Identifier
-
Mp00139:
Ordered trees
—Zeilberger's Strahler bijection⟶
Binary trees
Mp00141: Binary trees —pruning number to logarithmic height⟶ Dyck paths
St000920: Dyck paths ⟶ ℤ
Values
[[]] => [.,.] => [1,0] => 1
[[],[]] => [.,[.,.]] => [1,0,1,0] => 1
[[[]]] => [[.,.],.] => [1,1,0,0] => 1
[[],[],[]] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 1
[[],[[]]] => [.,[[.,.],.]] => [1,0,1,1,0,0] => 1
[[[]],[]] => [[.,[.,.]],.] => [1,1,0,0,1,0] => 1
[[[],[]]] => [[.,.],[.,.]] => [1,1,1,0,0,0] => 2
[[[[]]]] => [[[.,.],.],.] => [1,1,0,1,0,0] => 1
[[],[],[],[]] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 1
[[],[],[[]]] => [.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0] => 1
[[],[[]],[]] => [.,[[.,[.,.]],.]] => [1,0,1,1,0,0,1,0] => 1
[[],[[],[]]] => [.,[[.,.],[.,.]]] => [1,0,1,1,1,0,0,0] => 2
[[],[[[]]]] => [.,[[[.,.],.],.]] => [1,0,1,1,0,1,0,0] => 1
[[[]],[],[]] => [[.,[.,[.,.]]],.] => [1,1,0,0,1,0,1,0] => 1
[[[]],[[]]] => [[.,[[.,.],.]],.] => [1,1,0,0,1,1,0,0] => 1
[[[],[]],[]] => [[.,[.,.]],[.,.]] => [1,1,1,0,1,0,0,0] => 2
[[[[]]],[]] => [[[.,[.,.]],.],.] => [1,1,0,1,0,0,1,0] => 1
[[[],[],[]]] => [[.,.],[.,[.,.]]] => [1,1,1,0,0,0,1,0] => 2
[[[],[[]]]] => [[.,.],[[.,.],.]] => [1,1,1,0,0,1,0,0] => 2
[[[[]],[]]] => [[[.,.],.],[.,.]] => [1,1,1,1,0,0,0,0] => 2
[[[[],[]]]] => [[[.,.],[.,.]],.] => [1,1,0,1,1,0,0,0] => 2
[[[[[]]]]] => [[[[.,.],.],.],.] => [1,1,0,1,0,1,0,0] => 1
[[],[],[],[],[]] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 1
[[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,0,0] => 1
[[],[],[[]],[]] => [.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,0,1,0] => 1
[[],[],[[],[]]] => [.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0] => 2
[[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,0,1,0,0] => 1
[[],[[]],[],[]] => [.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,0,1,0,1,0] => 1
[[],[[]],[[]]] => [.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,0,1,1,0,0] => 1
[[],[[],[]],[]] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,0] => 2
[[],[[[]]],[]] => [.,[[[.,[.,.]],.],.]] => [1,0,1,1,0,1,0,0,1,0] => 1
[[],[[],[],[]]] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0] => 2
[[],[[],[[]]]] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0] => 2
[[],[[[]],[]]] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0] => 2
[[],[[[],[]]]] => [.,[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,0] => 2
[[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 1
[[[]],[],[],[]] => [[.,[.,[.,[.,.]]]],.] => [1,1,0,0,1,0,1,0,1,0] => 1
[[[]],[],[[]]] => [[.,[.,[[.,.],.]]],.] => [1,1,0,0,1,0,1,1,0,0] => 1
[[[]],[[]],[]] => [[.,[[.,[.,.]],.]],.] => [1,1,0,0,1,1,0,0,1,0] => 1
[[[]],[[],[]]] => [[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => 2
[[[]],[[[]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,0,1,1,0,1,0,0] => 1
[[[],[]],[],[]] => [[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => 2
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1
[[[],[]],[[]]] => [[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => 2
[[[[]]],[[]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,1,0,0] => 1
[[[],[],[]],[]] => [[.,[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,0] => 2
[[[],[[]]],[]] => [[.,[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,0] => 2
[[[[]],[]],[]] => [[[.,[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0] => 2
[[[[],[]]],[]] => [[[.,[.,.]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0] => 2
[[[[[]]]],[]] => [[[[.,[.,.]],.],.],.] => [1,1,0,1,0,1,0,0,1,0] => 1
[[[],[],[],[]]] => [[.,.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0] => 2
[[[],[],[[]]]] => [[.,.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0] => 2
[[[],[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,0] => 2
[[[],[[],[]]]] => [[.,[[.,.],[.,.]]],.] => [1,1,0,0,1,1,1,0,0,0] => 2
[[[],[[[]]]]] => [[.,.],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2
[[[[]],[],[]]] => [[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => 2
[[[[]],[[]]]] => [[[.,.],.],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0] => 2
[[[[],[]],[]]] => [[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => 2
[[[[[]]],[]]] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0] => 2
[[[[],[],[]]]] => [[[.,.],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => 2
[[[[],[[]]]]] => [[[.,.],[[.,.],.]],.] => [1,1,0,1,1,0,0,1,0,0] => 2
[[[[[]],[]]]] => [[[[.,.],.],[.,.]],.] => [1,1,0,1,1,1,0,0,0,0] => 2
[[[[[],[]]]]] => [[[[.,.],[.,.]],.],.] => [1,1,0,1,0,1,1,0,0,0] => 2
[[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0] => 1
[[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[],[],[],[[]],[]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => 1
[[],[],[],[[],[]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
[[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 1
[[],[],[[]],[],[]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => 1
[[],[],[[]],[[]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => 1
[[],[],[[],[]],[]] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => 2
[[],[],[[[]]],[]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1
[[],[],[[],[],[]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => 2
[[],[],[[],[[]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2
[[],[],[[[]],[]]] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[],[],[[[],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => 2
[[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 1
[[],[[]],[],[],[]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0] => 1
[[],[[]],[],[[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0] => 1
[[],[[]],[[]],[]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 1
[[],[[]],[[],[]]] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 2
[[],[[]],[[[]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0] => 1
[[],[[],[]],[],[]] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 2
[[],[[[]]],[],[]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1
[[],[[],[]],[[]]] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2
[[],[[[]]],[[]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0] => 1
[[],[[],[],[]],[]] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 2
[[],[[],[[]]],[]] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 2
[[],[[[]],[]],[]] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 2
[[],[[[],[]]],[]] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 2
[[],[[[[]]]],[]] => [.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1
[[],[[],[],[],[]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => 2
[[],[[],[],[[]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[[],[[],[[]],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 2
[[],[[],[[],[]]]] => [.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[[],[[],[[[]]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2
[[],[[[]],[],[]]] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 2
[[],[[[]],[[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[],[[[],[]],[]]] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 2
