Identifier
-
Mp00139:
Ordered trees
—Zeilberger's Strahler bijection⟶
Binary trees
Mp00015: Binary trees —to ordered tree: right child = right brother⟶ Ordered trees
St000400: Ordered trees ⟶ ℤ
Values
[[]] => [.,.] => [[]] => 1
[[],[]] => [.,[.,.]] => [[],[]] => 2
[[[]]] => [[.,.],.] => [[[]]] => 3
[[],[],[]] => [.,[.,[.,.]]] => [[],[],[]] => 3
[[],[[]]] => [.,[[.,.],.]] => [[],[[]]] => 4
[[[]],[]] => [[.,[.,.]],.] => [[[],[]]] => 5
[[[],[]]] => [[.,.],[.,.]] => [[[]],[]] => 4
[[[[]]]] => [[[.,.],.],.] => [[[[]]]] => 6
[[],[],[],[]] => [.,[.,[.,[.,.]]]] => [[],[],[],[]] => 4
[[],[],[[]]] => [.,[.,[[.,.],.]]] => [[],[],[[]]] => 5
[[],[[]],[]] => [.,[[.,[.,.]],.]] => [[],[[],[]]] => 6
[[],[[],[]]] => [.,[[.,.],[.,.]]] => [[],[[]],[]] => 5
[[],[[[]]]] => [.,[[[.,.],.],.]] => [[],[[[]]]] => 7
[[[]],[],[]] => [[.,[.,[.,.]]],.] => [[[],[],[]]] => 7
[[[]],[[]]] => [[.,[[.,.],.]],.] => [[[],[[]]]] => 8
[[[],[]],[]] => [[.,[.,.]],[.,.]] => [[[],[]],[]] => 6
[[[[]]],[]] => [[[.,[.,.]],.],.] => [[[[],[]]]] => 9
[[[],[],[]]] => [[.,.],[.,[.,.]]] => [[[]],[],[]] => 5
[[[],[[]]]] => [[.,.],[[.,.],.]] => [[[]],[[]]] => 6
[[[[]],[]]] => [[[.,.],.],[.,.]] => [[[[]]],[]] => 7
[[[[],[]]]] => [[[.,.],[.,.]],.] => [[[[]],[]]] => 8
[[[[[]]]]] => [[[[.,.],.],.],.] => [[[[[]]]]] => 10
[[],[],[],[],[]] => [.,[.,[.,[.,[.,.]]]]] => [[],[],[],[],[]] => 5
[[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [[],[],[],[[]]] => 6
[[],[],[[]],[]] => [.,[.,[[.,[.,.]],.]]] => [[],[],[[],[]]] => 7
[[],[],[[],[]]] => [.,[.,[[.,.],[.,.]]]] => [[],[],[[]],[]] => 6
[[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [[],[],[[[]]]] => 8
[[],[[]],[],[]] => [.,[[.,[.,[.,.]]],.]] => [[],[[],[],[]]] => 8
[[],[[]],[[]]] => [.,[[.,[[.,.],.]],.]] => [[],[[],[[]]]] => 9
[[],[[],[]],[]] => [.,[[.,[.,.]],[.,.]]] => [[],[[],[]],[]] => 7
[[],[[[]]],[]] => [.,[[[.,[.,.]],.],.]] => [[],[[[],[]]]] => 10
[[],[[],[],[]]] => [.,[[.,.],[.,[.,.]]]] => [[],[[]],[],[]] => 6
[[],[[],[[]]]] => [.,[[.,.],[[.,.],.]]] => [[],[[]],[[]]] => 7
[[],[[[]],[]]] => [.,[[[.,.],.],[.,.]]] => [[],[[[]]],[]] => 8
[[],[[[],[]]]] => [.,[[[.,.],[.,.]],.]] => [[],[[[]],[]]] => 9
[[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [[],[[[[]]]]] => 11
[[[]],[],[],[]] => [[.,[.,[.,[.,.]]]],.] => [[[],[],[],[]]] => 9
[[[]],[],[[]]] => [[.,[.,[[.,.],.]]],.] => [[[],[],[[]]]] => 10
[[[]],[[]],[]] => [[.,[[.,[.,.]],.]],.] => [[[],[[],[]]]] => 11
[[[]],[[],[]]] => [[.,.],[[.,.],[.,.]]] => [[[]],[[]],[]] => 7
[[[]],[[[]]]] => [[.,[[[.,.],.],.]],.] => [[[],[[[]]]]] => 12
[[[],[]],[],[]] => [[.,[.,.]],[.,[.,.]]] => [[[],[]],[],[]] => 7
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [[[[],[],[]]]] => 12
[[[],[]],[[]]] => [[.,[.,.]],[[.,.],.]] => [[[],[]],[[]]] => 8
[[[[]]],[[]]] => [[[.,[[.,.],.]],.],.] => [[[[],[[]]]]] => 13
[[[],[],[]],[]] => [[.,[.,[.,.]]],[.,.]] => [[[],[],[]],[]] => 8
[[[],[[]]],[]] => [[.,[[.,.],.]],[.,.]] => [[[],[[]]],[]] => 9
[[[[]],[]],[]] => [[[.,[.,.]],.],[.,.]] => [[[[],[]]],[]] => 10
[[[[],[]]],[]] => [[[.,[.,.]],[.,.]],.] => [[[[],[]],[]]] => 11
[[[[[]]]],[]] => [[[[.,[.,.]],.],.],.] => [[[[[],[]]]]] => 14
[[[],[],[],[]]] => [[.,.],[.,[.,[.,.]]]] => [[[]],[],[],[]] => 6
[[[],[],[[]]]] => [[.,.],[.,[[.,.],.]]] => [[[]],[],[[]]] => 7
[[[],[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [[[]],[[],[]]] => 8
[[[],[[],[]]]] => [[.,[[.,.],[.,.]]],.] => [[[],[[]],[]]] => 10
[[[],[[[]]]]] => [[.,.],[[[.,.],.],.]] => [[[]],[[[]]]] => 9
[[[[]],[],[]]] => [[[.,.],.],[.,[.,.]]] => [[[[]]],[],[]] => 8
[[[[]],[[]]]] => [[[.,.],.],[[.,.],.]] => [[[[]]],[[]]] => 9
[[[[],[]],[]]] => [[[.,.],[.,.]],[.,.]] => [[[[]],[]],[]] => 9
[[[[[]]],[]]] => [[[[.,.],.],.],[.,.]] => [[[[[]]]],[]] => 11
[[[[],[],[]]]] => [[[.,.],[.,[.,.]]],.] => [[[[]],[],[]]] => 10
[[[[],[[]]]]] => [[[.,.],[[.,.],.]],.] => [[[[]],[[]]]] => 11
[[[[[]],[]]]] => [[[[.,.],.],[.,.]],.] => [[[[[]]],[]]] => 12
[[[[[],[]]]]] => [[[[.,.],[.,.]],.],.] => [[[[[]],[]]]] => 13
[[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [[[[[[]]]]]] => 15
[[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [[],[],[],[],[],[]] => 6
[[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [[],[],[],[],[[]]] => 7
[[],[],[],[[]],[]] => [.,[.,[.,[[.,[.,.]],.]]]] => [[],[],[],[[],[]]] => 8
[[],[],[],[[],[]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [[],[],[],[[]],[]] => 7
[[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [[],[],[],[[[]]]] => 9
[[],[],[[]],[],[]] => [.,[.,[[.,[.,[.,.]]],.]]] => [[],[],[[],[],[]]] => 9
[[],[],[[]],[[]]] => [.,[.,[[.,[[.,.],.]],.]]] => [[],[],[[],[[]]]] => 10
[[],[],[[],[]],[]] => [.,[.,[[.,[.,.]],[.,.]]]] => [[],[],[[],[]],[]] => 8
[[],[],[[[]]],[]] => [.,[.,[[[.,[.,.]],.],.]]] => [[],[],[[[],[]]]] => 11
[[],[],[[],[],[]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [[],[],[[]],[],[]] => 7
[[],[],[[],[[]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [[],[],[[]],[[]]] => 8
[[],[],[[[]],[]]] => [.,[.,[[[.,.],.],[.,.]]]] => [[],[],[[[]]],[]] => 9
[[],[],[[[],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [[],[],[[[]],[]]] => 10
[[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [[],[],[[[[]]]]] => 12
[[],[[]],[],[],[]] => [.,[[.,[.,[.,[.,.]]]],.]] => [[],[[],[],[],[]]] => 10
[[],[[]],[],[[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [[],[[],[],[[]]]] => 11
[[],[[]],[[]],[]] => [.,[[.,[[.,[.,.]],.]],.]] => [[],[[],[[],[]]]] => 12
[[],[[]],[[],[]]] => [.,[[.,.],[[.,.],[.,.]]]] => [[],[[]],[[]],[]] => 8
[[],[[]],[[[]]]] => [.,[[.,[[[.,.],.],.]],.]] => [[],[[],[[[]]]]] => 13
[[],[[],[]],[],[]] => [.,[[.,[.,.]],[.,[.,.]]]] => [[],[[],[]],[],[]] => 8
[[],[[[]]],[],[]] => [.,[[[.,[.,[.,.]]],.],.]] => [[],[[[],[],[]]]] => 13
[[],[[],[]],[[]]] => [.,[[.,[.,.]],[[.,.],.]]] => [[],[[],[]],[[]]] => 9
[[],[[[]]],[[]]] => [.,[[[.,[[.,.],.]],.],.]] => [[],[[[],[[]]]]] => 14
[[],[[],[],[]],[]] => [.,[[.,[.,[.,.]]],[.,.]]] => [[],[[],[],[]],[]] => 9
[[],[[],[[]]],[]] => [.,[[.,[[.,.],.]],[.,.]]] => [[],[[],[[]]],[]] => 10
[[],[[[]],[]],[]] => [.,[[[.,[.,.]],.],[.,.]]] => [[],[[[],[]]],[]] => 11
[[],[[[],[]]],[]] => [.,[[[.,[.,.]],[.,.]],.]] => [[],[[[],[]],[]]] => 12
[[],[[[[]]]],[]] => [.,[[[[.,[.,.]],.],.],.]] => [[],[[[[],[]]]]] => 15
[[],[[],[],[],[]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [[],[[]],[],[],[]] => 7
[[],[[],[],[[]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [[],[[]],[],[[]]] => 8
[[],[[],[[]],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [[],[[]],[[],[]]] => 9
[[],[[],[[],[]]]] => [.,[[.,[[.,.],[.,.]]],.]] => [[],[[],[[]],[]]] => 11
[[],[[],[[[]]]]] => [.,[[.,.],[[[.,.],.],.]]] => [[],[[]],[[[]]]] => 10
[[],[[[]],[],[]]] => [.,[[[.,.],.],[.,[.,.]]]] => [[],[[[]]],[],[]] => 9
[[],[[[]],[[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [[],[[[]]],[[]]] => 10
[[],[[[],[]],[]]] => [.,[[[.,.],[.,.]],[.,.]]] => [[],[[[]],[]],[]] => 10
[[],[[[[]]],[]]] => [.,[[[[.,.],.],.],[.,.]]] => [[],[[[[]]]],[]] => 12
>>> Load all 1200 entries. <<<[[],[[[],[],[]]]] => [.,[[[.,.],[.,[.,.]]],.]] => [[],[[[]],[],[]]] => 11
[[],[[[],[[]]]]] => [.,[[[.,.],[[.,.],.]],.]] => [[],[[[]],[[]]]] => 12
[[],[[[[]],[]]]] => [.,[[[[.,.],.],[.,.]],.]] => [[],[[[[]]],[]]] => 13
[[],[[[[],[]]]]] => [.,[[[[.,.],[.,.]],.],.]] => [[],[[[[]],[]]]] => 14
[[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [[],[[[[[]]]]]] => 16
[[[]],[],[],[],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [[[],[],[],[],[]]] => 11
[[[]],[],[],[[]]] => [[.,[.,[.,[[.,.],.]]]],.] => [[[],[],[],[[]]]] => 12
[[[]],[],[[]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [[[],[],[[],[]]]] => 13
[[[]],[],[[],[]]] => [[.,.],[.,[[.,.],[.,.]]]] => [[[]],[],[[]],[]] => 8
[[[]],[],[[[]]]] => [[.,[.,[[[.,.],.],.]]],.] => [[[],[],[[[]]]]] => 14
[[[]],[[]],[],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [[[],[[],[],[]]]] => 14
[[[]],[[]],[[]]] => [[.,[[.,[[.,.],.]],.]],.] => [[[],[[],[[]]]]] => 15
[[[]],[[],[]],[]] => [[.,.],[[.,[.,.]],[.,.]]] => [[[]],[[],[]],[]] => 9
[[[]],[[[]]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [[[],[[[],[]]]]] => 16
[[[]],[[],[],[]]] => [[.,.],[[.,.],[.,[.,.]]]] => [[[]],[[]],[],[]] => 8
[[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [[[]],[[]],[[]]] => 9
[[[]],[[[]],[]]] => [[.,.],[[[.,.],.],[.,.]]] => [[[]],[[[]]],[]] => 10
[[[]],[[[],[]]]] => [[.,.],[[[.,.],[.,.]],.]] => [[[]],[[[]],[]]] => 11
[[[]],[[[[]]]]] => [[.,[[[[.,.],.],.],.]],.] => [[[],[[[[]]]]]] => 17
[[[],[]],[],[],[]] => [[.,[.,.]],[.,[.,[.,.]]]] => [[[],[]],[],[],[]] => 8
[[[[]]],[],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [[[[],[],[],[]]]] => 15
[[[],[]],[],[[]]] => [[.,[.,.]],[.,[[.,.],.]]] => [[[],[]],[],[[]]] => 9
[[[[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],.] => [[[[],[],[[]]]]] => 16
[[[],[]],[[]],[]] => [[.,[.,.]],[[.,[.,.]],.]] => [[[],[]],[[],[]]] => 10
[[[[]]],[[]],[]] => [[[.,[[.,[.,.]],.]],.],.] => [[[[],[[],[]]]]] => 17
[[[],[]],[[],[]]] => [[.,[.,.]],[[.,.],[.,.]]] => [[[],[]],[[]],[]] => 9
[[[],[]],[[[]]]] => [[.,[.,.]],[[[.,.],.],.]] => [[[],[]],[[[]]]] => 11
[[[[]]],[[],[]]] => [[[.,.],.],[[.,.],[.,.]]] => [[[[]]],[[]],[]] => 10
[[[[]]],[[[]]]] => [[[.,[[[.,.],.],.]],.],.] => [[[[],[[[]]]]]] => 18
[[[],[],[]],[],[]] => [[.,[.,[.,.]]],[.,[.,.]]] => [[[],[],[]],[],[]] => 9
[[[],[[]]],[],[]] => [[.,[[.,.],.]],[.,[.,.]]] => [[[],[[]]],[],[]] => 10
[[[[]],[]],[],[]] => [[[.,[.,.]],.],[.,[.,.]]] => [[[[],[]]],[],[]] => 11
[[[[],[]]],[],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [[[[],[]],[],[]]] => 13
[[[[[]]]],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [[[[[],[],[]]]]] => 18
[[[],[],[]],[[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [[[],[],[]],[[]]] => 10
[[[],[[]]],[[]]] => [[.,[[.,.],.]],[[.,.],.]] => [[[],[[]]],[[]]] => 11
[[[[]],[]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [[[[],[]]],[[]]] => 12
[[[[],[]]],[[]]] => [[[.,[.,.]],[[.,.],.]],.] => [[[[],[]],[[]]]] => 14
[[[[[]]]],[[]]] => [[[[.,[[.,.],.]],.],.],.] => [[[[[],[[]]]]]] => 19
[[[],[],[],[]],[]] => [[.,[.,[.,[.,.]]]],[.,.]] => [[[],[],[],[]],[]] => 10
[[[],[],[[]]],[]] => [[.,[.,[[.,.],.]]],[.,.]] => [[[],[],[[]]],[]] => 11
[[[],[[]],[]],[]] => [[.,[[.,[.,.]],.]],[.,.]] => [[[],[[],[]]],[]] => 12
[[[],[[],[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [[[],[[],[]],[]]] => 13
[[[],[[[]]]],[]] => [[.,[[[.,.],.],.]],[.,.]] => [[[],[[[]]]],[]] => 13
[[[[]],[],[]],[]] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[],[],[]]],[]] => 13
[[[[]],[[]]],[]] => [[[.,[[.,.],.]],.],[.,.]] => [[[[],[[]]]],[]] => 14
[[[[],[]],[]],[]] => [[[.,[.,.]],[.,.]],[.,.]] => [[[[],[]],[]],[]] => 12
[[[[[]]],[]],[]] => [[[[.,[.,.]],.],.],[.,.]] => [[[[[],[]]]],[]] => 15
[[[[],[],[]]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [[[[],[],[]],[]]] => 14
[[[[],[[]]]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [[[[],[[]]],[]]] => 15
[[[[[]],[]]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [[[[[],[]]],[]]] => 16
[[[[[],[]]]],[]] => [[[[.,[.,.]],[.,.]],.],.] => [[[[[],[]],[]]]] => 17
[[[[[[]]]]],[]] => [[[[[.,[.,.]],.],.],.],.] => [[[[[[],[]]]]]] => 20
[[[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [[[]],[],[],[],[]] => 7
[[[],[],[],[[]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [[[]],[],[],[[]]] => 8
[[[],[],[[]],[]]] => [[.,.],[.,[[.,[.,.]],.]]] => [[[]],[],[[],[]]] => 9
[[[],[],[[],[]]]] => [[.,[.,[[.,.],[.,.]]]],.] => [[[],[],[[]],[]]] => 12
[[[],[],[[[]]]]] => [[.,.],[.,[[[.,.],.],.]]] => [[[]],[],[[[]]]] => 10
[[[],[[]],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [[[]],[[],[],[]]] => 10
[[[],[[]],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [[[]],[[],[[]]]] => 11
[[[],[[],[]],[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [[[],[[]],[]],[]] => 11
[[[],[[[]]],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [[[]],[[[],[]]]] => 12
[[[],[[],[],[]]]] => [[.,[[.,.],[.,[.,.]]]],.] => [[[],[[]],[],[]]] => 12
[[[],[[],[[]]]]] => [[.,[[.,.],[[.,.],.]]],.] => [[[],[[]],[[]]]] => 13
[[[],[[[]],[]]]] => [[.,[[[.,.],.],[.,.]]],.] => [[[],[[[]]],[]]] => 14
[[[],[[[],[]]]]] => [[.,[[[.,.],[.,.]],.]],.] => [[[],[[[]],[]]]] => 15
[[[],[[[[]]]]]] => [[.,.],[[[[.,.],.],.],.]] => [[[]],[[[[]]]]] => 13
[[[[]],[],[],[]]] => [[[.,.],.],[.,[.,[.,.]]]] => [[[[]]],[],[],[]] => 9
[[[[]],[],[[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [[[[]]],[],[[]]] => 10
[[[[]],[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [[[[]]],[[],[]]] => 11
[[[[]],[[],[]]]] => [[[.,.],[[.,.],[.,.]]],.] => [[[[]],[[]],[]]] => 13
[[[[]],[[[]]]]] => [[[.,.],.],[[[.,.],.],.]] => [[[[]]],[[[]]]] => 12
[[[[],[]],[],[]]] => [[[.,.],[.,.]],[.,[.,.]]] => [[[[]],[]],[],[]] => 10
[[[[[]]],[],[]]] => [[[[.,.],.],.],[.,[.,.]]] => [[[[[]]]],[],[]] => 12
[[[[],[]],[[]]]] => [[[.,.],[.,.]],[[.,.],.]] => [[[[]],[]],[[]]] => 11
[[[[[]]],[[]]]] => [[[[.,.],.],.],[[.,.],.]] => [[[[[]]]],[[]]] => 13
[[[[],[],[]],[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [[[[]],[],[]],[]] => 11
[[[[],[[]]],[]]] => [[[.,.],[[.,.],.]],[.,.]] => [[[[]],[[]]],[]] => 12
[[[[[]],[]],[]]] => [[[[.,.],.],[.,.]],[.,.]] => [[[[[]]],[]],[]] => 13
[[[[[],[]]],[]]] => [[[[.,.],[.,.]],.],[.,.]] => [[[[[]],[]]],[]] => 14
[[[[[[]]]],[]]] => [[[[[.,.],.],.],.],[.,.]] => [[[[[[]]]]],[]] => 16
[[[[],[],[],[]]]] => [[[.,.],[.,[.,[.,.]]]],.] => [[[[]],[],[],[]]] => 12
[[[[],[],[[]]]]] => [[[.,.],[.,[[.,.],.]]],.] => [[[[]],[],[[]]]] => 13
[[[[],[[]],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [[[[]],[[],[]]]] => 14
[[[[],[[],[]]]]] => [[[.,[[.,.],[.,.]]],.],.] => [[[[],[[]],[]]]] => 16
[[[[],[[[]]]]]] => [[[.,.],[[[.,.],.],.]],.] => [[[[]],[[[]]]]] => 15
[[[[[]],[],[]]]] => [[[[.,.],.],[.,[.,.]]],.] => [[[[[]]],[],[]]] => 14
[[[[[]],[[]]]]] => [[[[.,.],.],[[.,.],.]],.] => [[[[[]]],[[]]]] => 15
[[[[[],[]],[]]]] => [[[[.,.],[.,.]],[.,.]],.] => [[[[[]],[]],[]]] => 15
[[[[[[]]],[]]]] => [[[[[.,.],.],.],[.,.]],.] => [[[[[[]]]],[]]] => 17
[[[[[],[],[]]]]] => [[[[.,.],[.,[.,.]]],.],.] => [[[[[]],[],[]]]] => 16
[[[[[],[[]]]]]] => [[[[.,.],[[.,.],.]],.],.] => [[[[[]],[[]]]]] => 17
[[[[[[]],[]]]]] => [[[[[.,.],.],[.,.]],.],.] => [[[[[[]]],[]]]] => 18
[[[[[[],[]]]]]] => [[[[[.,.],[.,.]],.],.],.] => [[[[[[]],[]]]]] => 19
[[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [[[[[[[]]]]]]] => 21
[[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [[],[],[],[],[],[],[]] => 7
[[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [[],[],[],[],[],[[]]] => 8
[[],[],[],[],[[]],[]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [[],[],[],[],[[],[]]] => 9
