Identifier
-
Mp00015:
Binary trees
—to ordered tree: right child = right brother⟶
Ordered trees
Mp00246: Ordered trees —rotate⟶ Ordered trees
St000522: Ordered trees ⟶ ℤ
Values
[.,.] => [[]] => [[]] => 1
[.,[.,.]] => [[],[]] => [[],[]] => 1
[[.,.],.] => [[[]]] => [[[]]] => 1
[.,[.,[.,.]]] => [[],[],[]] => [[],[],[]] => 1
[.,[[.,.],.]] => [[],[[]]] => [[[]],[]] => 2
[[.,.],[.,.]] => [[[]],[]] => [[[],[]]] => 1
[[.,[.,.]],.] => [[[],[]]] => [[],[[]]] => 2
[[[.,.],.],.] => [[[[]]]] => [[[[]]]] => 1
[.,[.,[.,[.,.]]]] => [[],[],[],[]] => [[],[],[],[]] => 1
[.,[.,[[.,.],.]]] => [[],[],[[]]] => [[],[[]],[]] => 2
[.,[[.,.],[.,.]]] => [[],[[]],[]] => [[[]],[],[]] => 2
[.,[[.,[.,.]],.]] => [[],[[],[]]] => [[[],[]],[]] => 2
[.,[[[.,.],.],.]] => [[],[[[]]]] => [[[[]]],[]] => 2
[[.,.],[.,[.,.]]] => [[[]],[],[]] => [[[],[],[]]] => 1
[[.,.],[[.,.],.]] => [[[]],[[]]] => [[[[]],[]]] => 2
[[.,[.,.]],[.,.]] => [[[],[]],[]] => [[],[[],[]]] => 2
[[[.,.],.],[.,.]] => [[[[]]],[]] => [[[[],[]]]] => 1
[[.,[.,[.,.]]],.] => [[[],[],[]]] => [[],[],[[]]] => 2
[[.,[[.,.],.]],.] => [[[],[[]]]] => [[[]],[[]]] => 2
[[[.,.],[.,.]],.] => [[[[]],[]]] => [[[],[[]]]] => 2
[[[.,[.,.]],.],.] => [[[[],[]]]] => [[],[[[]]]] => 2
[[[[.,.],.],.],.] => [[[[[]]]]] => [[[[[]]]]] => 1
[.,[.,[.,[.,[.,.]]]]] => [[],[],[],[],[]] => [[],[],[],[],[]] => 1
[.,[.,[.,[[.,.],.]]]] => [[],[],[],[[]]] => [[],[],[[]],[]] => 2
[.,[.,[[.,.],[.,.]]]] => [[],[],[[]],[]] => [[],[[]],[],[]] => 2
[.,[.,[[.,[.,.]],.]]] => [[],[],[[],[]]] => [[],[[],[]],[]] => 2
[.,[.,[[[.,.],.],.]]] => [[],[],[[[]]]] => [[],[[[]]],[]] => 2
[.,[[.,.],[.,[.,.]]]] => [[],[[]],[],[]] => [[[]],[],[],[]] => 2
[.,[[.,.],[[.,.],.]]] => [[],[[]],[[]]] => [[[]],[[]],[]] => 3
[.,[[.,[.,.]],[.,.]]] => [[],[[],[]],[]] => [[[],[]],[],[]] => 2
[.,[[[.,.],.],[.,.]]] => [[],[[[]]],[]] => [[[[]]],[],[]] => 2
[.,[[.,[.,[.,.]]],.]] => [[],[[],[],[]]] => [[[],[],[]],[]] => 2
[.,[[.,[[.,.],.]],.]] => [[],[[],[[]]]] => [[[],[[]]],[]] => 3
[.,[[[.,.],[.,.]],.]] => [[],[[[]],[]]] => [[[[]],[]],[]] => 3
[.,[[[.,[.,.]],.],.]] => [[],[[[],[]]]] => [[[[],[]]],[]] => 2
[.,[[[[.,.],.],.],.]] => [[],[[[[]]]]] => [[[[[]]]],[]] => 2
[[.,.],[.,[.,[.,.]]]] => [[[]],[],[],[]] => [[[],[],[],[]]] => 1
[[.,.],[.,[[.,.],.]]] => [[[]],[],[[]]] => [[[],[[]],[]]] => 2
[[.,.],[[.,.],[.,.]]] => [[[]],[[]],[]] => [[[[]],[],[]]] => 2
[[.,.],[[.,[.,.]],.]] => [[[]],[[],[]]] => [[[[],[]],[]]] => 2
[[.,.],[[[.,.],.],.]] => [[[]],[[[]]]] => [[[[[]]],[]]] => 2
[[.,[.,.]],[.,[.,.]]] => [[[],[]],[],[]] => [[],[[],[],[]]] => 2
[[.,[.,.]],[[.,.],.]] => [[[],[]],[[]]] => [[],[[[]],[]]] => 3
[[[.,.],.],[.,[.,.]]] => [[[[]]],[],[]] => [[[[],[],[]]]] => 1
[[[.,.],.],[[.,.],.]] => [[[[]]],[[]]] => [[[[[]],[]]]] => 2
[[.,[.,[.,.]]],[.,.]] => [[[],[],[]],[]] => [[],[],[[],[]]] => 2
[[.,[[.,.],.]],[.,.]] => [[[],[[]]],[]] => [[[]],[[],[]]] => 2
[[[.,.],[.,.]],[.,.]] => [[[[]],[]],[]] => [[[],[[],[]]]] => 2
[[[.,[.,.]],.],[.,.]] => [[[[],[]]],[]] => [[],[[[],[]]]] => 2
[[[[.,.],.],.],[.,.]] => [[[[[]]]],[]] => [[[[[],[]]]]] => 1
[[.,[.,[.,[.,.]]]],.] => [[[],[],[],[]]] => [[],[],[],[[]]] => 2
[[.,[.,[[.,.],.]]],.] => [[[],[],[[]]]] => [[],[[]],[[]]] => 3
[[.,[[.,.],[.,.]]],.] => [[[],[[]],[]]] => [[[]],[],[[]]] => 3
[[.,[[.,[.,.]],.]],.] => [[[],[[],[]]]] => [[[],[]],[[]]] => 2
[[.,[[[.,.],.],.]],.] => [[[],[[[]]]]] => [[[[]]],[[]]] => 2
[[[.,.],[.,[.,.]]],.] => [[[[]],[],[]]] => [[[],[],[[]]]] => 2
[[[.,.],[[.,.],.]],.] => [[[[]],[[]]]] => [[[[]],[[]]]] => 2
[[[.,[.,.]],[.,.]],.] => [[[[],[]],[]]] => [[],[[],[[]]]] => 3
[[[[.,.],.],[.,.]],.] => [[[[[]]],[]]] => [[[[],[[]]]]] => 2
[[[.,[.,[.,.]]],.],.] => [[[[],[],[]]]] => [[],[],[[[]]]] => 2
[[[.,[[.,.],.]],.],.] => [[[[],[[]]]]] => [[[]],[[[]]]] => 2
[[[[.,.],[.,.]],.],.] => [[[[[]],[]]]] => [[[],[[[]]]]] => 2
[[[[.,[.,.]],.],.],.] => [[[[[],[]]]]] => [[],[[[[]]]]] => 2
[[[[[.,.],.],.],.],.] => [[[[[[]]]]]] => [[[[[[]]]]]] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => [[],[],[],[],[],[]] => [[],[],[],[],[],[]] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [[],[],[],[],[[]]] => [[],[],[],[[]],[]] => 2
[.,[.,[.,[[.,.],[.,.]]]]] => [[],[],[],[[]],[]] => [[],[],[[]],[],[]] => 2
[.,[.,[.,[[.,[.,.]],.]]]] => [[],[],[],[[],[]]] => [[],[],[[],[]],[]] => 2
[.,[.,[.,[[[.,.],.],.]]]] => [[],[],[],[[[]]]] => [[],[],[[[]]],[]] => 2
[.,[.,[[.,.],[.,[.,.]]]]] => [[],[],[[]],[],[]] => [[],[[]],[],[],[]] => 2
[.,[.,[[.,.],[[.,.],.]]]] => [[],[],[[]],[[]]] => [[],[[]],[[]],[]] => 3
[.,[.,[[.,[.,.]],[.,.]]]] => [[],[],[[],[]],[]] => [[],[[],[]],[],[]] => 2
[.,[.,[[[.,.],.],[.,.]]]] => [[],[],[[[]]],[]] => [[],[[[]]],[],[]] => 2
[.,[.,[[.,[.,[.,.]]],.]]] => [[],[],[[],[],[]]] => [[],[[],[],[]],[]] => 2
[.,[.,[[.,[[.,.],.]],.]]] => [[],[],[[],[[]]]] => [[],[[],[[]]],[]] => 3
[.,[.,[[[.,.],[.,.]],.]]] => [[],[],[[[]],[]]] => [[],[[[]],[]],[]] => 3
[.,[.,[[[.,[.,.]],.],.]]] => [[],[],[[[],[]]]] => [[],[[[],[]]],[]] => 2
[.,[.,[[[[.,.],.],.],.]]] => [[],[],[[[[]]]]] => [[],[[[[]]]],[]] => 2
[.,[[.,.],[.,[.,[.,.]]]]] => [[],[[]],[],[],[]] => [[[]],[],[],[],[]] => 2
[.,[[.,.],[.,[[.,.],.]]]] => [[],[[]],[],[[]]] => [[[]],[],[[]],[]] => 3
[.,[[.,.],[[.,.],[.,.]]]] => [[],[[]],[[]],[]] => [[[]],[[]],[],[]] => 3
[.,[[.,.],[[.,[.,.]],.]]] => [[],[[]],[[],[]]] => [[[]],[[],[]],[]] => 3
[.,[[.,.],[[[.,.],.],.]]] => [[],[[]],[[[]]]] => [[[]],[[[]]],[]] => 3
[.,[[.,[.,.]],[.,[.,.]]]] => [[],[[],[]],[],[]] => [[[],[]],[],[],[]] => 2
[.,[[.,[.,.]],[[.,.],.]]] => [[],[[],[]],[[]]] => [[[],[]],[[]],[]] => 3
[.,[[[.,.],.],[.,[.,.]]]] => [[],[[[]]],[],[]] => [[[[]]],[],[],[]] => 2
[.,[[[.,.],.],[[.,.],.]]] => [[],[[[]]],[[]]] => [[[[]]],[[]],[]] => 3
[.,[[.,[.,[.,.]]],[.,.]]] => [[],[[],[],[]],[]] => [[[],[],[]],[],[]] => 2
[.,[[.,[[.,.],.]],[.,.]]] => [[],[[],[[]]],[]] => [[[],[[]]],[],[]] => 3
[.,[[[.,.],[.,.]],[.,.]]] => [[],[[[]],[]],[]] => [[[[]],[]],[],[]] => 3
[.,[[[.,[.,.]],.],[.,.]]] => [[],[[[],[]]],[]] => [[[[],[]]],[],[]] => 2
[.,[[[[.,.],.],.],[.,.]]] => [[],[[[[]]]],[]] => [[[[[]]]],[],[]] => 2
[.,[[.,[.,[.,[.,.]]]],.]] => [[],[[],[],[],[]]] => [[[],[],[],[]],[]] => 2
[.,[[.,[.,[[.,.],.]]],.]] => [[],[[],[],[[]]]] => [[[],[],[[]]],[]] => 3
[.,[[.,[[.,.],[.,.]]],.]] => [[],[[],[[]],[]]] => [[[],[[]],[]],[]] => 3
[.,[[.,[[.,[.,.]],.]],.]] => [[],[[],[[],[]]]] => [[[],[[],[]]],[]] => 3
[.,[[.,[[[.,.],.],.]],.]] => [[],[[],[[[]]]]] => [[[],[[[]]]],[]] => 3
[.,[[[.,.],[.,[.,.]]],.]] => [[],[[[]],[],[]]] => [[[[]],[],[]],[]] => 3
[.,[[[.,.],[[.,.],.]],.]] => [[],[[[]],[[]]]] => [[[[]],[[]]],[]] => 3
[.,[[[.,[.,.]],[.,.]],.]] => [[],[[[],[]],[]]] => [[[[],[]],[]],[]] => 3
[.,[[[[.,.],.],[.,.]],.]] => [[],[[[[]]],[]]] => [[[[[]]],[]],[]] => 3
>>> Load all 1200 entries. <<<[.,[[[.,[.,[.,.]]],.],.]] => [[],[[[],[],[]]]] => [[[[],[],[]]],[]] => 2
[.,[[[.,[[.,.],.]],.],.]] => [[],[[[],[[]]]]] => [[[[],[[]]]],[]] => 3
[.,[[[[.,.],[.,.]],.],.]] => [[],[[[[]],[]]]] => [[[[[]],[]]],[]] => 3
[.,[[[[.,[.,.]],.],.],.]] => [[],[[[[],[]]]]] => [[[[[],[]]]],[]] => 2
[.,[[[[[.,.],.],.],.],.]] => [[],[[[[[]]]]]] => [[[[[[]]]]],[]] => 2
[[.,.],[.,[.,[.,[.,.]]]]] => [[[]],[],[],[],[]] => [[[],[],[],[],[]]] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [[[]],[],[],[[]]] => [[[],[],[[]],[]]] => 2
[[.,.],[.,[[.,.],[.,.]]]] => [[[]],[],[[]],[]] => [[[],[[]],[],[]]] => 2
[[.,.],[.,[[.,[.,.]],.]]] => [[[]],[],[[],[]]] => [[[],[[],[]],[]]] => 2
[[.,.],[.,[[[.,.],.],.]]] => [[[]],[],[[[]]]] => [[[],[[[]]],[]]] => 2
[[.,.],[[.,.],[.,[.,.]]]] => [[[]],[[]],[],[]] => [[[[]],[],[],[]]] => 2
[[.,.],[[.,.],[[.,.],.]]] => [[[]],[[]],[[]]] => [[[[]],[[]],[]]] => 3
[[.,.],[[.,[.,.]],[.,.]]] => [[[]],[[],[]],[]] => [[[[],[]],[],[]]] => 2
[[.,.],[[[.,.],.],[.,.]]] => [[[]],[[[]]],[]] => [[[[[]]],[],[]]] => 2
[[.,.],[[.,[.,[.,.]]],.]] => [[[]],[[],[],[]]] => [[[[],[],[]],[]]] => 2
[[.,.],[[.,[[.,.],.]],.]] => [[[]],[[],[[]]]] => [[[[],[[]]],[]]] => 3
[[.,.],[[[.,.],[.,.]],.]] => [[[]],[[[]],[]]] => [[[[[]],[]],[]]] => 3
[[.,.],[[[.,[.,.]],.],.]] => [[[]],[[[],[]]]] => [[[[[],[]]],[]]] => 2
[[.,.],[[[[.,.],.],.],.]] => [[[]],[[[[]]]]] => [[[[[[]]]],[]]] => 2
[[.,[.,.]],[.,[.,[.,.]]]] => [[[],[]],[],[],[]] => [[],[[],[],[],[]]] => 2
[[.,[.,.]],[.,[[.,.],.]]] => [[[],[]],[],[[]]] => [[],[[],[[]],[]]] => 3
[[.,[.,.]],[[.,.],[.,.]]] => [[[],[]],[[]],[]] => [[],[[[]],[],[]]] => 3
[[.,[.,.]],[[.,[.,.]],.]] => [[[],[]],[[],[]]] => [[],[[[],[]],[]]] => 3
[[.,[.,.]],[[[.,.],.],.]] => [[[],[]],[[[]]]] => [[],[[[[]]],[]]] => 3
[[[.,.],.],[.,[.,[.,.]]]] => [[[[]]],[],[],[]] => [[[[],[],[],[]]]] => 1
[[[.,.],.],[.,[[.,.],.]]] => [[[[]]],[],[[]]] => [[[[],[[]],[]]]] => 2
[[[.,.],.],[[.,.],[.,.]]] => [[[[]]],[[]],[]] => [[[[[]],[],[]]]] => 2
[[[.,.],.],[[.,[.,.]],.]] => [[[[]]],[[],[]]] => [[[[[],[]],[]]]] => 2
[[[.,.],.],[[[.,.],.],.]] => [[[[]]],[[[]]]] => [[[[[[]]],[]]]] => 2
[[.,[.,[.,.]]],[.,[.,.]]] => [[[],[],[]],[],[]] => [[],[],[[],[],[]]] => 2
[[.,[.,[.,.]]],[[.,.],.]] => [[[],[],[]],[[]]] => [[],[],[[[]],[]]] => 3
[[.,[[.,.],.]],[.,[.,.]]] => [[[],[[]]],[],[]] => [[[]],[[],[],[]]] => 2
[[.,[[.,.],.]],[[.,.],.]] => [[[],[[]]],[[]]] => [[[]],[[[]],[]]] => 3
[[[.,.],[.,.]],[.,[.,.]]] => [[[[]],[]],[],[]] => [[[],[[],[],[]]]] => 2
[[[.,.],[.,.]],[[.,.],.]] => [[[[]],[]],[[]]] => [[[],[[[]],[]]]] => 3
[[[.,[.,.]],.],[.,[.,.]]] => [[[[],[]]],[],[]] => [[],[[[],[],[]]]] => 2
[[[.,[.,.]],.],[[.,.],.]] => [[[[],[]]],[[]]] => [[],[[[[]],[]]]] => 3
[[[[.,.],.],.],[.,[.,.]]] => [[[[[]]]],[],[]] => [[[[[],[],[]]]]] => 1
[[[[.,.],.],.],[[.,.],.]] => [[[[[]]]],[[]]] => [[[[[[]],[]]]]] => 2
[[.,[.,[.,[.,.]]]],[.,.]] => [[[],[],[],[]],[]] => [[],[],[],[[],[]]] => 2
[[.,[.,[[.,.],.]]],[.,.]] => [[[],[],[[]]],[]] => [[],[[]],[[],[]]] => 3
[[.,[[.,.],[.,.]]],[.,.]] => [[[],[[]],[]],[]] => [[[]],[],[[],[]]] => 3
[[.,[[.,[.,.]],.]],[.,.]] => [[[],[[],[]]],[]] => [[[],[]],[[],[]]] => 2
[[.,[[[.,.],.],.]],[.,.]] => [[[],[[[]]]],[]] => [[[[]]],[[],[]]] => 2
[[[.,.],[.,[.,.]]],[.,.]] => [[[[]],[],[]],[]] => [[[],[],[[],[]]]] => 2
[[[.,.],[[.,.],.]],[.,.]] => [[[[]],[[]]],[]] => [[[[]],[[],[]]]] => 2
[[[.,[.,.]],[.,.]],[.,.]] => [[[[],[]],[]],[]] => [[],[[],[[],[]]]] => 3
[[[[.,.],.],[.,.]],[.,.]] => [[[[[]]],[]],[]] => [[[[],[[],[]]]]] => 2
[[[.,[.,[.,.]]],.],[.,.]] => [[[[],[],[]]],[]] => [[],[],[[[],[]]]] => 2
[[[.,[[.,.],.]],.],[.,.]] => [[[[],[[]]]],[]] => [[[]],[[[],[]]]] => 2
[[[[.,.],[.,.]],.],[.,.]] => [[[[[]],[]]],[]] => [[[],[[[],[]]]]] => 2
[[[[.,[.,.]],.],.],[.,.]] => [[[[[],[]]]],[]] => [[],[[[[],[]]]]] => 2
[[[[[.,.],.],.],.],[.,.]] => [[[[[[]]]]],[]] => [[[[[[],[]]]]]] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [[[],[],[],[],[]]] => [[],[],[],[],[[]]] => 2
[[.,[.,[.,[[.,.],.]]]],.] => [[[],[],[],[[]]]] => [[],[],[[]],[[]]] => 3
[[.,[.,[[.,.],[.,.]]]],.] => [[[],[],[[]],[]]] => [[],[[]],[],[[]]] => 3
[[.,[.,[[.,[.,.]],.]]],.] => [[[],[],[[],[]]]] => [[],[[],[]],[[]]] => 3
[[.,[.,[[[.,.],.],.]]],.] => [[[],[],[[[]]]]] => [[],[[[]]],[[]]] => 3
[[.,[[.,.],[.,[.,.]]]],.] => [[[],[[]],[],[]]] => [[[]],[],[],[[]]] => 3
[[.,[[.,.],[[.,.],.]]],.] => [[[],[[]],[[]]]] => [[[]],[[]],[[]]] => 3
[[.,[[.,[.,.]],[.,.]]],.] => [[[],[[],[]],[]]] => [[[],[]],[],[[]]] => 3
[[.,[[[.,.],.],[.,.]]],.] => [[[],[[[]]],[]]] => [[[[]]],[],[[]]] => 3
[[.,[[.,[.,[.,.]]],.]],.] => [[[],[[],[],[]]]] => [[[],[],[]],[[]]] => 2
[[.,[[.,[[.,.],.]],.]],.] => [[[],[[],[[]]]]] => [[[],[[]]],[[]]] => 3
[[.,[[[.,.],[.,.]],.]],.] => [[[],[[[]],[]]]] => [[[[]],[]],[[]]] => 3
[[.,[[[.,[.,.]],.],.]],.] => [[[],[[[],[]]]]] => [[[[],[]]],[[]]] => 2
[[.,[[[[.,.],.],.],.]],.] => [[[],[[[[]]]]]] => [[[[[]]]],[[]]] => 2
[[[.,.],[.,[.,[.,.]]]],.] => [[[[]],[],[],[]]] => [[[],[],[],[[]]]] => 2
[[[.,.],[.,[[.,.],.]]],.] => [[[[]],[],[[]]]] => [[[],[[]],[[]]]] => 3
[[[.,.],[[.,.],[.,.]]],.] => [[[[]],[[]],[]]] => [[[[]],[],[[]]]] => 3
[[[.,.],[[.,[.,.]],.]],.] => [[[[]],[[],[]]]] => [[[[],[]],[[]]]] => 2
[[[.,.],[[[.,.],.],.]],.] => [[[[]],[[[]]]]] => [[[[[]]],[[]]]] => 2
[[[.,[.,.]],[.,[.,.]]],.] => [[[[],[]],[],[]]] => [[],[[],[],[[]]]] => 3