[[],[[[[]]],[]]] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 2
>>> Load all 1678 entries. <<<[[],[[[],[],[]]]] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 2
[[],[[[],[[]]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 2
[[],[[[[]],[]]]] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 2
[[],[[[[],[]]]]] => [.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 2
[[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 1
[[[]],[],[],[],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[]],[],[],[[]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0] => 1
[[[]],[],[[]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0] => 1
[[[]],[],[[],[]]] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 2
[[[]],[],[[[]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0] => 1
[[[]],[[]],[],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[]],[[]],[[]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0] => 1
[[[]],[[],[]],[]] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 2
[[[]],[[[]]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[]],[[],[],[]]] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 2
[[[]],[[[]],[]]] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 2
[[[]],[[[],[]]]] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 2
[[[]],[[[[]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0] => 1
[[[],[]],[],[],[]] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 2
[[[[]]],[],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[],[]],[],[[]]] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[[[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0] => 1
[[[],[]],[[]],[]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 2
[[[[]]],[[]],[]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[],[]],[[],[]]] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[[[],[]],[[[]]]] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2
[[[[]]],[[],[]]] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 2
[[[[]]],[[[]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0] => 1
[[[],[],[]],[],[]] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 2
[[[],[[]]],[],[]] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[[[[]],[]],[],[]] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[[[[],[]]],[],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 2
[[[[[]]]],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[],[],[]],[[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2
[[[],[[]]],[[]]] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[[[[]],[]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[[[[],[]]],[[]]] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2
[[[[[]]]],[[]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0] => 1
[[[],[],[],[]],[]] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 2
[[[],[],[[]]],[]] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 2
[[[],[[]],[]],[]] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 2
[[[],[[],[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[[],[[[]]]],[]] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 2
[[[[]],[],[]],[]] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 2
[[[[]],[[]]],[]] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 2
[[[[],[]],[]],[]] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 2
[[[[[]]],[]],[]] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 2
[[[[],[],[]]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => 2
[[[[],[[]]]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => 2
[[[[[]],[]]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => 2
[[[[[],[]]]],[]] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => 2
[[[[[[]]]]],[]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 2
[[[],[],[],[[]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[[],[],[[]],[]]] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[[],[],[[],[]]]] => [[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[[],[],[[[]]]]] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[[],[[]],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 2
[[[],[[]],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[[],[[],[]],[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 2
[[[],[[[]]],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 2
[[[],[[],[],[]]]] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[[[],[[],[[]]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[[],[[[]],[]]]] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[[[],[[[],[]]]]] => [[.,[[[.,.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[[],[[[[]]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2
[[[[]],[],[],[]]] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 2
[[[[]],[],[[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[[[[]],[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[[[[]],[[],[]]]] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => 2
[[[[]],[[[]]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2
[[[[],[]],[],[]]] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 2
[[[[[]]],[],[]]] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
[[[[],[]],[[]]]] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 2
[[[[[]]],[[]]]] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2
[[[[],[],[]],[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
[[[[],[[]]],[]]] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[[[[[]],[]],[]]] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 2
[[[[[],[]]],[]]] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 2
[[[[[[]]]],[]]] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 2
[[[[],[],[],[]]]] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => 2
[[[[],[],[[]]]]] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[[[],[[]],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => 2
[[[[],[[],[]]]]] => [[[.,[[.,.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[[[],[[[]]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => 2
[[[[[]],[],[]]]] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[[[[[]],[[]]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => 2
[[[[[],[]],[]]]] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 2
[[[[[[]]],[]]]] => [[[[[.,.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => 2
[[[[[],[],[]]]]] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => 2
[[[[[],[[]]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => 2
[[[[[[]],[]]]]] => [[[[[.,.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => 2
[[[[[[],[]]]]]] => [[[[[.,.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => 2
[[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0] => 1
[[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[],[],[],[],[[]],[]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1
[[],[],[],[],[[],[]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2
[[],[],[],[],[[[]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1
[[],[],[],[[]],[],[]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1