[[],[],[],[],[[],[]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [[],[],[],[],[[]],[]] => 8
[[],[],[],[],[[[]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [[],[],[],[],[[[]]]] => 10
[[],[],[],[[]],[],[]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [[],[],[],[[],[],[]]] => 10
[[],[],[],[[]],[[]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [[],[],[],[[],[[]]]] => 11
[[],[],[],[[],[]],[]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [[],[],[],[[],[]],[]] => 9
[[],[],[],[[[]]],[]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [[],[],[],[[[],[]]]] => 12
[[],[],[],[[],[],[]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [[],[],[],[[]],[],[]] => 8
[[],[],[],[[],[[]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [[],[],[],[[]],[[]]] => 9
[[],[],[],[[[]],[]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [[],[],[],[[[]]],[]] => 10
[[],[],[],[[[],[]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [[],[],[],[[[]],[]]] => 11
[[],[],[],[[[[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [[],[],[],[[[[]]]]] => 13
[[],[],[[]],[],[],[]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [[],[],[[],[],[],[]]] => 11
[[],[],[[]],[],[[]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [[],[],[[],[],[[]]]] => 12
[[],[],[[]],[[]],[]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [[],[],[[],[[],[]]]] => 13
[[],[],[[]],[[],[]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [[],[],[[]],[[]],[]] => 9
[[],[],[[]],[[[]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [[],[],[[],[[[]]]]] => 14
[[],[],[[],[]],[],[]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [[],[],[[],[]],[],[]] => 9
[[],[],[[[]]],[],[]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [[],[],[[[],[],[]]]] => 14
[[],[],[[],[]],[[]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [[],[],[[],[]],[[]]] => 10
[[],[],[[[]]],[[]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [[],[],[[[],[[]]]]] => 15
[[],[],[[],[],[]],[]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [[],[],[[],[],[]],[]] => 10
[[],[],[[],[[]]],[]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [[],[],[[],[[]]],[]] => 11
[[],[],[[[]],[]],[]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [[],[],[[[],[]]],[]] => 12
[[],[],[[[],[]]],[]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [[],[],[[[],[]],[]]] => 13
[[],[],[[[[]]]],[]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [[],[],[[[[],[]]]]] => 16
[[],[],[[],[],[],[]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [[],[],[[]],[],[],[]] => 8
[[],[],[[],[],[[]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [[],[],[[]],[],[[]]] => 9
[[],[],[[],[[]],[]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [[],[],[[]],[[],[]]] => 10
[[],[],[[],[[],[]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [[],[],[[],[[]],[]]] => 12
[[],[],[[],[[[]]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [[],[],[[]],[[[]]]] => 11
[[],[],[[[]],[],[]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [[],[],[[[]]],[],[]] => 10
[[],[],[[[]],[[]]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [[],[],[[[]]],[[]]] => 11
[[],[],[[[],[]],[]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [[],[],[[[]],[]],[]] => 11
[[],[],[[[[]]],[]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [[],[],[[[[]]]],[]] => 13
[[],[],[[[],[],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [[],[],[[[]],[],[]]] => 12
[[],[],[[[],[[]]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [[],[],[[[]],[[]]]] => 13
[[],[],[[[[]],[]]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [[],[],[[[[]]],[]]] => 14
[[],[],[[[[],[]]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [[],[],[[[[]],[]]]] => 15
[[],[],[[[[[]]]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [[],[],[[[[[]]]]]] => 17
[[],[[]],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [[],[[],[],[],[],[]]] => 12
[[],[[]],[],[],[[]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [[],[[],[],[],[[]]]] => 13
[[],[[]],[],[[]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [[],[[],[],[[],[]]]] => 14
[[],[[]],[],[[],[]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [[],[[]],[],[[]],[]] => 9
[[],[[]],[],[[[]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [[],[[],[],[[[]]]]] => 15
[[],[[]],[[]],[],[]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [[],[[],[[],[],[]]]] => 15
[[],[[]],[[]],[[]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [[],[[],[[],[[]]]]] => 16
[[],[[]],[[],[]],[]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [[],[[]],[[],[]],[]] => 10
[[],[[]],[[[]]],[]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [[],[[],[[[],[]]]]] => 17
[[],[[]],[[],[],[]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [[],[[]],[[]],[],[]] => 9
[[],[[]],[[],[[]]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [[],[[]],[[]],[[]]] => 10
[[],[[]],[[[]],[]]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [[],[[]],[[[]]],[]] => 11
[[],[[]],[[[],[]]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [[],[[]],[[[]],[]]] => 12
[[],[[]],[[[[]]]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [[],[[],[[[[]]]]]] => 18
[[],[[],[]],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [[],[[],[]],[],[],[]] => 9
[[],[[[]]],[],[],[]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [[],[[[],[],[],[]]]] => 16
[[],[[],[]],[],[[]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [[],[[],[]],[],[[]]] => 10
[[],[[[]]],[],[[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [[],[[[],[],[[]]]]] => 17
[[],[[],[]],[[]],[]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [[],[[],[]],[[],[]]] => 11
[[],[[[]]],[[]],[]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [[],[[[],[[],[]]]]] => 18
[[],[[],[]],[[],[]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [[],[[],[]],[[]],[]] => 10
[[],[[],[]],[[[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [[],[[],[]],[[[]]]] => 12
[[],[[[]]],[[],[]]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [[],[[[]]],[[]],[]] => 11
[[],[[[]]],[[[]]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [[],[[[],[[[]]]]]] => 19
[[],[[],[],[]],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [[],[[],[],[]],[],[]] => 10
[[],[[],[[]]],[],[]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [[],[[],[[]]],[],[]] => 11
[[],[[[]],[]],[],[]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [[],[[[],[]]],[],[]] => 12
[[],[[[],[]]],[],[]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [[],[[[],[]],[],[]]] => 14
[[],[[[[]]]],[],[]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [[],[[[[],[],[]]]]] => 19
[[],[[],[],[]],[[]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [[],[[],[],[]],[[]]] => 11
[[],[[],[[]]],[[]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [[],[[],[[]]],[[]]] => 12
[[],[[[]],[]],[[]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [[],[[[],[]]],[[]]] => 13
[[],[[[],[]]],[[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [[],[[[],[]],[[]]]] => 15
[[],[[[[]]]],[[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [[],[[[[],[[]]]]]] => 20
[[],[[],[],[],[]],[]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [[],[[],[],[],[]],[]] => 11
[[],[[],[],[[]]],[]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [[],[[],[],[[]]],[]] => 12
[[],[[],[[]],[]],[]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [[],[[],[[],[]]],[]] => 13
[[],[[],[[],[]]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [[],[[],[[],[]],[]]] => 14
[[],[[],[[[]]]],[]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [[],[[],[[[]]]],[]] => 14
[[],[[[]],[],[]],[]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [[],[[[],[],[]]],[]] => 14
[[],[[[]],[[]]],[]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [[],[[[],[[]]]],[]] => 15
[[],[[[],[]],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [[],[[[],[]],[]],[]] => 13
[[],[[[[]]],[]],[]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [[],[[[[],[]]]],[]] => 16
[[],[[[],[],[]]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [[],[[[],[],[]],[]]] => 15
[[],[[[],[[]]]],[]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [[],[[[],[[]]],[]]] => 16
[[],[[[[]],[]]],[]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [[],[[[[],[]]],[]]] => 17
[[],[[[[],[]]]],[]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [[],[[[[],[]],[]]]] => 18
[[],[[[[[]]]]],[]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [[],[[[[[],[]]]]]] => 21
[[],[[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [[],[[]],[],[],[],[]] => 8
[[],[[],[],[],[[]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [[],[[]],[],[],[[]]] => 9
[[],[[],[],[[]],[]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [[],[[]],[],[[],[]]] => 10
[[],[[],[],[[],[]]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [[],[[],[],[[]],[]]] => 13
[[],[[],[],[[[]]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [[],[[]],[],[[[]]]] => 11
[[],[[],[[]],[],[]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [[],[[]],[[],[],[]]] => 11
[[],[[],[[]],[[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [[],[[]],[[],[[]]]] => 12
[[],[[],[[],[]],[]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [[],[[],[[]],[]],[]] => 12
[[],[[],[[[]]],[]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [[],[[]],[[[],[]]]] => 13
[[],[[],[[],[],[]]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [[],[[],[[]],[],[]]] => 13
[[],[[],[[],[[]]]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [[],[[],[[]],[[]]]] => 14
[[],[[],[[[]],[]]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [[],[[],[[[]]],[]]] => 15
[[],[[],[[[],[]]]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [[],[[],[[[]],[]]]] => 16
[[],[[],[[[[]]]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [[],[[]],[[[[]]]]] => 14
[[],[[[]],[],[],[]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [[],[[[]]],[],[],[]] => 10
[[],[[[]],[],[[]]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [[],[[[]]],[],[[]]] => 11
[[],[[[]],[[]],[]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [[],[[[]]],[[],[]]] => 12
[[],[[[]],[[],[]]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [[],[[[]],[[]],[]]] => 14
[[],[[[]],[[[]]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [[],[[[]]],[[[]]]] => 13
[[],[[[],[]],[],[]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [[],[[[]],[]],[],[]] => 11
[[],[[[[]]],[],[]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [[],[[[[]]]],[],[]] => 13
[[],[[[],[]],[[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [[],[[[]],[]],[[]]] => 12
[[],[[[[]]],[[]]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [[],[[[[]]]],[[]]] => 14
[[],[[[],[],[]],[]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [[],[[[]],[],[]],[]] => 12
[[],[[[],[[]]],[]]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [[],[[[]],[[]]],[]] => 13
[[],[[[[]],[]],[]]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [[],[[[[]]],[]],[]] => 14
[[],[[[[],[]]],[]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [[],[[[[]],[]]],[]] => 15
[[],[[[[[]]]],[]]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [[],[[[[[]]]]],[]] => 17
[[],[[[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [[],[[[]],[],[],[]]] => 13
[[],[[[],[],[[]]]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [[],[[[]],[],[[]]]] => 14
[[],[[[],[[]],[]]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [[],[[[]],[[],[]]]] => 15
[[],[[[],[[],[]]]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [[],[[[],[[]],[]]]] => 17
[[],[[[],[[[]]]]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [[],[[[]],[[[]]]]] => 16
[[],[[[[]],[],[]]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [[],[[[[]]],[],[]]] => 15
[[],[[[[]],[[]]]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [[],[[[[]]],[[]]]] => 16
[[],[[[[],[]],[]]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [[],[[[[]],[]],[]]] => 16
[[],[[[[[]]],[]]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [[],[[[[[]]]],[]]] => 18
[[],[[[[],[],[]]]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [[],[[[[]],[],[]]]] => 17
[[],[[[[],[[]]]]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [[],[[[[]],[[]]]]] => 18
[[],[[[[[]],[]]]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [[],[[[[[]]],[]]]] => 19
[[],[[[[[],[]]]]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [[],[[[[[]],[]]]]] => 20
[[],[[[[[[]]]]]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [[],[[[[[[]]]]]]] => 22
[[[]],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[[],[],[],[],[],[]]] => 13
[[[]],[],[],[],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [[[],[],[],[],[[]]]] => 14
[[[]],[],[],[[]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [[[],[],[],[[],[]]]] => 15
[[[]],[],[],[[],[]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [[[]],[],[],[[]],[]] => 9
[[[]],[],[],[[[]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [[[],[],[],[[[]]]]] => 16
[[[]],[],[[]],[],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [[[],[],[[],[],[]]]] => 16
[[[]],[],[[]],[[]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [[[],[],[[],[[]]]]] => 17
[[[]],[],[[],[]],[]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [[[]],[],[[],[]],[]] => 10
[[[]],[],[[[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [[[],[],[[[],[]]]]] => 18
[[[]],[],[[],[],[]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [[[]],[],[[]],[],[]] => 9
[[[]],[],[[],[[]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [[[]],[],[[]],[[]]] => 10
[[[]],[],[[[]],[]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [[[]],[],[[[]]],[]] => 11
[[[]],[],[[[],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [[[]],[],[[[]],[]]] => 12
[[[]],[],[[[[]]]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [[[],[],[[[[]]]]]] => 19
[[[]],[[]],[],[],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [[[],[[],[],[],[]]]] => 17
[[[]],[[]],[],[[]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [[[],[[],[],[[]]]]] => 18
[[[]],[[]],[[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [[[],[[],[[],[]]]]] => 19
[[[]],[[]],[[],[]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [[[]],[[]],[[]],[]] => 10
[[[]],[[]],[[[]]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [[[],[[],[[[]]]]]] => 20
[[[]],[[],[]],[],[]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [[[]],[[],[]],[],[]] => 10
