],[[]],[]]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[]]],[[]],[[]],[]]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[],[]],[[]],[[]],[]]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[]],[[]],[[]],[]]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[]],[],[[]],[[]],[]]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[],[[]],[[]],[]]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[]]]],[],[[]],[]]
[[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[],[]]],[],[[]],[]]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[],[[]]],[],[[]],[]]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[]],[]],[],[[]],[]]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[],[],[]],[],[[]],[]]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[],[[[]]],[],[[]],[]]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[],[[],[]],[],[[]],[]]
[[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[]],[[]],[],[[]],[]]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[],[],[[]],[],[[]],[]]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[]]],[],[],[[]],[]]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[],[]],[],[],[[]],[]]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[],[[]],[],[],[[]],[]]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[]],[],[],[],[[]],[]]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[],[[]],[]]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[[[[[[]]]]]],[],[]]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [[[[[[],[]]]]],[],[]]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[[[[],[[]]]]],[],[]]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[[[[]],[]]]],[],[]]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [[[[[],[],[]]]],[],[]]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[],[[[]]]]],[],[]]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[],[[],[]]]],[],[]]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[[[[]],[[]]]],[],[]]
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[],[],[[]]]],[],[]]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[[[[[]]],[]]],[],[]]
[[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[[[[],[]],[]]],[],[]]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[],[[]],[]]],[],[]]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [[[[[]],[],[]]],[],[]]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[],[],[],[]]],[],[]]
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[],[[[[]]]]],[],[]]
[[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[],[[[],[]]]],[],[]]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[],[[],[[]]]],[],[]]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[],[[[]],[]]],[],[]]
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[],[[],[],[]]],[],[]]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [[[[]],[[[]]]],[],[]]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[]],[[],[]]],[],[]]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[],[],[[[]]]],[],[]]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[],[],[[],[]]],[],[]]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [[[[[]]],[[]]],[],[]]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [[[[],[]],[[]]],[],[]]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[],[[]],[[]]],[],[]]
[[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[[]],[],[[]]],[],[]]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[],[],[],[[]]],[],[]]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[[[]]]],[]],[],[]]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [[[[[],[]]],[]],[],[]]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [[[[],[[]]],[]],[],[]]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[[]],[]],[]],[],[]]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [[[[],[],[]],[]],[],[]]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[],[[[]]],[]],[],[]]
[[[.,[[[.,.],[[.,.],.]],.]],.],.] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[],[[],[]],[]],[],[]]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [[[[]],[[]],[]],[],[]]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[],[],[[]],[]],[],[]]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [[[[[]]],[],[]],[],[]]
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [[[[],[]],[],[]],[],[]]
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[],[[]],[],[]],[],[]]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[]],[],[],[]],[],[]]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[],[],[]],[],[]]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[],[[[[[]]]]],[],[]]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[],[[[[],[]]]],[],[]]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[],[[[],[[]]]],[],[]]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[],[[[[]],[]]],[],[]]
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[],[[[],[],[]]],[],[]]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[],[[],[[[]]]],[],[]]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[],[[],[[],[]]],[],[]]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[],[[[]],[[]]],[],[]]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[],[[],[],[[]]],[],[]]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[],[[[[]]],[]],[],[]]
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[],[[[],[]],[]],[],[]]
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[],[[],[[]],[]],[],[]]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[],[[[]],[],[]],[],[]]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[],[[],[],[],[]],[],[]]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[]],[[[[]]]],[],[]]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[]],[[[],[]]],[],[]]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[]],[[],[[]]],[],[]]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[]],[[[]],[]],[],[]]
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[]],[[],[],[]],[],[]]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[],[],[[[[]]]],[],[]]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[],[],[[[],[]]],[],[]]
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[],[],[[],[[]]],[],[]]
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[],[],[[[]],[]],[],[]]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[],[],[[],[],[]],[],[]]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[]]],[[[]]],[],[]]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[]]],[[],[]],[],[]]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[],[]],[[[]]],[],[]]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[],[]],[[],[]],[],[]]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[],[[]],[[[]]],[],[]]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[],[[]],[[],[]],[],[]]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[]],[],[[[]]],[],[]]