[[[.,[.,.]],[[.,.],.]],.] => [[[[],[]],[[]]]] => [[],[[[]],[[]]]] => 3
[[[[.,.],.],[.,[.,.]]],.] => [[[[[]]],[],[]]] => [[[[],[],[[]]]]] => 2
[[[[.,.],.],[[.,.],.]],.] => [[[[[]]],[[]]]] => [[[[[]],[[]]]]] => 2
[[[.,[.,[.,.]]],[.,.]],.] => [[[[],[],[]],[]]] => [[],[],[[],[[]]]] => 3
[[[.,[[.,.],.]],[.,.]],.] => [[[[],[[]]],[]]] => [[[]],[[],[[]]]] => 3
[[[[.,.],[.,.]],[.,.]],.] => [[[[[]],[]],[]]] => [[[],[[],[[]]]]] => 3
[[[[.,[.,.]],.],[.,.]],.] => [[[[[],[]]],[]]] => [[],[[[],[[]]]]] => 3
[[[[[.,.],.],.],[.,.]],.] => [[[[[[]]]],[]]] => [[[[[],[[]]]]]] => 2
[[[.,[.,[.,[.,.]]]],.],.] => [[[[],[],[],[]]]] => [[],[],[],[[[]]]] => 2
[[[.,[.,[[.,.],.]]],.],.] => [[[[],[],[[]]]]] => [[],[[]],[[[]]]] => 3
[[[.,[[.,.],[.,.]]],.],.] => [[[[],[[]],[]]]] => [[[]],[],[[[]]]] => 3
[[[.,[[.,[.,.]],.]],.],.] => [[[[],[[],[]]]]] => [[[],[]],[[[]]]] => 2
[[[.,[[[.,.],.],.]],.],.] => [[[[],[[[]]]]]] => [[[[]]],[[[]]]] => 2
[[[[.,.],[.,[.,.]]],.],.] => [[[[[]],[],[]]]] => [[[],[],[[[]]]]] => 2
[[[[.,.],[[.,.],.]],.],.] => [[[[[]],[[]]]]] => [[[[]],[[[]]]]] => 2
[[[[.,[.,.]],[.,.]],.],.] => [[[[[],[]],[]]]] => [[],[[],[[[]]]]] => 3
[[[[[.,.],.],[.,.]],.],.] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]] => 2
[[[[.,[.,[.,.]]],.],.],.] => [[[[[],[],[]]]]] => [[],[],[[[[]]]]] => 2
[[[[.,[[.,.],.]],.],.],.] => [[[[[],[[]]]]]] => [[[]],[[[[]]]]] => 2
[[[[[.,.],[.,.]],.],.],.] => [[[[[[]],[]]]]] => [[[],[[[[]]]]]] => 2
[[[[[.,[.,.]],.],.],.],.] => [[[[[[],[]]]]]] => [[],[[[[[]]]]]] => 2
[[[[[[.,.],.],.],.],.],.] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]] => 1
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[]] => 1
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [[],[],[],[],[],[[]]] => [[],[],[],[],[[]],[]] => 2
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [[],[],[],[],[[]],[]] => [[],[],[],[[]],[],[]] => 2
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [[],[],[],[],[[],[]]] => [[],[],[],[[],[]],[]] => 2
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [[],[],[],[],[[[]]]] => [[],[],[],[[[]]],[]] => 2
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[]] => 2
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [[],[],[],[[]],[[]]] => [[],[],[[]],[[]],[]] => 3
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [[],[],[],[[],[]],[]] => [[],[],[[],[]],[],[]] => 2
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [[],[],[],[[[]]],[]] => [[],[],[[[]]],[],[]] => 2
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [[],[],[],[[],[],[]]] => [[],[],[[],[],[]],[]] => 2
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [[],[],[],[[],[[]]]] => [[],[],[[],[[]]],[]] => 3
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [[],[],[],[[[]],[]]] => [[],[],[[[]],[]],[]] => 3
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [[],[],[],[[[],[]]]] => [[],[],[[[],[]]],[]] => 2
[.,[.,[.,[[[[.,.],.],.],.]]]] => [[],[],[],[[[[]]]]] => [[],[],[[[[]]]],[]] => 2
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [[],[],[[]],[],[],[]] => [[],[[]],[],[],[],[]] => 2
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [[],[],[[]],[],[[]]] => [[],[[]],[],[[]],[]] => 3
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[]] => 3
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [[],[],[[]],[[],[]]] => [[],[[]],[[],[]],[]] => 3
[.,[.,[[.,.],[[[.,.],.],.]]]] => [[],[],[[]],[[[]]]] => [[],[[]],[[[]]],[]] => 3
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [[],[],[[],[]],[],[]] => [[],[[],[]],[],[],[]] => 2
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [[],[],[[],[]],[[]]] => [[],[[],[]],[[]],[]] => 3
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [[],[],[[[]]],[],[]] => [[],[[[]]],[],[],[]] => 2
[.,[.,[[[.,.],.],[[.,.],.]]]] => [[],[],[[[]]],[[]]] => [[],[[[]]],[[]],[]] => 3
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[]] => 2
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [[],[],[[],[[]]],[]] => [[],[[],[[]]],[],[]] => 3
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [[],[],[[[]],[]],[]] => [[],[[[]],[]],[],[]] => 3
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[]] => 2
[.,[.,[[[[.,.],.],.],[.,.]]]] => [[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[]] => 2
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [[],[],[[],[],[],[]]] => [[],[[],[],[],[]],[]] => 2
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [[],[],[[],[],[[]]]] => [[],[[],[],[[]]],[]] => 3
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [[],[],[[],[[]],[]]] => [[],[[],[[]],[]],[]] => 3
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [[],[],[[],[[],[]]]] => [[],[[],[[],[]]],[]] => 3
[.,[.,[[.,[[[.,.],.],.]],.]]] => [[],[],[[],[[[]]]]] => [[],[[],[[[]]]],[]] => 3
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [[],[],[[[]],[],[]]] => [[],[[[]],[],[]],[]] => 3
[.,[.,[[[.,.],[[.,.],.]],.]]] => [[],[],[[[]],[[]]]] => [[],[[[]],[[]]],[]] => 3
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [[],[],[[[],[]],[]]] => [[],[[[],[]],[]],[]] => 3
[.,[.,[[[[.,.],.],[.,.]],.]]] => [[],[],[[[[]]],[]]] => [[],[[[[]]],[]],[]] => 3
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [[],[],[[[],[],[]]]] => [[],[[[],[],[]]],[]] => 2
[.,[.,[[[.,[[.,.],.]],.],.]]] => [[],[],[[[],[[]]]]] => [[],[[[],[[]]]],[]] => 3
[.,[.,[[[[.,.],[.,.]],.],.]]] => [[],[],[[[[]],[]]]] => [[],[[[[]],[]]],[]] => 3
[.,[.,[[[[.,[.,.]],.],.],.]]] => [[],[],[[[[],[]]]]] => [[],[[[[],[]]]],[]] => 2
[.,[.,[[[[[.,.],.],.],.],.]]] => [[],[],[[[[[]]]]]] => [[],[[[[[]]]]],[]] => 2
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [[],[[]],[],[],[],[]] => [[[]],[],[],[],[],[]] => 2
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[]] => 3
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [[],[[]],[],[[]],[]] => [[[]],[],[[]],[],[]] => 3
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [[],[[]],[],[[],[]]] => [[[]],[],[[],[]],[]] => 3
[.,[[.,.],[.,[[[.,.],.],.]]]] => [[],[[]],[],[[[]]]] => [[[]],[],[[[]]],[]] => 3
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [[],[[]],[[]],[],[]] => [[[]],[[]],[],[],[]] => 3
[.,[[.,.],[[.,.],[[.,.],.]]]] => [[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[]] => 4
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [[],[[]],[[],[]],[]] => [[[]],[[],[]],[],[]] => 3
[.,[[.,.],[[[.,.],.],[.,.]]]] => [[],[[]],[[[]]],[]] => [[[]],[[[]]],[],[]] => 3
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [[],[[]],[[],[],[]]] => [[[]],[[],[],[]],[]] => 3
[.,[[.,.],[[.,[[.,.],.]],.]]] => [[],[[]],[[],[[]]]] => [[[]],[[],[[]]],[]] => 4
[.,[[.,.],[[[.,.],[.,.]],.]]] => [[],[[]],[[[]],[]]] => [[[]],[[[]],[]],[]] => 4
[.,[[.,.],[[[.,[.,.]],.],.]]] => [[],[[]],[[[],[]]]] => [[[]],[[[],[]]],[]] => 3
[.,[[.,.],[[[[.,.],.],.],.]]] => [[],[[]],[[[[]]]]] => [[[]],[[[[]]]],[]] => 3
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [[],[[],[]],[],[],[]] => [[[],[]],[],[],[],[]] => 2
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [[],[[],[]],[],[[]]] => [[[],[]],[],[[]],[]] => 3
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [[],[[],[]],[[]],[]] => [[[],[]],[[]],[],[]] => 3
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[]] => 3
[.,[[.,[.,.]],[[[.,.],.],.]]] => [[],[[],[]],[[[]]]] => [[[],[]],[[[]]],[]] => 3
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [[],[[[]]],[],[],[]] => [[[[]]],[],[],[],[]] => 2
[.,[[[.,.],.],[.,[[.,.],.]]]] => [[],[[[]]],[],[[]]] => [[[[]]],[],[[]],[]] => 3
[.,[[[.,.],.],[[.,.],[.,.]]]] => [[],[[[]]],[[]],[]] => [[[[]]],[[]],[],[]] => 3
[.,[[[.,.],.],[[.,[.,.]],.]]] => [[],[[[]]],[[],[]]] => [[[[]]],[[],[]],[]] => 3
[.,[[[.,.],.],[[[.,.],.],.]]] => [[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[]] => 3
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [[],[[],[],[]],[],[]] => [[[],[],[]],[],[],[]] => 2
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [[],[[],[],[]],[[]]] => [[[],[],[]],[[]],[]] => 3
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [[],[[],[[]]],[],[]] => [[[],[[]]],[],[],[]] => 3
[.,[[.,[[.,.],.]],[[.,.],.]]] => [[],[[],[[]]],[[]]] => [[[],[[]]],[[]],[]] => 4
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [[],[[[]],[]],[],[]] => [[[[]],[]],[],[],[]] => 3
[.,[[[.,.],[.,.]],[[.,.],.]]] => [[],[[[]],[]],[[]]] => [[[[]],[]],[[]],[]] => 4
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [[],[[[],[]]],[],[]] => [[[[],[]]],[],[],[]] => 2
[.,[[[.,[.,.]],.],[[.,.],.]]] => [[],[[[],[]]],[[]]] => [[[[],[]]],[[]],[]] => 3
[.,[[[[.,.],.],.],[.,[.,.]]]] => [[],[[[[]]]],[],[]] => [[[[[]]]],[],[],[]] => 2
[.,[[[[.,.],.],.],[[.,.],.]]] => [[],[[[[]]]],[[]]] => [[[[[]]]],[[]],[]] => 3
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [[],[[],[],[],[]],[]] => [[[],[],[],[]],[],[]] => 2
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [[],[[],[],[[]]],[]] => [[[],[],[[]]],[],[]] => 3
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [[],[[],[[]],[]],[]] => [[[],[[]],[]],[],[]] => 3
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [[],[[],[[],[]]],[]] => [[[],[[],[]]],[],[]] => 3
[.,[[.,[[[.,.],.],.]],[.,.]]] => [[],[[],[[[]]]],[]] => [[[],[[[]]]],[],[]] => 3
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [[],[[[]],[],[]],[]] => [[[[]],[],[]],[],[]] => 3
[.,[[[.,.],[[.,.],.]],[.,.]]] => [[],[[[]],[[]]],[]] => [[[[]],[[]]],[],[]] => 3
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [[],[[[],[]],[]],[]] => [[[[],[]],[]],[],[]] => 3
[.,[[[[.,.],.],[.,.]],[.,.]]] => [[],[[[[]]],[]],[]] => [[[[[]]],[]],[],[]] => 3
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [[],[[[],[],[]]],[]] => [[[[],[],[]]],[],[]] => 2
[.,[[[.,[[.,.],.]],.],[.,.]]] => [[],[[[],[[]]]],[]] => [[[[],[[]]]],[],[]] => 3
[.,[[[[.,.],[.,.]],.],[.,.]]] => [[],[[[[]],[]]],[]] => [[[[[]],[]]],[],[]] => 3
[.,[[[[.,[.,.]],.],.],[.,.]]] => [[],[[[[],[]]]],[]] => [[[[[],[]]]],[],[]] => 2
[.,[[[[[.,.],.],.],.],[.,.]]] => [[],[[[[[]]]]],[]] => [[[[[[]]]]],[],[]] => 2
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[]] => 2
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [[],[[],[],[],[[]]]] => [[[],[],[],[[]]],[]] => 3
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [[],[[],[],[[]],[]]] => [[[],[],[[]],[]],[]] => 3
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [[],[[],[],[[],[]]]] => [[[],[],[[],[]]],[]] => 3
[.,[[.,[.,[[[.,.],.],.]]],.]] => [[],[[],[],[[[]]]]] => [[[],[],[[[]]]],[]] => 3
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [[],[[],[[]],[],[]]] => [[[],[[]],[],[]],[]] => 3
[.,[[.,[[.,.],[[.,.],.]]],.]] => [[],[[],[[]],[[]]]] => [[[],[[]],[[]]],[]] => 4
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [[],[[],[[],[]],[]]] => [[[],[[],[]],[]],[]] => 3
[.,[[.,[[[.,.],.],[.,.]]],.]] => [[],[[],[[[]]],[]]] => [[[],[[[]]],[]],[]] => 3
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [[],[[],[[],[],[]]]] => [[[],[[],[],[]]],[]] => 3
[.,[[.,[[.,[[.,.],.]],.]],.]] => [[],[[],[[],[[]]]]] => [[[],[[],[[]]]],[]] => 4
[.,[[.,[[[.,.],[.,.]],.]],.]] => [[],[[],[[[]],[]]]] => [[[],[[[]],[]]],[]] => 4
[.,[[.,[[[.,[.,.]],.],.]],.]] => [[],[[],[[[],[]]]]] => [[[],[[[],[]]]],[]] => 3
[.,[[.,[[[[.,.],.],.],.]],.]] => [[],[[],[[[[]]]]]] => [[[],[[[[]]]]],[]] => 3
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [[],[[[]],[],[],[]]] => [[[[]],[],[],[]],[]] => 3
[.,[[[.,.],[.,[[.,.],.]]],.]] => [[],[[[]],[],[[]]]] => [[[[]],[],[[]]],[]] => 4
[.,[[[.,.],[[.,.],[.,.]]],.]] => [[],[[[]],[[]],[]]] => [[[[]],[[]],[]],[]] => 4
[.,[[[.,.],[[.,[.,.]],.]],.]] => [[],[[[]],[[],[]]]] => [[[[]],[[],[]]],[]] => 3
[.,[[[.,.],[[[.,.],.],.]],.]] => [[],[[[]],[[[]]]]] => [[[[]],[[[]]]],[]] => 3
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [[],[[[],[]],[],[]]] => [[[[],[]],[],[]],[]] => 3
[.,[[[.,[.,.]],[[.,.],.]],.]] => [[],[[[],[]],[[]]]] => [[[[],[]],[[]]],[]] => 3
[.,[[[[.,.],.],[.,[.,.]]],.]] => [[],[[[[]]],[],[]]] => [[[[[]]],[],[]],[]] => 3
[.,[[[[.,.],.],[[.,.],.]],.]] => [[],[[[[]]],[[]]]] => [[[[[]]],[[]]],[]] => 3
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [[],[[[],[],[]],[]]] => [[[[],[],[]],[]],[]] => 3