[[[]],[[[]]],[],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [[[],[[[],[],[]]]]] => 20
[[[]],[[],[]],[[]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [[[]],[[],[]],[[]]] => 11
[[[]],[[[]]],[[]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [[[],[[[],[[]]]]]] => 21
[[[]],[[],[],[]],[]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [[[]],[[],[],[]],[]] => 11
[[[]],[[],[[]]],[]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [[[]],[[],[[]]],[]] => 12
[[[]],[[[]],[]],[]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [[[]],[[[],[]]],[]] => 13
[[[]],[[[],[]]],[]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [[[]],[[[],[]],[]]] => 14
[[[]],[[[[]]]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [[[],[[[[],[]]]]]] => 22
[[[]],[[],[],[],[]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [[[]],[[]],[],[],[]] => 9
[[[]],[[],[],[[]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [[[]],[[]],[],[[]]] => 10
[[[]],[[],[[]],[]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [[[]],[[]],[[],[]]] => 11
[[[]],[[],[[],[]]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [[[]],[[],[[]],[]]] => 13
[[[]],[[],[[[]]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [[[]],[[]],[[[]]]] => 12
[[[]],[[[]],[],[]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [[[]],[[[]]],[],[]] => 11
[[[]],[[[]],[[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [[[]],[[[]]],[[]]] => 12
[[[]],[[[],[]],[]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [[[]],[[[]],[]],[]] => 12
[[[]],[[[[]]],[]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [[[]],[[[[]]]],[]] => 14
[[[]],[[[],[],[]]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [[[]],[[[]],[],[]]] => 13
[[[]],[[[],[[]]]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [[[]],[[[]],[[]]]] => 14
[[[]],[[[[]],[]]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [[[]],[[[[]]],[]]] => 15
[[[]],[[[[],[]]]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [[[]],[[[[]],[]]]] => 16
[[[]],[[[[[]]]]]] => [[.,[[[[[.,.],.],.],.],.]],.] => [[[],[[[[[]]]]]]] => 23
[[[],[]],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[[],[]],[],[],[],[]] => 9
[[[[]]],[],[],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [[[[],[],[],[],[]]]] => 18
[[[],[]],[],[],[[]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [[[],[]],[],[],[[]]] => 10
[[[[]]],[],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [[[[],[],[],[[]]]]] => 19
[[[],[]],[],[[]],[]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [[[],[]],[],[[],[]]] => 11
[[[[]]],[],[[]],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [[[[],[],[[],[]]]]] => 20
[[[],[]],[],[[],[]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [[[],[]],[],[[]],[]] => 10
[[[],[]],[],[[[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [[[],[]],[],[[[]]]] => 12
[[[[]]],[],[[],[]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [[[[]]],[],[[]],[]] => 11
[[[[]]],[],[[[]]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [[[[],[],[[[]]]]]] => 21
[[[],[]],[[]],[],[]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [[[],[]],[[],[],[]]] => 12
[[[[]]],[[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [[[[],[[],[],[]]]]] => 21
[[[],[]],[[]],[[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [[[],[]],[[],[[]]]] => 13
[[[[]]],[[]],[[]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [[[[],[[],[[]]]]]] => 22
[[[],[]],[[],[]],[]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [[[],[]],[[],[]],[]] => 11
[[[],[]],[[[]]],[]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [[[],[]],[[[],[]]]] => 14
[[[[]]],[[],[]],[]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [[[[]]],[[],[]],[]] => 12
[[[[]]],[[[]]],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [[[[],[[[],[]]]]]] => 23
[[[],[]],[[],[],[]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [[[],[]],[[]],[],[]] => 10
[[[],[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [[[],[]],[[]],[[]]] => 11
[[[],[]],[[[]],[]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [[[],[]],[[[]]],[]] => 12
[[[],[]],[[[],[]]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [[[],[]],[[[]],[]]] => 13
[[[],[]],[[[[]]]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [[[],[]],[[[[]]]]] => 15
[[[[]]],[[],[],[]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [[[[]]],[[]],[],[]] => 11
[[[[]]],[[],[[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [[[[]]],[[]],[[]]] => 12
[[[[]]],[[[]],[]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [[[[]]],[[[]]],[]] => 13
[[[[]]],[[[],[]]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [[[[]]],[[[]],[]]] => 14
[[[[]]],[[[[]]]]] => [[[.,[[[[.,.],.],.],.]],.],.] => [[[[],[[[[]]]]]]] => 24
[[[],[],[]],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[[],[],[]],[],[],[]] => 10
[[[],[[]]],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [[[],[[]]],[],[],[]] => 11
[[[[]],[]],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[[],[]]],[],[],[]] => 12
[[[[],[]]],[],[],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[[],[]],[],[],[]]] => 15
[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [[[[[],[],[],[]]]]] => 22
[[[],[],[]],[],[[]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [[[],[],[]],[],[[]]] => 11
[[[],[[]]],[],[[]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [[[],[[]]],[],[[]]] => 12
[[[[]],[]],[],[[]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [[[[],[]]],[],[[]]] => 13
[[[[],[]]],[],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [[[[],[]],[],[[]]]] => 16
[[[[[]]]],[],[[]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [[[[[],[],[[]]]]]] => 23
[[[],[],[]],[[]],[]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [[[],[],[]],[[],[]]] => 12
[[[],[[]]],[[]],[]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [[[],[[]]],[[],[]]] => 13
[[[[]],[]],[[]],[]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [[[[],[]]],[[],[]]] => 14
[[[[],[]]],[[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [[[[],[]],[[],[]]]] => 17
[[[[[]]]],[[]],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [[[[[],[[],[]]]]]] => 24
[[[],[],[]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [[[],[],[]],[[]],[]] => 11
[[[],[],[]],[[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [[[],[],[]],[[[]]]] => 13
[[[],[[]]],[[],[]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [[[],[[]]],[[]],[]] => 12
[[[],[[]]],[[[]]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [[[],[[]]],[[[]]]] => 14
[[[[]],[]],[[],[]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [[[[],[]]],[[]],[]] => 13
[[[[]],[]],[[[]]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [[[[],[]]],[[[]]]] => 15
[[[[],[]]],[[],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [[[[],[]],[[]],[]]] => 16
[[[[],[]]],[[[]]]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [[[[],[]],[[[]]]]] => 18
[[[[[]]]],[[],[]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [[[[[]]]],[[]],[]] => 14
[[[[[]]]],[[[]]]] => [[[[.,[[[.,.],.],.]],.],.],.] => [[[[[],[[[]]]]]]] => 25
[[[],[],[],[]],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[[],[],[],[]],[],[]] => 11
[[[],[],[[]]],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [[[],[],[[]]],[],[]] => 12
[[[],[[]],[]],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [[[],[[],[]]],[],[]] => 13
[[[],[[],[]]],[],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [[[],[[],[]],[],[]]] => 15
[[[],[[[]]]],[],[]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [[[],[[[]]]],[],[]] => 14
[[[[]],[],[]],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[[],[],[]]],[],[]] => 14
[[[[]],[[]]],[],[]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [[[[],[[]]]],[],[]] => 15
[[[[],[]],[]],[],[]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[[],[]],[],[]],[]] => 14
[[[[[]]],[]],[],[]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [[[[[],[]]]],[],[]] => 16
[[[[],[],[]]],[],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [[[[],[],[]],[],[]]] => 16
[[[[],[[]]]],[],[]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [[[[],[[]]],[],[]]] => 17
[[[[[]],[]]],[],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [[[[[],[]]],[],[]]] => 18
[[[[[],[]]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [[[[[],[]],[],[]]]] => 20
[[[[[[]]]]],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [[[[[[],[],[]]]]]] => 25
[[[],[],[],[]],[[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [[[],[],[],[]],[[]]] => 12
[[[],[],[[]]],[[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [[[],[],[[]]],[[]]] => 13
[[[],[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [[[],[[],[]]],[[]]] => 14
[[[],[[],[]]],[[]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [[[],[[],[]],[[]]]] => 16
[[[],[[[]]]],[[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [[[],[[[]]]],[[]]] => 15
[[[[]],[],[]],[[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [[[[],[],[]]],[[]]] => 15
[[[[]],[[]]],[[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [[[[],[[]]]],[[]]] => 16
[[[[],[]],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [[[[],[]],[[]]],[]] => 15
[[[[[]]],[]],[[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [[[[[],[]]]],[[]]] => 17
[[[[],[],[]]],[[]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [[[[],[],[]],[[]]]] => 17
[[[[],[[]]]],[[]]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [[[[],[[]]],[[]]]] => 18
[[[[[]],[]]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [[[[[],[]]],[[]]]] => 19
[[[[[],[]]]],[[]]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [[[[[],[]],[[]]]]] => 21
[[[[[[]]]]],[[]]] => [[[[[.,[[.,.],.]],.],.],.],.] => [[[[[[],[[]]]]]]] => 26
[[[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[[],[],[],[],[]],[]] => 12
[[[],[],[],[[]]],[]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [[[],[],[],[[]]],[]] => 13
[[[],[],[[]],[]],[]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[],[],[[],[]]],[]] => 14
[[[],[],[[],[]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [[[],[],[[],[]],[]]] => 15
[[[],[],[[[]]]],[]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [[[],[],[[[]]]],[]] => 15
[[[],[[]],[],[]],[]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[],[[],[],[]]],[]] => 15
[[[],[[]],[[]]],[]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[[],[[],[[]]]],[]] => 16
[[[],[[],[]],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [[[],[[],[]],[]],[]] => 14
[[[],[[[]]],[]],[]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[[],[[[],[]]]],[]] => 17
[[[],[[],[],[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [[[],[[],[],[]],[]]] => 16
[[[],[[],[[]]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [[[],[[],[[]]],[]]] => 17
[[[],[[[]],[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [[[],[[[],[]]],[]]] => 18
[[[],[[[],[]]]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [[[],[[[],[]],[]]]] => 19
[[[],[[[[]]]]],[]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [[[],[[[[]]]]],[]] => 18
[[[[]],[],[],[]],[]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[],[],[],[]]],[]] => 16
[[[[]],[],[[]]],[]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[],[],[[]]]],[]] => 17
[[[[]],[[]],[]],[]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[],[[],[]]]],[]] => 18
[[[[]],[[],[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [[[[]],[[],[]],[]]] => 16
[[[[]],[[[]]]],[]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[[],[[[]]]]],[]] => 19
[[[[],[]],[],[]],[]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[[],[]],[]],[],[]] => 13
[[[[[]]],[],[]],[]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[],[],[]]]],[]] => 19
[[[[],[]],[[]]],[]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [[[[],[]],[]],[[]]] => 14
[[[[[]]],[[]]],[]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[[[],[[]]]]],[]] => 20
[[[[],[],[]],[]],[]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[[],[],[]],[]],[]] => 15
[[[[],[[]]],[]],[]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [[[[],[[]]],[]],[]] => 16
[[[[[]],[]],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [[[[[],[]]],[]],[]] => 17
[[[[[],[]]],[]],[]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [[[[[],[]],[]]],[]] => 18
[[[[[[]]]],[]],[]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[],[]]]]],[]] => 21
[[[[],[],[],[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [[[[],[],[],[]],[]]] => 17
[[[[],[],[[]]]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [[[[],[],[[]]],[]]] => 18
[[[[],[[]],[]]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [[[[],[[],[]]],[]]] => 19
[[[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [[[[],[[],[]],[]]]] => 20
[[[[],[[[]]]]],[]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [[[[],[[[]]]],[]]] => 20
[[[[[]],[],[]]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[[],[],[]]],[]]] => 20
[[[[[]],[[]]]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [[[[[],[[]]]],[]]] => 21
[[[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [[[[[],[]],[]],[]]] => 19
[[[[[[]]],[]]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [[[[[[],[]]]],[]]] => 22
[[[[[],[],[]]]],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[[],[],[]],[]]]] => 21
[[[[[],[[]]]]],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [[[[[],[[]]],[]]]] => 22
[[[[[[]],[]]]],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [[[[[[],[]]],[]]]] => 23
[[[[[[],[]]]]],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [[[[[[],[]],[]]]]] => 24
[[[[[[[]]]]]],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [[[[[[[],[]]]]]]] => 27
[[[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[[]],[],[],[],[],[]] => 8
[[[],[],[],[],[[]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [[[]],[],[],[],[[]]] => 9
[[[],[],[],[[]],[]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [[[]],[],[],[[],[]]] => 10
[[[],[],[],[[],[]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [[[],[],[],[[]],[]]] => 14
[[[],[],[],[[[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [[[]],[],[],[[[]]]] => 11
[[[],[],[[]],[],[]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [[[]],[],[[],[],[]]] => 11
[[[],[],[[]],[[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [[[]],[],[[],[[]]]] => 12
[[[],[],[[],[]],[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [[[],[],[[]],[]],[]] => 13
[[[],[],[[[]]],[]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [[[]],[],[[[],[]]]] => 13
[[[],[],[[],[],[]]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [[[],[],[[]],[],[]]] => 14
