Identifier
Images
[] => .
[[]] => [.,.]
[[],[]] => [[.,.],.]
[[[]]] => [.,[.,.]]
[[],[],[]] => [[[.,.],.],.]
[[],[[]]] => [[.,.],[.,.]]
[[[]],[]] => [[.,[.,.]],.]
[[[],[]]] => [.,[[.,.],.]]
[[[[]]]] => [.,[.,[.,.]]]
[[],[],[],[]] => [[[[.,.],.],.],.]
[[],[],[[]]] => [[[.,.],.],[.,.]]
[[],[[]],[]] => [[[.,.],[.,.]],.]
[[],[[],[]]] => [[.,.],[[.,.],.]]
[[],[[[]]]] => [[.,.],[.,[.,.]]]
[[[]],[],[]] => [[[.,[.,.]],.],.]
[[[]],[[]]] => [[.,[.,.]],[.,.]]
[[[],[]],[]] => [[.,[[.,.],.]],.]
[[[[]]],[]] => [[.,[.,[.,.]]],.]
[[[],[],[]]] => [.,[[[.,.],.],.]]
[[[],[[]]]] => [.,[[.,.],[.,.]]]
[[[[]],[]]] => [.,[[.,[.,.]],.]]
[[[[],[]]]] => [.,[.,[[.,.],.]]]
[[[[[]]]]] => [.,[.,[.,[.,.]]]]
[[],[],[],[],[]] => [[[[[.,.],.],.],.],.]
[[],[],[],[[]]] => [[[[.,.],.],.],[.,.]]
[[],[],[[]],[]] => [[[[.,.],.],[.,.]],.]
[[],[],[[],[]]] => [[[.,.],.],[[.,.],.]]
[[],[],[[[]]]] => [[[.,.],.],[.,[.,.]]]
[[],[[]],[],[]] => [[[[.,.],[.,.]],.],.]
[[],[[]],[[]]] => [[[.,.],[.,.]],[.,.]]
[[],[[],[]],[]] => [[[.,.],[[.,.],.]],.]
[[],[[[]]],[]] => [[[.,.],[.,[.,.]]],.]
[[],[[],[],[]]] => [[.,.],[[[.,.],.],.]]
[[],[[],[[]]]] => [[.,.],[[.,.],[.,.]]]
[[],[[[]],[]]] => [[.,.],[[.,[.,.]],.]]
[[],[[[],[]]]] => [[.,.],[.,[[.,.],.]]]
[[],[[[[]]]]] => [[.,.],[.,[.,[.,.]]]]
[[[]],[],[],[]] => [[[[.,[.,.]],.],.],.]
[[[]],[],[[]]] => [[[.,[.,.]],.],[.,.]]
[[[]],[[]],[]] => [[[.,[.,.]],[.,.]],.]
[[[]],[[],[]]] => [[.,[.,.]],[[.,.],.]]
[[[]],[[[]]]] => [[.,[.,.]],[.,[.,.]]]
[[[],[]],[],[]] => [[[.,[[.,.],.]],.],.]
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.]
[[[],[]],[[]]] => [[.,[[.,.],.]],[.,.]]
[[[[]]],[[]]] => [[.,[.,[.,.]]],[.,.]]
[[[],[],[]],[]] => [[.,[[[.,.],.],.]],.]
[[[],[[]]],[]] => [[.,[[.,.],[.,.]]],.]
[[[[]],[]],[]] => [[.,[[.,[.,.]],.]],.]
[[[[],[]]],[]] => [[.,[.,[[.,.],.]]],.]
[[[[[]]]],[]] => [[.,[.,[.,[.,.]]]],.]
[[[],[],[],[]]] => [.,[[[[.,.],.],.],.]]
[[[],[],[[]]]] => [.,[[[.,.],.],[.,.]]]
[[[],[[]],[]]] => [.,[[[.,.],[.,.]],.]]
[[[],[[],[]]]] => [.,[[.,.],[[.,.],.]]]
[[[],[[[]]]]] => [.,[[.,.],[.,[.,.]]]]
[[[[]],[],[]]] => [.,[[[.,[.,.]],.],.]]
[[[[]],[[]]]] => [.,[[.,[.,.]],[.,.]]]
[[[[],[]],[]]] => [.,[[.,[[.,.],.]],.]]
[[[[[]]],[]]] => [.,[[.,[.,[.,.]]],.]]
[[[[],[],[]]]] => [.,[.,[[[.,.],.],.]]]
[[[[],[[]]]]] => [.,[.,[[.,.],[.,.]]]]
[[[[[]],[]]]] => [.,[.,[[.,[.,.]],.]]]
[[[[[],[]]]]] => [.,[.,[.,[[.,.],.]]]]
[[[[[[]]]]]] => [.,[.,[.,[.,[.,.]]]]]
[[],[],[],[],[],[]] => [[[[[[.,.],.],.],.],.],.]
[[],[],[],[],[[]]] => [[[[[.,.],.],.],.],[.,.]]
[[],[],[],[[]],[]] => [[[[[.,.],.],.],[.,.]],.]
[[],[],[],[[],[]]] => [[[[.,.],.],.],[[.,.],.]]
[[],[],[],[[[]]]] => [[[[.,.],.],.],[.,[.,.]]]
[[],[],[[]],[],[]] => [[[[[.,.],.],[.,.]],.],.]
[[],[],[[]],[[]]] => [[[[.,.],.],[.,.]],[.,.]]
[[],[],[[],[]],[]] => [[[[.,.],.],[[.,.],.]],.]
[[],[],[[[]]],[]] => [[[[.,.],.],[.,[.,.]]],.]
[[],[],[[],[],[]]] => [[[.,.],.],[[[.,.],.],.]]
[[],[],[[],[[]]]] => [[[.,.],.],[[.,.],[.,.]]]
[[],[],[[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]]
[[],[],[[[],[]]]] => [[[.,.],.],[.,[[.,.],.]]]
[[],[],[[[[]]]]] => [[[.,.],.],[.,[.,[.,.]]]]
[[],[[]],[],[],[]] => [[[[[.,.],[.,.]],.],.],.]
[[],[[]],[],[[]]] => [[[[.,.],[.,.]],.],[.,.]]
[[],[[]],[[]],[]] => [[[[.,.],[.,.]],[.,.]],.]
[[],[[]],[[],[]]] => [[[.,.],[.,.]],[[.,.],.]]
[[],[[]],[[[]]]] => [[[.,.],[.,.]],[.,[.,.]]]
[[],[[],[]],[],[]] => [[[[.,.],[[.,.],.]],.],.]
[[],[[[]]],[],[]] => [[[[.,.],[.,[.,.]]],.],.]
[[],[[],[]],[[]]] => [[[.,.],[[.,.],.]],[.,.]]
[[],[[[]]],[[]]] => [[[.,.],[.,[.,.]]],[.,.]]
[[],[[],[],[]],[]] => [[[.,.],[[[.,.],.],.]],.]
[[],[[],[[]]],[]] => [[[.,.],[[.,.],[.,.]]],.]
[[],[[[]],[]],[]] => [[[.,.],[[.,[.,.]],.]],.]
[[],[[[],[]]],[]] => [[[.,.],[.,[[.,.],.]]],.]
[[],[[[[]]]],[]] => [[[.,.],[.,[.,[.,.]]]],.]
[[],[[],[],[],[]]] => [[.,.],[[[[.,.],.],.],.]]
[[],[[],[],[[]]]] => [[.,.],[[[.,.],.],[.,.]]]
[[],[[],[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]]
[[],[[],[[],[]]]] => [[.,.],[[.,.],[[.,.],.]]]
[[],[[],[[[]]]]] => [[.,.],[[.,.],[.,[.,.]]]]
[[],[[[]],[],[]]] => [[.,.],[[[.,[.,.]],.],.]]
[[],[[[]],[[]]]] => [[.,.],[[.,[.,.]],[.,.]]]
[[],[[[],[]],[]]] => [[.,.],[[.,[[.,.],.]],.]]
>>> Load all 2230 entries. <<<
[[],[[[[]]],[]]] => [[.,.],[[.,[.,[.,.]]],.]]
[[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],.],.]]]
[[],[[[],[[]]]]] => [[.,.],[.,[[.,.],[.,.]]]]
[[],[[[[]],[]]]] => [[.,.],[.,[[.,[.,.]],.]]]
[[],[[[[],[]]]]] => [[.,.],[.,[.,[[.,.],.]]]]
[[],[[[[[]]]]]] => [[.,.],[.,[.,[.,[.,.]]]]]
[[[]],[],[],[],[]] => [[[[[.,[.,.]],.],.],.],.]
[[[]],[],[],[[]]] => [[[[.,[.,.]],.],.],[.,.]]
[[[]],[],[[]],[]] => [[[[.,[.,.]],.],[.,.]],.]
[[[]],[],[[],[]]] => [[[.,[.,.]],.],[[.,.],.]]
[[[]],[],[[[]]]] => [[[.,[.,.]],.],[.,[.,.]]]
[[[]],[[]],[],[]] => [[[[.,[.,.]],[.,.]],.],.]
[[[]],[[]],[[]]] => [[[.,[.,.]],[.,.]],[.,.]]
[[[]],[[],[]],[]] => [[[.,[.,.]],[[.,.],.]],.]