[.,[[[.,[[.,.],.]],[.,.]],.]] => [[],[[[],[[]]],[]]] => [[[[],[[]]],[]],[]] => 4
[.,[[[[.,.],[.,.]],[.,.]],.]] => [[],[[[[]],[]],[]]] => [[[[[]],[]],[]],[]] => 4
[.,[[[[.,[.,.]],.],[.,.]],.]] => [[],[[[[],[]]],[]]] => [[[[[],[]]],[]],[]] => 3
[.,[[[[[.,.],.],.],[.,.]],.]] => [[],[[[[[]]]],[]]] => [[[[[[]]]],[]],[]] => 3
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[]] => 2
[.,[[[.,[.,[[.,.],.]]],.],.]] => [[],[[[],[],[[]]]]] => [[[[],[],[[]]]],[]] => 3
[.,[[[.,[[.,.],[.,.]]],.],.]] => [[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[]] => 3
[.,[[[.,[[.,[.,.]],.]],.],.]] => [[],[[[],[[],[]]]]] => [[[[],[[],[]]]],[]] => 3
[.,[[[.,[[[.,.],.],.]],.],.]] => [[],[[[],[[[]]]]]] => [[[[],[[[]]]]],[]] => 3
[.,[[[[.,.],[.,[.,.]]],.],.]] => [[],[[[[]],[],[]]]] => [[[[[]],[],[]]],[]] => 3
[.,[[[[.,.],[[.,.],.]],.],.]] => [[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[]] => 3
[.,[[[[.,[.,.]],[.,.]],.],.]] => [[],[[[[],[]],[]]]] => [[[[[],[]],[]]],[]] => 3
[.,[[[[[.,.],.],[.,.]],.],.]] => [[],[[[[[]]],[]]]] => [[[[[[]]],[]]],[]] => 3
[.,[[[[.,[.,[.,.]]],.],.],.]] => [[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[]] => 2
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[.,[[[[[.,.],[.,.]],.],.],.]] => [[],[[[[[]],[]]]]] => [[[[[[]],[]]]],[]] => 3
[.,[[[[[.,[.,.]],.],.],.],.]] => [[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[]] => 2
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[[.,.],[.,[.,[.,[[.,.],.]]]]] => [[[]],[],[],[],[[]]] => [[[],[],[],[[]],[]]] => 2
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [[[]],[],[],[[]],[]] => [[[],[],[[]],[],[]]] => 2
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [[[]],[],[],[[],[]]] => [[[],[],[[],[]],[]]] => 2
[[.,.],[.,[.,[[[.,.],.],.]]]] => [[[]],[],[],[[[]]]] => [[[],[],[[[]]],[]]] => 2
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [[[]],[],[[]],[],[]] => [[[],[[]],[],[],[]]] => 2
[[.,.],[.,[[.,.],[[.,.],.]]]] => [[[]],[],[[]],[[]]] => [[[],[[]],[[]],[]]] => 3
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [[[]],[],[[],[]],[]] => [[[],[[],[]],[],[]]] => 2
[[.,.],[.,[[[.,.],.],[.,.]]]] => [[[]],[],[[[]]],[]] => [[[],[[[]]],[],[]]] => 2
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [[[]],[],[[],[],[]]] => [[[],[[],[],[]],[]]] => 2
[[.,.],[.,[[.,[[.,.],.]],.]]] => [[[]],[],[[],[[]]]] => [[[],[[],[[]]],[]]] => 3
[[.,.],[.,[[[.,.],[.,.]],.]]] => [[[]],[],[[[]],[]]] => [[[],[[[]],[]],[]]] => 3
[[.,.],[.,[[[.,[.,.]],.],.]]] => [[[]],[],[[[],[]]]] => [[[],[[[],[]]],[]]] => 2
[[.,.],[.,[[[[.,.],.],.],.]]] => [[[]],[],[[[[]]]]] => [[[],[[[[]]]],[]]] => 2
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [[[]],[[]],[],[],[]] => [[[[]],[],[],[],[]]] => 2
[[.,.],[[.,.],[.,[[.,.],.]]]] => [[[]],[[]],[],[[]]] => [[[[]],[],[[]],[]]] => 3
[[.,.],[[.,.],[[.,.],[.,.]]]] => [[[]],[[]],[[]],[]] => [[[[]],[[]],[],[]]] => 3
[[.,.],[[.,.],[[.,[.,.]],.]]] => [[[]],[[]],[[],[]]] => [[[[]],[[],[]],[]]] => 3
[[.,.],[[.,.],[[[.,.],.],.]]] => [[[]],[[]],[[[]]]] => [[[[]],[[[]]],[]]] => 3
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [[[]],[[],[]],[],[]] => [[[[],[]],[],[],[]]] => 2
[[.,.],[[.,[.,.]],[[.,.],.]]] => [[[]],[[],[]],[[]]] => [[[[],[]],[[]],[]]] => 3
[[.,.],[[[.,.],.],[.,[.,.]]]] => [[[]],[[[]]],[],[]] => [[[[[]]],[],[],[]]] => 2
[[.,.],[[[.,.],.],[[.,.],.]]] => [[[]],[[[]]],[[]]] => [[[[[]]],[[]],[]]] => 3
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [[[]],[[],[],[]],[]] => [[[[],[],[]],[],[]]] => 2
[[.,.],[[.,[[.,.],.]],[.,.]]] => [[[]],[[],[[]]],[]] => [[[[],[[]]],[],[]]] => 3
[[.,.],[[[.,.],[.,.]],[.,.]]] => [[[]],[[[]],[]],[]] => [[[[[]],[]],[],[]]] => 3
[[.,.],[[[.,[.,.]],.],[.,.]]] => [[[]],[[[],[]]],[]] => [[[[[],[]]],[],[]]] => 2
[[.,.],[[[[.,.],.],.],[.,.]]] => [[[]],[[[[]]]],[]] => [[[[[[]]]],[],[]]] => 2
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [[[]],[[],[],[],[]]] => [[[[],[],[],[]],[]]] => 2
[[.,.],[[.,[.,[[.,.],.]]],.]] => [[[]],[[],[],[[]]]] => [[[[],[],[[]]],[]]] => 3
[[.,.],[[.,[[.,.],[.,.]]],.]] => [[[]],[[],[[]],[]]] => [[[[],[[]],[]],[]]] => 3
[[.,.],[[.,[[.,[.,.]],.]],.]] => [[[]],[[],[[],[]]]] => [[[[],[[],[]]],[]]] => 3
[[.,.],[[.,[[[.,.],.],.]],.]] => [[[]],[[],[[[]]]]] => [[[[],[[[]]]],[]]] => 3
[[.,.],[[[.,.],[.,[.,.]]],.]] => [[[]],[[[]],[],[]]] => [[[[[]],[],[]],[]]] => 3
[[.,.],[[[.,.],[[.,.],.]],.]] => [[[]],[[[]],[[]]]] => [[[[[]],[[]]],[]]] => 3
[[.,.],[[[.,[.,.]],[.,.]],.]] => [[[]],[[[],[]],[]]] => [[[[[],[]],[]],[]]] => 3
[[.,.],[[[[.,.],.],[.,.]],.]] => [[[]],[[[[]]],[]]] => [[[[[[]]],[]],[]]] => 3
[[.,.],[[[.,[.,[.,.]]],.],.]] => [[[]],[[[],[],[]]]] => [[[[[],[],[]]],[]]] => 2
[[.,.],[[[.,[[.,.],.]],.],.]] => [[[]],[[[],[[]]]]] => [[[[[],[[]]]],[]]] => 3
[[.,.],[[[[.,.],[.,.]],.],.]] => [[[]],[[[[]],[]]]] => [[[[[[]],[]]],[]]] => 3
[[.,.],[[[[.,[.,.]],.],.],.]] => [[[]],[[[[],[]]]]] => [[[[[[],[]]]],[]]] => 2
[[.,.],[[[[[.,.],.],.],.],.]] => [[[]],[[[[[]]]]]] => [[[[[[[]]]]],[]]] => 2
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[[],[]],[],[],[],[]] => [[],[[],[],[],[],[]]] => 2
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [[[],[]],[],[],[[]]] => [[],[[],[],[[]],[]]] => 3
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [[[],[]],[],[[]],[]] => [[],[[],[[]],[],[]]] => 3
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [[[],[]],[],[[],[]]] => [[],[[],[[],[]],[]]] => 3
[[.,[.,.]],[.,[[[.,.],.],.]]] => [[[],[]],[],[[[]]]] => [[],[[],[[[]]],[]]] => 3
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [[[],[]],[[]],[],[]] => [[],[[[]],[],[],[]]] => 3
[[.,[.,.]],[[.,.],[[.,.],.]]] => [[[],[]],[[]],[[]]] => [[],[[[]],[[]],[]]] => 4
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [[[],[]],[[],[]],[]] => [[],[[[],[]],[],[]]] => 3
[[.,[.,.]],[[[.,.],.],[.,.]]] => [[[],[]],[[[]]],[]] => [[],[[[[]]],[],[]]] => 3
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [[[],[]],[[],[],[]]] => [[],[[[],[],[]],[]]] => 3
[[.,[.,.]],[[.,[[.,.],.]],.]] => [[[],[]],[[],[[]]]] => [[],[[[],[[]]],[]]] => 4
[[.,[.,.]],[[[.,.],[.,.]],.]] => [[[],[]],[[[]],[]]] => [[],[[[[]],[]],[]]] => 4
[[.,[.,.]],[[[.,[.,.]],.],.]] => [[[],[]],[[[],[]]]] => [[],[[[[],[]]],[]]] => 3
[[.,[.,.]],[[[[.,.],.],.],.]] => [[[],[]],[[[[]]]]] => [[],[[[[[]]]],[]]] => 3
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[[]]],[],[],[],[]] => [[[[],[],[],[],[]]]] => 1
[[[.,.],.],[.,[.,[[.,.],.]]]] => [[[[]]],[],[],[[]]] => [[[[],[],[[]],[]]]] => 2
[[[.,.],.],[.,[[.,.],[.,.]]]] => [[[[]]],[],[[]],[]] => [[[[],[[]],[],[]]]] => 2
[[[.,.],.],[.,[[.,[.,.]],.]]] => [[[[]]],[],[[],[]]] => [[[[],[[],[]],[]]]] => 2
[[[.,.],.],[.,[[[.,.],.],.]]] => [[[[]]],[],[[[]]]] => [[[[],[[[]]],[]]]] => 2
[[[.,.],.],[[.,.],[.,[.,.]]]] => [[[[]]],[[]],[],[]] => [[[[[]],[],[],[]]]] => 2
[[[.,.],.],[[.,.],[[.,.],.]]] => [[[[]]],[[]],[[]]] => [[[[[]],[[]],[]]]] => 3
[[[.,.],.],[[.,[.,.]],[.,.]]] => [[[[]]],[[],[]],[]] => [[[[[],[]],[],[]]]] => 2
[[[.,.],.],[[[.,.],.],[.,.]]] => [[[[]]],[[[]]],[]] => [[[[[[]]],[],[]]]] => 2
[[[.,.],.],[[.,[.,[.,.]]],.]] => [[[[]]],[[],[],[]]] => [[[[[],[],[]],[]]]] => 2
[[[.,.],.],[[.,[[.,.],.]],.]] => [[[[]]],[[],[[]]]] => [[[[[],[[]]],[]]]] => 3
[[[.,.],.],[[[.,.],[.,.]],.]] => [[[[]]],[[[]],[]]] => [[[[[[]],[]],[]]]] => 3
[[[.,.],.],[[[.,[.,.]],.],.]] => [[[[]]],[[[],[]]]] => [[[[[[],[]]],[]]]] => 2
[[[.,.],.],[[[[.,.],.],.],.]] => [[[[]]],[[[[]]]]] => [[[[[[[]]]],[]]]] => 2
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[[],[],[]],[],[],[]] => [[],[],[[],[],[],[]]] => 2
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [[[],[],[]],[],[[]]] => [[],[],[[],[[]],[]]] => 3
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [[[],[],[]],[[]],[]] => [[],[],[[[]],[],[]]] => 3
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [[[],[],[]],[[],[]]] => [[],[],[[[],[]],[]]] => 3
[[.,[.,[.,.]]],[[[.,.],.],.]] => [[[],[],[]],[[[]]]] => [[],[],[[[[]]],[]]] => 3
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [[[],[[]]],[],[],[]] => [[[]],[[],[],[],[]]] => 2
[[.,[[.,.],.]],[.,[[.,.],.]]] => [[[],[[]]],[],[[]]] => [[[]],[[],[[]],[]]] => 3
[[.,[[.,.],.]],[[.,.],[.,.]]] => [[[],[[]]],[[]],[]] => [[[]],[[[]],[],[]]] => 3
[[.,[[.,.],.]],[[.,[.,.]],.]] => [[[],[[]]],[[],[]]] => [[[]],[[[],[]],[]]] => 3
[[.,[[.,.],.]],[[[.,.],.],.]] => [[[],[[]]],[[[]]]] => [[[]],[[[[]]],[]]] => 3
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[[]],[]],[],[],[]] => [[[],[[],[],[],[]]]] => 2
[[[.,.],[.,.]],[.,[[.,.],.]]] => [[[[]],[]],[],[[]]] => [[[],[[],[[]],[]]]] => 3
[[[.,.],[.,.]],[[.,.],[.,.]]] => [[[[]],[]],[[]],[]] => [[[],[[[]],[],[]]]] => 3
[[[.,.],[.,.]],[[.,[.,.]],.]] => [[[[]],[]],[[],[]]] => [[[],[[[],[]],[]]]] => 3
[[[.,.],[.,.]],[[[.,.],.],.]] => [[[[]],[]],[[[]]]] => [[[],[[[[]]],[]]]] => 3
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[[],[]]],[],[],[]] => [[],[[[],[],[],[]]]] => 2
[[[.,[.,.]],.],[.,[[.,.],.]]] => [[[[],[]]],[],[[]]] => [[],[[[],[[]],[]]]] => 3
[[[.,[.,.]],.],[[.,.],[.,.]]] => [[[[],[]]],[[]],[]] => [[],[[[[]],[],[]]]] => 3
[[[.,[.,.]],.],[[.,[.,.]],.]] => [[[[],[]]],[[],[]]] => [[],[[[[],[]],[]]]] => 3
[[[.,[.,.]],.],[[[.,.],.],.]] => [[[[],[]]],[[[]]]] => [[],[[[[[]]],[]]]] => 3
[[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[[]]]],[],[],[]] => [[[[[],[],[],[]]]]] => 1
[[[[.,.],.],.],[.,[[.,.],.]]] => [[[[[]]]],[],[[]]] => [[[[[],[[]],[]]]]] => 2
[[[[.,.],.],.],[[.,.],[.,.]]] => [[[[[]]]],[[]],[]] => [[[[[[]],[],[]]]]] => 2
[[[[.,.],.],.],[[.,[.,.]],.]] => [[[[[]]]],[[],[]]] => [[[[[[],[]],[]]]]] => 2
[[[[.,.],.],.],[[[.,.],.],.]] => [[[[[]]]],[[[]]]] => [[[[[[[]]],[]]]]] => 2
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[[],[],[],[]],[],[]] => [[],[],[],[[],[],[]]] => 2
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [[[],[],[],[]],[[]]] => [[],[],[],[[[]],[]]] => 3
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [[[],[],[[]]],[],[]] => [[],[[]],[[],[],[]]] => 3
[[.,[.,[[.,.],.]]],[[.,.],.]] => [[[],[],[[]]],[[]]] => [[],[[]],[[[]],[]]] => 4
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [[[],[[]],[]],[],[]] => [[[]],[],[[],[],[]]] => 3
[[.,[[.,.],[.,.]]],[[.,.],.]] => [[[],[[]],[]],[[]]] => [[[]],[],[[[]],[]]] => 4
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [[[],[[],[]]],[],[]] => [[[],[]],[[],[],[]]] => 2
[[.,[[.,[.,.]],.]],[[.,.],.]] => [[[],[[],[]]],[[]]] => [[[],[]],[[[]],[]]] => 3
[[.,[[[.,.],.],.]],[.,[.,.]]] => [[[],[[[]]]],[],[]] => [[[[]]],[[],[],[]]] => 2
[[.,[[[.,.],.],.]],[[.,.],.]] => [[[],[[[]]]],[[]]] => [[[[]]],[[[]],[]]] => 3
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[[]],[],[]],[],[]] => [[[],[],[[],[],[]]]] => 2
[[[.,.],[.,[.,.]]],[[.,.],.]] => [[[[]],[],[]],[[]]] => [[[],[],[[[]],[]]]] => 3
[[[.,.],[[.,.],.]],[.,[.,.]]] => [[[[]],[[]]],[],[]] => [[[[]],[[],[],[]]]] => 2
[[[.,.],[[.,.],.]],[[.,.],.]] => [[[[]],[[]]],[[]]] => [[[[]],[[[]],[]]]] => 3
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[[],[]],[]],[],[]] => [[],[[],[[],[],[]]]] => 3
[[[.,[.,.]],[.,.]],[[.,.],.]] => [[[[],[]],[]],[[]]] => [[],[[],[[[]],[]]]] => 4
[[[[.,.],.],[.,.]],[.,[.,.]]] => [[[[[]]],[]],[],[]] => [[[[],[[],[],[]]]]] => 2
[[[[.,.],.],[.,.]],[[.,.],.]] => [[[[[]]],[]],[[]]] => [[[[],[[[]],[]]]]] => 3
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]]] => 2
[[[.,[.,[.,.]]],.],[[.,.],.]] => [[[[],[],[]]],[[]]] => [[],[],[[[[]],[]]]] => 3
[[[.,[[.,.],.]],.],[.,[.,.]]] => [[[[],[[]]]],[],[]] => [[[]],[[[],[],[]]]] => 2
[[[.,[[.,.],.]],.],[[.,.],.]] => [[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]]] => 3
[[[[.,.],[.,.]],.],[.,[.,.]]] => [[[[[]],[]]],[],[]] => [[[],[[[],[],[]]]]] => 2
[[[[.,.],[.,.]],.],[[.,.],.]] => [[[[[]],[]]],[[]]] => [[[],[[[[]],[]]]]] => 3
[[[[.,[.,.]],.],.],[.,[.,.]]] => [[[[[],[]]]],[],[]] => [[],[[[[],[],[]]]]] => 2
[[[[.,[.,.]],.],.],[[.,.],.]] => [[[[[],[]]]],[[]]] => [[],[[[[[]],[]]]]] => 3
[[[[[.,.],.],.],.],[.,[.,.]]] => [[[[[[]]]]],[],[]] => [[[[[[],[],[]]]]]] => 1
[[[[[.,.],.],.],.],[[.,.],.]] => [[[[[[]]]]],[[]]] => [[[[[[[]],[]]]]]] => 2