[[[],[],[[],[[]]]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [[[],[],[[]],[[]]]] => 15
[[[],[],[[[]],[]]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [[[],[],[[[]]],[]]] => 16
[[[],[],[[[],[]]]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [[[],[],[[[]],[]]]] => 17
[[[],[],[[[[]]]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [[[]],[],[[[[]]]]] => 14
[[[],[[]],[],[],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [[[]],[[],[],[],[]]] => 12
[[[],[[]],[],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [[[]],[[],[],[[]]]] => 13
[[[],[[]],[[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [[[]],[[],[[],[]]]] => 14
[[[],[[]],[[],[]]]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [[[],[[]],[[]],[]]] => 15
[[[],[[]],[[[]]]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [[[]],[[],[[[]]]]] => 15
[[[],[[],[]],[],[]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [[[],[[]],[]],[],[]] => 12
[[[],[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [[[]],[[[],[],[]]]] => 15
[[[],[[],[]],[[]]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [[[],[[]],[]],[[]]] => 13
[[[],[[[]]],[[]]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [[[]],[[[],[[]]]]] => 16
[[[],[[],[],[]],[]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [[[],[[]],[],[]],[]] => 13
[[[],[[],[[]]],[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [[[],[[]],[[]]],[]] => 14
[[[],[[[]],[]],[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [[[],[[[]]],[]],[]] => 15
[[[],[[[],[]]],[]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [[[],[[[]],[]]],[]] => 16
[[[],[[[[]]]],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [[[]],[[[[],[]]]]] => 17
[[[],[[],[],[],[]]]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [[[],[[]],[],[],[]]] => 14
[[[],[[],[],[[]]]]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [[[],[[]],[],[[]]]] => 15
[[[],[[],[[]],[]]]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [[[],[[]],[[],[]]]] => 16
[[[],[[],[[],[]]]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [[[],[[],[[]],[]]]] => 18
[[[],[[],[[[]]]]]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [[[],[[]],[[[]]]]] => 17
[[[],[[[]],[],[]]]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [[[],[[[]]],[],[]]] => 16
[[[],[[[]],[[]]]]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [[[],[[[]]],[[]]]] => 17
[[[],[[[],[]],[]]]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [[[],[[[]],[]],[]]] => 17
[[[],[[[[]]],[]]]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [[[],[[[[]]]],[]]] => 19
[[[],[[[],[],[]]]]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [[[],[[[]],[],[]]]] => 18
[[[],[[[],[[]]]]]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [[[],[[[]],[[]]]]] => 19
[[[],[[[[]],[]]]]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [[[],[[[[]]],[]]]] => 20
[[[],[[[[],[]]]]]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [[[],[[[[]],[]]]]] => 21
[[[],[[[[[]]]]]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [[[]],[[[[[]]]]]] => 18
[[[[]],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[[]]],[],[],[],[]] => 10
[[[[]],[],[],[[]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [[[[]]],[],[],[[]]] => 11
[[[[]],[],[[]],[]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [[[[]]],[],[[],[]]] => 12
[[[[]],[],[[],[]]]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [[[[]],[],[[]],[]]] => 15
[[[[]],[],[[[]]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [[[[]]],[],[[[]]]] => 13
[[[[]],[[]],[],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [[[[]]],[[],[],[]]] => 13
[[[[]],[[]],[[]]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [[[[]]],[[],[[]]]] => 14
[[[[]],[[],[]],[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [[[[]],[[]],[]],[]] => 14
[[[[]],[[[]]],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [[[[]]],[[[],[]]]] => 15
[[[[]],[[],[],[]]]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [[[[]],[[]],[],[]]] => 15
[[[[]],[[],[[]]]]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [[[[]],[[]],[[]]]] => 16
[[[[]],[[[]],[]]]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [[[[]],[[[]]],[]]] => 17
[[[[]],[[[],[]]]]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [[[[]],[[[]],[]]]] => 18
[[[[]],[[[[]]]]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [[[[]]],[[[[]]]]] => 16
[[[[],[]],[],[],[]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[[]],[]],[],[],[]] => 11
[[[[[]]],[],[],[]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[[]]]],[],[],[]] => 13
[[[[],[]],[],[[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [[[[]],[]],[],[[]]] => 12
[[[[[]]],[],[[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [[[[[]]]],[],[[]]] => 14
[[[[],[]],[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [[[[]],[]],[[],[]]] => 13
[[[[[]]],[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [[[[[]]]],[[],[]]] => 15
[[[[],[]],[[],[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [[[[]],[]],[[]],[]] => 12
[[[[],[]],[[[]]]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [[[[]],[]],[[[]]]] => 14
[[[[[]]],[[],[]]]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [[[[[]]],[[]],[]]] => 17
[[[[[]]],[[[]]]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [[[[[]]]],[[[]]]] => 16
[[[[],[],[]],[],[]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[[]],[],[]],[],[]] => 12
[[[[],[[]]],[],[]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [[[[]],[[]]],[],[]] => 13
[[[[[]],[]],[],[]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [[[[[]]],[]],[],[]] => 14
[[[[[],[]]],[],[]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [[[[[]],[]]],[],[]] => 15
[[[[[[]]]],[],[]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [[[[[[]]]]],[],[]] => 17
[[[[],[],[]],[[]]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [[[[]],[],[]],[[]]] => 13
[[[[],[[]]],[[]]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [[[[]],[[]]],[[]]] => 14
[[[[[]],[]],[[]]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [[[[[]]],[]],[[]]] => 15
[[[[[],[]]],[[]]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [[[[[]],[]]],[[]]] => 16
[[[[[[]]]],[[]]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [[[[[[]]]]],[[]]] => 18
[[[[],[],[],[]],[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[[]],[],[],[]],[]] => 13
[[[[],[],[[]]],[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [[[[]],[],[[]]],[]] => 14
[[[[],[[]],[]],[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [[[[]],[[],[]]],[]] => 15
[[[[],[[],[]]],[]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [[[[],[[]],[]]],[]] => 17
[[[[],[[[]]]],[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [[[[]],[[[]]]],[]] => 16
[[[[[]],[],[]],[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [[[[[]]],[],[]],[]] => 15
[[[[[]],[[]]],[]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [[[[[]]],[[]]],[]] => 16
[[[[[],[]],[]],[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [[[[[]],[]],[]],[]] => 16
[[[[[[]]],[]],[]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[[]]]],[]],[]] => 18
[[[[[],[],[]]],[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [[[[[]],[],[]]],[]] => 17
[[[[[],[[]]]],[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [[[[[]],[[]]]],[]] => 18
[[[[[[]],[]]],[]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [[[[[[]]],[]]],[]] => 19
[[[[[[],[]]]],[]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [[[[[[]],[]]]],[]] => 20
[[[[[[[]]]]],[]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[]]]]]],[]] => 22
[[[[],[],[],[],[]]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [[[[]],[],[],[],[]]] => 14
[[[[],[],[],[[]]]]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [[[[]],[],[],[[]]]] => 15
[[[[],[],[[]],[]]]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [[[[]],[],[[],[]]]] => 16
[[[[],[],[[],[]]]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [[[[],[],[[]],[]]]] => 19
[[[[],[],[[[]]]]]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [[[[]],[],[[[]]]]] => 17
[[[[],[[]],[],[]]]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [[[[]],[[],[],[]]]] => 17
[[[[],[[]],[[]]]]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [[[[]],[[],[[]]]]] => 18
[[[[],[[],[]],[]]]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [[[[],[[]],[]],[]]] => 18
[[[[],[[[]]],[]]]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [[[[]],[[[],[]]]]] => 19
[[[[],[[],[],[]]]]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [[[[],[[]],[],[]]]] => 19
[[[[],[[],[[]]]]]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [[[[],[[]],[[]]]]] => 20
[[[[],[[[]],[]]]]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [[[[],[[[]]],[]]]] => 21
[[[[],[[[],[]]]]]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [[[[],[[[]],[]]]]] => 22
[[[[],[[[[]]]]]]] => [[[.,.],[[[[.,.],.],.],.]],.] => [[[[]],[[[[]]]]]] => 20
[[[[[]],[],[],[]]]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [[[[[]]],[],[],[]]] => 16
[[[[[]],[],[[]]]]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [[[[[]]],[],[[]]]] => 17
[[[[[]],[[]],[]]]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [[[[[]]],[[],[]]]] => 18
[[[[[]],[[],[]]]]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [[[[[]],[[]],[]]]] => 20
[[[[[]],[[[]]]]]] => [[[[.,.],.],[[[.,.],.],.]],.] => [[[[[]]],[[[]]]]] => 19
[[[[[],[]],[],[]]]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [[[[[]],[]],[],[]]] => 17
[[[[[[]]],[],[]]]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [[[[[[]]]],[],[]]] => 19
[[[[[],[]],[[]]]]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [[[[[]],[]],[[]]]] => 18
[[[[[[]]],[[]]]]] => [[[[[.,.],.],.],[[.,.],.]],.] => [[[[[[]]]],[[]]]] => 20
[[[[[],[],[]],[]]]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [[[[[]],[],[]],[]]] => 18
[[[[[],[[]]],[]]]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [[[[[]],[[]]],[]]] => 19
[[[[[[]],[]],[]]]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [[[[[[]]],[]],[]]] => 20
[[[[[[],[]]],[]]]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [[[[[[]],[]]],[]]] => 21
[[[[[[[]]]],[]]]] => [[[[[[.,.],.],.],.],[.,.]],.] => [[[[[[[]]]]],[]]] => 23
[[[[[],[],[],[]]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [[[[[]],[],[],[]]]] => 19
[[[[[],[],[[]]]]]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [[[[[]],[],[[]]]]] => 20
[[[[[],[[]],[]]]]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [[[[[]],[[],[]]]]] => 21
[[[[[],[[],[]]]]]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [[[[[],[[]],[]]]]] => 23
[[[[[],[[[]]]]]]] => [[[[.,.],[[[.,.],.],.]],.],.] => [[[[[]],[[[]]]]]] => 22
[[[[[[]],[],[]]]]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [[[[[[]]],[],[]]]] => 21
[[[[[[]],[[]]]]]] => [[[[[.,.],.],[[.,.],.]],.],.] => [[[[[[]]],[[]]]]] => 22
[[[[[[],[]],[]]]]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [[[[[[]],[]],[]]]] => 22
[[[[[[[]]],[]]]]] => [[[[[[.,.],.],.],[.,.]],.],.] => [[[[[[[]]]],[]]]] => 24
[[[[[[],[],[]]]]]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [[[[[[]],[],[]]]]] => 23
[[[[[[],[[]]]]]]] => [[[[[.,.],[[.,.],.]],.],.],.] => [[[[[[]],[[]]]]]] => 24
[[[[[[[]],[]]]]]] => [[[[[[.,.],.],[.,.]],.],.],.] => [[[[[[[]]],[]]]]] => 25
[[[[[[[],[]]]]]]] => [[[[[[.,.],[.,.]],.],.],.],.] => [[[[[[[]],[]]]]]] => 26
[[[[[[[[]]]]]]]] => [[[[[[[.,.],.],.],.],.],.],.] => [[[[[[[[]]]]]]]] => 28
[[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[],[],[],[],[],[],[],[]] => 8
[[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[],[],[],[],[],[],[[]]] => 9
[[],[],[],[],[],[[]],[]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [[],[],[],[],[],[[],[]]] => 10
[[],[],[],[],[],[[],[]]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [[],[],[],[],[],[[]],[]] => 9
[[],[],[],[],[],[[[]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [[],[],[],[],[],[[[]]]] => 11
[[],[],[],[],[[]],[],[]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [[],[],[],[],[[],[],[]]] => 11
[[],[],[],[],[[]],[[]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [[],[],[],[],[[],[[]]]] => 12
[[],[],[],[],[[],[]],[]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [[],[],[],[],[[],[]],[]] => 10
[[],[],[],[],[[[]]],[]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [[],[],[],[],[[[],[]]]] => 13
[[],[],[],[],[[],[],[]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [[],[],[],[],[[]],[],[]] => 9
[[],[],[],[],[[],[[]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [[],[],[],[],[[]],[[]]] => 10
[[],[],[],[],[[[]],[]]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [[],[],[],[],[[[]]],[]] => 11
[[],[],[],[],[[[],[]]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [[],[],[],[],[[[]],[]]] => 12
[[],[],[],[],[[[[]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [[],[],[],[],[[[[]]]]] => 14
[[],[],[],[[]],[],[],[]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [[],[],[],[[],[],[],[]]] => 12
[[],[],[],[[]],[],[[]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [[],[],[],[[],[],[[]]]] => 13
[[],[],[],[[]],[[]],[]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [[],[],[],[[],[[],[]]]] => 14
[[],[],[],[[]],[[],[]]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [[],[],[],[[]],[[]],[]] => 10
[[],[],[],[[]],[[[]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [[],[],[],[[],[[[]]]]] => 15
[[],[],[],[[],[]],[],[]] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [[],[],[],[[],[]],[],[]] => 10
[[],[],[],[[[]]],[],[]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [[],[],[],[[[],[],[]]]] => 15
[[],[],[],[[],[]],[[]]] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [[],[],[],[[],[]],[[]]] => 11
[[],[],[],[[[]]],[[]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [[],[],[],[[[],[[]]]]] => 16
[[],[],[],[[],[],[]],[]] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [[],[],[],[[],[],[]],[]] => 11
[[],[],[],[[],[[]]],[]] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [[],[],[],[[],[[]]],[]] => 12
[[],[],[],[[[]],[]],[]] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [[],[],[],[[[],[]]],[]] => 13
[[],[],[],[[[],[]]],[]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [[],[],[],[[[],[]],[]]] => 14
[[],[],[],[[[[]]]],[]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [[],[],[],[[[[],[]]]]] => 17
[[],[],[],[[],[],[],[]]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [[],[],[],[[]],[],[],[]] => 9