[[[]],[[[]]],[]] => [[[.,[.,.]],[.,[.,.]]],.]
[[[]],[[],[],[]]] => [[.,[.,.]],[[[.,.],.],.]]
[[[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[.,.]]]
[[[]],[[[]],[]]] => [[.,[.,.]],[[.,[.,.]],.]]
[[[]],[[[],[]]]] => [[.,[.,.]],[.,[[.,.],.]]]
[[[]],[[[[]]]]] => [[.,[.,.]],[.,[.,[.,.]]]]
[[[],[]],[],[],[]] => [[[[.,[[.,.],.]],.],.],.]
[[[[]]],[],[],[]] => [[[[.,[.,[.,.]]],.],.],.]
[[[],[]],[],[[]]] => [[[.,[[.,.],.]],.],[.,.]]
[[[[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,.]]
[[[],[]],[[]],[]] => [[[.,[[.,.],.]],[.,.]],.]
[[[[]]],[[]],[]] => [[[.,[.,[.,.]]],[.,.]],.]
[[[],[]],[[],[]]] => [[.,[[.,.],.]],[[.,.],.]]
[[[],[]],[[[]]]] => [[.,[[.,.],.]],[.,[.,.]]]
[[[[]]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],.]]
[[[[]]],[[[]]]] => [[.,[.,[.,.]]],[.,[.,.]]]
[[[],[],[]],[],[]] => [[[.,[[[.,.],.],.]],.],.]
[[[],[[]]],[],[]] => [[[.,[[.,.],[.,.]]],.],.]
[[[[]],[]],[],[]] => [[[.,[[.,[.,.]],.]],.],.]
[[[[],[]]],[],[]] => [[[.,[.,[[.,.],.]]],.],.]
[[[[[]]]],[],[]] => [[[.,[.,[.,[.,.]]]],.],.]
[[[],[],[]],[[]]] => [[.,[[[.,.],.],.]],[.,.]]
[[[],[[]]],[[]]] => [[.,[[.,.],[.,.]]],[.,.]]
[[[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[.,.]]
[[[[],[]]],[[]]] => [[.,[.,[[.,.],.]]],[.,.]]
[[[[[]]]],[[]]] => [[.,[.,[.,[.,.]]]],[.,.]]
[[[],[],[],[]],[]] => [[.,[[[[.,.],.],.],.]],.]
[[[],[],[[]]],[]] => [[.,[[[.,.],.],[.,.]]],.]
[[[],[[]],[]],[]] => [[.,[[[.,.],[.,.]],.]],.]
[[[],[[],[]]],[]] => [[.,[[.,.],[[.,.],.]]],.]
[[[],[[[]]]],[]] => [[.,[[.,.],[.,[.,.]]]],.]
[[[[]],[],[]],[]] => [[.,[[[.,[.,.]],.],.]],.]
[[[[]],[[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.]
[[[[],[]],[]],[]] => [[.,[[.,[[.,.],.]],.]],.]
[[[[[]]],[]],[]] => [[.,[[.,[.,[.,.]]],.]],.]
[[[[],[],[]]],[]] => [[.,[.,[[[.,.],.],.]]],.]
[[[[],[[]]]],[]] => [[.,[.,[[.,.],[.,.]]]],.]
[[[[[]],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],.]
[[[[[],[]]]],[]] => [[.,[.,[.,[[.,.],.]]]],.]
[[[[[[]]]]],[]] => [[.,[.,[.,[.,[.,.]]]]],.]
[[[],[],[],[],[]]] => [.,[[[[[.,.],.],.],.],.]]
[[[],[],[],[[]]]] => [.,[[[[.,.],.],.],[.,.]]]
[[[],[],[[]],[]]] => [.,[[[[.,.],.],[.,.]],.]]
[[[],[],[[],[]]]] => [.,[[[.,.],.],[[.,.],.]]]
[[[],[],[[[]]]]] => [.,[[[.,.],.],[.,[.,.]]]]
[[[],[[]],[],[]]] => [.,[[[[.,.],[.,.]],.],.]]
[[[],[[]],[[]]]] => [.,[[[.,.],[.,.]],[.,.]]]
[[[],[[],[]],[]]] => [.,[[[.,.],[[.,.],.]],.]]
[[[],[[[]]],[]]] => [.,[[[.,.],[.,[.,.]]],.]]
[[[],[[],[],[]]]] => [.,[[.,.],[[[.,.],.],.]]]
[[[],[[],[[]]]]] => [.,[[.,.],[[.,.],[.,.]]]]
[[[],[[[]],[]]]] => [.,[[.,.],[[.,[.,.]],.]]]
[[[],[[[],[]]]]] => [.,[[.,.],[.,[[.,.],.]]]]
[[[],[[[[]]]]]] => [.,[[.,.],[.,[.,[.,.]]]]]
[[[[]],[],[],[]]] => [.,[[[[.,[.,.]],.],.],.]]
[[[[]],[],[[]]]] => [.,[[[.,[.,.]],.],[.,.]]]
[[[[]],[[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]]
[[[[]],[[],[]]]] => [.,[[.,[.,.]],[[.,.],.]]]
[[[[]],[[[]]]]] => [.,[[.,[.,.]],[.,[.,.]]]]
[[[[],[]],[],[]]] => [.,[[[.,[[.,.],.]],.],.]]
[[[[[]]],[],[]]] => [.,[[[.,[.,[.,.]]],.],.]]
[[[[],[]],[[]]]] => [.,[[.,[[.,.],.]],[.,.]]]
[[[[[]]],[[]]]] => [.,[[.,[.,[.,.]]],[.,.]]]
[[[[],[],[]],[]]] => [.,[[.,[[[.,.],.],.]],.]]
[[[[],[[]]],[]]] => [.,[[.,[[.,.],[.,.]]],.]]
[[[[[]],[]],[]]] => [.,[[.,[[.,[.,.]],.]],.]]
[[[[[],[]]],[]]] => [.,[[.,[.,[[.,.],.]]],.]]
[[[[[[]]]],[]]] => [.,[[.,[.,[.,[.,.]]]],.]]
[[[[],[],[],[]]]] => [.,[.,[[[[.,.],.],.],.]]]
[[[[],[],[[]]]]] => [.,[.,[[[.,.],.],[.,.]]]]
[[[[],[[]],[]]]] => [.,[.,[[[.,.],[.,.]],.]]]
[[[[],[[],[]]]]] => [.,[.,[[.,.],[[.,.],.]]]]
[[[[],[[[]]]]]] => [.,[.,[[.,.],[.,[.,.]]]]]
[[[[[]],[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]]
[[[[[]],[[]]]]] => [.,[.,[[.,[.,.]],[.,.]]]]
[[[[[],[]],[]]]] => [.,[.,[[.,[[.,.],.]],.]]]
[[[[[[]]],[]]]] => [.,[.,[[.,[.,[.,.]]],.]]]
[[[[[],[],[]]]]] => [.,[.,[.,[[[.,.],.],.]]]]
[[[[[],[[]]]]]] => [.,[.,[.,[[.,.],[.,.]]]]]
[[[[[[]],[]]]]] => [.,[.,[.,[[.,[.,.]],.]]]]
[[[[[[],[]]]]]] => [.,[.,[.,[.,[[.,.],.]]]]]
[[[[[[[]]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[],[],[],[],[],[],[]] => [[[[[[[.,.],.],.],.],.],.],.]
[[],[],[],[],[],[[]]] => [[[[[[.,.],.],.],.],.],[.,.]]
[[],[],[],[],[[]],[]] => [[[[[[.,.],.],.],.],[.,.]],.]
[[],[],[],[],[[],[]]] => [[[[[.,.],.],.],.],[[.,.],.]]
[[],[],[],[],[[[]]]] => [[[[[.,.],.],.],.],[.,[.,.]]]
[[],[],[],[[]],[],[]] => [[[[[[.,.],.],.],[.,.]],.],.]
[[],[],[],[[]],[[]]] => [[[[[.,.],.],.],[.,.]],[.,.]]
[[],[],[],[[],[]],[]] => [[[[[.,.],.],.],[[.,.],.]],.]
[[],[],[],[[[]]],[]] => [[[[[.,.],.],.],[.,[.,.]]],.]
[[],[],[],[[],[],[]]] => [[[[.,.],.],.],[[[.,.],.],.]]
[[],[],[],[[],[[]]]] => [[[[.,.],.],.],[[.,.],[.,.]]]
[[],[],[],[[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]]
[[],[],[],[[[],[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]]
[[],[],[],[[[[]]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]]
[[],[],[[]],[],[],[]] => [[[[[[.,.],.],[.,.]],.],.],.]
[[],[],[[]],[],[[]]] => [[[[[.,.],.],[.,.]],.],[.,.]]
[[],[],[[]],[[]],[]] => [[[[[.,.],.],[.,.]],[.,.]],.]
[[],[],[[]],[[],[]]] => [[[[.,.],.],[.,.]],[[.,.],.]]
[[],[],[[]],[[[]]]] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[[],[],[[],[]],[],[]] => [[[[[.,.],.],[[.,.],.]],.],.]
[[],[],[[[]]],[],[]] => [[[[[.,.],.],[.,[.,.]]],.],.]
[[],[],[[],[]],[[]]] => [[[[.,.],.],[[.,.],.]],[.,.]]