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[[],[],[],[],[]],[]] => [[],[],[],[],[[],[]]] => 2
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [[[],[],[],[[]]],[]] => [[],[],[[]],[[],[]]] => 3
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [[[],[],[[]],[]],[]] => [[],[[]],[],[[],[]]] => 3
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[],[],[[],[]]],[]] => [[],[[],[]],[[],[]]] => 3
[[.,[.,[[[.,.],.],.]]],[.,.]] => [[[],[],[[[]]]],[]] => [[],[[[]]],[[],[]]] => 3
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [[[],[[]],[],[]],[]] => [[[]],[],[],[[],[]]] => 3
[[.,[[.,.],[[.,.],.]]],[.,.]] => [[[],[[]],[[]]],[]] => [[[]],[[]],[[],[]]] => 3
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [[[],[[],[]],[]],[]] => [[[],[]],[],[[],[]]] => 3
[[.,[[[.,.],.],[.,.]]],[.,.]] => [[[],[[[]]],[]],[]] => [[[[]]],[],[[],[]]] => 3
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[],[[],[],[]]],[]] => [[[],[],[]],[[],[]]] => 2
[[.,[[.,[[.,.],.]],.]],[.,.]] => [[[],[[],[[]]]],[]] => [[[],[[]]],[[],[]]] => 3
[[.,[[[.,.],[.,.]],.]],[.,.]] => [[[],[[[]],[]]],[]] => [[[[]],[]],[[],[]]] => 3
[[.,[[[.,[.,.]],.],.]],[.,.]] => [[[],[[[],[]]]],[]] => [[[[],[]]],[[],[]]] => 2
[[.,[[[[.,.],.],.],.]],[.,.]] => [[[],[[[[]]]]],[]] => [[[[[]]]],[[],[]]] => 2
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[[]],[],[],[]],[]] => [[[],[],[],[[],[]]]] => 2
[[[.,.],[.,[[.,.],.]]],[.,.]] => [[[[]],[],[[]]],[]] => [[[],[[]],[[],[]]]] => 3
[[[.,.],[[.,.],[.,.]]],[.,.]] => [[[[]],[[]],[]],[]] => [[[[]],[],[[],[]]]] => 3
[[[.,.],[[.,[.,.]],.]],[.,.]] => [[[[]],[[],[]]],[]] => [[[[],[]],[[],[]]]] => 2
[[[.,.],[[[.,.],.],.]],[.,.]] => [[[[]],[[[]]]],[]] => [[[[[]]],[[],[]]]] => 2
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]]] => 3
[[[.,[.,.]],[[.,.],.]],[.,.]] => [[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]]] => 3
[[[[.,.],.],[.,[.,.]]],[.,.]] => [[[[[]]],[],[]],[]] => [[[[],[],[[],[]]]]] => 2
[[[[.,.],.],[[.,.],.]],[.,.]] => [[[[[]]],[[]]],[]] => [[[[[]],[[],[]]]]] => 2
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[[],[],[]],[]],[]] => [[],[],[[],[[],[]]]] => 3
[[[.,[[.,.],.]],[.,.]],[.,.]] => [[[[],[[]]],[]],[]] => [[[]],[[],[[],[]]]] => 3
[[[[.,.],[.,.]],[.,.]],[.,.]] => [[[[[]],[]],[]],[]] => [[[],[[],[[],[]]]]] => 3
[[[[.,[.,.]],.],[.,.]],[.,.]] => [[[[[],[]]],[]],[]] => [[],[[[],[[],[]]]]] => 3
[[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[[]]]],[]],[]] => [[[[[],[[],[]]]]]] => 2
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[],[],[],[]]],[]] => [[],[],[],[[[],[]]]] => 2
[[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[],[],[[]]]],[]] => [[],[[]],[[[],[]]]] => 3
[[[.,[[.,.],[.,.]]],.],[.,.]] => [[[[],[[]],[]]],[]] => [[[]],[],[[[],[]]]] => 3
[[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[],[[],[]]]],[]] => [[[],[]],[[[],[]]]] => 2
[[[.,[[[.,.],.],.]],.],[.,.]] => [[[[],[[[]]]]],[]] => [[[[]]],[[[],[]]]] => 2
[[[[.,.],[.,[.,.]]],.],[.,.]] => [[[[[]],[],[]]],[]] => [[[],[],[[[],[]]]]] => 2
[[[[.,.],[[.,.],.]],.],[.,.]] => [[[[[]],[[]]]],[]] => [[[[]],[[[],[]]]]] => 2
[[[[.,[.,.]],[.,.]],.],[.,.]] => [[[[[],[]],[]]],[]] => [[],[[],[[[],[]]]]] => 3
[[[[[.,.],.],[.,.]],.],[.,.]] => [[[[[[]]],[]]],[]] => [[[[],[[[],[]]]]]] => 2
[[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[],[],[]]]],[]] => [[],[],[[[[],[]]]]] => 2
[[[[.,[[.,.],.]],.],.],[.,.]] => [[[[[],[[]]]]],[]] => [[[]],[[[[],[]]]]] => 2
[[[[[.,.],[.,.]],.],.],[.,.]] => [[[[[[]],[]]]],[]] => [[[],[[[[],[]]]]]] => 2
[[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]]] => 2
[[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[]]]]]],[]] => [[[[[[[],[]]]]]]] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[[],[],[],[],[],[]]] => [[],[],[],[],[],[[]]] => 2
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [[[],[],[],[],[[]]]] => [[],[],[],[[]],[[]]] => 3
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [[[],[],[],[[]],[]]] => [[],[],[[]],[],[[]]] => 3
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [[[],[],[],[[],[]]]] => [[],[],[[],[]],[[]]] => 3
[[.,[.,[.,[[[.,.],.],.]]]],.] => [[[],[],[],[[[]]]]] => [[],[],[[[]]],[[]]] => 3
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [[[],[],[[]],[],[]]] => [[],[[]],[],[],[[]]] => 3
[[.,[.,[[.,.],[[.,.],.]]]],.] => [[[],[],[[]],[[]]]] => [[],[[]],[[]],[[]]] => 4
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [[[],[],[[],[]],[]]] => [[],[[],[]],[],[[]]] => 3
[[.,[.,[[[.,.],.],[.,.]]]],.] => [[[],[],[[[]]],[]]] => [[],[[[]]],[],[[]]] => 3
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [[[],[],[[],[],[]]]] => [[],[[],[],[]],[[]]] => 3
[[.,[.,[[.,[[.,.],.]],.]]],.] => [[[],[],[[],[[]]]]] => [[],[[],[[]]],[[]]] => 4
[[.,[.,[[[.,.],[.,.]],.]]],.] => [[[],[],[[[]],[]]]] => [[],[[[]],[]],[[]]] => 4
[[.,[.,[[[.,[.,.]],.],.]]],.] => [[[],[],[[[],[]]]]] => [[],[[[],[]]],[[]]] => 3
[[.,[.,[[[[.,.],.],.],.]]],.] => [[[],[],[[[[]]]]]] => [[],[[[[]]]],[[]]] => 3
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [[[],[[]],[],[],[]]] => [[[]],[],[],[],[[]]] => 3
[[.,[[.,.],[.,[[.,.],.]]]],.] => [[[],[[]],[],[[]]]] => [[[]],[],[[]],[[]]] => 4
[[.,[[.,.],[[.,.],[.,.]]]],.] => [[[],[[]],[[]],[]]] => [[[]],[[]],[],[[]]] => 4
[[.,[[.,.],[[.,[.,.]],.]]],.] => [[[],[[]],[[],[]]]] => [[[]],[[],[]],[[]]] => 3
[[.,[[.,.],[[[.,.],.],.]]],.] => [[[],[[]],[[[]]]]] => [[[]],[[[]]],[[]]] => 3
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [[[],[[],[]],[],[]]] => [[[],[]],[],[],[[]]] => 3
[[.,[[.,[.,.]],[[.,.],.]]],.] => [[[],[[],[]],[[]]]] => [[[],[]],[[]],[[]]] => 3
[[.,[[[.,.],.],[.,[.,.]]]],.] => [[[],[[[]]],[],[]]] => [[[[]]],[],[],[[]]] => 3
[[.,[[[.,.],.],[[.,.],.]]],.] => [[[],[[[]]],[[]]]] => [[[[]]],[[]],[[]]] => 3
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [[[],[[],[],[]],[]]] => [[[],[],[]],[],[[]]] => 3
[[.,[[.,[[.,.],.]],[.,.]]],.] => [[[],[[],[[]]],[]]] => [[[],[[]]],[],[[]]] => 4
[[.,[[[.,.],[.,.]],[.,.]]],.] => [[[],[[[]],[]],[]]] => [[[[]],[]],[],[[]]] => 4
[[.,[[[.,[.,.]],.],[.,.]]],.] => [[[],[[[],[]]],[]]] => [[[[],[]]],[],[[]]] => 3
[[.,[[[[.,.],.],.],[.,.]]],.] => [[[],[[[[]]]],[]]] => [[[[[]]]],[],[[]]] => 3
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [[[],[[],[],[],[]]]] => [[[],[],[],[]],[[]]] => 2
[[.,[[.,[.,[[.,.],.]]],.]],.] => [[[],[[],[],[[]]]]] => [[[],[],[[]]],[[]]] => 3
[[.,[[.,[[.,.],[.,.]]],.]],.] => [[[],[[],[[]],[]]]] => [[[],[[]],[]],[[]]] => 3
[[.,[[.,[[.,[.,.]],.]],.]],.] => [[[],[[],[[],[]]]]] => [[[],[[],[]]],[[]]] => 3
[[.,[[.,[[[.,.],.],.]],.]],.] => [[[],[[],[[[]]]]]] => [[[],[[[]]]],[[]]] => 3
[[.,[[[.,.],[.,[.,.]]],.]],.] => [[[],[[[]],[],[]]]] => [[[[]],[],[]],[[]]] => 3
[[.,[[[.,.],[[.,.],.]],.]],.] => [[[],[[[]],[[]]]]] => [[[[]],[[]]],[[]]] => 3
[[.,[[[.,[.,.]],[.,.]],.]],.] => [[[],[[[],[]],[]]]] => [[[[],[]],[]],[[]]] => 3
[[.,[[[[.,.],.],[.,.]],.]],.] => [[[],[[[[]]],[]]]] => [[[[[]]],[]],[[]]] => 3
[[.,[[[.,[.,[.,.]]],.],.]],.] => [[[],[[[],[],[]]]]] => [[[[],[],[]]],[[]]] => 2
[[.,[[[.,[[.,.],.]],.],.]],.] => [[[],[[[],[[]]]]]] => [[[[],[[]]]],[[]]] => 3
[[.,[[[[.,.],[.,.]],.],.]],.] => [[[],[[[[]],[]]]]] => [[[[[]],[]]],[[]]] => 3
[[.,[[[[.,[.,.]],.],.],.]],.] => [[[],[[[[],[]]]]]] => [[[[[],[]]]],[[]]] => 2
[[.,[[[[[.,.],.],.],.],.]],.] => [[[],[[[[[]]]]]]] => [[[[[[]]]]],[[]]] => 2
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]]] => 2
[[[.,.],[.,[.,[[.,.],.]]]],.] => [[[[]],[],[],[[]]]] => [[[],[],[[]],[[]]]] => 3
[[[.,.],[.,[[.,.],[.,.]]]],.] => [[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]]] => 3
[[[.,.],[.,[[.,[.,.]],.]]],.] => [[[[]],[],[[],[]]]] => [[[],[[],[]],[[]]]] => 3
[[[.,.],[.,[[[.,.],.],.]]],.] => [[[[]],[],[[[]]]]] => [[[],[[[]]],[[]]]] => 3
[[[.,.],[[.,.],[.,[.,.]]]],.] => [[[[]],[[]],[],[]]] => [[[[]],[],[],[[]]]] => 3
[[[.,.],[[.,.],[[.,.],.]]],.] => [[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]]] => 3
[[[.,.],[[.,[.,.]],[.,.]]],.] => [[[[]],[[],[]],[]]] => [[[[],[]],[],[[]]]] => 3
[[[.,.],[[[.,.],.],[.,.]]],.] => [[[[]],[[[]]],[]]] => [[[[[]]],[],[[]]]] => 3
[[[.,.],[[.,[.,[.,.]]],.]],.] => [[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]]] => 2
[[[.,.],[[.,[[.,.],.]],.]],.] => [[[[]],[[],[[]]]]] => [[[[],[[]]],[[]]]] => 3
[[[.,.],[[[.,.],[.,.]],.]],.] => [[[[]],[[[]],[]]]] => [[[[[]],[]],[[]]]] => 3
[[[.,.],[[[.,[.,.]],.],.]],.] => [[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]]] => 2
[[[.,.],[[[[.,.],.],.],.]],.] => [[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]]] => 2
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[[],[]],[],[],[]]] => [[],[[],[],[],[[]]]] => 3
[[[.,[.,.]],[.,[[.,.],.]]],.] => [[[[],[]],[],[[]]]] => [[],[[],[[]],[[]]]] => 4
[[[.,[.,.]],[[.,.],[.,.]]],.] => [[[[],[]],[[]],[]]] => [[],[[[]],[],[[]]]] => 4
[[[.,[.,.]],[[.,[.,.]],.]],.] => [[[[],[]],[[],[]]]] => [[],[[[],[]],[[]]]] => 3
[[[.,[.,.]],[[[.,.],.],.]],.] => [[[[],[]],[[[]]]]] => [[],[[[[]]],[[]]]] => 3
[[[[.,.],.],[.,[.,[.,.]]]],.] => [[[[[]]],[],[],[]]] => [[[[],[],[],[[]]]]] => 2
[[[[.,.],.],[.,[[.,.],.]]],.] => [[[[[]]],[],[[]]]] => [[[[],[[]],[[]]]]] => 3
[[[[.,.],.],[[.,.],[.,.]]],.] => [[[[[]]],[[]],[]]] => [[[[[]],[],[[]]]]] => 3
[[[[.,.],.],[[.,[.,.]],.]],.] => [[[[[]]],[[],[]]]] => [[[[[],[]],[[]]]]] => 2
[[[[.,.],.],[[[.,.],.],.]],.] => [[[[[]]],[[[]]]]] => [[[[[[]]],[[]]]]] => 2
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [[[[],[],[]],[],[]]] => [[],[],[[],[],[[]]]] => 3
[[[.,[.,[.,.]]],[[.,.],.]],.] => [[[[],[],[]],[[]]]] => [[],[],[[[]],[[]]]] => 3
[[[.,[[.,.],.]],[.,[.,.]]],.] => [[[[],[[]]],[],[]]] => [[[]],[[],[],[[]]]] => 3
[[[.,[[.,.],.]],[[.,.],.]],.] => [[[[],[[]]],[[]]]] => [[[]],[[[]],[[]]]] => 3
[[[[.,.],[.,.]],[.,[.,.]]],.] => [[[[[]],[]],[],[]]] => [[[],[[],[],[[]]]]] => 3
[[[[.,.],[.,.]],[[.,.],.]],.] => [[[[[]],[]],[[]]]] => [[[],[[[]],[[]]]]] => 3
[[[[.,[.,.]],.],[.,[.,.]]],.] => [[[[[],[]]],[],[]]] => [[],[[[],[],[[]]]]] => 3
[[[[.,[.,.]],.],[[.,.],.]],.] => [[[[[],[]]],[[]]]] => [[],[[[[]],[[]]]]] => 3
[[[[[.,.],.],.],[.,[.,.]]],.] => [[[[[[]]]],[],[]]] => [[[[[],[],[[]]]]]] => 2
[[[[[.,.],.],.],[[.,.],.]],.] => [[[[[[]]]],[[]]]] => [[[[[[]],[[]]]]]] => 2
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [[[[],[],[],[]],[]]] => [[],[],[],[[],[[]]]] => 3
[[[.,[.,[[.,.],.]]],[.,.]],.] => [[[[],[],[[]]],[]]] => [[],[[]],[[],[[]]]] => 4
[[[.,[[.,.],[.,.]]],[.,.]],.] => [[[[],[[]],[]],[]]] => [[[]],[],[[],[[]]]] => 4
[[[.,[[.,[.,.]],.]],[.,.]],.] => [[[[],[[],[]]],[]]] => [[[],[]],[[],[[]]]] => 3
[[[.,[[[.,.],.],.]],[.,.]],.] => [[[[],[[[]]]],[]]] => [[[[]]],[[],[[]]]] => 3
[[[[.,.],[.,[.,.]]],[.,.]],.] => [[[[[]],[],[]],[]]] => [[[],[],[[],[[]]]]] => 3
[[[[.,.],[[.,.],.]],[.,.]],.] => [[[[[]],[[]]],[]]] => [[[[]],[[],[[]]]]] => 3
[[[[.,[.,.]],[.,.]],[.,.]],.] => [[[[[],[]],[]],[]]] => [[],[[],[[],[[]]]]] => 4
[[[[[.,.],.],[.,.]],[.,.]],.] => [[[[[[]]],[]],[]]] => [[[[],[[],[[]]]]]] => 3
[[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[[],[],[]]],[]]] => [[],[],[[[],[[]]]]] => 3
[[[[.,[[.,.],.]],.],[.,.]],.] => [[[[[],[[]]]],[]]] => [[[]],[[[],[[]]]]] => 3
[[[[[.,.],[.,.]],.],[.,.]],.] => [[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]]] => 3
[[[[[.,[.,.]],.],.],[.,.]],.] => [[[[[[],[]]]],[]]] => [[],[[[[],[[]]]]]] => 3
[[[[[[.,.],.],.],.],[.,.]],.] => [[[[[[[]]]]],[]]] => [[[[[[],[[]]]]]]] => 2
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [[[[],[],[],[],[]]]] => [[],[],[],[],[[[]]]] => 2
[[[.,[.,[.,[[.,.],.]]]],.],.] => [[[[],[],[],[[]]]]] => [[],[],[[]],[[[]]]] => 3
[[[.,[.,[[.,.],[.,.]]]],.],.] => [[[[],[],[[]],[]]]] => [[],[[]],[],[[[]]]] => 3
[[[.,[.,[[.,[.,.]],.]]],.],.] => [[[[],[],[[],[]]]]] => [[],[[],[]],[[[]]]] => 3
[[[.,[.,[[[.,.],.],.]]],.],.] => [[[[],[],[[[]]]]]] => [[],[[[]]],[[[]]]] => 3
[[[.,[[.,.],[.,[.,.]]]],.],.] => [[[[],[[]],[],[]]]] => [[[]],[],[],[[[]]]] => 3
[[[.,[[.,.],[[.,.],.]]],.],.] => [[[[],[[]],[[]]]]] => [[[]],[[]],[[[]]]] => 3
[[[.,[[.,[.,.]],[.,.]]],.],.] => [[[[],[[],[]],[]]]] => [[[],[]],[],[[[]]]] => 3