[[],[],[],[[],[],[[]]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [[],[],[],[[]],[],[[]]] => 10
[[],[],[],[[],[[]],[]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [[],[],[],[[]],[[],[]]] => 11
[[],[],[],[[],[[],[]]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [[],[],[],[[],[[]],[]]] => 13
[[],[],[],[[],[[[]]]]] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [[],[],[],[[]],[[[]]]] => 12
[[],[],[],[[[]],[],[]]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [[],[],[],[[[]]],[],[]] => 11
[[],[],[],[[[]],[[]]]] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [[],[],[],[[[]]],[[]]] => 12
[[],[],[],[[[],[]],[]]] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [[],[],[],[[[]],[]],[]] => 12
[[],[],[],[[[[]]],[]]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [[],[],[],[[[[]]]],[]] => 14
[[],[],[],[[[],[],[]]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [[],[],[],[[[]],[],[]]] => 13
[[],[],[],[[[],[[]]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [[],[],[],[[[]],[[]]]] => 14
[[],[],[],[[[[]],[]]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [[],[],[],[[[[]]],[]]] => 15
[[],[],[],[[[[],[]]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [[],[],[],[[[[]],[]]]] => 16
[[],[],[],[[[[[]]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [[],[],[],[[[[[]]]]]] => 18
[[],[],[[]],[],[],[],[]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [[],[],[[],[],[],[],[]]] => 13
[[],[],[[]],[],[],[[]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [[],[],[[],[],[],[[]]]] => 14
[[],[],[[]],[],[[]],[]] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [[],[],[[],[],[[],[]]]] => 15
[[],[],[[]],[],[[],[]]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [[],[],[[]],[],[[]],[]] => 10
[[],[],[[]],[],[[[]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [[],[],[[],[],[[[]]]]] => 16
[[],[],[[]],[[]],[],[]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [[],[],[[],[[],[],[]]]] => 16
[[],[],[[]],[[]],[[]]] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [[],[],[[],[[],[[]]]]] => 17
[[],[],[[]],[[],[]],[]] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [[],[],[[]],[[],[]],[]] => 11
[[],[],[[]],[[[]]],[]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [[],[],[[],[[[],[]]]]] => 18
[[],[],[[]],[[],[],[]]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [[],[],[[]],[[]],[],[]] => 10
[[],[],[[]],[[],[[]]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [[],[],[[]],[[]],[[]]] => 11
[[],[],[[]],[[[]],[]]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [[],[],[[]],[[[]]],[]] => 12
[[],[],[[]],[[[],[]]]] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [[],[],[[]],[[[]],[]]] => 13
[[],[],[[]],[[[[]]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [[],[],[[],[[[[]]]]]] => 19
[[],[],[[],[]],[],[],[]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [[],[],[[],[]],[],[],[]] => 10
[[],[],[[[]]],[],[],[]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [[],[],[[[],[],[],[]]]] => 17
[[],[],[[],[]],[],[[]]] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [[],[],[[],[]],[],[[]]] => 11
[[],[],[[[]]],[],[[]]] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [[],[],[[[],[],[[]]]]] => 18
[[],[],[[],[]],[[]],[]] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [[],[],[[],[]],[[],[]]] => 12
[[],[],[[[]]],[[]],[]] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [[],[],[[[],[[],[]]]]] => 19
[[],[],[[],[]],[[],[]]] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [[],[],[[],[]],[[]],[]] => 11
[[],[],[[],[]],[[[]]]] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [[],[],[[],[]],[[[]]]] => 13
[[],[],[[[]]],[[],[]]] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [[],[],[[[]]],[[]],[]] => 12
[[],[],[[[]]],[[[]]]] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [[],[],[[[],[[[]]]]]] => 20
[[],[],[[],[],[]],[],[]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [[],[],[[],[],[]],[],[]] => 11
[[],[],[[],[[]]],[],[]] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [[],[],[[],[[]]],[],[]] => 12
[[],[],[[[]],[]],[],[]] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [[],[],[[[],[]]],[],[]] => 13
[[],[],[[[],[]]],[],[]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [[],[],[[[],[]],[],[]]] => 15
[[],[],[[[[]]]],[],[]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [[],[],[[[[],[],[]]]]] => 20
[[],[],[[],[],[]],[[]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [[],[],[[],[],[]],[[]]] => 12
[[],[],[[],[[]]],[[]]] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [[],[],[[],[[]]],[[]]] => 13
[[],[],[[[]],[]],[[]]] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [[],[],[[[],[]]],[[]]] => 14
[[],[],[[[],[]]],[[]]] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [[],[],[[[],[]],[[]]]] => 16
[[],[],[[[[]]]],[[]]] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [[],[],[[[[],[[]]]]]] => 21
[[],[],[[],[],[],[]],[]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [[],[],[[],[],[],[]],[]] => 12
[[],[],[[],[],[[]]],[]] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [[],[],[[],[],[[]]],[]] => 13
[[],[],[[],[[]],[]],[]] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [[],[],[[],[[],[]]],[]] => 14
[[],[],[[],[[],[]]],[]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [[],[],[[],[[],[]],[]]] => 15
[[],[],[[],[[[]]]],[]] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [[],[],[[],[[[]]]],[]] => 15
[[],[],[[[]],[],[]],[]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [[],[],[[[],[],[]]],[]] => 15
[[],[],[[[]],[[]]],[]] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [[],[],[[[],[[]]]],[]] => 16
[[],[],[[[],[]],[]],[]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [[],[],[[[],[]],[]],[]] => 14
[[],[],[[[[]]],[]],[]] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [[],[],[[[[],[]]]],[]] => 17
[[],[],[[[],[],[]]],[]] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [[],[],[[[],[],[]],[]]] => 16
[[],[],[[[],[[]]]],[]] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [[],[],[[[],[[]]],[]]] => 17
[[],[],[[[[]],[]]],[]] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [[],[],[[[[],[]]],[]]] => 18
[[],[],[[[[],[]]]],[]] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [[],[],[[[[],[]],[]]]] => 19
[[],[],[[[[[]]]]],[]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [[],[],[[[[[],[]]]]]] => 22
[[],[],[[],[],[],[],[]]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [[],[],[[]],[],[],[],[]] => 9
[[],[],[[],[],[],[[]]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [[],[],[[]],[],[],[[]]] => 10
[[],[],[[],[],[[]],[]]] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [[],[],[[]],[],[[],[]]] => 11
[[],[],[[],[],[[],[]]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [[],[],[[],[],[[]],[]]] => 14
[[],[],[[],[],[[[]]]]] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [[],[],[[]],[],[[[]]]] => 12
[[],[],[[],[[]],[],[]]] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [[],[],[[]],[[],[],[]]] => 12
[[],[],[[],[[]],[[]]]] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [[],[],[[]],[[],[[]]]] => 13
[[],[],[[],[[],[]],[]]] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [[],[],[[],[[]],[]],[]] => 13
[[],[],[[],[[[]]],[]]] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [[],[],[[]],[[[],[]]]] => 14
[[],[],[[],[[],[],[]]]] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [[],[],[[],[[]],[],[]]] => 14
[[],[],[[],[[],[[]]]]] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [[],[],[[],[[]],[[]]]] => 15
[[],[],[[],[[[]],[]]]] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [[],[],[[],[[[]]],[]]] => 16
[[],[],[[],[[[],[]]]]] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [[],[],[[],[[[]],[]]]] => 17
[[],[],[[],[[[[]]]]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [[],[],[[]],[[[[]]]]] => 15
[[],[],[[[]],[],[],[]]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [[],[],[[[]]],[],[],[]] => 11
[[],[],[[[]],[],[[]]]] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [[],[],[[[]]],[],[[]]] => 12
[[],[],[[[]],[[]],[]]] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [[],[],[[[]]],[[],[]]] => 13
[[],[],[[[]],[[],[]]]] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [[],[],[[[]],[[]],[]]] => 15
[[],[],[[[]],[[[]]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [[],[],[[[]]],[[[]]]] => 14
[[],[],[[[],[]],[],[]]] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [[],[],[[[]],[]],[],[]] => 12
[[],[],[[[[]]],[],[]]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [[],[],[[[[]]]],[],[]] => 14
[[],[],[[[],[]],[[]]]] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [[],[],[[[]],[]],[[]]] => 13
[[],[],[[[[]]],[[]]]] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [[],[],[[[[]]]],[[]]] => 15
[[],[],[[[],[],[]],[]]] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [[],[],[[[]],[],[]],[]] => 13
[[],[],[[[],[[]]],[]]] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [[],[],[[[]],[[]]],[]] => 14
[[],[],[[[[]],[]],[]]] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [[],[],[[[[]]],[]],[]] => 15
[[],[],[[[[],[]]],[]]] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [[],[],[[[[]],[]]],[]] => 16
[[],[],[[[[[]]]],[]]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [[],[],[[[[[]]]]],[]] => 18
[[],[],[[[],[],[],[]]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [[],[],[[[]],[],[],[]]] => 14
[[],[],[[[],[],[[]]]]] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [[],[],[[[]],[],[[]]]] => 15
[[],[],[[[],[[]],[]]]] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [[],[],[[[]],[[],[]]]] => 16
[[],[],[[[],[[],[]]]]] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [[],[],[[[],[[]],[]]]] => 18
[[],[],[[[],[[[]]]]]] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [[],[],[[[]],[[[]]]]] => 17
[[],[],[[[[]],[],[]]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [[],[],[[[[]]],[],[]]] => 16
[[],[],[[[[]],[[]]]]] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [[],[],[[[[]]],[[]]]] => 17
[[],[],[[[[],[]],[]]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [[],[],[[[[]],[]],[]]] => 17
[[],[],[[[[[]]],[]]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [[],[],[[[[[]]]],[]]] => 19
[[],[],[[[[],[],[]]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [[],[],[[[[]],[],[]]]] => 18
[[],[],[[[[],[[]]]]]] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [[],[],[[[[]],[[]]]]] => 19
[[],[],[[[[[]],[]]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [[],[],[[[[[]]],[]]]] => 20
[[],[],[[[[[],[]]]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [[],[],[[[[[]],[]]]]] => 21
[[],[],[[[[[[]]]]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [[],[],[[[[[[]]]]]]] => 23
[[],[[]],[],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [[],[[],[],[],[],[],[]]] => 14
[[],[[]],[],[],[],[[]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [[],[[],[],[],[],[[]]]] => 15
[[],[[]],[],[],[[]],[]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [[],[[],[],[],[[],[]]]] => 16
[[],[[]],[],[],[[],[]]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [[],[[]],[],[],[[]],[]] => 10
[[],[[]],[],[],[[[]]]] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [[],[[],[],[],[[[]]]]] => 17
[[],[[]],[],[[]],[],[]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [[],[[],[],[[],[],[]]]] => 17
[[],[[]],[],[[]],[[]]] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [[],[[],[],[[],[[]]]]] => 18
[[],[[]],[],[[],[]],[]] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [[],[[]],[],[[],[]],[]] => 11
[[],[[]],[],[[[]]],[]] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [[],[[],[],[[[],[]]]]] => 19
[[],[[]],[],[[],[],[]]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [[],[[]],[],[[]],[],[]] => 10
[[],[[]],[],[[],[[]]]] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [[],[[]],[],[[]],[[]]] => 11
[[],[[]],[],[[[]],[]]] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [[],[[]],[],[[[]]],[]] => 12
[[],[[]],[],[[[],[]]]] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [[],[[]],[],[[[]],[]]] => 13
[[],[[]],[],[[[[]]]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [[],[[],[],[[[[]]]]]] => 20
[[],[[]],[[]],[],[],[]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [[],[[],[[],[],[],[]]]] => 18
[[],[[]],[[]],[],[[]]] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [[],[[],[[],[],[[]]]]] => 19
[[],[[]],[[]],[[]],[]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[],[[],[[],[[],[]]]]] => 20
[[],[[]],[[]],[[],[]]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [[],[[]],[[]],[[]],[]] => 11
[[],[[]],[[]],[[[]]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [[],[[],[[],[[[]]]]]] => 21
[[],[[]],[[],[]],[],[]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [[],[[]],[[],[]],[],[]] => 11
[[],[[]],[[[]]],[],[]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [[],[[],[[[],[],[]]]]] => 21
[[],[[]],[[],[]],[[]]] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [[],[[]],[[],[]],[[]]] => 12
[[],[[]],[[[]]],[[]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [[],[[],[[[],[[]]]]]] => 22
[[],[[]],[[],[],[]],[]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [[],[[]],[[],[],[]],[]] => 12
[[],[[]],[[],[[]]],[]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [[],[[]],[[],[[]]],[]] => 13
[[],[[]],[[[]],[]],[]] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [[],[[]],[[[],[]]],[]] => 14
[[],[[]],[[[],[]]],[]] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [[],[[]],[[[],[]],[]]] => 15
[[],[[]],[[[[]]]],[]] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [[],[[],[[[[],[]]]]]] => 23
[[],[[]],[[],[],[],[]]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [[],[[]],[[]],[],[],[]] => 10
[[],[[]],[[],[],[[]]]] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [[],[[]],[[]],[],[[]]] => 11
[[],[[]],[[],[[]],[]]] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [[],[[]],[[]],[[],[]]] => 12
[[],[[]],[[],[[],[]]]] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [[],[[]],[[],[[]],[]]] => 14
[[],[[]],[[],[[[]]]]] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [[],[[]],[[]],[[[]]]] => 13
[[],[[]],[[[]],[],[]]] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [[],[[]],[[[]]],[],[]] => 12
[[],[[]],[[[]],[[]]]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [[],[[]],[[[]]],[[]]] => 13
[[],[[]],[[[],[]],[]]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [[],[[]],[[[]],[]],[]] => 13
[[],[[]],[[[[]]],[]]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [[],[[]],[[[[]]]],[]] => 15