[[],[],[[[]]],[[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[[],[],[[],[],[]],[]] => [[[[.,.],.],[[[.,.],.],.]],.]
[[],[],[[],[[]]],[]] => [[[[.,.],.],[[.,.],[.,.]]],.]
[[],[],[[[]],[]],[]] => [[[[.,.],.],[[.,[.,.]],.]],.]
[[],[],[[[],[]]],[]] => [[[[.,.],.],[.,[[.,.],.]]],.]
[[],[],[[[[]]]],[]] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[[],[],[[],[],[],[]]] => [[[.,.],.],[[[[.,.],.],.],.]]
[[],[],[[],[],[[]]]] => [[[.,.],.],[[[.,.],.],[.,.]]]
[[],[],[[],[[]],[]]] => [[[.,.],.],[[[.,.],[.,.]],.]]
[[],[],[[],[[],[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]]
[[],[],[[],[[[]]]]] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[[],[],[[[]],[],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]]
[[],[],[[[]],[[]]]] => [[[.,.],.],[[.,[.,.]],[.,.]]]
[[],[],[[[],[]],[]]] => [[[.,.],.],[[.,[[.,.],.]],.]]
[[],[],[[[[]]],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]]
[[],[],[[[],[],[]]]] => [[[.,.],.],[.,[[[.,.],.],.]]]
[[],[],[[[],[[]]]]] => [[[.,.],.],[.,[[.,.],[.,.]]]]
[[],[],[[[[]],[]]]] => [[[.,.],.],[.,[[.,[.,.]],.]]]
[[],[],[[[[],[]]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]]
[[],[],[[[[[]]]]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[[],[[]],[],[],[],[]] => [[[[[[.,.],[.,.]],.],.],.],.]
[[],[[]],[],[],[[]]] => [[[[[.,.],[.,.]],.],.],[.,.]]
[[],[[]],[],[[]],[]] => [[[[[.,.],[.,.]],.],[.,.]],.]
[[],[[]],[],[[],[]]] => [[[[.,.],[.,.]],.],[[.,.],.]]
[[],[[]],[],[[[]]]] => [[[[.,.],[.,.]],.],[.,[.,.]]]
[[],[[]],[[]],[],[]] => [[[[[.,.],[.,.]],[.,.]],.],.]
[[],[[]],[[]],[[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]]
[[],[[]],[[],[]],[]] => [[[[.,.],[.,.]],[[.,.],.]],.]
[[],[[]],[[[]]],[]] => [[[[.,.],[.,.]],[.,[.,.]]],.]
[[],[[]],[[],[],[]]] => [[[.,.],[.,.]],[[[.,.],.],.]]
[[],[[]],[[],[[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]]
[[],[[]],[[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]]
[[],[[]],[[[],[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]]
[[],[[]],[[[[]]]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[[],[[],[]],[],[],[]] => [[[[[.,.],[[.,.],.]],.],.],.]
[[],[[[]]],[],[],[]] => [[[[[.,.],[.,[.,.]]],.],.],.]
[[],[[],[]],[],[[]]] => [[[[.,.],[[.,.],.]],.],[.,.]]
[[],[[[]]],[],[[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]]
[[],[[],[]],[[]],[]] => [[[[.,.],[[.,.],.]],[.,.]],.]
[[],[[[]]],[[]],[]] => [[[[.,.],[.,[.,.]]],[.,.]],.]
[[],[[],[]],[[],[]]] => [[[.,.],[[.,.],.]],[[.,.],.]]
[[],[[],[]],[[[]]]] => [[[.,.],[[.,.],.]],[.,[.,.]]]
[[],[[[]]],[[],[]]] => [[[.,.],[.,[.,.]]],[[.,.],.]]
[[],[[[]]],[[[]]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[[],[[],[],[]],[],[]] => [[[[.,.],[[[.,.],.],.]],.],.]
[[],[[],[[]]],[],[]] => [[[[.,.],[[.,.],[.,.]]],.],.]
[[],[[[]],[]],[],[]] => [[[[.,.],[[.,[.,.]],.]],.],.]
[[],[[[],[]]],[],[]] => [[[[.,.],[.,[[.,.],.]]],.],.]
[[],[[[[]]]],[],[]] => [[[[.,.],[.,[.,[.,.]]]],.],.]
[[],[[],[],[]],[[]]] => [[[.,.],[[[.,.],.],.]],[.,.]]
[[],[[],[[]]],[[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]]
[[],[[[]],[]],[[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]]
[[],[[[],[]]],[[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]]
[[],[[[[]]]],[[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]]
[[],[[],[],[],[]],[]] => [[[.,.],[[[[.,.],.],.],.]],.]
[[],[[],[],[[]]],[]] => [[[.,.],[[[.,.],.],[.,.]]],.]
[[],[[],[[]],[]],[]] => [[[.,.],[[[.,.],[.,.]],.]],.]
[[],[[],[[],[]]],[]] => [[[.,.],[[.,.],[[.,.],.]]],.]
[[],[[],[[[]]]],[]] => [[[.,.],[[.,.],[.,[.,.]]]],.]
[[],[[[]],[],[]],[]] => [[[.,.],[[[.,[.,.]],.],.]],.]
[[],[[[]],[[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.]
[[],[[[],[]],[]],[]] => [[[.,.],[[.,[[.,.],.]],.]],.]
[[],[[[[]]],[]],[]] => [[[.,.],[[.,[.,[.,.]]],.]],.]
[[],[[[],[],[]]],[]] => [[[.,.],[.,[[[.,.],.],.]]],.]
[[],[[[],[[]]]],[]] => [[[.,.],[.,[[.,.],[.,.]]]],.]
[[],[[[[]],[]]],[]] => [[[.,.],[.,[[.,[.,.]],.]]],.]
[[],[[[[],[]]]],[]] => [[[.,.],[.,[.,[[.,.],.]]]],.]
[[],[[[[[]]]]],[]] => [[[.,.],[.,[.,[.,[.,.]]]]],.]
[[],[[],[],[],[],[]]] => [[.,.],[[[[[.,.],.],.],.],.]]
[[],[[],[],[],[[]]]] => [[.,.],[[[[.,.],.],.],[.,.]]]
[[],[[],[],[[]],[]]] => [[.,.],[[[[.,.],.],[.,.]],.]]
[[],[[],[],[[],[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]]
[[],[[],[],[[[]]]]] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[[],[[],[[]],[],[]]] => [[.,.],[[[[.,.],[.,.]],.],.]]
[[],[[],[[]],[[]]]] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[[],[[],[[],[]],[]]] => [[.,.],[[[.,.],[[.,.],.]],.]]
[[],[[],[[[]]],[]]] => [[.,.],[[[.,.],[.,[.,.]]],.]]
[[],[[],[[],[],[]]]] => [[.,.],[[.,.],[[[.,.],.],.]]]
[[],[[],[[],[[]]]]] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[],[[],[[[]],[]]]] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[[],[[],[[[],[]]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[[],[[],[[[[]]]]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[],[[[]],[],[],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]]
[[],[[[]],[],[[]]]] => [[.,.],[[[.,[.,.]],.],[.,.]]]
[[],[[[]],[[]],[]]] => [[.,.],[[[.,[.,.]],[.,.]],.]]
[[],[[[]],[[],[]]]] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[[],[[[]],[[[]]]]] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[],[[[],[]],[],[]]] => [[.,.],[[[.,[[.,.],.]],.],.]]
[[],[[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]]
[[],[[[],[]],[[]]]] => [[.,.],[[.,[[.,.],.]],[.,.]]]
[[],[[[[]]],[[]]]] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[[],[[[],[],[]],[]]] => [[.,.],[[.,[[[.,.],.],.]],.]]
[[],[[[],[[]]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],.]]
[[],[[[[]],[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]]
[[],[[[[],[]]],[]]] => [[.,.],[[.,[.,[[.,.],.]]],.]]
[[],[[[[[]]]],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]]
[[],[[[],[],[],[]]]] => [[.,.],[.,[[[[.,.],.],.],.]]]
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[[[]],[[]],[],[],[[]]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[[[]],[[]],[],[[]],[]] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[[[]],[[]],[],[[],[]]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[[[]],[[]],[],[[[]]]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[[[]],[[]],[[]],[],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[[[]],[[]],[[]],[[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[[[]],[[]],[[],[]],[]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[[[]],[[]],[[[]]],[]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[[[]],[[]],[[],[],[]]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[[[]],[[]],[[],[[]]]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[[[]],[[]],[[[]],[]]] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[[[]],[[]],[[[],[]]]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[[[]],[[]],[[[[]]]]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[[[]],[[],[]],[],[],[]] => [[[[[.,[.,.]],[[.,.],.]],.],.],.]
[[[]],[[[]]],[],[],[]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[[[]],[[],[]],[],[[]]] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[[[]],[[[]]],[],[[]]] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[[[]],[[],[]],[[]],[]] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[[[]],[[[]]],[[]],[]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[[[]],[[],[]],[[],[]]] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[[[]],[[],[]],[[[]]]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[[[]],[[[]]],[[],[]]] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[[[]],[[[]]],[[[]]]] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[[[]],[[],[],[]],[],[]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.]