[[[.,[[[.,.],.],[.,.]]],.],.] => [[[[],[[[]]],[]]]] => [[[[]]],[],[[[]]]] => 3
[[[.,[[.,[.,[.,.]]],.]],.],.] => [[[[],[[],[],[]]]]] => [[[],[],[]],[[[]]]] => 2
[[[.,[[.,[[.,.],.]],.]],.],.] => [[[[],[[],[[]]]]]] => [[[],[[]]],[[[]]]] => 3
[[[.,[[[.,.],[.,.]],.]],.],.] => [[[[],[[[]],[]]]]] => [[[[]],[]],[[[]]]] => 3
[[[.,[[[.,[.,.]],.],.]],.],.] => [[[[],[[[],[]]]]]] => [[[[],[]]],[[[]]]] => 2
[[[.,[[[[.,.],.],.],.]],.],.] => [[[[],[[[[]]]]]]] => [[[[[]]]],[[[]]]] => 2
[[[[.,.],[.,[.,[.,.]]]],.],.] => [[[[[]],[],[],[]]]] => [[[],[],[],[[[]]]]] => 2
[[[[.,.],[.,[[.,.],.]]],.],.] => [[[[[]],[],[[]]]]] => [[[],[[]],[[[]]]]] => 3
[[[[.,.],[[.,.],[.,.]]],.],.] => [[[[[]],[[]],[]]]] => [[[[]],[],[[[]]]]] => 3
[[[[.,.],[[.,[.,.]],.]],.],.] => [[[[[]],[[],[]]]]] => [[[[],[]],[[[]]]]] => 2
[[[[.,.],[[[.,.],.],.]],.],.] => [[[[[]],[[[]]]]]] => [[[[[]]],[[[]]]]] => 2
[[[[.,[.,.]],[.,[.,.]]],.],.] => [[[[[],[]],[],[]]]] => [[],[[],[],[[[]]]]] => 3
[[[[.,[.,.]],[[.,.],.]],.],.] => [[[[[],[]],[[]]]]] => [[],[[[]],[[[]]]]] => 3
[[[[[.,.],.],[.,[.,.]]],.],.] => [[[[[[]]],[],[]]]] => [[[[],[],[[[]]]]]] => 2
[[[[[.,.],.],[[.,.],.]],.],.] => [[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]]] => 2
[[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[[],[],[]],[]]]] => [[],[],[[],[[[]]]]] => 3
[[[[.,[[.,.],.]],[.,.]],.],.] => [[[[[],[[]]],[]]]] => [[[]],[[],[[[]]]]] => 3
[[[[[.,.],[.,.]],[.,.]],.],.] => [[[[[[]],[]],[]]]] => [[[],[[],[[[]]]]]] => 3
[[[[[.,[.,.]],.],[.,.]],.],.] => [[[[[[],[]]],[]]]] => [[],[[[],[[[]]]]]] => 3
[[[[[[.,.],.],.],[.,.]],.],.] => [[[[[[[]]]],[]]]] => [[[[[],[[[]]]]]]] => 2
[[[[.,[.,[.,[.,.]]]],.],.],.] => [[[[[],[],[],[]]]]] => [[],[],[],[[[[]]]]] => 2
[[[[.,[.,[[.,.],.]]],.],.],.] => [[[[[],[],[[]]]]]] => [[],[[]],[[[[]]]]] => 3
[[[[.,[[.,.],[.,.]]],.],.],.] => [[[[[],[[]],[]]]]] => [[[]],[],[[[[]]]]] => 3
[[[[.,[[.,[.,.]],.]],.],.],.] => [[[[[],[[],[]]]]]] => [[[],[]],[[[[]]]]] => 2
[[[[.,[[[.,.],.],.]],.],.],.] => [[[[[],[[[]]]]]]] => [[[[]]],[[[[]]]]] => 2
[[[[[.,.],[.,[.,.]]],.],.],.] => [[[[[[]],[],[]]]]] => [[[],[],[[[[]]]]]] => 2
[[[[[.,.],[[.,.],.]],.],.],.] => [[[[[[]],[[]]]]]] => [[[[]],[[[[]]]]]] => 2
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[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [[],[[]],[[[]],[]],[]] => [[[]],[[[]],[]],[],[]] => 4
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[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [[],[[]],[[[[]]]],[]] => [[[]],[[[[]]]],[],[]] => 3
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [[],[[]],[[],[],[],[]]] => [[[]],[[],[],[],[]],[]] => 3
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[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [[],[[]],[[[]],[[]]]] => [[[]],[[[]],[[]]],[]] => 4
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [[],[[]],[[[],[]],[]]] => [[[]],[[[],[]],[]],[]] => 4
[.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [[],[[]],[[[[]]],[]]] => [[[]],[[[[]]],[]],[]] => 4
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [[],[[]],[[[],[],[]]]] => [[[]],[[[],[],[]]],[]] => 3
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [[],[[]],[[[],[[]]]]] => [[[]],[[[],[[]]]],[]] => 4
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [[],[[]],[[[[]],[]]]] => [[[]],[[[[]],[]]],[]] => 4
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [[],[[]],[[[[],[]]]]] => [[[]],[[[[],[]]]],[]] => 3
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [[],[[]],[[[[[]]]]]] => [[[]],[[[[[]]]]],[]] => 3
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [[],[[],[]],[],[],[],[]] => [[[],[]],[],[],[],[],[]] => 2
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [[],[[],[]],[],[],[[]]] => [[[],[]],[],[],[[]],[]] => 3
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [[],[[],[]],[],[[]],[]] => [[[],[]],[],[[]],[],[]] => 3
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [[],[[[]]],[],[],[],[]] => [[[[]]],[],[],[],[],[]] => 2
[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [[],[[[]]],[],[],[[]]] => [[[[]]],[],[],[[]],[]] => 3
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [[],[[[]]],[],[[]],[]] => [[[[]]],[],[[]],[],[]] => 3
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[[],[]],[],[],[],[],[]] => [[],[[],[],[],[],[],[]]] => 2
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [[[],[]],[],[],[],[[]]] => [[],[[],[],[],[[]],[]]] => 3
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [[[],[]],[],[],[[]],[]] => [[],[[],[],[[]],[],[]]] => 3
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [[[],[]],[],[],[[],[]]] => [[],[[],[],[[],[]],[]]] => 3
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [[[],[]],[],[],[[[]]]] => [[],[[],[],[[[]]],[]]] => 3
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [[[],[]],[],[[]],[],[]] => [[],[[],[[]],[],[],[]]] => 3
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [[[],[]],[],[[]],[[]]] => [[],[[],[[]],[[]],[]]] => 4
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [[[],[]],[],[[],[]],[]] => [[],[[],[[],[]],[],[]]] => 3
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [[[],[]],[],[[[]]],[]] => [[],[[],[[[]]],[],[]]] => 3
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [[[],[]],[],[[],[],[]]] => [[],[[],[[],[],[]],[]]] => 3
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [[[],[]],[],[[],[[]]]] => [[],[[],[[],[[]]],[]]] => 4
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [[[],[]],[],[[[]],[]]] => [[],[[],[[[]],[]],[]]] => 4
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [[[],[]],[],[[[],[]]]] => [[],[[],[[[],[]]],[]]] => 3
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [[[],[]],[],[[[[]]]]] => [[],[[],[[[[]]]],[]]] => 3
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [[[],[]],[[]],[],[],[]] => [[],[[[]],[],[],[],[]]] => 3
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [[[],[]],[[]],[],[[]]] => [[],[[[]],[],[[]],[]]] => 4
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [[[],[]],[[]],[[]],[]] => [[],[[[]],[[]],[],[]]] => 4
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [[[],[]],[[]],[[],[]]] => [[],[[[]],[[],[]],[]]] => 4
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [[[],[]],[[]],[[[]]]] => [[],[[[]],[[[]]],[]]] => 4
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [[[],[]],[[],[]],[],[]] => [[],[[[],[]],[],[],[]]] => 3
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [[[],[]],[[],[]],[[]]] => [[],[[[],[]],[[]],[]]] => 4
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [[[],[]],[[[]]],[],[]] => [[],[[[[]]],[],[],[]]] => 3
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [[[],[]],[[[]]],[[]]] => [[],[[[[]]],[[]],[]]] => 4
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [[[],[]],[[],[],[]],[]] => [[],[[[],[],[]],[],[]]] => 3
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [[[],[]],[[],[[]]],[]] => [[],[[[],[[]]],[],[]]] => 4
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[],[]],[[[]],[]],[]] => [[],[[[[]],[]],[],[]]] => 4
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [[[],[]],[[[],[]]],[]] => [[],[[[[],[]]],[],[]]] => 3
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [[[],[]],[[[[]]]],[]] => [[],[[[[[]]]],[],[]]] => 3
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [[[],[]],[[],[],[],[]]] => [[],[[[],[],[],[]],[]]] => 3
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [[[],[]],[[],[],[[]]]] => [[],[[[],[],[[]]],[]]] => 4
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [[[],[]],[[],[[]],[]]] => [[],[[[],[[]],[]],[]]] => 4
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[],[]],[[],[[],[]]]] => [[],[[[],[[],[]]],[]]] => 4
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [[[],[]],[[],[[[]]]]] => [[],[[[],[[[]]]],[]]] => 4
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [[[],[]],[[[]],[],[]]] => [[],[[[[]],[],[]],[]]] => 4
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [[[],[]],[[[]],[[]]]] => [[],[[[[]],[[]]],[]]] => 4
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[],[]],[[[],[]],[]]] => [[],[[[[],[]],[]],[]]] => 4
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [[[],[]],[[[[]]],[]]] => [[],[[[[[]]],[]],[]]] => 4
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [[[],[]],[[[],[],[]]]] => [[],[[[[],[],[]]],[]]] => 3
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [[[],[]],[[[],[[]]]]] => [[],[[[[],[[]]]],[]]] => 4
[[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [[[],[]],[[[[]],[]]]] => [[],[[[[[]],[]]],[]]] => 4
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [[[],[]],[[[[],[]]]]] => [[],[[[[[],[]]]],[]]] => 3
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [[[],[]],[[[[[]]]]]] => [[],[[[[[[]]]]],[]]] => 3
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [[[],[],[]],[],[],[],[]] => [[],[],[[],[],[],[],[]]] => 2
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [[[],[],[]],[],[],[[]]] => [[],[],[[],[],[[]],[]]] => 3
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [[[],[],[]],[],[[]],[]] => [[],[],[[],[[]],[],[]]] => 3
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [[[],[],[]],[],[[],[]]] => [[],[],[[],[[],[]],[]]] => 3
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [[[],[],[]],[],[[[]]]] => [[],[],[[],[[[]]],[]]] => 3
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [[[],[],[]],[[]],[],[]] => [[],[],[[[]],[],[],[]]] => 3
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [[[],[],[]],[[]],[[]]] => [[],[],[[[]],[[]],[]]] => 4
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [[[],[],[]],[[],[]],[]] => [[],[],[[[],[]],[],[]]] => 3
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [[[],[],[]],[[[]]],[]] => [[],[],[[[[]]],[],[]]] => 3
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [[[],[],[]],[[],[],[]]] => [[],[],[[[],[],[]],[]]] => 3
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [[[],[],[]],[[],[[]]]] => [[],[],[[[],[[]]],[]]] => 4
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [[[],[],[]],[[[]],[]]] => [[],[],[[[[]],[]],[]]] => 4
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [[[],[],[]],[[[],[]]]] => [[],[],[[[[],[]]],[]]] => 3
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [[[],[],[]],[[[[]]]]] => [[],[],[[[[[]]]],[]]] => 3
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [[[],[[]]],[],[],[],[]] => [[[]],[[],[],[],[],[]]] => 2
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [[[],[[]]],[],[],[[]]] => [[[]],[[],[],[[]],[]]] => 3
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [[[],[[]]],[],[[]],[]] => [[[]],[[],[[]],[],[]]] => 3
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [[[],[[]]],[],[[],[]]] => [[[]],[[],[[],[]],[]]] => 3
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [[[],[[]]],[],[[[]]]] => [[[]],[[],[[[]]],[]]] => 3
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [[[],[[]]],[[]],[],[]] => [[[]],[[[]],[],[],[]]] => 3
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [[[],[[]]],[[]],[[]]] => [[[]],[[[]],[[]],[]]] => 4
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [[[],[[]]],[[],[]],[]] => [[[]],[[[],[]],[],[]]] => 3
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [[[],[[]]],[[[]]],[]] => [[[]],[[[[]]],[],[]]] => 3
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [[[],[[]]],[[],[],[]]] => [[[]],[[[],[],[]],[]]] => 3
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [[[],[[]]],[[],[[]]]] => [[[]],[[[],[[]]],[]]] => 4
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [[[],[[]]],[[[]],[]]] => [[[]],[[[[]],[]],[]]] => 4
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [[[],[[]]],[[[],[]]]] => [[[]],[[[[],[]]],[]]] => 3
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [[[],[[]]],[[[[]]]]] => [[[]],[[[[[]]]],[]]] => 3
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [[[[],[]]],[],[],[],[]] => [[],[[[],[],[],[],[]]]] => 2
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [[[[],[]]],[],[],[[]]] => [[],[[[],[],[[]],[]]]] => 3
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [[[[],[]]],[],[[]],[]] => [[],[[[],[[]],[],[]]]] => 3