[[],[[]],[[[],[],[]]]] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [[],[[]],[[[]],[],[]]] => 14
[[],[[]],[[[],[[]]]]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [[],[[]],[[[]],[[]]]] => 15
[[],[[]],[[[[]],[]]]] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [[],[[]],[[[[]]],[]]] => 16
[[],[[]],[[[[],[]]]]] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [[],[[]],[[[[]],[]]]] => 17
[[],[[]],[[[[[]]]]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [[],[[],[[[[[]]]]]]] => 24
[[],[[],[]],[],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [[],[[],[]],[],[],[],[]] => 10
[[],[[[]]],[],[],[],[]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [[],[[[],[],[],[],[]]]] => 19
[[],[[],[]],[],[],[[]]] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [[],[[],[]],[],[],[[]]] => 11
[[],[[[]]],[],[],[[]]] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [[],[[[],[],[],[[]]]]] => 20
[[],[[],[]],[],[[]],[]] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [[],[[],[]],[],[[],[]]] => 12
[[],[[[]]],[],[[]],[]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [[],[[[],[],[[],[]]]]] => 21
[[],[[],[]],[],[[],[]]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [[],[[],[]],[],[[]],[]] => 11
[[],[[],[]],[],[[[]]]] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [[],[[],[]],[],[[[]]]] => 13
[[],[[[]]],[],[[],[]]] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [[],[[[]]],[],[[]],[]] => 12
[[],[[[]]],[],[[[]]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [[],[[[],[],[[[]]]]]] => 22
[[],[[],[]],[[]],[],[]] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [[],[[],[]],[[],[],[]]] => 13
[[],[[[]]],[[]],[],[]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [[],[[[],[[],[],[]]]]] => 22
[[],[[],[]],[[]],[[]]] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [[],[[],[]],[[],[[]]]] => 14
[[],[[[]]],[[]],[[]]] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [[],[[[],[[],[[]]]]]] => 23
[[],[[],[]],[[],[]],[]] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [[],[[],[]],[[],[]],[]] => 12
[[],[[],[]],[[[]]],[]] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [[],[[],[]],[[[],[]]]] => 15
[[],[[[]]],[[],[]],[]] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [[],[[[]]],[[],[]],[]] => 13
[[],[[[]]],[[[]]],[]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [[],[[[],[[[],[]]]]]] => 24
[[],[[],[]],[[],[],[]]] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [[],[[],[]],[[]],[],[]] => 11
[[],[[],[]],[[],[[]]]] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [[],[[],[]],[[]],[[]]] => 12
[[],[[],[]],[[[]],[]]] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [[],[[],[]],[[[]]],[]] => 13
[[],[[],[]],[[[],[]]]] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [[],[[],[]],[[[]],[]]] => 14
[[],[[],[]],[[[[]]]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [[],[[],[]],[[[[]]]]] => 16
[[],[[[]]],[[],[],[]]] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [[],[[[]]],[[]],[],[]] => 12
[[],[[[]]],[[],[[]]]] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [[],[[[]]],[[]],[[]]] => 13
[[],[[[]]],[[[]],[]]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [[],[[[]]],[[[]]],[]] => 14
[[],[[[]]],[[[],[]]]] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [[],[[[]]],[[[]],[]]] => 15
[[],[[[]]],[[[[]]]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [[],[[[],[[[[]]]]]]] => 25
[[],[[],[],[]],[],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [[],[[],[],[]],[],[],[]] => 11
[[],[[],[[]]],[],[],[]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [[],[[],[[]]],[],[],[]] => 12
[[],[[[]],[]],[],[],[]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [[],[[[],[]]],[],[],[]] => 13
[[],[[[],[]]],[],[],[]] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [[],[[[],[]],[],[],[]]] => 16
[[],[[[[]]]],[],[],[]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [[],[[[[],[],[],[]]]]] => 23
[[],[[],[],[]],[],[[]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [[],[[],[],[]],[],[[]]] => 12
[[],[[],[[]]],[],[[]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [[],[[],[[]]],[],[[]]] => 13
[[],[[[]],[]],[],[[]]] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [[],[[[],[]]],[],[[]]] => 14
[[],[[[],[]]],[],[[]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [[],[[[],[]],[],[[]]]] => 17
[[],[[[[]]]],[],[[]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [[],[[[[],[],[[]]]]]] => 24
[[],[[],[],[]],[[]],[]] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [[],[[],[],[]],[[],[]]] => 13
[[],[[],[[]]],[[]],[]] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [[],[[],[[]]],[[],[]]] => 14
[[],[[[]],[]],[[]],[]] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [[],[[[],[]]],[[],[]]] => 15
[[],[[[],[]]],[[]],[]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[],[[[],[]],[[],[]]]] => 18
[[],[[[[]]]],[[]],[]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [[],[[[[],[[],[]]]]]] => 25
[[],[[],[],[]],[[],[]]] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [[],[[],[],[]],[[]],[]] => 12
[[],[[],[],[]],[[[]]]] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [[],[[],[],[]],[[[]]]] => 14
[[],[[],[[]]],[[],[]]] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [[],[[],[[]]],[[]],[]] => 13
[[],[[],[[]]],[[[]]]] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [[],[[],[[]]],[[[]]]] => 15
[[],[[[]],[]],[[],[]]] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [[],[[[],[]]],[[]],[]] => 14
[[],[[[]],[]],[[[]]]] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [[],[[[],[]]],[[[]]]] => 16
[[],[[[],[]]],[[],[]]] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [[],[[[],[]],[[]],[]]] => 17
[[],[[[],[]]],[[[]]]] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [[],[[[],[]],[[[]]]]] => 19
[[],[[[[]]]],[[],[]]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [[],[[[[]]]],[[]],[]] => 15
[[],[[[[]]]],[[[]]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [[],[[[[],[[[]]]]]]] => 26
[[],[[],[],[],[]],[],[]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [[],[[],[],[],[]],[],[]] => 12
[[],[[],[],[[]]],[],[]] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [[],[[],[],[[]]],[],[]] => 13
[[],[[],[[]],[]],[],[]] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [[],[[],[[],[]]],[],[]] => 14
[[],[[],[[],[]]],[],[]] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [[],[[],[[],[]],[],[]]] => 16
[[],[[],[[[]]]],[],[]] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [[],[[],[[[]]]],[],[]] => 15
[[],[[[]],[],[]],[],[]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [[],[[[],[],[]]],[],[]] => 15
[[],[[[]],[[]]],[],[]] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [[],[[[],[[]]]],[],[]] => 16
[[],[[[],[]],[]],[],[]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [[],[[[],[]],[],[]],[]] => 15
[[],[[[[]]],[]],[],[]] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [[],[[[[],[]]]],[],[]] => 17
[[],[[[],[],[]]],[],[]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [[],[[[],[],[]],[],[]]] => 17
[[],[[[],[[]]]],[],[]] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [[],[[[],[[]]],[],[]]] => 18
[[],[[[[]],[]]],[],[]] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [[],[[[[],[]]],[],[]]] => 19
[[],[[[[],[]]]],[],[]] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [[],[[[[],[]],[],[]]]] => 21
[[],[[[[[]]]]],[],[]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [[],[[[[[],[],[]]]]]] => 26
[[],[[],[],[],[]],[[]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [[],[[],[],[],[]],[[]]] => 13
[[],[[],[],[[]]],[[]]] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [[],[[],[],[[]]],[[]]] => 14
[[],[[],[[]],[]],[[]]] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [[],[[],[[],[]]],[[]]] => 15
[[],[[],[[],[]]],[[]]] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [[],[[],[[],[]],[[]]]] => 17
[[],[[],[[[]]]],[[]]] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [[],[[],[[[]]]],[[]]] => 16
[[],[[[]],[],[]],[[]]] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [[],[[[],[],[]]],[[]]] => 16
[[],[[[]],[[]]],[[]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [[],[[[],[[]]]],[[]]] => 17
[[],[[[],[]],[]],[[]]] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [[],[[[],[]],[[]]],[]] => 16
[[],[[[[]]],[]],[[]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [[],[[[[],[]]]],[[]]] => 18
[[],[[[],[],[]]],[[]]] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [[],[[[],[],[]],[[]]]] => 18
[[],[[[],[[]]]],[[]]] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [[],[[[],[[]]],[[]]]] => 19
[[],[[[[]],[]]],[[]]] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [[],[[[[],[]]],[[]]]] => 20
[[],[[[[],[]]]],[[]]] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [[],[[[[],[]],[[]]]]] => 22
[[],[[[[[]]]]],[[]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [[],[[[[[],[[]]]]]]] => 27
[[],[[],[],[],[],[]],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [[],[[],[],[],[],[]],[]] => 13
[[],[[],[],[],[[]]],[]] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [[],[[],[],[],[[]]],[]] => 14
[[],[[],[],[[]],[]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [[],[[],[],[[],[]]],[]] => 15
[[],[[],[],[[],[]]],[]] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [[],[[],[],[[],[]],[]]] => 16
[[],[[],[],[[[]]]],[]] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [[],[[],[],[[[]]]],[]] => 16
[[],[[],[[]],[],[]],[]] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [[],[[],[[],[],[]]],[]] => 16
[[],[[],[[]],[[]]],[]] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [[],[[],[[],[[]]]],[]] => 17
[[],[[],[[],[]],[]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [[],[[],[[],[]],[]],[]] => 15
[[],[[],[[[]]],[]],[]] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [[],[[],[[[],[]]]],[]] => 18
[[],[[],[[],[],[]]],[]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [[],[[],[[],[],[]],[]]] => 17
[[],[[],[[],[[]]]],[]] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [[],[[],[[],[[]]],[]]] => 18
[[],[[],[[[]],[]]],[]] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [[],[[],[[[],[]]],[]]] => 19
[[],[[],[[[],[]]]],[]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [[],[[],[[[],[]],[]]]] => 20
[[],[[],[[[[]]]]],[]] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [[],[[],[[[[]]]]],[]] => 19
[[],[[[]],[],[],[]],[]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [[],[[[],[],[],[]]],[]] => 17
[[],[[[]],[],[[]]],[]] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [[],[[[],[],[[]]]],[]] => 18
[[],[[[]],[[]],[]],[]] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [[],[[[],[[],[]]]],[]] => 19
[[],[[[]],[[],[]]],[]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [[],[[[]],[[],[]],[]]] => 17
[[],[[[]],[[[]]]],[]] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [[],[[[],[[[]]]]],[]] => 20
[[],[[[],[]],[],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [[],[[[],[]],[]],[],[]] => 14
[[],[[[[]]],[],[]],[]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [[],[[[[],[],[]]]],[]] => 20
[[],[[[],[]],[[]]],[]] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [[],[[[],[]],[]],[[]]] => 15
[[],[[[[]]],[[]]],[]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [[],[[[[],[[]]]]],[]] => 21
[[],[[[],[],[]],[]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [[],[[[],[],[]],[]],[]] => 16
[[],[[[],[[]]],[]],[]] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [[],[[[],[[]]],[]],[]] => 17
[[],[[[[]],[]],[]],[]] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [[],[[[[],[]]],[]],[]] => 18
[[],[[[[],[]]],[]],[]] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [[],[[[[],[]],[]]],[]] => 19
[[],[[[[[]]]],[]],[]] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [[],[[[[[],[]]]]],[]] => 22
[[],[[[],[],[],[]]],[]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [[],[[[],[],[],[]],[]]] => 18
[[],[[[],[],[[]]]],[]] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [[],[[[],[],[[]]],[]]] => 19
[[],[[[],[[]],[]]],[]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[],[[[],[[],[]]],[]]] => 20
[[],[[[],[[],[]]]],[]] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [[],[[[],[[],[]],[]]]] => 21
[[],[[[],[[[]]]]],[]] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [[],[[[],[[[]]]],[]]] => 21
[[],[[[[]],[],[]]],[]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [[],[[[[],[],[]]],[]]] => 21
[[],[[[[]],[[]]]],[]] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [[],[[[[],[[]]]],[]]] => 22
[[],[[[[],[]],[]]],[]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[],[[[[],[]],[]],[]]] => 20
[[],[[[[[]]],[]]],[]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [[],[[[[[],[]]]],[]]] => 23
[[],[[[[],[],[]]]],[]] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [[],[[[[],[],[]],[]]]] => 22
[[],[[[[],[[]]]]],[]] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [[],[[[[],[[]]],[]]]] => 23
[[],[[[[[]],[]]]],[]] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [[],[[[[[],[]]],[]]]] => 24
[[],[[[[[],[]]]]],[]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [[],[[[[[],[]],[]]]]] => 25
[[],[[[[[[]]]]]],[]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [[],[[[[[[],[]]]]]]] => 28
[[],[[],[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [[],[[]],[],[],[],[],[]] => 9
[[],[[],[],[],[],[[]]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [[],[[]],[],[],[],[[]]] => 10
[[],[[],[],[],[[]],[]]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [[],[[]],[],[],[[],[]]] => 11
[[],[[],[],[],[[],[]]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [[],[[],[],[],[[]],[]]] => 15
[[],[[],[],[],[[[]]]]] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [[],[[]],[],[],[[[]]]] => 12
[[],[[],[],[[]],[],[]]] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [[],[[]],[],[[],[],[]]] => 12
[[],[[],[],[[]],[[]]]] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [[],[[]],[],[[],[[]]]] => 13
[[],[[],[],[[],[]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [[],[[],[],[[]],[]],[]] => 14
[[],[[],[],[[[]]],[]]] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [[],[[]],[],[[[],[]]]] => 14
[[],[[],[],[[],[],[]]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [[],[[],[],[[]],[],[]]] => 15
[[],[[],[],[[],[[]]]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [[],[[],[],[[]],[[]]]] => 16
[[],[[],[],[[[]],[]]]] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [[],[[],[],[[[]]],[]]] => 17