[[[]],[[],[[]]],[],[]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[[[]],[[[]],[]],[],[]] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[[[]],[[[],[]]],[],[]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[[[]],[[[[]]]],[],[]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[[[]],[[],[],[]],[[]]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[[[]],[[],[[]]],[[]]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[[[]],[[[]],[]],[[]]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[[[]],[[[],[]]],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[[[]],[[[[]]]],[[]]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[[[]],[[],[],[],[]],[]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.]
[[[]],[[],[],[[]]],[]] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[[[]],[[],[[]],[]],[]] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[[[]],[[],[[],[]]],[]] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[[[]],[[],[[[]]]],[]] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[[[]],[[[]],[],[]],[]] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[[[]],[[[]],[[]]],[]] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[[[]],[[[],[]],[]],[]] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[[[]],[[[[]]],[]],[]] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[[[]],[[[],[],[]]],[]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[[[]],[[[],[[]]]],[]] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[[[]],[[[[]],[]]],[]] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[[[]],[[[[],[]]]],[]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[[[]],[[[[[]]]]],[]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[[[]],[[],[],[],[],[]]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]]
[[[]],[[],[],[],[[]]]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[[[]],[[],[],[[]],[]]] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[[[]],[[],[],[[],[]]]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[[[]],[[],[],[[[]]]]] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[[[]],[[],[[]],[],[]]] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]]
[[[]],[[],[[]],[[]]]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[[[]],[[],[[],[]],[]]] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[[[]],[[],[[[]]],[]]] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[[[]],[[],[[],[],[]]]] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[[[]],[[],[[],[[]]]]] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[[]],[[],[[[]],[]]]] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[[[]],[[],[[[],[]]]]] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[[[]],[[],[[[[]]]]]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[[]],[[[]],[],[],[]]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]]
[[[]],[[[]],[],[[]]]] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[[[]],[[[]],[[]],[]]] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[[[]],[[[]],[[],[]]]] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[[[]],[[[]],[[[]]]]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[[]],[[[],[]],[],[]]] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]]
[[[]],[[[[]]],[],[]]] => [[.,[.,.]],[[[.,[.,[.,.]]],.],.]]
[[[]],[[[],[]],[[]]]] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[[[]],[[[[]]],[[]]]] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[[[]],[[[],[],[]],[]]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]]
[[[]],[[[],[[]]],[]]] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]]
[[[]],[[[[]],[]],[]]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]]
[[[]],[[[[],[]]],[]]] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]]
[[[]],[[[[[]]]],[]]] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[[[]],[[[],[],[],[]]]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[[[]],[[[],[],[[]]]]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[[[]],[[[],[[]],[]]]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[[[]],[[[],[[],[]]]]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[[[]],[[[],[[[]]]]]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[[[]],[[[[]],[],[]]]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]
[[[]],[[[[]],[[]]]]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[[[]],[[[[],[]],[]]]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]
[[[]],[[[[[]]],[]]]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[[[]],[[[[],[],[]]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[[[]],[[[[],[[]]]]]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[[[]],[[[[[]],[]]]]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[[[]],[[[[[],[]]]]]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[[[]],[[[[[[]]]]]]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[[],[]],[],[],[],[],[]] => [[[[[[.,[[.,.],.]],.],.],.],.],.]
[[[[]]],[],[],[],[],[]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.]
[[[],[]],[],[],[],[[]]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]]
[[[[]]],[],[],[],[[]]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[[[],[]],[],[],[[]],[]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.]
[[[[]]],[],[],[[]],[]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.]
[[[],[]],[],[],[[],[]]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]]
[[[],[]],[],[],[[[]]]] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]]
[[[[]]],[],[],[[],[]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[[[[]]],[],[],[[[]]]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[[[],[]],[],[[]],[],[]] => [[[[[.,[[.,.],.]],.],[.,.]],.],.]
[[[[]]],[],[[]],[],[]] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[[[],[]],[],[[]],[[]]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[[[[]]],[],[[]],[[]]] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[[[],[]],[],[[],[]],[]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.]
[[[],[]],[],[[[]]],[]] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.]
[[[[]]],[],[[],[]],[]] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[[[[]]],[],[[[]]],[]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[[[],[]],[],[[],[],[]]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]]
[[[],[]],[],[[],[[]]]] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[[[],[]],[],[[[]],[]]] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]]
[[[],[]],[],[[[],[]]]] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]]
[[[],[]],[],[[[[]]]]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[[[[]]],[],[[],[],[]]] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[[[[]]],[],[[],[[]]]] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[[[[]]],[],[[[]],[]]] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[[[[]]],[],[[[],[]]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[[[[]]],[],[[[[]]]]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[[[],[]],[[]],[],[],[]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.]
[[[[]]],[[]],[],[],[]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[[[],[]],[[]],[],[[]]] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[[[[]]],[[]],[],[[]]] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[[[],[]],[[]],[[]],[]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[[[[]]],[[]],[[]],[]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[[[],[]],[[]],[[],[]]] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[[[],[]],[[]],[[[]]]] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[[[[]]],[[]],[[],[]]] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[[[[]]],[[]],[[[]]]] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[[],[]],[[],[]],[],[]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.]
[[[],[]],[[[]]],[],[]] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[[[[]]],[[],[]],[],[]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[[[[]]],[[[]]],[],[]] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[[[],[]],[[],[]],[[]]] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[[[],[]],[[[]]],[[]]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[[[[]]],[[],[]],[[]]] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[[[[]]],[[[]]],[[]]] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[[],[]],[[],[],[]],[]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.]
[[[],[]],[[],[[]]],[]] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[[[],[]],[[[]],[]],[]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[[[],[]],[[[],[]]],[]] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[[[],[]],[[[[]]]],[]] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[[[[]]],[[],[],[]],[]] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[[[[]]],[[],[[]]],[]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[[[[]]],[[[]],[]],[]] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[[[[]]],[[[],[]]],[]] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[[[[]]],[[[[]]]],[]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[[[],[]],[[],[],[],[]]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]]
[[[],[]],[[],[],[[]]]] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[[],[]],[[],[[]],[]]] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[[[],[]],[[],[[],[]]]] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[[[],[]],[[],[[[]]]]] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[[],[]],[[[]],[],[]]] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]]
[[[],[]],[[[]],[[]]]] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[[[],[]],[[[],[]],[]]] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[[[],[]],[[[[]]],[]]] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[[[],[]],[[[],[],[]]]] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[[[],[]],[[[],[[]]]]] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[[[],[]],[[[[]],[]]]] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[[[],[]],[[[[],[]]]]] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[[[],[]],[[[[[]]]]]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[[[]]],[[],[],[],[]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[[[[]]],[[],[],[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[[[[]]],[[],[[]],[]]] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[[[[]]],[[],[[],[]]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[[[]]],[[],[[[]]]]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[[[]]],[[[]],[],[]]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]
[[[[]]],[[[]],[[]]]] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[[[]]],[[[],[]],[]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[[[[]]],[[[[]]],[]]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[[[[]]],[[[],[],[]]]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[[[[]]],[[[],[[]]]]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[[[]]],[[[[]],[]]]] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[[[[]]],[[[[],[]]]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[[[[]]],[[[[[]]]]]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[[],[],[]],[],[],[],[]] => [[[[[.,[[[.,.],.],.]],.],.],.],.]
[[[],[[]]],[],[],[],[]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.]
[[[[]],[]],[],[],[],[]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.]
[[[[],[]]],[],[],[],[]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.]
[[[[[]]]],[],[],[],[]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[[[],[],[]],[],[],[[]]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]]
[[[],[[]]],[],[],[[]]] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]]
[[[[]],[]],[],[],[[]]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]]
[[[[],[]]],[],[],[[]]] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]]
[[[[[]]]],[],[],[[]]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[[[],[],[]],[],[[]],[]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.]
[[[],[[]]],[],[[]],[]] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[[[[]],[]],[],[[]],[]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.]
[[[[],[]]],[],[[]],[]] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.]
[[[[[]]]],[],[[]],[]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[[[],[],[]],[],[[],[]]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]]
[[[],[],[]],[],[[[]]]] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]]
[[[],[[]]],[],[[],[]]] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[[[],[[]]],[],[[[]]]] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[[[[]],[]],[],[[],[]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]]
[[[[]],[]],[],[[[]]]] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]]
[[[[],[]]],[],[[],[]]] => [[[.,[.,[[.,.],.]]],.],[[.,.],.]]
[[[[],[]]],[],[[[]]]] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]]
[[[[[]]]],[],[[],[]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[[[[[]]]],[],[[[]]]] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[[[],[],[]],[[]],[],[]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.]
[[[],[[]]],[[]],[],[]] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[[[[]],[]],[[]],[],[]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.]
[[[[],[]]],[[]],[],[]] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.]
[[[[[]]]],[[]],[],[]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[[[],[],[]],[[]],[[]]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[[[],[[]]],[[]],[[]]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[[[[]],[]],[[]],[[]]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]
[[[[],[]]],[[]],[[]]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]
[[[[[]]]],[[]],[[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[[[],[],[]],[[],[]],[]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.]