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[]],[],[[],[]],[],[]]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[],[],[],[[[]]],[],[]]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[],[],[],[[],[]],[],[]]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[[[]]]],[[]],[],[]]
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[],[]]],[[]],[],[]]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[],[[]]],[[]],[],[]]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[]],[]],[[]],[],[]]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[],[],[]],[[]],[],[]]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[],[[[]]],[[]],[],[]]
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[],[[],[]],[[]],[],[]]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[]],[[]],[[]],[],[]]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[],[],[[]],[[]],[],[]]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[]]],[],[[]],[],[]]
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[],[]],[],[[]],[],[]]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[],[[]],[],[[]],[],[]]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[]],[],[],[[]],[],[]]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[],[[]],[],[]]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[]]]]],[],[],[]]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[[[[],[]]]],[],[],[]]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[],[[]]]],[],[],[]]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [[[[[]],[]]],[],[],[]]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[],[],[]]],[],[],[]]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[],[[[]]]],[],[],[]]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[],[[],[]]],[],[],[]]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[]],[[]]],[],[],[]]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[],[],[[]]],[],[],[]]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [[[[[]]],[]],[],[],[]]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[],[]],[]],[],[],[]]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[],[[]],[]],[],[],[]]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[]],[],[]],[],[],[]]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[],[],[],[]],[],[],[]]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[],[[[[]]]],[],[],[]]
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[],[[[],[]]],[],[],[]]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[],[[],[[]]],[],[],[]]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[],[[[]],[]],[],[],[]]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[],[[],[],[]],[],[],[]]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[]],[[[]]],[],[],[]]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[]],[[],[]],[],[],[]]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[],[],[[[]]],[],[],[]]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[],[],[[],[]],[],[],[]]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[]]],[[]],[],[],[]]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[],[]],[[]],[],[],[]]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [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] => [[[]],[],[[]],[],[],[]]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[],[[]],[],[],[]]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[],[]]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[],[]]],[],[],[],[]]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[],[[]]],[],[],[],[]]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[]],[]],[],[],[],[]]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[],[],[]],[],[],[],[]]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[],[[[]]],[],[],[],[]]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[[],[]],[],[],[],[]]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[[]],[],[],[],[]]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[],[]]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[],[]]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[],[]],[],[],[],[],[]]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [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] => [[[]],[],[],[],[],[],[]]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[],[]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[]]]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[],[]]]]]]]]]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[[],[],[]]]]]]]]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[],[],[],[]]]]]]]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[],[],[]]]]]]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[],[],[]]]]]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[],[],[]]]]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[],[],[]]]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[],[],[]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[]]]]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[],[]]]]]]]]]]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[],[[]]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[],[],[]]]]]]]]]
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[[],[[],[]]]]]]]]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[[],[],[],[]]]]]]]]
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[],[[],[],[]]]]]]]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[],[],[],[],[]]]]]]]
[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[],[[],[],[],[]]]]]]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[],[],[],[]]]]]]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[],[[],[],[],[],[]]]]]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[],[],[],[]]]]]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[[],[],[],[],[],[]]]]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[],[],[],[]]]]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[],[],[]]]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[],[],[],[]]]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[],[],[],[]]
[.,[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[]],[[]],[[],[[]]]]]