[[],[[],[],[[[],[]]]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [[],[[],[],[[[]],[]]]] => 18
[[],[[],[],[[[[]]]]]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [[],[[]],[],[[[[]]]]] => 15
[[],[[],[[]],[],[],[]]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [[],[[]],[[],[],[],[]]] => 13
[[],[[],[[]],[],[[]]]] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [[],[[]],[[],[],[[]]]] => 14
[[],[[],[[]],[[]],[]]] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [[],[[]],[[],[[],[]]]] => 15
[[],[[],[[]],[[],[]]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [[],[[],[[]],[[]],[]]] => 16
[[],[[],[[]],[[[]]]]] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [[],[[]],[[],[[[]]]]] => 16
[[],[[],[[],[]],[],[]]] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [[],[[],[[]],[]],[],[]] => 13
[[],[[],[[[]]],[],[]]] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [[],[[]],[[[],[],[]]]] => 16
[[],[[],[[],[]],[[]]]] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [[],[[],[[]],[]],[[]]] => 14
[[],[[],[[[]]],[[]]]] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [[],[[]],[[[],[[]]]]] => 17
[[],[[],[[],[],[]],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [[],[[],[[]],[],[]],[]] => 14
[[],[[],[[],[[]]],[]]] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [[],[[],[[]],[[]]],[]] => 15
[[],[[],[[[]],[]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [[],[[],[[[]]],[]],[]] => 16
[[],[[],[[[],[]]],[]]] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [[],[[],[[[]],[]]],[]] => 17
[[],[[],[[[[]]]],[]]] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [[],[[]],[[[[],[]]]]] => 18
[[],[[],[[],[],[],[]]]] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [[],[[],[[]],[],[],[]]] => 15
[[],[[],[[],[],[[]]]]] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [[],[[],[[]],[],[[]]]] => 16
[[],[[],[[],[[]],[]]]] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [[],[[],[[]],[[],[]]]] => 17
[[],[[],[[],[[],[]]]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [[],[[],[[],[[]],[]]]] => 19
[[],[[],[[],[[[]]]]]] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [[],[[],[[]],[[[]]]]] => 18
[[],[[],[[[]],[],[]]]] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [[],[[],[[[]]],[],[]]] => 17
[[],[[],[[[]],[[]]]]] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [[],[[],[[[]]],[[]]]] => 18
[[],[[],[[[],[]],[]]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [[],[[],[[[]],[]],[]]] => 18
[[],[[],[[[[]]],[]]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [[],[[],[[[[]]]],[]]] => 20
[[],[[],[[[],[],[]]]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [[],[[],[[[]],[],[]]]] => 19
[[],[[],[[[],[[]]]]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [[],[[],[[[]],[[]]]]] => 20
[[],[[],[[[[]],[]]]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [[],[[],[[[[]]],[]]]] => 21
[[],[[],[[[[],[]]]]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [[],[[],[[[[]],[]]]]] => 22
[[],[[],[[[[[]]]]]]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [[],[[]],[[[[[]]]]]] => 19
[[],[[[]],[],[],[],[]]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [[],[[[]]],[],[],[],[]] => 11
[[],[[[]],[],[],[[]]]] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [[],[[[]]],[],[],[[]]] => 12
[[],[[[]],[],[[]],[]]] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [[],[[[]]],[],[[],[]]] => 13
[[],[[[]],[],[[],[]]]] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [[],[[[]],[],[[]],[]]] => 16
[[],[[[]],[],[[[]]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [[],[[[]]],[],[[[]]]] => 14
[[],[[[]],[[]],[],[]]] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [[],[[[]]],[[],[],[]]] => 14
[[],[[[]],[[]],[[]]]] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [[],[[[]]],[[],[[]]]] => 15
[[],[[[]],[[],[]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [[],[[[]],[[]],[]],[]] => 15
[[],[[[]],[[[]]],[]]] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [[],[[[]]],[[[],[]]]] => 16
[[],[[[]],[[],[],[]]]] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [[],[[[]],[[]],[],[]]] => 16
[[],[[[]],[[],[[]]]]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [[],[[[]],[[]],[[]]]] => 17
[[],[[[]],[[[]],[]]]] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [[],[[[]],[[[]]],[]]] => 18
[[],[[[]],[[[],[]]]]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [[],[[[]],[[[]],[]]]] => 19
[[],[[[]],[[[[]]]]]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [[],[[[]]],[[[[]]]]] => 17
[[],[[[],[]],[],[],[]]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [[],[[[]],[]],[],[],[]] => 12
[[],[[[[]]],[],[],[]]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [[],[[[[]]]],[],[],[]] => 14
[[],[[[],[]],[],[[]]]] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [[],[[[]],[]],[],[[]]] => 13
[[],[[[[]]],[],[[]]]] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [[],[[[[]]]],[],[[]]] => 15
[[],[[[],[]],[[]],[]]] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [[],[[[]],[]],[[],[]]] => 14
[[],[[[[]]],[[]],[]]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [[],[[[[]]]],[[],[]]] => 16
[[],[[[],[]],[[],[]]]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[],[[[]],[]],[[]],[]] => 13
[[],[[[],[]],[[[]]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [[],[[[]],[]],[[[]]]] => 15
[[],[[[[]]],[[],[]]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [[],[[[[]]],[[]],[]]] => 18
[[],[[[[]]],[[[]]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [[],[[[[]]]],[[[]]]] => 17
[[],[[[],[],[]],[],[]]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [[],[[[]],[],[]],[],[]] => 13
[[],[[[],[[]]],[],[]]] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [[],[[[]],[[]]],[],[]] => 14
[[],[[[[]],[]],[],[]]] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [[],[[[[]]],[]],[],[]] => 15
[[],[[[[],[]]],[],[]]] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [[],[[[[]],[]]],[],[]] => 16
[[],[[[[[]]]],[],[]]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [[],[[[[[]]]]],[],[]] => 18
[[],[[[],[],[]],[[]]]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [[],[[[]],[],[]],[[]]] => 14
[[],[[[],[[]]],[[]]]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [[],[[[]],[[]]],[[]]] => 15
[[],[[[[]],[]],[[]]]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [[],[[[[]]],[]],[[]]] => 16
[[],[[[[],[]]],[[]]]] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [[],[[[[]],[]]],[[]]] => 17
[[],[[[[[]]]],[[]]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [[],[[[[[]]]]],[[]]] => 19
[[],[[[],[],[],[]],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [[],[[[]],[],[],[]],[]] => 14
[[],[[[],[],[[]]],[]]] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [[],[[[]],[],[[]]],[]] => 15
[[],[[[],[[]],[]],[]]] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [[],[[[]],[[],[]]],[]] => 16
[[],[[[],[[],[]]],[]]] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [[],[[[],[[]],[]]],[]] => 18
[[],[[[],[[[]]]],[]]] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [[],[[[]],[[[]]]],[]] => 17
[[],[[[[]],[],[]],[]]] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [[],[[[[]]],[],[]],[]] => 16
[[],[[[[]],[[]]],[]]] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [[],[[[[]]],[[]]],[]] => 17
[[],[[[[],[]],[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[],[[[[]],[]],[]],[]] => 17
[[],[[[[[]]],[]],[]]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [[],[[[[[]]]],[]],[]] => 19
[[],[[[[],[],[]]],[]]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [[],[[[[]],[],[]]],[]] => 18
[[],[[[[],[[]]]],[]]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [[],[[[[]],[[]]]],[]] => 19
[[],[[[[[]],[]]],[]]] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [[],[[[[[]]],[]]],[]] => 20
[[],[[[[[],[]]]],[]]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [[],[[[[[]],[]]]],[]] => 21
[[],[[[[[[]]]]],[]]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [[],[[[[[[]]]]]],[]] => 23
[[],[[[],[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [[],[[[]],[],[],[],[]]] => 15
[[],[[[],[],[],[[]]]]] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [[],[[[]],[],[],[[]]]] => 16
[[],[[[],[],[[]],[]]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [[],[[[]],[],[[],[]]]] => 17
[[],[[[],[],[[],[]]]]] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [[],[[[],[],[[]],[]]]] => 20
[[],[[[],[],[[[]]]]]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [[],[[[]],[],[[[]]]]] => 18
[[],[[[],[[]],[],[]]]] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [[],[[[]],[[],[],[]]]] => 18
[[],[[[],[[]],[[]]]]] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [[],[[[]],[[],[[]]]]] => 19
[[],[[[],[[],[]],[]]]] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [[],[[[],[[]],[]],[]]] => 19
[[],[[[],[[[]]],[]]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [[],[[[]],[[[],[]]]]] => 20
[[],[[[],[[],[],[]]]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [[],[[[],[[]],[],[]]]] => 20
[[],[[[],[[],[[]]]]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [[],[[[],[[]],[[]]]]] => 21
[[],[[[],[[[]],[]]]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [[],[[[],[[[]]],[]]]] => 22
[[],[[[],[[[],[]]]]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [[],[[[],[[[]],[]]]]] => 23
[[],[[[],[[[[]]]]]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [[],[[[]],[[[[]]]]]] => 21
[[],[[[[]],[],[],[]]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [[],[[[[]]],[],[],[]]] => 17
[[],[[[[]],[],[[]]]]] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [[],[[[[]]],[],[[]]]] => 18
[[],[[[[]],[[]],[]]]] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [[],[[[[]]],[[],[]]]] => 19
[[],[[[[]],[[],[]]]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [[],[[[[]],[[]],[]]]] => 21
[[],[[[[]],[[[]]]]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [[],[[[[]]],[[[]]]]] => 20
[[],[[[[],[]],[],[]]]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [[],[[[[]],[]],[],[]]] => 18
[[],[[[[[]]],[],[]]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [[],[[[[[]]]],[],[]]] => 20
[[],[[[[],[]],[[]]]]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [[],[[[[]],[]],[[]]]] => 19
[[],[[[[[]]],[[]]]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [[],[[[[[]]]],[[]]]] => 21
[[],[[[[],[],[]],[]]]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [[],[[[[]],[],[]],[]]] => 19
[[],[[[[],[[]]],[]]]] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [[],[[[[]],[[]]],[]]] => 20
[[],[[[[[]],[]],[]]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [[],[[[[[]]],[]],[]]] => 21
[[],[[[[[],[]]],[]]]] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [[],[[[[[]],[]]],[]]] => 22
[[],[[[[[[]]]],[]]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [[],[[[[[[]]]]],[]]] => 24
[[],[[[[],[],[],[]]]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [[],[[[[]],[],[],[]]]] => 20
[[],[[[[],[],[[]]]]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [[],[[[[]],[],[[]]]]] => 21
[[],[[[[],[[]],[]]]]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [[],[[[[]],[[],[]]]]] => 22
[[],[[[[],[[],[]]]]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [[],[[[[],[[]],[]]]]] => 24
[[],[[[[],[[[]]]]]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [[],[[[[]],[[[]]]]]] => 23
[[],[[[[[]],[],[]]]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [[],[[[[[]]],[],[]]]] => 22
[[],[[[[[]],[[]]]]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [[],[[[[[]]],[[]]]]] => 23
[[],[[[[[],[]],[]]]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [[],[[[[[]],[]],[]]]] => 23
[[],[[[[[[]]],[]]]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [[],[[[[[[]]]],[]]]] => 25
[[],[[[[[],[],[]]]]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [[],[[[[[]],[],[]]]]] => 24
[[],[[[[[],[[]]]]]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [[],[[[[[]],[[]]]]]] => 25
[[],[[[[[[]],[]]]]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [[],[[[[[[]]],[]]]]] => 26
[[],[[[[[[],[]]]]]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [[],[[[[[[]],[]]]]]] => 27
[[],[[[[[[[]]]]]]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [[],[[[[[[[]]]]]]]] => 29
[[[]],[],[],[],[[],[]]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [[[]],[],[],[],[[]],[]] => 10
[[[]],[],[],[[],[]],[]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [[[]],[],[],[[],[]],[]] => 11
[[[]],[],[],[[],[],[]]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [[[]],[],[],[[]],[],[]] => 10
[[[]],[],[],[[],[[]]]] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [[[]],[],[],[[]],[[]]] => 11
[[[]],[],[],[[[]],[]]] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [[[]],[],[],[[[]]],[]] => 12
[[[]],[],[],[[[],[]]]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [[[]],[],[],[[[]],[]]] => 13
[[[]],[],[[]],[[],[]]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [[[]],[],[[]],[[]],[]] => 11
[[[]],[],[[],[]],[],[]] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [[[]],[],[[],[]],[],[]] => 11
[[[]],[],[[],[]],[[]]] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [[[]],[],[[],[]],[[]]] => 12
[[[]],[],[[],[],[]],[]] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [[[]],[],[[],[],[]],[]] => 12
[[[]],[],[[],[[]]],[]] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [[[]],[],[[],[[]]],[]] => 13
[[[]],[],[[[]],[]],[]] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [[[]],[],[[[],[]]],[]] => 14
[[[]],[],[[[],[]]],[]] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [[[]],[],[[[],[]],[]]] => 15
[[[]],[],[[],[],[],[]]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [[[]],[],[[]],[],[],[]] => 10
[[[]],[],[[],[],[[]]]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [[[]],[],[[]],[],[[]]] => 11
[[[]],[],[[],[[]],[]]] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [[[]],[],[[]],[[],[]]] => 12
[[[]],[],[[],[[],[]]]] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [[[]],[],[[],[[]],[]]] => 14
[[[]],[],[[],[[[]]]]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [[[]],[],[[]],[[[]]]] => 13
[[[]],[],[[[]],[],[]]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [[[]],[],[[[]]],[],[]] => 12
[[[]],[],[[[]],[[]]]] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [[[]],[],[[[]]],[[]]] => 13
[[[]],[],[[[],[]],[]]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [[[]],[],[[[]],[]],[]] => 13