[[[],[],[]],[[[]]],[]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[[[],[[]]],[[],[]],[]] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[[[],[[]]],[[[]]],[]] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[[[[]],[]],[[],[]],[]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[[[[]],[]],[[[]]],[]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[[[[],[]]],[[],[]],[]] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[[[[],[]]],[[[]]],[]] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[[[[[]]]],[[],[]],[]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[[[[[]]]],[[[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[[[],[],[]],[[],[],[]]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]]
[[[],[],[]],[[],[[]]]] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[[[],[],[]],[[[]],[]]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[[[],[],[]],[[[],[]]]] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[[[],[],[]],[[[[]]]]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[[[],[[]]],[[],[],[]]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[[[],[[]]],[[],[[]]]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[[],[[]]],[[[]],[]]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[[[],[[]]],[[[],[]]]] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[[[],[[]]],[[[[]]]]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[[[[]],[]],[[],[],[]]] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[[[[]],[]],[[],[[]]]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[[[[]],[]],[[[]],[]]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[[[[]],[]],[[[],[]]]] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[[[[]],[]],[[[[]]]]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[[[[],[]]],[[],[],[]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[[[[],[]]],[[],[[]]]] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[[[[],[]]],[[[]],[]]] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[[[[],[]]],[[[],[]]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[[[[],[]]],[[[[]]]]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[[[[[]]]],[[],[],[]]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[[[[[]]]],[[],[[]]]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[[[[]]]],[[[]],[]]] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[[[[[]]]],[[[],[]]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[[[[[]]]],[[[[]]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[[],[],[],[]],[],[],[]] => [[[[.,[[[[.,.],.],.],.]],.],.],.]
[[[],[],[[]]],[],[],[]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.]
[[[],[[]],[]],[],[],[]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.]
[[[],[[],[]]],[],[],[]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.]
[[[],[[[]]]],[],[],[]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[[[[]],[],[]],[],[],[]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.]
[[[[]],[[]]],[],[],[]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[[[[],[]],[]],[],[],[]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.]
[[[[[]]],[]],[],[],[]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.]
[[[[],[],[]]],[],[],[]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.]
[[[[],[[]]]],[],[],[]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.]
[[[[[]],[]]],[],[],[]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.]
[[[[[],[]]]],[],[],[]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.]
[[[[[[]]]]],[],[],[]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[[[],[],[],[]],[],[[]]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]]
[[[],[],[[]]],[],[[]]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[[[],[[]],[]],[],[[]]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]]
[[[],[[],[]]],[],[[]]] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]]
[[[],[[[]]]],[],[[]]] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]]
[[[[]],[],[]],[],[[]]] => [[[.,[[[.,[.,.]],.],.]],.],[.,.]]
[[[[]],[[]]],[],[[]]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[[[[],[]],[]],[],[[]]] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]]
[[[[[]]],[]],[],[[]]] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]]
[[[[],[],[]]],[],[[]]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]]
[[[[],[[]]]],[],[[]]] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]]
[[[[[]],[]]],[],[[]]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]]
[[[[[],[]]]],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]]
[[[[[[]]]]],[],[[]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[[[],[],[],[]],[[]],[]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.]
[[[],[],[[]]],[[]],[]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[[[],[[]],[]],[[]],[]] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.]
[[[],[[],[]]],[[]],[]] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[[[],[[[]]]],[[]],[]] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[[[[]],[],[]],[[]],[]] => [[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[[[[]],[[]]],[[]],[]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[[[[],[]],[]],[[]],[]] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[[[[[]]],[]],[[]],[]] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[[[[],[],[]]],[[]],[]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.]
[[[[],[[]]]],[[]],[]] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[[[[[]],[]]],[[]],[]] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[[[[[],[]]]],[[]],[]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[[[[[[]]]]],[[]],[]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[[[],[],[],[]],[[],[]]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]]
[[[],[],[],[]],[[[]]]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[[[],[],[[]]],[[],[]]] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[[[],[],[[]]],[[[]]]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[[[],[[]],[]],[[],[]]] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]]
[[[],[[]],[]],[[[]]]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]
[[[],[[],[]]],[[],[]]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[[[],[[],[]]],[[[]]]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]
[[[],[[[]]]],[[],[]]] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[[[],[[[]]]],[[[]]]] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[[[[]],[],[]],[[],[]]] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]]
[[[[]],[],[]],[[[]]]] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]]
[[[[]],[[]]],[[],[]]] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[[[[]],[[]]],[[[]]]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[[[[],[]],[]],[[],[]]] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]]
[[[[],[]],[]],[[[]]]] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]
[[[[[]]],[]],[[],[]]] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[[[[[]]],[]],[[[]]]] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]
[[[[],[],[]]],[[],[]]] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]]
[[[[],[],[]]],[[[]]]] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]
[[[[],[[]]]],[[],[]]] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[[[[],[[]]]],[[[]]]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[[[[[]],[]]],[[],[]]] => [[.,[.,[[.,[.,.]],.]]],[[.,.],.]]
[[[[[]],[]]],[[[]]]] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]
[[[[[],[]]]],[[],[]]] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[[[[[],[]]]],[[[]]]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[[[[[]]]]],[[],[]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[[[[[]]]]],[[[]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[[],[],[],[],[]],[],[]] => [[[.,[[[[[.,.],.],.],.],.]],.],.]
[[[],[],[],[[]]],[],[]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.]
[[[],[],[[]],[]],[],[]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.]
[[[],[],[[],[]]],[],[]] => [[[.,[[[.,.],.],[[.,.],.]]],.],.]
[[[],[],[[[]]]],[],[]] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[[[],[[]],[],[]],[],[]] => [[[.,[[[[.,.],[.,.]],.],.]],.],.]
[[[],[[]],[[]]],[],[]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.]
[[[],[[],[]],[]],[],[]] => [[[.,[[[.,.],[[.,.],.]],.]],.],.]
[[[],[[[]]],[]],[],[]] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.]
[[[],[[],[],[]]],[],[]] => [[[.,[[.,.],[[[.,.],.],.]]],.],.]
[[[],[[],[[]]]],[],[]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[[[],[[[]],[]]],[],[]] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[[[],[[[],[]]]],[],[]] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.]
[[[],[[[[]]]]],[],[]] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[[[[]],[],[],[]],[],[]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.]
[[[[]],[],[[]]],[],[]] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.]
[[[[]],[[]],[]],[],[]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[[[[]],[[],[]]],[],[]] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[[[[]],[[[]]]],[],[]] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[[[[],[]],[],[]],[],[]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.]
[[[[[]]],[],[]],[],[]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.]
[[[[],[]],[[]]],[],[]] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[[[[[]]],[[]]],[],[]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[[[[],[],[]],[]],[],[]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.]
[[[[],[[]]],[]],[],[]] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[[[[[]],[]],[]],[],[]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[[[[[],[]]],[]],[],[]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[[[[[[]]]],[]],[],[]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[[[[],[],[],[]]],[],[]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.]
[[[[],[],[[]]]],[],[]] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.]
[[[[],[[]],[]]],[],[]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.]
[[[[],[[],[]]]],[],[]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[[[[],[[[]]]]],[],[]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[[[[[]],[],[]]],[],[]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.]
[[[[[]],[[]]]],[],[]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[[[[[],[]],[]]],[],[]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.]
[[[[[[]]],[]]],[],[]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[[[[[],[],[]]]],[],[]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.]
[[[[[],[[]]]]],[],[]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[[[[[[]],[]]]],[],[]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[[[[[[],[]]]]],[],[]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[[[[[[[]]]]]],[],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[[[],[],[],[],[]],[[]]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]]
[[[],[],[],[[]]],[[]]] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]]
[[[],[],[[]],[]],[[]]] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]]
[[[],[],[[],[]]],[[]]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[[[],[],[[[]]]],[[]]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[[[],[[]],[],[]],[[]]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]]
[[[],[[]],[[]]],[[]]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[[[],[[],[]],[]],[[]]] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]]
[[[],[[[]]],[]],[[]]] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[[[],[[],[],[]]],[[]]] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]]
[[[],[[],[[]]]],[[]]] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[[[],[[[]],[]]],[[]]] => [[.,[[.,.],[[.,[.,.]],.]]],[.,.]]
[[[],[[[],[]]]],[[]]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]]
[[[],[[[[]]]]],[[]]] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[[[[]],[],[],[]],[[]]] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]]
[[[[]],[],[[]]],[[]]] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[[[[]],[[]],[]],[[]]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]]
[[[[]],[[],[]]],[[]]] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[[[[]],[[[]]]],[[]]] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[[[[],[]],[],[]],[[]]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]]
[[[[[]]],[],[]],[[]]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]]
[[[[],[]],[[]]],[[]]] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]]
[[[[[]]],[[]]],[[]]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[[[[],[],[]],[]],[[]]] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]]
[[[[],[[]]],[]],[[]]] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]]
[[[[[]],[]],[]],[[]]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]]
[[[[[],[]]],[]],[[]]] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]]
[[[[[[]]]],[]],[[]]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]
[[[[],[],[],[]]],[[]]] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[[[[],[],[[]]]],[[]]] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[[[[],[[]],[]]],[[]]] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]]
[[[[],[[],[]]]],[[]]] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]
[[[[],[[[]]]]],[[]]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[[[[[]],[],[]]],[[]]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]]
[[[[[]],[[]]]],[[]]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[[[[[],[]],[]]],[[]]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]
[[[[[[]]],[]]],[[]]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]
[[[[[],[],[]]]],[[]]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[[[[[],[[]]]]],[[]]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[[[[[]],[]]]],[[]]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]
[[[[[[],[]]]]],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[[[[[[[]]]]]],[[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[[],[],[],[],[],[]],[]] => [[.,[[[[[[.,.],.],.],.],.],.]],.]