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],.]]] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [[[],[[]],[[],[[]],[]]]]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[]]]]],[]]]]]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[]]]]]],[]]]]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[]]]]]]]],[]]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[[]]]],[]]]]]]]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[],[[[[[[[]]]]]]],[]]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[]]]]]]]]],[]]
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[],[[]]],[]],[]],[]]]
[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[[],[[]],[[]]],[]],[]]]
[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [[[[],[[]],[[]],[[]]],[]]]
[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[],[[]]],[],[[],[[]]]]]
[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[[],[[]]],[]],[],[[]]]]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]],[[]],[[]]]]
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[]],[[],[[]],[[]],[[]]]]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[]],[[],[[]]],[[]],[[]]]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]],[[]],[[]]],[]]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]],[[]],[[]]]
[.,[[[.,[[.,.],[.,.]]],.],[[.,[[.,.],[.,.]]],.]]] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[],[[]]],[],[[[],[[]]],[]]]]
[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[[.,.],[.,.]]]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[[],[[]]],[]],[],[[],[[]]]]]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]],[[]],[[]],[[]]]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[],[],[[]]]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[],[],[],[[]]]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[[]],[],[],[],[],[[]]]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[],[]],[],[],[],[],[[]]]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[[]],[],[],[],[],[]]]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[[]],[],[],[],[],[]]]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[],[],[],[]]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[],[[[[[[[[]]]]]]]]]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [[[[[[[[],[]]]]]]],[]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[],[[[[[[[[[]]]]]]]]]]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[[]]]]]]]]]],[]]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[],[]]]]]]]],[]]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [[[[[[[[]],[]]]]]],[]]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[[]],[]],[]],[]],[]]]
[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[]],[[]],[]],[]],[]]]
[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[]],[[[]],[]],[]],[]]]
[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[[]],[]],[[]],[]],[]]]
[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[[]],[[]],[]],[]]]
[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[[[[]],[]],[]],[]]]
[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[[]],[[]],[]],[]]]
[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[[[]],[]],[]]]
[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[]],[[[]],[]],[]]]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[[]],[]],[]],[[]],[]]]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[[]],[]],[[]],[]]]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[[]],[]],[[]],[]]]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[]],[[]],[[]],[]]]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[[]],[[]],[]]]
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[[[]],[]],[]],[]]]
[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[[]],[[]],[]],[]]]
[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[]],[[[]],[]],[]]]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[[]],[]],[[]],[]]]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[]],[[]],[[]],[]]]
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[]],[[[[]],[]],[]]]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[]],[[[]],[[]],[]]]
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[]],[[[[]],[]],[]]]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[]],[[[]],[[]],[]]]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[[]],[]],[]],[[[]],[]]]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[[]],[]],[[[]],[]]]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[]],[]],[[[]],[]]]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[]],[[]],[[[]],[]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[]],[[]],[[[]],[]]]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[[]],[]],[]],[]],[[]]]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[[]],[]],[]],[[]]]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[[]],[]],[]],[[]]]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[]],[[]],[]],[[]]]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[]],[[]],[]],[[]]]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[[]],[]],[]],[[]]]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[]],[[]],[]],[[]]]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[[]],[]],[[]]]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[]],[[[]],[]],[[]]]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[[]],[]],[]],[[]],[[]]]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[[]],[]],[[]],[[]]]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[[]],[]],[[]],[[]]]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[]],[[]],[[]],[[]]]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[[[]],[]],[]],[]],[]],[]]]
[.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[[]],[[]],[]],[]],[]],[]]]
[.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[]],[[[]],[]],[]],[]],[]]]
[.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[[]],[]],[[]],[]],[]],[]]]
[.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[]],[[]],[[]],[]],[]],[]]]
[.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[]],[[[[]],[]],[]],[]],[]]]
[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[]],[[[]],[[]],[]],[]],[]]]
[.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[]],[]],[[[]],[]],[]],[]]]
[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[]],[[]],[[[]],[]],[]],[]]]
[.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[[[]],[]],[]],[[]],[]],[]]]
[.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[[]],[[]],[]],[[]],[]],[]]]
[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[[[]],[]],[[]],[]],[]]]
[.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[[]],[]],[[]],[[]],[]],[]]]