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [[[[],[]]],[],[[],[]]] => [[],[[[],[[],[]],[]]]] => 3
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [[[[],[]]],[],[[[]]]] => [[],[[[],[[[]]],[]]]] => 3
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [[[[],[]]],[[]],[],[]] => [[],[[[[]],[],[],[]]]] => 3
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [[[[],[]]],[[]],[[]]] => [[],[[[[]],[[]],[]]]] => 4
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [[[[],[]]],[[],[]],[]] => [[],[[[[],[]],[],[]]]] => 3
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [[[[],[]]],[[[]]],[]] => [[],[[[[[]]],[],[]]]] => 3
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [[[[],[]]],[[],[],[]]] => [[],[[[[],[],[]],[]]]] => 3
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [[[[],[]]],[[],[[]]]] => [[],[[[[],[[]]],[]]]] => 4
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [[[[],[]]],[[[]],[]]] => [[],[[[[[]],[]],[]]]] => 4
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [[[[],[]]],[[[],[]]]] => [[],[[[[[],[]]],[]]]] => 3
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [[[[],[]]],[[[[]]]]] => [[],[[[[[[]]]],[]]]] => 3
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [[[],[],[],[]],[],[],[]] => [[],[],[],[[],[],[],[]]] => 2
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [[[],[],[],[]],[],[[]]] => [[],[],[],[[],[[]],[]]] => 3
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [[[],[],[],[]],[[]],[]] => [[],[],[],[[[]],[],[]]] => 3
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [[[],[],[],[]],[[],[]]] => [[],[],[],[[[],[]],[]]] => 3
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [[[],[],[],[]],[[[]]]] => [[],[],[],[[[[]]],[]]] => 3
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [[[],[],[[]]],[],[],[]] => [[],[[]],[[],[],[],[]]] => 3
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [[[],[],[[]]],[],[[]]] => [[],[[]],[[],[[]],[]]] => 4
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [[[],[],[[]]],[[]],[]] => [[],[[]],[[[]],[],[]]] => 4
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [[[],[],[[]]],[[],[]]] => [[],[[]],[[[],[]],[]]] => 4
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [[[],[],[[]]],[[[]]]] => [[],[[]],[[[[]]],[]]] => 4
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [[[],[[]],[]],[],[],[]] => [[[]],[],[[],[],[],[]]] => 3
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [[[],[[]],[]],[],[[]]] => [[[]],[],[[],[[]],[]]] => 4
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [[[],[[]],[]],[[]],[]] => [[[]],[],[[[]],[],[]]] => 4
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [[[],[[]],[]],[[],[]]] => [[[]],[],[[[],[]],[]]] => 4
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [[[],[[]],[]],[[[]]]] => [[[]],[],[[[[]]],[]]] => 4
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [[[[],[]],[]],[],[],[]] => [[],[[],[[],[],[],[]]]] => 3
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [[[[],[]],[]],[],[[]]] => [[],[[],[[],[[]],[]]]] => 4
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [[[[],[]],[]],[[]],[]] => [[],[[],[[[]],[],[]]]] => 4
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [[[[],[]],[]],[[],[]]] => [[],[[],[[[],[]],[]]]] => 4
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [[[[],[]],[]],[[[]]]] => [[],[[],[[[[]]],[]]]] => 4
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [[[[],[],[]]],[],[],[]] => [[],[],[[[],[],[],[]]]] => 2
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [[[[],[],[]]],[],[[]]] => [[],[],[[[],[[]],[]]]] => 3
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [[[[],[],[]]],[[]],[]] => [[],[],[[[[]],[],[]]]] => 3
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [[[[],[],[]]],[[],[]]] => [[],[],[[[[],[]],[]]]] => 3
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [[[[],[],[]]],[[[]]]] => [[],[],[[[[[]]],[]]]] => 3
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [[[[],[[]]]],[],[],[]] => [[[]],[[[],[],[],[]]]] => 2
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [[[[],[[]]]],[],[[]]] => [[[]],[[[],[[]],[]]]] => 3
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [[[[],[[]]]],[[]],[]] => [[[]],[[[[]],[],[]]]] => 3
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [[[[],[[]]]],[[],[]]] => [[[]],[[[[],[]],[]]]] => 3
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [[[[],[[]]]],[[[]]]] => [[[]],[[[[[]]],[]]]] => 3
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [[[[[],[]]]],[],[],[]] => [[],[[[[],[],[],[]]]]] => 2
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [[[[[],[]]]],[],[[]]] => [[],[[[[],[[]],[]]]]] => 3
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [[[[[],[]]]],[[]],[]] => [[],[[[[[]],[],[]]]]] => 3
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [[[[[],[]]]],[[],[]]] => [[],[[[[[],[]],[]]]]] => 3
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [[[[[],[]]]],[[[]]]] => [[],[[[[[[]]],[]]]]] => 3
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [[[],[],[],[],[]],[],[]] => [[],[],[],[],[[],[],[]]] => 2
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [[[],[],[],[],[]],[[]]] => [[],[],[],[],[[[]],[]]] => 3
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [[[],[],[],[[]]],[],[]] => [[],[],[[]],[[],[],[]]] => 3
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [[[],[],[],[[]]],[[]]] => [[],[],[[]],[[[]],[]]] => 4
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [[[],[],[[]],[]],[],[]] => [[],[[]],[],[[],[],[]]] => 3
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [[[],[],[[]],[]],[[]]] => [[],[[]],[],[[[]],[]]] => 4
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [[[],[],[[],[]]],[],[]] => [[],[[],[]],[[],[],[]]] => 3
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [[[],[],[[],[]]],[[]]] => [[],[[],[]],[[[]],[]]] => 4
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [[[],[],[[[]]]],[],[]] => [[],[[[]]],[[],[],[]]] => 3
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [[[],[],[[[]]]],[[]]] => [[],[[[]]],[[[]],[]]] => 4
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [[[],[[]],[],[]],[],[]] => [[[]],[],[],[[],[],[]]] => 3
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [[[],[[]],[],[]],[[]]] => [[[]],[],[],[[[]],[]]] => 4
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [[[],[[]],[[]]],[],[]] => [[[]],[[]],[[],[],[]]] => 3
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [[[],[[]],[[]]],[[]]] => [[[]],[[]],[[[]],[]]] => 4
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [[[[],[]],[],[]],[],[]] => [[],[[],[],[[],[],[]]]] => 3
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [[[[],[]],[],[]],[[]]] => [[],[[],[],[[[]],[]]]] => 4
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [[[[],[]],[[]]],[],[]] => [[],[[[]],[[],[],[]]]] => 3
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [[[[],[]],[[]]],[[]]] => [[],[[[]],[[[]],[]]]] => 4
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [[[[],[],[]],[]],[],[]] => [[],[],[[],[[],[],[]]]] => 3
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [[[[],[],[]],[]],[[]]] => [[],[],[[],[[[]],[]]]] => 4
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [[[[],[[]]],[]],[],[]] => [[[]],[[],[[],[],[]]]] => 3
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [[[[],[[]]],[]],[[]]] => [[[]],[[],[[[]],[]]]] => 4
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [[[[[],[]]],[]],[],[]] => [[],[[[],[[],[],[]]]]] => 3
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [[[[[],[]]],[]],[[]]] => [[],[[[],[[[]],[]]]]] => 4
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [[[[],[],[],[]]],[],[]] => [[],[],[],[[[],[],[]]]] => 2
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [[[[],[],[],[]]],[[]]] => [[],[],[],[[[[]],[]]]] => 3
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [[[[],[],[[]]]],[],[]] => [[],[[]],[[[],[],[]]]] => 3
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [[[[],[],[[]]]],[[]]] => [[],[[]],[[[[]],[]]]] => 4
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [[[[],[[]],[]]],[],[]] => [[[]],[],[[[],[],[]]]] => 3
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [[[[],[[]],[]]],[[]]] => [[[]],[],[[[[]],[]]]] => 4
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [[[[[],[]],[]]],[],[]] => [[],[[],[[[],[],[]]]]] => 3
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [[[[[],[]],[]]],[[]]] => [[],[[],[[[[]],[]]]]] => 4
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [[[[[],[],[]]]],[],[]] => [[],[],[[[[],[],[]]]]] => 2
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [[[[[],[],[]]]],[[]]] => [[],[],[[[[[]],[]]]]] => 3
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [[[[[],[[]]]]],[],[]] => [[[]],[[[[],[],[]]]]] => 2
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [[[[[],[[]]]]],[[]]] => [[[]],[[[[[]],[]]]]] => 3
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [[[[[[],[]]]]],[],[]] => [[],[[[[[],[],[]]]]]] => 2
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [[[[[[],[]]]]],[[]]] => [[],[[[[[[]],[]]]]]] => 3
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [[[],[],[],[],[],[]],[]] => [[],[],[],[],[],[[],[]]] => 2
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [[[],[],[],[],[[]]],[]] => [[],[],[],[[]],[[],[]]] => 3
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [[[],[],[],[[]],[]],[]] => [[],[],[[]],[],[[],[]]] => 3
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [[[],[],[],[[],[]]],[]] => [[],[],[[],[]],[[],[]]] => 3
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [[[],[],[],[[[]]]],[]] => [[],[],[[[]]],[[],[]]] => 3
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [[[],[],[[]],[],[]],[]] => [[],[[]],[],[],[[],[]]] => 3
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [[[],[],[[]],[[]]],[]] => [[],[[]],[[]],[[],[]]] => 4
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [[[],[],[[],[]],[]],[]] => [[],[[],[]],[],[[],[]]] => 3
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [[[],[],[[[]]],[]],[]] => [[],[[[]]],[],[[],[]]] => 3
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [[[],[],[[],[],[]]],[]] => [[],[[],[],[]],[[],[]]] => 3
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [[[],[],[[],[[]]]],[]] => [[],[[],[[]]],[[],[]]] => 4
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [[[],[],[[[]],[]]],[]] => [[],[[[]],[]],[[],[]]] => 4
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [[[],[],[[[],[]]]],[]] => [[],[[[],[]]],[[],[]]] => 3
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [[[],[],[[[[]]]]],[]] => [[],[[[[]]]],[[],[]]] => 3
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [[[],[[]],[],[],[]],[]] => [[[]],[],[],[],[[],[]]] => 3
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [[[],[[]],[],[[]]],[]] => [[[]],[],[[]],[[],[]]] => 4
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [[[],[[]],[[]],[]],[]] => [[[]],[[]],[],[[],[]]] => 4
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [[[],[[]],[[],[]]],[]] => [[[]],[[],[]],[[],[]]] => 3
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [[[],[[]],[[[]]]],[]] => [[[]],[[[]]],[[],[]]] => 3
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [[[],[[],[]],[],[]],[]] => [[[],[]],[],[],[[],[]]] => 3
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [[[],[[[]]],[],[]],[]] => [[[[]]],[],[],[[],[]]] => 3
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [[[[],[]],[],[],[]],[]] => [[],[[],[],[],[[],[]]]] => 3
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [[[[],[]],[],[[]]],[]] => [[],[[],[[]],[[],[]]]] => 4
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[[[],[]],[[]],[]],[]] => [[],[[[]],[],[[],[]]]] => 4
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[],[]],[[],[]]],[]] => [[],[[[],[]],[[],[]]]] => 3
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [[[[],[]],[[[]]]],[]] => [[],[[[[]]],[[],[]]]] => 3
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [[[[],[],[]],[],[]],[]] => [[],[],[[],[],[[],[]]]] => 3
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [[[[],[],[]],[[]]],[]] => [[],[],[[[]],[[],[]]]] => 3