[[[],[],[],[],[[]]],[]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.]
[[[],[],[],[[]],[]],[]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.]
[[[],[],[],[[],[]]],[]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.]
[[[],[],[],[[[]]]],[]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[[[],[],[[]],[],[]],[]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.]
[[[],[],[[]],[[]]],[]] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[[[],[],[[],[]],[]],[]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.]
[[[],[],[[[]]],[]],[]] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.]
[[[],[],[[],[],[]]],[]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.]
[[[],[],[[],[[]]]],[]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[[[],[],[[[]],[]]],[]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.]
[[[],[],[[[],[]]]],[]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[[[],[],[[[[]]]]],[]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[[],[[]],[],[],[]],[]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.]
[[[],[[]],[],[[]]],[]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[[[],[[]],[[]],[]],[]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.]
[[[],[[]],[[],[]]],[]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[[[],[[]],[[[]]]],[]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[[[],[[],[]],[],[]],[]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.]
[[[],[[[]]],[],[]],[]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.]
[[[],[[],[]],[[]]],[]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[[[],[[[]]],[[]]],[]] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[[[],[[],[],[]],[]],[]] => [[.,[[[.,.],[[[.,.],.],.]],.]],.]
[[[],[[],[[]]],[]],[]] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[[[],[[[]],[]],[]],[]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[[[],[[[],[]]],[]],[]] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.]
[[[],[[[[]]]],[]],[]] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[[[],[[],[],[],[]]],[]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.]
[[[],[[],[],[[]]]],[]] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[[[],[[],[[]],[]]],[]] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[[[],[[],[[],[]]]],[]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[[[],[[],[[[]]]]],[]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[[[],[[[]],[],[]]],[]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.]
[[[],[[[]],[[]]]],[]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[[[],[[[],[]],[]]],[]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[[[],[[[[]]],[]]],[]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[[[],[[[],[],[]]]],[]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.]
[[[],[[[],[[]]]]],[]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[[[],[[[[]],[]]]],[]] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[[[],[[[[],[]]]]],[]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[[[],[[[[[]]]]]],[]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[[[[]],[],[],[],[]],[]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.]
[[[[]],[],[],[[]]],[]] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.]
[[[[]],[],[[]],[]],[]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.]
[[[[]],[],[[],[]]],[]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[[[[]],[],[[[]]]],[]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[[[[]],[[]],[],[]],[]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[[[[]],[[]],[[]]],[]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[[[[]],[[],[]],[]],[]] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[[[[]],[[[]]],[]],[]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[[[[]],[[],[],[]]],[]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[[[[]],[[],[[]]]],[]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[[[[]],[[[]],[]]],[]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[[[[]],[[[],[]]]],[]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[[[[]],[[[[]]]]],[]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[[[[],[]],[],[],[]],[]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.]
[[[[[]]],[],[],[]],[]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[[[[],[]],[],[[]]],[]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.]
[[[[[]]],[],[[]]],[]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[[[[],[]],[[]],[]],[]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.]
[[[[[]]],[[]],[]],[]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[[[[],[]],[[],[]]],[]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[[[[],[]],[[[]]]],[]] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[[[[[]]],[[],[]]],[]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[[[[[]]],[[[]]]],[]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[[[[],[],[]],[],[]],[]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.]
[[[[],[[]]],[],[]],[]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.]
[[[[[]],[]],[],[]],[]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.]
[[[[[],[]]],[],[]],[]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.]
[[[[[[]]]],[],[]],[]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[[[[],[],[]],[[]]],[]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.]
[[[[],[[]]],[[]]],[]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[[[[[]],[]],[[]]],[]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[[[[[],[]]],[[]]],[]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[[[[[[]]]],[[]]],[]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[[[[],[],[],[]],[]],[]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.]
[[[[],[],[[]]],[]],[]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.]
[[[[],[[]],[]],[]],[]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.]
[[[[],[[],[]]],[]],[]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[[[[],[[[]]]],[]],[]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[[[[[]],[],[]],[]],[]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.]
[[[[[]],[[]]],[]],[]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[[[[[],[]],[]],[]],[]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[[[[[[]]],[]],[]],[]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[[[[[],[],[]]],[]],[]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.]
[[[[[],[[]]]],[]],[]] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[[[[[[]],[]]],[]],[]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[[[[[[],[]]]],[]],[]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[[[[[[[]]]]],[]],[]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[[[[],[],[],[],[]]],[]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.]
[[[[],[],[],[[]]]],[]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.]
[[[[],[],[[]],[]]],[]] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.]
[[[[],[],[[],[]]]],[]] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[[[[],[],[[[]]]]],[]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[[[[],[[]],[],[]]],[]] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.]
[[[[],[[]],[[]]]],[]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[[[[],[[],[]],[]]],[]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[[[[],[[[]]],[]]],[]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[[[[],[[],[],[]]]],[]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.]
[[[[],[[],[[]]]]],[]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[[[[],[[[]],[]]]],[]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[[[[],[[[],[]]]]],[]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.]
[[[[],[[[[]]]]]],[]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[[[[[]],[],[],[]]],[]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.]
[[[[[]],[],[[]]]],[]] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.]
[[[[[]],[[]],[]]],[]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.]
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[[[[],[[],[]]],[[],[]]],[]] => [[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]
[[[[[],[]],[]],[[],[]]],[]] => [[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]
[[[[],[[],[[],[]]]],[]],[]] => [[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]
[[[[],[[[],[]],[]]],[]],[]] => [[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]
[[[[[],[]],[[],[]]],[]],[]] => [[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.]
[[[[[],[[],[]]],[]],[]],[]] => [[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]
[[[[[[],[]],[]],[]],[]],[]] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]
[[],[[],[[],[[],[[],[[],[]]]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[[],[[],[[],[[],[[[],[]],[]]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]]
[[],[[],[[],[[[],[]],[[],[]]]]]] => [[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]]
[[],[[],[[],[[[],[[],[]]],[]]]]] => [[.,.],[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]]
[[],[[],[[],[[[[],[]],[]],[]]]]] => [[.,.],[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]]
[[],[[],[[[],[]],[[],[[],[]]]]]] => [[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]]
[[],[[],[[[],[]],[[[],[]],[]]]]] => [[.,.],[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]]
[[],[[],[[[],[[],[]]],[[],[]]]]] => [[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]]
[[],[[],[[[[],[]],[]],[[],[]]]]] => [[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]]
[[],[[],[[[],[[],[[],[]]]],[]]]] => [[.,.],[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]]
[[],[[],[[[],[[[],[]],[]]],[]]]] => [[.,.],[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]]
[[],[[],[[[[],[]],[[],[]]],[]]]] => [[.,.],[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]]
[[],[[],[[[[],[[],[]]],[]],[]]]] => [[.,.],[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]]
[[],[[],[[[[[],[]],[]],[]],[]]]] => [[.,.],[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]]
[[],[[[],[]],[[],[[],[[],[]]]]]] => [[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]]
[[],[[[],[]],[[],[[[],[]],[]]]]] => [[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]]
[[],[[[],[]],[[[],[]],[[],[]]]]] => [[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]]
[[],[[[],[]],[[[],[[],[]]],[]]]] => [[.,.],[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]]
[[],[[[],[]],[[[[],[]],[]],[]]]] => [[.,.],[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]]
[[],[[[],[[],[]]],[[],[[],[]]]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]]
[[],[[[],[[],[]]],[[[],[]],[]]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]]
[[],[[[[],[]],[]],[[],[[],[]]]]] => [[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]]]
[[],[[[[],[]],[]],[[[],[]],[]]]] => [[.,.],[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]]
[[],[[[],[[],[[],[]]]],[[],[]]]] => [[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]]
[[],[[[],[[[],[]],[]]],[[],[]]]] => [[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]]
[[],[[[[],[]],[[],[]]],[[],[]]]] => [[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]]
[[],[[[[],[[],[]]],[]],[[],[]]]] => [[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]]
[[],[[[[[],[]],[]],[]],[[],[]]]] => [[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]]
[[],[[[],[[],[[],[[],[]]]]],[]]] => [[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]]
[[],[[[],[[],[[[],[]],[]]]],[]]] => [[.,.],[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]]
[[],[[[],[[[],[]],[[],[]]]],[]]] => [[.,.],[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]]
[[],[[[],[[[],[[],[]]],[]]],[]]] => [[.,.],[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]]
[[],[[[],[[[[],[]],[]],[]]],[]]] => [[.,.],[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]]
[[],[[[[],[]],[[],[[],[]]]],[]]] => [[.,.],[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.]]
[[],[[[[],[]],[[[],[]],[]]],[]]] => [[.,.],[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.]]
[[],[[[[],[[],[]]],[[],[]]],[]]] => [[.,.],[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]]
[[],[[[[[],[]],[]],[[],[]]],[]]] => [[.,.],[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]]
[[],[[[[],[[],[[],[]]]],[]],[]]] => [[.,.],[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]]
[[],[[[[],[[[],[]],[]]],[]],[]]] => [[.,.],[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]]
[[],[[[[[],[]],[[],[]]],[]],[]]] => [[.,.],[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.]]