[.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[[]],[[]],[[]],[]],[]]]
[.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[[[[[]],[]],[]],[]],[]]]
[.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[[[[]],[[]],[]],[]],[]]]
[.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[[[]],[[[]],[]],[]],[]]]
[.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[[[]],[]],[[]],[]],[]]]
[.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[[]],[[]],[[]],[]],[]]]
[.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[[[[]],[]],[]],[]]]
[.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[[[]],[[]],[]],[]]]
[.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[[]],[[[[]],[]],[]],[]]]
[.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[]],[[[]],[[]],[]],[]]]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[[[]],[]],[]],[[[]],[]],[]]]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[[]],[]],[[[]],[]],[]]]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[[]],[]],[[[]],[]],[]]]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[[]],[[[]],[]],[]]]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[]],[[]],[[[]],[]],[]]]
[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[[[]],[]],[]],[]],[[]],[]]]
[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[[]],[[]],[]],[]],[[]],[]]]
[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[[[]],[]],[]],[[]],[]]]
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[[]],[]],[[]],[]],[[]],[]]]
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[[]],[[]],[]],[[]],[]]]
[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[[[]],[]],[]],[[]],[]]]
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[[]],[[]],[]],[[]],[]]]
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[]],[[[]],[]],[[]],[]]]
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[[[]],[]],[[]],[]]]
[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[[[]],[]],[]],[[]],[[]],[]]]
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[[]],[]],[[]],[[]],[]]]
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[[]],[]],[[]],[[]],[]]]
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[]],[[]],[[]],[[]],[]]]
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[[]],[[]],[[]],[]]]
[[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[[[[]],[]],[]],[]],[]]]
[[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[[[]],[[]],[]],[]],[]]]
[[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[[]],[[[]],[]],[]],[]]]
[[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[[[]],[]],[[]],[]],[]]]
[[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[[]],[[]],[[]],[]],[]]]
[[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[]],[[[[]],[]],[]],[]]]
[[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[]],[[[]],[[]],[]],[]]]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[[]],[]],[[[]],[]],[]]]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[]],[[]],[[[]],[]],[]]]
[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[[[]],[]],[]],[[]],[]]]
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[[]],[[]],[]],[[]],[]]]
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[]],[[[]],[]],[[]],[]]]
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[[]],[]],[[]],[[]],[]]]
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[]],[[]],[[]],[[]],[]]]
[[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[]],[[[[[]],[]],[]],[]]]
[[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[]],[]],[[[[]],[[]],[]],[]]]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[]],[[[]],[[[]],[]],[]]]
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[]],[]],[[[[]],[]],[[]],[]]]
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[]],[[[]],[[]],[[]],[]]]
[[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[]],[[[[[]],[]],[]],[]]]
[[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[]],[[]],[[[[]],[[]],[]],[]]]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[]],[[[]],[[[]],[]],[]]]
[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[]],[[]],[[[[]],[]],[[]],[]]]
[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[]],[[[]],[[]],[[]],[]]]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[]],[[[[]],[]],[]]]
[[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[]],[]],[[[]],[[]],[]]]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[]],[]],[[[[]],[]],[]]]
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[]],[[[]],[[]],[]]]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[]],[]],[[[[]],[]],[]]]
[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[]],[]],[[[]],[[]],[]]]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[]],[[]],[[[[]],[]],[]]]
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[]],[[]],[[[]],[[]],[]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[]],[[]],[[[[]],[]],[]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[]],[[]],[[[]],[[]],[]]]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[[[]],[]],[]],[]],[[[]],[]]]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[[]],[[]],[]],[]],[[[]],[]]]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[[[]],[]],[]],[[[]],[]]]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[[]],[]],[[]],[]],[[[]],[]]]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[[]],[[]],[]],[[[]],[]]]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[[]],[]],[]],[[[]],[]]]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[]],[[]],[]],[[[]],[]]]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[]],[[[]],[]],[[[]],[]]]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[]],[[[]],[]],[[[]],[]]]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[[]],[]],[]],[[]],[[[]],[]]]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[[]],[]],[[]],[[[]],[]]]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[]],[]],[[]],[[[]],[]]]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[]],[[]],[[]],[[[]],[]]]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[]],[[]],[[]],[[[]],[]]]
[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[[[]],[]],[]],[]],[]],[[]]]
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[[]],[[]],[]],[]],[]],[[]]]
[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[[[]],[]],[]],[]],[[]]]
[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[[]],[]],[[]],[]],[]],[[]]]
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[[]],[[]],[]],[]],[[]]]
[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[[[]],[]],[]],[]],[[]]]