[[[]],[],[[[[]]],[]]] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [[[]],[],[[[[]]]],[]] => 15
[[[]],[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [[[]],[],[[[]],[],[]]] => 14
[[[]],[],[[[],[[]]]]] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [[[]],[],[[[]],[[]]]] => 15
[[[]],[],[[[[]],[]]]] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [[[]],[],[[[[]]],[]]] => 16
[[[]],[],[[[[],[]]]]] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [[[]],[],[[[[]],[]]]] => 17
[[[]],[[]],[],[[],[]]] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [[[]],[[]],[],[[]],[]] => 11
[[[]],[[]],[[],[]],[]] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [[[]],[[]],[[],[]],[]] => 12
[[[]],[[]],[[],[],[]]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [[[]],[[]],[[]],[],[]] => 11
[[[]],[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [[[]],[[]],[[]],[[]]] => 12
[[[]],[[]],[[[]],[]]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [[[]],[[]],[[[]]],[]] => 13
[[[]],[[]],[[[],[]]]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [[[]],[[]],[[[]],[]]] => 14
[[[]],[[],[]],[],[],[]] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [[[]],[[],[]],[],[],[]] => 11
[[[]],[[],[]],[],[[]]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [[[]],[[],[]],[],[[]]] => 12
[[[]],[[],[]],[[]],[]] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [[[]],[[],[]],[[],[]]] => 13
[[[]],[[],[]],[[],[]]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [[[]],[[],[]],[[]],[]] => 12
[[[]],[[],[]],[[[]]]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [[[]],[[],[]],[[[]]]] => 14
[[[]],[[[]]],[[],[]]] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [[[]],[[[]]],[[]],[]] => 13
[[[]],[[],[],[]],[],[]] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [[[]],[[],[],[]],[],[]] => 12
[[[]],[[],[[]]],[],[]] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [[[]],[[],[[]]],[],[]] => 13
[[[]],[[[]],[]],[],[]] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [[[]],[[[],[]]],[],[]] => 14
[[[]],[[[],[]]],[],[]] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [[[]],[[[],[]],[],[]]] => 16
[[[]],[[],[],[]],[[]]] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [[[]],[[],[],[]],[[]]] => 13
[[[]],[[],[[]]],[[]]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [[[]],[[],[[]]],[[]]] => 14
[[[]],[[[]],[]],[[]]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [[[]],[[[],[]]],[[]]] => 15
[[[]],[[[],[]]],[[]]] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [[[]],[[[],[]],[[]]]] => 17
[[[]],[[],[],[],[]],[]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [[[]],[[],[],[],[]],[]] => 13
[[[]],[[],[],[[]]],[]] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [[[]],[[],[],[[]]],[]] => 14
[[[]],[[],[[]],[]],[]] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [[[]],[[],[[],[]]],[]] => 15
[[[]],[[],[[],[]]],[]] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [[[]],[[],[[],[]],[]]] => 16
[[[]],[[],[[[]]]],[]] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [[[]],[[],[[[]]]],[]] => 16
[[[]],[[[]],[],[]],[]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [[[]],[[[],[],[]]],[]] => 16
[[[]],[[[]],[[]]],[]] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [[[]],[[[],[[]]]],[]] => 17
[[[]],[[[],[]],[]],[]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[[]],[[[],[]],[]],[]] => 15
[[[]],[[[[]]],[]],[]] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [[[]],[[[[],[]]]],[]] => 18
[[[]],[[[],[],[]]],[]] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [[[]],[[[],[],[]],[]]] => 17
[[[]],[[[],[[]]]],[]] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [[[]],[[[],[[]]],[]]] => 18
[[[]],[[[[]],[]]],[]] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [[[]],[[[[],[]]],[]]] => 19
[[[]],[[[[],[]]]],[]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [[[]],[[[[],[]],[]]]] => 20
[[[]],[[],[],[],[],[]]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [[[]],[[]],[],[],[],[]] => 10
[[[]],[[],[],[],[[]]]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [[[]],[[]],[],[],[[]]] => 11
[[[]],[[],[],[[]],[]]] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [[[]],[[]],[],[[],[]]] => 12
[[[]],[[],[],[[],[]]]] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [[[]],[[],[],[[]],[]]] => 15
[[[]],[[],[],[[[]]]]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [[[]],[[]],[],[[[]]]] => 13
[[[]],[[],[[]],[],[]]] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [[[]],[[]],[[],[],[]]] => 13
[[[]],[[],[[]],[[]]]] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [[[]],[[]],[[],[[]]]] => 14
[[[]],[[],[[],[]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [[[]],[[],[[]],[]],[]] => 14
[[[]],[[],[[[]]],[]]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [[[]],[[]],[[[],[]]]] => 15
[[[]],[[],[[],[],[]]]] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [[[]],[[],[[]],[],[]]] => 15
[[[]],[[],[[],[[]]]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [[[]],[[],[[]],[[]]]] => 16
[[[]],[[],[[[]],[]]]] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [[[]],[[],[[[]]],[]]] => 17
[[[]],[[],[[[],[]]]]] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [[[]],[[],[[[]],[]]]] => 18
[[[]],[[],[[[[]]]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [[[]],[[]],[[[[]]]]] => 16
[[[]],[[[]],[],[],[]]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [[[]],[[[]]],[],[],[]] => 12
[[[]],[[[]],[],[[]]]] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [[[]],[[[]]],[],[[]]] => 13
[[[]],[[[]],[[]],[]]] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [[[]],[[[]]],[[],[]]] => 14
[[[]],[[[]],[[],[]]]] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [[[]],[[[]],[[]],[]]] => 16
[[[]],[[[]],[[[]]]]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [[[]],[[[]]],[[[]]]] => 15
[[[]],[[[],[]],[],[]]] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [[[]],[[[]],[]],[],[]] => 13
[[[]],[[[[]]],[],[]]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [[[]],[[[[]]]],[],[]] => 15
[[[]],[[[],[]],[[]]]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [[[]],[[[]],[]],[[]]] => 14
[[[]],[[[[]]],[[]]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [[[]],[[[[]]]],[[]]] => 16
[[[]],[[[],[],[]],[]]] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [[[]],[[[]],[],[]],[]] => 14
[[[]],[[[],[[]]],[]]] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [[[]],[[[]],[[]]],[]] => 15
[[[]],[[[[]],[]],[]]] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [[[]],[[[[]]],[]],[]] => 16
[[[]],[[[[],[]]],[]]] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [[[]],[[[[]],[]]],[]] => 17
[[[]],[[[[[]]]],[]]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [[[]],[[[[[]]]]],[]] => 19
[[[]],[[[],[],[],[]]]] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [[[]],[[[]],[],[],[]]] => 15
[[[]],[[[],[],[[]]]]] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [[[]],[[[]],[],[[]]]] => 16
[[[]],[[[],[[]],[]]]] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [[[]],[[[]],[[],[]]]] => 17
[[[]],[[[],[[],[]]]]] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [[[]],[[[],[[]],[]]]] => 19
[[[]],[[[],[[[]]]]]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [[[]],[[[]],[[[]]]]] => 18
[[[]],[[[[]],[],[]]]] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [[[]],[[[[]]],[],[]]] => 17
[[[]],[[[[]],[[]]]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [[[]],[[[[]]],[[]]]] => 18
[[[]],[[[[],[]],[]]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [[[]],[[[[]],[]],[]]] => 18
[[[]],[[[[[]]],[]]]] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [[[]],[[[[[]]]],[]]] => 20
[[[]],[[[[],[],[]]]]] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [[[]],[[[[]],[],[]]]] => 19
[[[]],[[[[],[[]]]]]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [[[]],[[[[]],[[]]]]] => 20
[[[]],[[[[[]],[]]]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [[[]],[[[[[]]],[]]]] => 21
[[[]],[[[[[],[]]]]]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [[[]],[[[[[]],[]]]]] => 22
[[[],[]],[],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[[],[]],[],[],[],[],[]] => 10
[[[],[]],[],[],[],[[]]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [[[],[]],[],[],[],[[]]] => 11
[[[],[]],[],[],[[]],[]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [[[],[]],[],[],[[],[]]] => 12
[[[],[]],[],[],[[],[]]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [[[],[]],[],[],[[]],[]] => 11
[[[],[]],[],[],[[[]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [[[],[]],[],[],[[[]]]] => 13
[[[[]]],[],[],[[],[]]] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [[[[]]],[],[],[[]],[]] => 12
[[[],[]],[],[[],[],[]]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [[[],[]],[],[[]],[],[]] => 11
[[[],[]],[],[[],[[]]]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [[[],[]],[],[[]],[[]]] => 12
[[[[]]],[],[[],[],[]]] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [[[[]]],[],[[]],[],[]] => 12
[[[[]]],[],[[],[[]]]] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [[[[]]],[],[[]],[[]]] => 13
[[[],[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[]],[],[],[],[],[],[]] => 9
[[[],[],[],[],[],[[]]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [[[]],[],[],[],[],[[]]] => 10
[[[],[],[],[],[[]],[]]] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [[[]],[],[],[],[[],[]]] => 11
[[[],[],[],[],[[[]]]]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [[[]],[],[],[],[[[]]]] => 12
[[[],[],[],[[]],[],[]]] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [[[]],[],[],[[],[],[]]] => 12
[[[],[],[],[[]],[[]]]] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [[[]],[],[],[[],[[]]]] => 13
[[[],[],[],[[[]]],[]]] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [[[]],[],[],[[[],[]]]] => 14
[[[],[],[],[[[[]]]]]] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [[[]],[],[],[[[[]]]]] => 15
[[[],[],[[]],[],[],[]]] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [[[]],[],[[],[],[],[]]] => 13
[[[],[],[[]],[],[[]]]] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [[[]],[],[[],[],[[]]]] => 14
[[[],[],[[]],[[]],[]]] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [[[]],[],[[],[[],[]]]] => 15
[[[],[],[[]],[[[]]]]] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [[[]],[],[[],[[[]]]]] => 16
[[[],[],[[[]]],[],[]]] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [[[]],[],[[[],[],[]]]] => 16
[[[],[],[[[]]],[[]]]] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [[[]],[],[[[],[[]]]]] => 17
[[[],[],[[[[]]]],[]]] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [[[]],[],[[[[],[]]]]] => 18
[[[],[],[[[[[]]]]]]] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [[[]],[],[[[[[]]]]]] => 19
[[[],[[]],[],[],[],[]]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [[[]],[[],[],[],[],[]]] => 14
[[[],[[]],[],[],[[]]]] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [[[]],[[],[],[],[[]]]] => 15
[[[],[[]],[],[[]],[]]] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [[[]],[[],[],[[],[]]]] => 16
[[[],[[]],[],[[[]]]]] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [[[]],[[],[],[[[]]]]] => 17
[[[],[[]],[[]],[],[]]] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [[[]],[[],[[],[],[]]]] => 17
[[[],[[]],[[]],[[]]]] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [[[]],[[],[[],[[]]]]] => 18
[[[],[[]],[[[]]],[]]] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [[[]],[[],[[[],[]]]]] => 19
[[[],[[]],[[[[]]]]]] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [[[]],[[],[[[[]]]]]] => 20
[[[],[[[]]],[],[],[]]] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [[[]],[[[],[],[],[]]]] => 18
[[[],[[[]]],[],[[]]]] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [[[]],[[[],[],[[]]]]] => 19
[[[],[[[]]],[[]],[]]] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [[[]],[[[],[[],[]]]]] => 20
[[[],[[[]]],[[[]]]]] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [[[]],[[[],[[[]]]]]] => 21
[[[],[[[[]]]],[],[]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [[[]],[[[[],[],[]]]]] => 21
[[[],[[[[]]]],[[]]]] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [[[]],[[[[],[[]]]]]] => 22
[[[],[[[[[]]]]],[]]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [[[]],[[[[[],[]]]]]] => 23
[[[],[[[[[[]]]]]]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [[[]],[[[[[[]]]]]]] => 24
[[[[]],[],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[]]],[],[],[],[],[]] => 11
[[[[]],[],[],[],[[]]]] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [[[[]]],[],[],[],[[]]] => 12
[[[[]],[],[],[[]],[]]] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [[[[]]],[],[],[[],[]]] => 13
[[[[]],[],[],[[[]]]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [[[[]]],[],[],[[[]]]] => 14
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Generating function
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Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,2,1,1 1,3,3,3,2,1,1 1,4,6,7,7,5,5,3,2,1,1 1,5,10,14,17,16,16,14,11,9,7,5,3,2,1,1 1,6,15,25,35,40,43,44,40,37,32,28,22,18,13,11,7,5,3,2,1,1
$F_{2} = q$
$F_{3} = q^{2} + q^{3}$
$F_{4} = q^{3} + 2\ q^{4} + q^{5} + q^{6}$
$F_{5} = q^{4} + 3\ q^{5} + 3\ q^{6} + 3\ q^{7} + 2\ q^{8} + q^{9} + q^{10}$
$F_{6} = q^{5} + 4\ q^{6} + 6\ q^{7} + 7\ q^{8} + 7\ q^{9} + 5\ q^{10} + 5\ q^{11} + 3\ q^{12} + 2\ q^{13} + q^{14} + q^{15}$
$F_{7} = q^{6} + 5\ q^{7} + 10\ q^{8} + 14\ q^{9} + 17\ q^{10} + 16\ q^{11} + 16\ q^{12} + 14\ q^{13} + 11\ q^{14} + 9\ q^{15} + 7\ q^{16} + 5\ q^{17} + 3\ q^{18} + 2\ q^{19} + q^{20} + q^{21}$
$F_{8} = q^{7} + 6\ q^{8} + 15\ q^{9} + 25\ q^{10} + 35\ q^{11} + 40\ q^{12} + 43\ q^{13} + 44\ q^{14} + 40\ q^{15} + 37\ q^{16} + 32\ q^{17} + 28\ q^{18} + 22\ q^{19} + 18\ q^{20} + 13\ q^{21} + 11\ q^{22} + 7\ q^{23} + 5\ q^{24} + 3\ q^{25} + 2\ q^{26} + q^{27} + q^{28}$
Description
The path length of an ordered tree.
This is the sum of the lengths of all paths from the root to a node, see Section 2.3.4.5 of [1].
This is the sum of the lengths of all paths from the root to a node, see Section 2.3.4.5 of [1].
Map
Zeilberger's Strahler bijection
Description
Zeilberger's Strahler bijection between ordered and binary trees.
This is a bijection sending the pruning number of the ordered tree to the Strahler number of the binary tree.
This is a bijection sending the pruning number of the ordered tree to the Strahler number of the binary tree.
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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