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [[[[],[[]]],[],[]],[]] => [[[]],[[],[],[[],[]]]] => 3
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [[[[],[[]]],[[]]],[]] => [[[]],[[[]],[[],[]]]] => 3
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [[[[[],[]]],[],[]],[]] => [[],[[[],[],[[],[]]]]] => 3
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [[[[[],[]]],[[]]],[]] => [[],[[[[]],[[],[]]]]] => 3
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [[[[],[],[],[]],[]],[]] => [[],[],[],[[],[[],[]]]] => 3
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [[[[],[],[[]]],[]],[]] => [[],[[]],[[],[[],[]]]] => 4
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [[[[],[[]],[]],[]],[]] => [[[]],[],[[],[[],[]]]] => 4
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[],[]],[]],[]],[]] => [[],[[],[[],[[],[]]]]] => 4
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [[[[[],[],[]]],[]],[]] => [[],[],[[[],[[],[]]]]] => 3
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [[[[[],[[]]]],[]],[]] => [[[]],[[[],[[],[]]]]] => 3
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [[[[[[],[]]]],[]],[]] => [[],[[[[],[[],[]]]]]] => 3
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [[[[],[],[],[],[]]],[]] => [[],[],[],[],[[[],[]]]] => 2
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [[[[],[],[],[[]]]],[]] => [[],[],[[]],[[[],[]]]] => 3
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [[[[],[],[[]],[]]],[]] => [[],[[]],[],[[[],[]]]] => 3
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [[[[],[],[[],[]]]],[]] => [[],[[],[]],[[[],[]]]] => 3
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [[[[],[],[[[]]]]],[]] => [[],[[[]]],[[[],[]]]] => 3
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [[[[],[[]],[],[]]],[]] => [[[]],[],[],[[[],[]]]] => 3
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [[[[],[[]],[[]]]],[]] => [[[]],[[]],[[[],[]]]] => 3
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [[[[[],[]],[],[]]],[]] => [[],[[],[],[[[],[]]]]] => 3
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [[[[[],[]],[[]]]],[]] => [[],[[[]],[[[],[]]]]] => 3
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [[[[[],[],[]],[]]],[]] => [[],[],[[],[[[],[]]]]] => 3
[[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [[[[[],[[]]],[]]],[]] => [[[]],[[],[[[],[]]]]] => 3
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [[[[[[],[]]],[]]],[]] => [[],[[[],[[[],[]]]]]] => 3
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [[[[[],[],[],[]]]],[]] => [[],[],[],[[[[],[]]]]] => 2
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [[[[[],[],[[]]]]],[]] => [[],[[]],[[[[],[]]]]] => 3
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [[[[[],[[]],[]]]],[]] => [[[]],[],[[[[],[]]]]] => 3
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [[[[[[],[]],[]]]],[]] => [[],[[],[[[[],[]]]]]] => 3
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [[[[[[],[],[]]]]],[]] => [[],[],[[[[[],[]]]]]] => 2
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [[[[[[],[[]]]]]],[]] => [[[]],[[[[[],[]]]]]] => 2
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[[[[[[],[]]]]]],[]] => [[],[[[[[[],[]]]]]]] => 2
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[[],[],[],[],[],[],[]]] => [[],[],[],[],[],[],[[]]] => 2
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [[[],[],[],[],[],[[]]]] => [[],[],[],[],[[]],[[]]] => 3
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [[[],[],[],[],[[]],[]]] => [[],[],[],[[]],[],[[]]] => 3
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [[[],[],[],[],[[],[]]]] => [[],[],[],[[],[]],[[]]] => 3
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [[[],[],[],[],[[[]]]]] => [[],[],[],[[[]]],[[]]] => 3
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [[[],[],[],[[]],[],[]]] => [[],[],[[]],[],[],[[]]] => 3
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [[[],[],[],[[]],[[]]]] => [[],[],[[]],[[]],[[]]] => 4
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [[[],[],[],[[],[]],[]]] => [[],[],[[],[]],[],[[]]] => 3
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [[[],[],[],[[[]]],[]]] => [[],[],[[[]]],[],[[]]] => 3
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [[[],[],[],[[],[],[]]]] => [[],[],[[],[],[]],[[]]] => 3
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [[[],[],[],[[],[[]]]]] => [[],[],[[],[[]]],[[]]] => 4
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [[[],[],[],[[[]],[]]]] => [[],[],[[[]],[]],[[]]] => 4
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [[[],[],[],[[[],[]]]]] => [[],[],[[[],[]]],[[]]] => 3
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [[[],[],[],[[[[]]]]]] => [[],[],[[[[]]]],[[]]] => 3
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [[[],[],[[]],[],[],[]]] => [[],[[]],[],[],[],[[]]] => 3
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [[[],[],[[]],[],[[]]]] => [[],[[]],[],[[]],[[]]] => 4
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [[[],[],[[]],[[]],[]]] => [[],[[]],[[]],[],[[]]] => 4
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [[[],[],[[]],[[],[]]]] => [[],[[]],[[],[]],[[]]] => 4
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [[[],[],[[]],[[[]]]]] => [[],[[]],[[[]]],[[]]] => 4
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [[[],[],[[],[]],[],[]]] => [[],[[],[]],[],[],[[]]] => 3
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [[[],[],[[],[]],[[]]]] => [[],[[],[]],[[]],[[]]] => 4
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [[[],[],[[[]]],[],[]]] => [[],[[[]]],[],[],[[]]] => 3
[[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [[[],[],[[[]]],[[]]]] => [[],[[[]]],[[]],[[]]] => 4
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [[[],[],[[],[],[]],[]]] => [[],[[],[],[]],[],[[]]] => 3
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [[[],[],[[],[[]]],[]]] => [[],[[],[[]]],[],[[]]] => 4
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [[[],[],[[[]],[]],[]]] => [[],[[[]],[]],[],[[]]] => 4
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [[[],[],[[[],[]]],[]]] => [[],[[[],[]]],[],[[]]] => 3
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [[[],[],[[[[]]]],[]]] => [[],[[[[]]]],[],[[]]] => 3
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [[[],[],[[],[],[],[]]]] => [[],[[],[],[],[]],[[]]] => 3
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [[[],[],[[],[],[[]]]]] => [[],[[],[],[[]]],[[]]] => 4
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [[[],[],[[],[[]],[]]]] => [[],[[],[[]],[]],[[]]] => 4
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [[[],[],[[],[[],[]]]]] => [[],[[],[[],[]]],[[]]] => 4
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [[[],[],[[],[[[]]]]]] => [[],[[],[[[]]]],[[]]] => 4
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [[[],[],[[[]],[],[]]]] => [[],[[[]],[],[]],[[]]] => 4
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [[[],[],[[[]],[[]]]]] => [[],[[[]],[[]]],[[]]] => 4
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [[[],[],[[[],[]],[]]]] => [[],[[[],[]],[]],[[]]] => 4
[[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [[[],[],[[[[]]],[]]]] => [[],[[[[]]],[]],[[]]] => 4
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [[[],[],[[[],[],[]]]]] => [[],[[[],[],[]]],[[]]] => 3
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [[[],[],[[[],[[]]]]]] => [[],[[[],[[]]]],[[]]] => 4
[[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [[[],[],[[[[]],[]]]]] => [[],[[[[]],[]]],[[]]] => 4
[[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [[[],[],[[[[],[]]]]]] => [[],[[[[],[]]]],[[]]] => 3
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [[[],[],[[[[[]]]]]]] => [[],[[[[[]]]]],[[]]] => 3
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [[[],[[]],[],[],[],[]]] => [[[]],[],[],[],[],[[]]] => 3
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [[[],[[]],[],[],[[]]]] => [[[]],[],[],[[]],[[]]] => 4
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [[[],[[]],[],[[]],[]]] => [[[]],[],[[]],[],[[]]] => 4
[[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [[[],[[]],[],[[],[]]]] => [[[]],[],[[],[]],[[]]] => 4
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [[[],[[]],[],[[[]]]]] => [[[]],[],[[[]]],[[]]] => 4
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [[[],[[]],[[]],[],[]]] => [[[]],[[]],[],[],[[]]] => 4
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [[[],[[]],[[]],[[]]]] => [[[]],[[]],[[]],[[]]] => 4
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [[[],[[]],[[],[]],[]]] => [[[]],[[],[]],[],[[]]] => 4
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [[[],[[]],[[[]]],[]]] => [[[]],[[[]]],[],[[]]] => 4
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [[[],[[]],[[],[],[]]]] => [[[]],[[],[],[]],[[]]] => 3
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [[[],[[]],[[],[[]]]]] => [[[]],[[],[[]]],[[]]] => 4
[[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [[[],[[]],[[[]],[]]]] => [[[]],[[[]],[]],[[]]] => 4
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [[[],[[]],[[[],[]]]]] => [[[]],[[[],[]]],[[]]] => 3
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [[[],[[]],[[[[]]]]]] => [[[]],[[[[]]]],[[]]] => 3
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [[[],[[],[]],[],[],[]]] => [[[],[]],[],[],[],[[]]] => 3
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [[[],[[],[]],[],[[]]]] => [[[],[]],[],[[]],[[]]] => 4
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [[[],[[[]]],[],[],[]]] => [[[[]]],[],[],[],[[]]] => 3
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [[[],[[[]]],[],[[]]]] => [[[[]]],[],[[]],[[]]] => 4
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [[[[],[]],[],[],[],[]]] => [[],[[],[],[],[],[[]]]] => 3
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [[[[],[]],[],[],[[]]]] => [[],[[],[],[[]],[[]]]] => 4
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [[[[],[]],[],[[]],[]]] => [[],[[],[[]],[],[[]]]] => 4
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [[[[],[]],[],[[],[]]]] => [[],[[],[[],[]],[[]]]] => 4
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [[[[],[]],[],[[[]]]]] => [[],[[],[[[]]],[[]]]] => 4
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [[[[],[]],[[]],[],[]]] => [[],[[[]],[],[],[[]]]] => 4
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [[[[],[]],[[]],[[]]]] => [[],[[[]],[[]],[[]]]] => 4
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [[[[],[]],[[],[]],[]]] => [[],[[[],[]],[],[[]]]] => 4
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [[[[],[]],[[[]]],[]]] => [[],[[[[]]],[],[[]]]] => 4
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [[[[],[]],[[],[],[]]]] => [[],[[[],[],[]],[[]]]] => 3
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [[[[],[]],[[],[[]]]]] => [[],[[[],[[]]],[[]]]] => 4
[[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [[[[],[]],[[[]],[]]]] => [[],[[[[]],[]],[[]]]] => 4
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [[[[],[]],[[[],[]]]]] => [[],[[[[],[]]],[[]]]] => 3
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [[[[],[]],[[[[]]]]]] => [[],[[[[[]]]],[[]]]] => 3
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [[[[],[],[]],[],[],[]]] => [[],[],[[],[],[],[[]]]] => 3
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [[[[],[],[]],[],[[]]]] => [[],[],[[],[[]],[[]]]] => 4
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [[[[],[],[]],[[]],[]]] => [[],[],[[[]],[],[[]]]] => 4
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [[[[],[],[]],[[],[]]]] => [[],[],[[[],[]],[[]]]] => 3
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [[[[],[],[]],[[[]]]]] => [[],[],[[[[]]],[[]]]] => 3
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [[[[],[[]]],[],[],[]]] => [[[]],[[],[],[],[[]]]] => 3
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [[[[],[[]]],[],[[]]]] => [[[]],[[],[[]],[[]]]] => 4
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [[[[],[[]]],[[]],[]]] => [[[]],[[[]],[],[[]]]] => 4