[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[[]],[[]],[]],[]],[[]]]
[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[]],[[[]],[]],[]],[[]]]
[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[]],[[[]],[]],[]],[[]]]
[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[[[]],[]],[]],[[]],[]],[[]]]
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[[]],[]],[[]],[]],[[]]]
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[[]],[]],[[]],[]],[[]]]
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[]],[[]],[[]],[]],[[]]]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[]],[[]],[[]],[]],[[]]]
[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[[[]],[]],[]],[]],[[]]]
[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[[]],[[]],[]],[]],[[]]]
[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[]],[[[]],[]],[]],[[]]]
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[[]],[]],[[]],[]],[[]]]
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[]],[[]],[[]],[]],[[]]]
[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[[[]],[]],[]],[[]]]
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[[]],[[]],[]],[[]]]
[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[]],[[]],[[[[]],[]],[]],[[]]]
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[]],[[[]],[[]],[]],[[]]]
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[]],[]],[[[]],[]],[[]]]
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[]],[]],[[[]],[]],[[]]]
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[]],[]],[[[]],[]],[[]]]
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[]],[[[]],[]],[[]]]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[]],[[]],[[[]],[]],[[]]]
[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[[[]],[]],[]],[]],[[]],[[]]]
[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[[]],[[]],[]],[]],[[]],[[]]]
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[[[]],[]],[]],[[]],[[]]]
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[[]],[]],[[]],[]],[[]],[[]]]
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[[]],[[]],[]],[[]],[[]]]
[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[[[]],[]],[]],[[]],[[]]]
[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[[]],[[]],[]],[[]],[[]]]
[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[]],[[[]],[]],[[]],[[]]]
[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[[]],[]],[[]],[[]]]
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[]],[]],[]],[[]],[[]],[[]]]
[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[[]],[]],[[]],[[]],[[]]]
[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[[]],[]],[[]],[[]],[[]]]
[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[]],[[]],[[]],[[]],[[]]]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[]],[[[[[[[]]]]]]]]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[[]]],[[[[[[]]]]]]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[[]]]],[[[[[]]]]]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[[]]]]],[[[[]]]]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[[]]]]]],[[[]]]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[]]]]]]],[[]]]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[],[[[[[[[]]]]]]]]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[[]]]]]]],[],[]]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[[]]]]]],[],[],[]]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[]]]]],[],[],[],[]]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[],[],[]]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[],[],[]]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[],[],[]]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[[[]]]]]]]],[],[]]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[[[]]]]]]],[],[],[]]
[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[],[[[[[[]]]]]],[],[]]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[[]]]]]],[],[],[],[]]
[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[],[[[[[]]]]],[],[],[]]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[]]]]],[],[],[],[],[]]
[[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[],[[[[]]]],[],[],[],[]]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[],[],[],[]]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[[[]]],[],[],[],[],[]]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[],[],[],[]]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[],[],[]]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[],[],[],[]]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[],[[[[[[[]]]]]]]]]
[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[],[[]],[[]]],[[],[[]]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[]],[[]],[[]],[[],[[]]]]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[],[],[[]]]]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[],[],[],[[]]]]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[[]],[],[],[],[],[]]
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[]]],[[]],[],[],[],[]]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[[]]]]]],[[]],[]]
[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [[[[[[[[],[]],[]]]]]]]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[],[],[]],[]]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[],[]],[],[],[],[],[],[]]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[],[[]]],[],[],[],[],[]]
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[],[],[[]]],[],[],[],[]]
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[],[],[],[[]]],[],[],[]]
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[],[],[],[],[[]]],[],[]]
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[],[],[],[[]]],[]]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[],[],[]]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[],[[]],[],[],[],[]]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[],[],[[]],[],[],[]]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[],[],[[]],[],[]]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[],[],[[]],[]]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[],[],[],[]]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[],[],[],[]]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[[]],[],[],[],[],[]]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[[]],[],[],[],[]]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[],[],[],[[]],[],[],[]]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[],[],[],[[]],[],[]]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[],[],[],[[]],[]]