[[],[[[[[],[[],[]]],[]],[]],[]]] => [[.,.],[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]]
[[],[[[[[[],[]],[]],[]],[]],[]]] => [[.,.],[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]]
[[[],[]],[[],[[],[[],[[],[]]]]]] => [[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[[[],[]],[[],[[],[[[],[]],[]]]]] => [[.,[[.,.],.]],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]
[[[],[]],[[],[[[],[]],[[],[]]]]] => [[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]
[[[],[]],[[],[[[],[[],[]]],[]]]] => [[.,[[.,.],.]],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]
[[[],[]],[[],[[[[],[]],[]],[]]]] => [[.,[[.,.],.]],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]
[[[],[]],[[[],[]],[[],[[],[]]]]] => [[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]
[[[],[]],[[[],[]],[[[],[]],[]]]] => [[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]
[[[],[]],[[[],[[],[]]],[[],[]]]] => [[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]
[[[],[]],[[[[],[]],[]],[[],[]]]] => [[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]
[[[],[]],[[[],[[],[[],[]]]],[]]] => [[.,[[.,.],.]],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]
[[[],[]],[[[],[[[],[]],[]]],[]]] => [[.,[[.,.],.]],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]
[[[],[]],[[[[],[]],[[],[]]],[]]] => [[.,[[.,.],.]],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]
[[[],[]],[[[[],[[],[]]],[]],[]]] => [[.,[[.,.],.]],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]
[[[],[]],[[[[[],[]],[]],[]],[]]] => [[.,[[.,.],.]],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]
[[[],[[],[]]],[[],[[],[[],[]]]]] => [[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],[[.,.],.]]]]
[[[],[[],[]]],[[],[[[],[]],[]]]] => [[.,[[.,.],[[.,.],.]]],[[.,.],[[.,[[.,.],.]],.]]]
[[[],[[],[]]],[[[],[]],[[],[]]]] => [[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],[[.,.],.]]]
[[[],[[],[]]],[[[],[[],[]]],[]]] => [[.,[[.,.],[[.,.],.]]],[[.,[[.,.],[[.,.],.]]],.]]
[[[],[[],[]]],[[[[],[]],[]],[]]] => [[.,[[.,.],[[.,.],.]]],[[.,[[.,[[.,.],.]],.]],.]]
[[[[],[]],[]],[[],[[],[[],[]]]]] => [[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],[[.,.],.]]]]
[[[[],[]],[]],[[],[[[],[]],[]]]] => [[.,[[.,[[.,.],.]],.]],[[.,.],[[.,[[.,.],.]],.]]]
[[[[],[]],[]],[[[],[]],[[],[]]]] => [[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],[[.,.],.]]]
[[[[],[]],[]],[[[],[[],[]]],[]]] => [[.,[[.,[[.,.],.]],.]],[[.,[[.,.],[[.,.],.]]],.]]
[[[[],[]],[]],[[[[],[]],[]],[]]] => [[.,[[.,[[.,.],.]],.]],[[.,[[.,[[.,.],.]],.]],.]]
[[[],[[],[[],[]]]],[[],[[],[]]]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],[[.,.],.]]]
[[[],[[],[[],[]]]],[[[],[]],[]]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,[[.,.],.]],.]]
[[[],[[[],[]],[]]],[[],[[],[]]]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],[[.,.],.]]]
[[[],[[[],[]],[]]],[[[],[]],[]]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,[[.,.],.]],.]]
[[[[],[]],[[],[]]],[[],[[],[]]]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],[[.,.],.]]]
[[[[],[]],[[],[]]],[[[],[]],[]]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,[[.,.],.]],.]]
[[[[],[[],[]]],[]],[[],[[],[]]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],[[.,.],.]]]
[[[[],[[],[]]],[]],[[[],[]],[]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,[[.,.],.]],.]]
[[[[[],[]],[]],[]],[[],[[],[]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],[[.,.],.]]]
[[[[[],[]],[]],[]],[[[],[]],[]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,[[.,.],.]],.]]
[[[],[[],[[],[[],[]]]]],[[],[]]] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[[.,.],.]]
[[[],[[],[[[],[]],[]]]],[[],[]]] => [[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],[[.,.],.]]
[[[],[[[],[]],[[],[]]]],[[],[]]] => [[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],[[.,.],.]]
[[[],[[[],[[],[]]],[]]],[[],[]]] => [[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],[[.,.],.]]
[[[],[[[[],[]],[]],[]]],[[],[]]] => [[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],[[.,.],.]]
[[[[],[]],[[],[[],[]]]],[[],[]]] => [[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],[[.,.],.]]
[[[[],[]],[[[],[]],[]]],[[],[]]] => [[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],[[.,.],.]]
[[[[],[[],[]]],[[],[]]],[[],[]]] => [[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],[[.,.],.]]
[[[[[],[]],[]],[[],[]]],[[],[]]] => [[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],[[.,.],.]]
[[[[],[[],[[],[]]]],[]],[[],[]]] => [[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],[[.,.],.]]
[[[[],[[[],[]],[]]],[]],[[],[]]] => [[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],[[.,.],.]]
[[[[[],[]],[[],[]]],[]],[[],[]]] => [[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],[[.,.],.]]
[[[[[],[[],[]]],[]],[]],[[],[]]] => [[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],[[.,.],.]]
[[[[[[],[]],[]],[]],[]],[[],[]]] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],[[.,.],.]]
[[[],[[],[[],[[],[[],[]]]]]],[]] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.]
[[[],[[],[[],[[[],[]],[]]]]],[]] => [[.,[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]],.]
[[[],[[],[[[],[]],[[],[]]]]],[]] => [[.,[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]],.]
[[[],[[],[[[],[[],[]]],[]]]],[]] => [[.,[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]],.]
[[[],[[],[[[[],[]],[]],[]]]],[]] => [[.,[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]],.]
[[[],[[[],[]],[[],[[],[]]]]],[]] => [[.,[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]],.]
[[[],[[[],[]],[[[],[]],[]]]],[]] => [[.,[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]],.]
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[[[],[[[],[[],[[],[]]]],[]]],[]] => [[.,[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]],.]
[[[],[[[],[[[],[]],[]]],[]]],[]] => [[.,[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]],.]
[[[],[[[[],[]],[[],[]]],[]]],[]] => [[.,[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]],.]
[[[],[[[[],[[],[]]],[]],[]]],[]] => [[.,[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]],.]
[[[],[[[[[],[]],[]],[]],[]]],[]] => [[.,[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]],.]
[[[[],[]],[[],[[],[[],[]]]]],[]] => [[.,[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]],.]
[[[[],[]],[[],[[[],[]],[]]]],[]] => [[.,[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]],.]
[[[[],[]],[[[],[]],[[],[]]]],[]] => [[.,[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]],.]
[[[[],[]],[[[],[[],[]]],[]]],[]] => [[.,[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]],.]
[[[[],[]],[[[[],[]],[]],[]]],[]] => [[.,[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]],.]
[[[[],[[],[]]],[[],[[],[]]]],[]] => [[.,[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]],.]
[[[[],[[],[]]],[[[],[]],[]]],[]] => [[.,[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]],.]
[[[[[],[]],[]],[[],[[],[]]]],[]] => [[.,[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]]],.]
[[[[[],[]],[]],[[[],[]],[]]],[]] => [[.,[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]],.]
[[[[],[[],[[],[]]]],[[],[]]],[]] => [[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]],.]
[[[[],[[[],[]],[]]],[[],[]]],[]] => [[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]],.]
[[[[[],[]],[[],[]]],[[],[]]],[]] => [[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]],.]
[[[[[],[[],[]]],[]],[[],[]]],[]] => [[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]],.]
[[[[[[],[]],[]],[]],[[],[]]],[]] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]],.]
[[[[],[[],[[],[[],[]]]]],[]],[]] => [[.,[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]],.]
[[[[],[[],[[[],[]],[]]]],[]],[]] => [[.,[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]],.]
[[[[],[[[],[]],[[],[]]]],[]],[]] => [[.,[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]],.]
[[[[],[[[],[[],[]]],[]]],[]],[]] => [[.,[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]],.]
[[[[],[[[[],[]],[]],[]]],[]],[]] => [[.,[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]],.]
[[[[[],[]],[[],[[],[]]]],[]],[]] => [[.,[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.]],.]
[[[[[],[]],[[[],[]],[]]],[]],[]] => [[.,[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.]],.]
[[[[[],[[],[]]],[[],[]]],[]],[]] => [[.,[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]],.]
[[[[[[],[]],[]],[[],[]]],[]],[]] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]],.]
[[[[[],[[],[[],[]]]],[]],[]],[]] => [[.,[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]],.]
[[[[[],[[[],[]],[]]],[]],[]],[]] => [[.,[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]],.]
[[[[[[],[]],[[],[]]],[]],[]],[]] => [[.,[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.]],.]
[[[[[[],[[],[]]],[]],[]],[]],[]] => [[.,[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]],.]
[[[[[[[],[]],[]],[]],[]],[]],[]] => [[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.]