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [[[[],[[]]],[[],[]]]] => [[[]],[[[],[]],[[]]]] => 3
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [[[[],[[]]],[[[]]]]] => [[[]],[[[[]]],[[]]]] => 3
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [[[[[],[]]],[],[],[]]] => [[],[[[],[],[],[[]]]]] => 3
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [[[[[],[]]],[],[[]]]] => [[],[[[],[[]],[[]]]]] => 4
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [[[[[],[]]],[[]],[]]] => [[],[[[[]],[],[[]]]]] => 4
[[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [[[[[],[]]],[[],[]]]] => [[],[[[[],[]],[[]]]]] => 3
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [[[[[],[]]],[[[]]]]] => [[],[[[[[]]],[[]]]]] => 3
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [[[[],[],[],[]],[],[]]] => [[],[],[],[[],[],[[]]]] => 3
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [[[[],[],[],[]],[[]]]] => [[],[],[],[[[]],[[]]]] => 3
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [[[[],[],[[]]],[],[]]] => [[],[[]],[[],[],[[]]]] => 4
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [[[[],[],[[]]],[[]]]] => [[],[[]],[[[]],[[]]]] => 4
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [[[[],[[]],[]],[],[]]] => [[[]],[],[[],[],[[]]]] => 4
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [[[[],[[]],[]],[[]]]] => [[[]],[],[[[]],[[]]]] => 4
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [[[[[],[]],[]],[],[]]] => [[],[[],[[],[],[[]]]]] => 4
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [[[[[],[]],[]],[[]]]] => [[],[[],[[[]],[[]]]]] => 4
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [[[[[],[],[]]],[],[]]] => [[],[],[[[],[],[[]]]]] => 3
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [[[[[],[],[]]],[[]]]] => [[],[],[[[[]],[[]]]]] => 3
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [[[[[],[[]]]],[],[]]] => [[[]],[[[],[],[[]]]]] => 3
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [[[[[],[[]]]],[[]]]] => [[[]],[[[[]],[[]]]]] => 3
[[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [[[[[[],[]]]],[],[]]] => [[],[[[[],[],[[]]]]]] => 3
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [[[[[[],[]]]],[[]]]] => [[],[[[[[]],[[]]]]]] => 3
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [[[[],[],[],[],[]],[]]] => [[],[],[],[],[[],[[]]]] => 3
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [[[[],[],[],[[]]],[]]] => [[],[],[[]],[[],[[]]]] => 4
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [[[[],[],[[]],[]],[]]] => [[],[[]],[],[[],[[]]]] => 4
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [[[[],[],[[],[]]],[]]] => [[],[[],[]],[[],[[]]]] => 4
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [[[[],[],[[[]]]],[]]] => [[],[[[]]],[[],[[]]]] => 4
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [[[[],[[]],[],[]],[]]] => [[[]],[],[],[[],[[]]]] => 4
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [[[[],[[]],[[]]],[]]] => [[[]],[[]],[[],[[]]]] => 4
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [[[[[],[]],[],[]],[]]] => [[],[[],[],[[],[[]]]]] => 4
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [[[[[],[]],[[]]],[]]] => [[],[[[]],[[],[[]]]]] => 4
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [[[[[],[],[]],[]],[]]] => [[],[],[[],[[],[[]]]]] => 4
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [[[[[],[[]]],[]],[]]] => [[[]],[[],[[],[[]]]]] => 4
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [[[[[[],[]]],[]],[]]] => [[],[[[],[[],[[]]]]]] => 4
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [[[[[],[],[],[]]],[]]] => [[],[],[],[[[],[[]]]]] => 3
[[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [[[[[],[],[[]]]],[]]] => [[],[[]],[[[],[[]]]]] => 4
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [[[[[],[[]],[]]],[]]] => [[[]],[],[[[],[[]]]]] => 4
[[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [[[[[[],[]],[]]],[]]] => [[],[[],[[[],[[]]]]]] => 4
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [[[[[[],[],[]]]],[]]] => [[],[],[[[[],[[]]]]]] => 3
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [[[[[[],[[]]]]],[]]] => [[[]],[[[[],[[]]]]]] => 3
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [[[[[[[],[]]]]],[]]] => [[],[[[[[],[[]]]]]]] => 3
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [[[[],[],[],[],[],[]]]] => [[],[],[],[],[],[[[]]]] => 2
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [[[[],[],[],[],[[]]]]] => [[],[],[],[[]],[[[]]]] => 3
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [[[[],[],[],[[]],[]]]] => [[],[],[[]],[],[[[]]]] => 3
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [[[[],[],[],[[],[]]]]] => [[],[],[[],[]],[[[]]]] => 3
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [[[[],[],[],[[[]]]]]] => [[],[],[[[]]],[[[]]]] => 3
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [[[[],[],[[]],[],[]]]] => [[],[[]],[],[],[[[]]]] => 3
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [[[[],[],[[]],[[]]]]] => [[],[[]],[[]],[[[]]]] => 4
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [[[[],[],[[],[]],[]]]] => [[],[[],[]],[],[[[]]]] => 3
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [[[[],[],[[[]]],[]]]] => [[],[[[]]],[],[[[]]]] => 3
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [[[[],[],[[],[],[]]]]] => [[],[[],[],[]],[[[]]]] => 3
[[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [[[[],[],[[],[[]]]]]] => [[],[[],[[]]],[[[]]]] => 4
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [[[[],[],[[[]],[]]]]] => [[],[[[]],[]],[[[]]]] => 4
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [[[[],[],[[[],[]]]]]] => [[],[[[],[]]],[[[]]]] => 3
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [[[[],[],[[[[]]]]]]] => [[],[[[[]]]],[[[]]]] => 3
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [[[[],[[]],[],[],[]]]] => [[[]],[],[],[],[[[]]]] => 3
[[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [[[[],[[]],[],[[]]]]] => [[[]],[],[[]],[[[]]]] => 4
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [[[[],[[]],[[]],[]]]] => [[[]],[[]],[],[[[]]]] => 4
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [[[[],[[]],[[],[]]]]] => [[[]],[[],[]],[[[]]]] => 3
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [[[[],[[]],[[[]]]]]] => [[[]],[[[]]],[[[]]]] => 3
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [[[[],[[],[]],[],[]]]] => [[[],[]],[],[],[[[]]]] => 3
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [[[[],[[[]]],[],[]]]] => [[[[]]],[],[],[[[]]]] => 3
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [[[[[],[]],[],[],[]]]] => [[],[[],[],[],[[[]]]]] => 3
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [[[[[],[]],[],[[]]]]] => [[],[[],[[]],[[[]]]]] => 4
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [[[[[],[]],[[]],[]]]] => [[],[[[]],[],[[[]]]]] => 4
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [[[[[],[]],[[],[]]]]] => [[],[[[],[]],[[[]]]]] => 3
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [[[[[],[]],[[[]]]]]] => [[],[[[[]]],[[[]]]]] => 3
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [[[[[],[],[]],[],[]]]] => [[],[],[[],[],[[[]]]]] => 3
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [[[[[],[],[]],[[]]]]] => [[],[],[[[]],[[[]]]]] => 3
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [[[[[],[[]]],[],[]]]] => [[[]],[[],[],[[[]]]]] => 3
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [[[[[],[[]]],[[]]]]] => [[[]],[[[]],[[[]]]]] => 3
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [[[[[[],[]]],[],[]]]] => [[],[[[],[],[[[]]]]]] => 3
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [[[[[[],[]]],[[]]]]] => [[],[[[[]],[[[]]]]]] => 3
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [[[[[],[],[],[]],[]]]] => [[],[],[],[[],[[[]]]]] => 3
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [[[[[],[],[[]]],[]]]] => [[],[[]],[[],[[[]]]]] => 4
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [[[[[],[[]],[]],[]]]] => [[[]],[],[[],[[[]]]]] => 4
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [[[[[[],[]],[]],[]]]] => [[],[[],[[],[[[]]]]]] => 4
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [[[[[[],[],[]]],[]]]] => [[],[],[[[],[[[]]]]]] => 3
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [[[[[[],[[]]]],[]]]] => [[[]],[[[],[[[]]]]]] => 3
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [[[[[[[],[]]]],[]]]] => [[],[[[[],[[[]]]]]]] => 3
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [[[[[],[],[],[],[]]]]] => [[],[],[],[],[[[[]]]]] => 2
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [[[[[],[],[],[[]]]]]] => [[],[],[[]],[[[[]]]]] => 3
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [[[[[],[],[[]],[]]]]] => [[],[[]],[],[[[[]]]]] => 3
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [[[[[],[],[[],[]]]]]] => [[],[[],[]],[[[[]]]]] => 3
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [[[[[],[],[[[]]]]]]] => [[],[[[]]],[[[[]]]]] => 3
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [[[[[],[[]],[],[]]]]] => [[[]],[],[],[[[[]]]]] => 3
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [[[[[],[[]],[[]]]]]] => [[[]],[[]],[[[[]]]]] => 3
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [[[[[[],[]],[],[]]]]] => [[],[[],[],[[[[]]]]]] => 3
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [[[[[[],[]],[[]]]]]] => [[],[[[]],[[[[]]]]]] => 3
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [[[[[[],[],[]],[]]]]] => [[],[],[[],[[[[]]]]]] => 3
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [[[[[[],[[]]],[]]]]] => [[[]],[[],[[[[]]]]]] => 3
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [[[[[[[],[]]],[]]]]] => [[],[[[],[[[[]]]]]]] => 3
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [[[[[[],[],[],[]]]]]] => [[],[],[],[[[[[]]]]]] => 2
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [[[[[[],[],[[]]]]]]] => [[],[[]],[[[[[]]]]]] => 3
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [[[[[[],[[]],[]]]]]] => [[[]],[],[[[[[]]]]]] => 3
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [[[[[[[],[]],[]]]]]] => [[],[[],[[[[[]]]]]]] => 3
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [[[[[[[],[],[]]]]]]] => [[],[],[[[[[[]]]]]]] => 2
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [[[[[[[],[[]]]]]]]] => [[[]],[[[[[[]]]]]]] => 2
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [[[[[[[[],[]]]]]]]] => [[],[[[[[[[]]]]]]]] => 2
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searching the database for the individual values of this statistic
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searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
3,2 4,10 5,30,7 6,70,56 7,140,252,30
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 3\ q + 2\ q^{2}$
$F_{4} = 4\ q + 10\ q^{2}$
$F_{5} = 5\ q + 30\ q^{2} + 7\ q^{3}$
$F_{6} = 6\ q + 70\ q^{2} + 56\ q^{3}$
$F_{7} = 7\ q + 140\ q^{2} + 252\ q^{3} + 30\ q^{4}$
Description
The number of 1-protected nodes of a rooted tree.
This is the number of nodes with minimal distance one to a leaf.
This is the number of nodes with minimal distance one to a leaf.
Map
rotate
Description
The rotation of an ordered tree.
Let $T$ be a rooted ordered tree with root $r$ and left most leaf $\ell$. It's rotation is obtained by attaching a leaf to $r$, removing the leaf $\ell$ and letting the vertex attached to $\ell$ be the new root.
By duality, this operation corresponds to rotation of polygon dissections.
Let $T$ be a rooted ordered tree with root $r$ and left most leaf $\ell$. It's rotation is obtained by attaching a leaf to $r$, removing the leaf $\ell$ and letting the vertex attached to $\ell$ be the new root.
By duality, this operation corresponds to rotation of polygon dissections.
Map
to ordered tree: right child = right brother
Description
Return an ordered tree of size $n+1$ by the following recursive rule:
- if $x$ is the right child of $y$, $x$ becomes the right brother of $y$,
- if $x$ is the left child of $y$, $x$ becomes the first child of $y$.
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