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[]],[[]],[[],[[]]],[]]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [[[[[[[[]]]]]],[[]]]]
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [[[[[[[]]]]],[],[],[]]]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[],[[[[[[]]]]]],[[]]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [[[[[[[]]]]]],[[],[]]]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[],[],[],[],[]]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[],[],[[[[[[[[]]]]]]]]]
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[[],[],[]],[],[],[],[]]
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[[],[]],[],[],[],[]]
[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[[],[]],[],[],[],[]]
[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[],[[]],[[]],[[],[[]]]]
[.,[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]] => [1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[[]],[[[[[]]]]]]]
[.,[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[[],[[]],[[],[[]]]]]]
[.,[[[[[[.,.],.],.],.],[.,.]],[.,.]]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[[],[],[],[],[[]],[[]]]]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [[[[[[[]]]]],[],[[]]]]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [[[[[[[[[]]]]]]],[[]]]]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[]],[[],[],[],[],[],[]]]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[[],[],[],[],[],[]],[]]
[.,[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [[[[[[[]]]]],[[],[]]]]
[.,[.,[[.,[.,[[[[.,.],.],.],.]]],.]]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[[[],[],[],[]]],[]]]]
[.,[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [[[[[[[],[],[]]]]],[]]]
[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[[],[[]],[[],[[]]]],[]]
[[[[.,.],.],.],[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[],[],[],[[[],[],[[]]]]]
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[[],[],[]]]]]],[]]
[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [[[[[[[[],[],[]]]]]]],[]]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[],[],[],[[]],[[]]]
[[[[.,.],[.,.]],[.,.]],[[.,[.,.]],[.,.]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[],[[]],[[]],[[[]],[[]]]]
[[[.,.],.],[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[],[],[[[],[],[],[[]]]]]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[],[],[],[],[[]],[[]]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[],[]]]]]]]]]]]
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [[[[[[[[],[]]]]]],[]]]
[[[.,.],[[[.,.],.],.]],[[.,.],[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[],[[],[],[]],[[],[[]]]]
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[],[]],[[]],[],[],[],[]]
[.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [[[[[[[[]]]]],[],[]]]]
[.,[.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]]] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[[]],[],[],[]]]]]]]
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[],[]]]],[],[],[],[]]
[[[[[.,[.,[.,[.,.]]]],.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[]]]],[],[],[],[[]]]
[[.,[.,[.,[.,.]]]],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[[[]]]],[[],[],[],[],[]]]
[.,[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [[[[[[[[]]]]],[]],[]]]
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[[]]]]],[[[]]],[]]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[[[]]]]]]],[[]],[]]
[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[],[[[[[[[]]]]]],[]]]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[[],[]],[],[],[],[],[]]
[[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [[[[[[[]]]]],[[]]],[]]
[[[.,.],[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[],[[]],[[[[[],[]]]]]]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[[]],[],[],[],[],[],[[]]]
[[[[[[.,[.,.]],.],.],.],[.,.]],[.,.]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[]],[],[],[],[[]],[[]]]
[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[],[],[],[],[]],[],[[]]]
[[[.,.],[.,.]],[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[],[[]],[[],[[[]],[]]]]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[],[[[[[[[]]]]]]],[[]]]
[.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[],[],[]]]]]]]]]]
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [[[[[[[],[]]]]]],[],[]]
[[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[[[]]]]],[[[],[]]]]
[[[.,[.,[.,.]]],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[[]]],[[]],[[],[[]]]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [[[[[[[[]]]]]]],[[],[]]]
Map
to Tamari-corresponding Dyck path
Description
Return the Dyck path associated with a binary tree in consistency with the Tamari order on Dyck words and binary trees.
The bijection is defined recursively as follows:
The bijection is defined recursively as follows:
- a leaf is associated with an empty Dyck path,
- a tree with children l,r is associated with the Dyck word T(l)1T(r)0 where T(l) and T(r) are the images of this bijection to l and r.
Map
to ordered tree
Description
Sends a Dyck path to the ordered tree encoding the heights of the path.
This map is recursively defined as follows: A Dyck path D of semilength n may be decomposed, according to its returns (St000011The number of touch points (or returns) of a Dyck path.), into smaller paths D1,…,Dk of respective semilengths n1,…,nk (so one has n=n1+…nk) each of which has no returns.
Denote by ˜Di the path of semilength ni−1 obtained from Di by removing the initial up- and the final down-step.
This map then sends D to the tree T having a root note with ordered children T1,…,Tk which are again ordered trees computed from D1,…,Dk respectively.
The unique path of semilength 1 is sent to the tree consisting of a single node.
This map is recursively defined as follows: A Dyck path D of semilength n may be decomposed, according to its returns (St000011The number of touch points (or returns) of a Dyck path.), into smaller paths D1,…,Dk of respective semilengths n1,…,nk (so one has n=n1+…nk) each of which has no returns.
Denote by ˜Di the path of semilength ni−1 obtained from Di by removing the initial up- and the final down-step.
This map then sends D to the tree T having a root note with ordered children T1,…,Tk which are again ordered trees computed from D1,…,Dk respectively.
The unique path of semilength 1 is sent to the tree consisting of a single node.
searching the database
Sorry, this map was not found in the database.