Identities
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Inverses
Mp00049to binary tree: left brother = left child ∘ Mp00010to ordered tree: left child = left brother = id : Binary trees ⟶ Binary trees
Mp00010to ordered tree: left child = left brother ∘ Mp00049to binary tree: left brother = left child = id : Ordered trees ⟶ Ordered trees
Intertwining relations
Mp00018left border symmetry ∘ Mp00049to binary tree: left brother = left child = Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry : Ordered trees ⟶ Binary trees
Mp00048left-right symmetry ∘ Mp00008to complete tree ∘ Mp00049to binary tree: left brother = left child = Mp00008to complete tree ∘ Mp00050to binary tree: right brother = right child ∘ Mp00048left-right symmetry : Ordered trees ⟶ Ordered trees
Mp00048left-right symmetry ∘ Mp00008to complete tree ∘ Mp00050to binary tree: right brother = right child = Mp00008to complete tree ∘ Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry : Ordered trees ⟶ Ordered trees
Mp00048left-right symmetry ∘ Mp00015to ordered tree: right child = right brother ∘ Mp00049to binary tree: left brother = left child = Mp00328DeBruijn-Morselt plane tree automorphism ∘ Mp00048left-right symmetry : Ordered trees ⟶ Ordered trees
Mp00015to ordered tree: right child = right brother ∘ Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry = Mp00048left-right symmetry ∘ Mp00328DeBruijn-Morselt plane tree automorphism : Ordered trees ⟶ Ordered trees
Constant maps
Mp00071descent composition ∘ Mp00014to 132-avoiding permutation ∘ Mp00049to binary tree: left brother = left child ∘ Mp00008to complete tree = const : Binary trees ⟶ Integer compositions
Other relations
Mp00016left-right symmetry ∘ Mp00049to binary tree: left brother = left child = Mp00050to binary tree: right brother = right child ∘ Mp00048left-right symmetry : Ordered trees ⟶ Binary trees
Mp00016left-right symmetry ∘ Mp00050to binary tree: right brother = right child = Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry : Ordered trees ⟶ Binary trees
Mp00049to binary tree: left brother = left child ∘ Mp00026to ordered tree = Mp00029to binary tree: left tree, up step, right tree, down step : Dyck paths ⟶ Binary trees
Mp00049to binary tree: left brother = left child ∘ Mp00015to ordered tree: right child = right brother = Mp00018left border symmetry ∘ Mp00016left-right symmetry : Binary trees ⟶ Binary trees
Mp00031to 312-avoiding permutation ∘ Mp00051to Dyck path = Mp00017to 312-avoiding permutation ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Permutations
Mp00020to Tamari-corresponding Dyck path ∘ Mp00049to binary tree: left brother = left child = Mp00051to Dyck path : Ordered trees ⟶ Dyck paths
Mp00101decomposition reverse ∘ Mp00051to Dyck path ∘ Mp00048left-right symmetry = Mp00012to Dyck path: up step, left tree, down step, right tree ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Dyck paths
Mp00029to binary tree: left tree, up step, right tree, down step ∘ Mp00051to Dyck path = Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Binary trees
Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry ∘ Mp00026to ordered tree = Mp00029to binary tree: left tree, up step, right tree, down step ∘ Mp00028reverse : Dyck paths ⟶ Binary trees
Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry ∘ Mp00015to ordered tree: right child = right brother = Mp00016left-right symmetry : Binary trees ⟶ Binary trees
Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry ∘ Mp00010to ordered tree: left child = left brother = Mp00018left border symmetry : Binary trees ⟶ Binary trees
Mp00069complement ∘ Mp00014to 132-avoiding permutation ∘ Mp00049to binary tree: left brother = left child = Mp00017to 312-avoiding permutation ∘ Mp00050to binary tree: right brother = right child ∘ Mp00048left-right symmetry : Ordered trees ⟶ Permutations
Mp00069complement ∘ Mp00014to 132-avoiding permutation ∘ Mp00050to binary tree: right brother = right child = Mp00017to 312-avoiding permutation ∘ Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry : Ordered trees ⟶ Permutations
Mp00064reverse ∘ Mp00014to 132-avoiding permutation ∘ Mp00050to binary tree: right brother = right child = Mp00066inverse ∘ Mp00017to 312-avoiding permutation ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Permutations
Mp00012to Dyck path: up step, left tree, down step, right tree ∘ Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry = Mp00101decomposition reverse ∘ Mp00051to Dyck path : Ordered trees ⟶ Dyck paths
Mp00028reverse ∘ Mp00012to Dyck path: up step, left tree, down step, right tree ∘ Mp00049to binary tree: left brother = left child = Mp00020to Tamari-corresponding Dyck path ∘ Mp00050to binary tree: right brother = right child ∘ Mp00048left-right symmetry : Ordered trees ⟶ Dyck paths
Mp00016left-right symmetry ∘ Mp00009left rotate ∘ Mp00050to binary tree: right brother = right child = Mp00019right rotate ∘ Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry : Ordered trees ⟶ Binary trees
Mp00016left-right symmetry ∘ Mp00009left rotate ∘ Mp00049to binary tree: left brother = left child = Mp00019right rotate ∘ Mp00050to binary tree: right brother = right child ∘ Mp00048left-right symmetry : Ordered trees ⟶ Binary trees
Mp00013to poset ∘ Mp00050to binary tree: right brother = right child ∘ Mp00048left-right symmetry = Mp00013to poset ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Posets
Mp00013to poset ∘ Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry = Mp00013to poset ∘ Mp00050to binary tree: right brother = right child : Ordered trees ⟶ Posets
Mp00011to graph ∘ Mp00050to binary tree: right brother = right child ∘ Mp00048left-right symmetry = Mp00011to graph ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Graphs
Mp00011to graph ∘ Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry = Mp00011to graph ∘ Mp00050to binary tree: right brother = right child : Ordered trees ⟶ Graphs
Mp00025to 132-avoiding permutation ∘ Mp00101decomposition reverse ∘ Mp00051to Dyck path = Mp00014to 132-avoiding permutation ∘ Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry : Ordered trees ⟶ Permutations
Mp00060Robinson-Schensted tableau shape ∘ Mp00014to 132-avoiding permutation ∘ Mp00050to binary tree: right brother = right child = Mp00204LLPS ∘ Mp00017to 312-avoiding permutation ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Integer partitions
Mp00102rise composition ∘ Mp00020to Tamari-corresponding Dyck path ∘ Mp00050to binary tree: right brother = right child = Mp00071descent composition ∘ Mp00017to 312-avoiding permutation ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Integer compositions
Mp00049to binary tree: left brother = left child ∘ Mp00328DeBruijn-Morselt plane tree automorphism = Mp00050to binary tree: right brother = right child : Ordered trees ⟶ Binary trees
Mp00065permutation poset ∘ Mp00023to non-crossing permutation ∘ Mp00051to Dyck path = Mp00065permutation poset ∘ Mp00017to 312-avoiding permutation ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Posets
Mp00048left-right symmetry ∘ Mp00328DeBruijn-Morselt plane tree automorphism ∘ Mp00048left-right symmetry = Mp00015to ordered tree: right child = right brother ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Ordered trees
Mp00114connectivity set ∘ Mp00023to non-crossing permutation ∘ Mp00051to Dyck path = Mp00114connectivity set ∘ Mp00017to 312-avoiding permutation ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Binary words
Mp00060Robinson-Schensted tableau shape ∘ Mp00023to non-crossing permutation ∘ Mp00051to Dyck path = Mp00060Robinson-Schensted tableau shape ∘ Mp00017to 312-avoiding permutation ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Integer partitions
Mp00204LLPS ∘ Mp00023to non-crossing permutation ∘ Mp00051to Dyck path = Mp00204LLPS ∘ Mp00017to 312-avoiding permutation ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Integer partitions
Mp00050to binary tree: right brother = right child ∘ Mp00048left-right symmetry ∘ Mp00328DeBruijn-Morselt plane tree automorphism = Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry : Ordered trees ⟶ Binary trees
Mp00049to binary tree: left brother = left child ∘ Mp00048left-right symmetry ∘ Mp00328DeBruijn-Morselt plane tree automorphism = Mp00018left border symmetry ∘ Mp00050to binary tree: right brother = right child : Ordered trees ⟶ Binary trees
Mp00047to poset ∘ Mp00328DeBruijn-Morselt plane tree automorphism ∘ Mp00048left-right symmetry = Mp00047to poset ∘ Mp00015to ordered tree: right child = right brother ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Posets
Mp00046to graph ∘ Mp00328DeBruijn-Morselt plane tree automorphism ∘ Mp00048left-right symmetry = Mp00046to graph ∘ Mp00015to ordered tree: right child = right brother ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Graphs
Mp00160graph of inversions ∘ Mp00023to non-crossing permutation ∘ Mp00051to Dyck path = Mp00160graph of inversions ∘ Mp00017to 312-avoiding permutation ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Graphs
Mp00208lattice of intervals ∘ Mp00014to 132-avoiding permutation ∘ Mp00050to binary tree: right brother = right child = Mp00208lattice of intervals ∘ Mp00017to 312-avoiding permutation ∘ Mp00049to binary tree: left brother = left child : Ordered trees ⟶ Lattices
Description
Return a binary tree of size $n-1$ (where $n$ is the size of $t$, and where $t$ is an ordered tree) by the following recursive rule:
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.
Properties
bijective, graded
Sage code
def mapping(elt):
return elt.to_binary_tree_left_branch()
Weight
26
Created
Jan 19, 2020 at 07:28 by FindStatCrew
Updated
Jan 19, 2020 at 07:28 by Martin Rubey
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