[[],[],[],[[]],[[]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1
[[],[],[],[[],[]],[]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2
[[],[],[],[[[]]],[]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1
[[],[],[],[[],[],[]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[[],[],[],[[],[[]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[[],[],[],[[[]],[]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[],[],[],[[[],[]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2
[[],[],[],[[[[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1
[[],[],[[]],[],[],[]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1
[[],[],[[]],[],[[]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1
[[],[],[[]],[[]],[]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1
[[],[],[[]],[[],[]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[[],[],[[]],[[[]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1
[[],[],[[],[]],[],[]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[[],[],[[[]]],[],[]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1
[[],[],[[],[]],[[]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[[],[],[[[]]],[[]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1
[[],[],[[],[],[]],[]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2
[[],[],[[],[[]]],[]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2
[[],[],[[[]],[]],[]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[[],[],[[[],[]]],[]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2
[[],[],[[[[]]]],[]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1
[[],[],[[],[],[],[]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[[],[],[[],[],[[]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[[],[],[[],[[]],[]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[[],[],[[],[[],[]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[[],[],[[],[[[]]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[[],[],[[[]],[],[]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[[],[],[[[]],[[]]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[],[],[[[],[]],[]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2
[[],[],[[[[]]],[]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2
[[],[],[[[],[],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[[],[],[[[],[[]]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2
[[],[],[[[[]],[]]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2
[[],[],[[[[],[]]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2
[[],[],[[[[[]]]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1
[[],[[]],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[],[[]],[],[],[[]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1
[[],[[]],[],[[]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1
[[],[[]],[],[[],[]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[[],[[]],[],[[[]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1
[[],[[]],[[]],[],[]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1
[[],[[]],[[]],[[]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1
[[],[[]],[[],[]],[]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[[],[[]],[[[]]],[]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1
[[],[[]],[[],[],[]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[[],[[]],[[],[[]]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[[],[[]],[[[]],[]]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[[],[[]],[[[],[]]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2
[[],[[]],[[[[]]]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1
[[],[[],[]],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[[],[[[]]],[],[],[]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1
[[],[[],[]],[],[[]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[],[[[]]],[],[[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1
[[],[[],[]],[[]],[]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[[],[[[]]],[[]],[]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1
[[],[[],[]],[[],[]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[[],[[],[]],[[[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[[],[[[]]],[[],[]]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[[],[[[]]],[[[]]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1
[[],[[],[],[]],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[[],[[],[[]]],[],[]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[[],[[[]],[]],[],[]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[[],[[[],[]]],[],[]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[[],[[[[]]]],[],[]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1
[[],[[],[],[]],[[]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[[],[[],[[]]],[[]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[[],[[[]],[]],[[]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[[],[[[],[]]],[[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2
[[],[[[[]]]],[[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1
[[],[[],[],[],[]],[]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2
[[],[[],[],[[]]],[]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2
[[],[[],[[]],[]],[]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[[],[[],[[],[]]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[],[[],[[[]]]],[]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2
[[],[[[]],[],[]],[]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[[],[[[]],[[]]],[]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[[],[[[],[]],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[[],[[[[]]],[]],[]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[[],[[[],[],[]]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2
[[],[[[],[[]]]],[]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2
[[],[[[[]],[]]],[]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2
[[],[[[[],[]]]],[]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2
[[],[[[[[]]]]],[]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1
[[],[[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[[],[[],[],[],[[]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[],[[],[],[[]],[]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[],[[],[],[[],[]]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[],[[],[],[[[]]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[],[[],[[]],[],[]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[[],[[],[[]],[[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[],[[],[[],[]],[]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[[],[[],[[[]]],[]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[[],[[],[[],[],[]]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[[],[[],[[],[[]]]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[],[[],[[[]],[]]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[[],[[],[[[],[]]]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[],[[],[[[[]]]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[[],[[[]],[],[],[]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[[],[[[]],[],[[]]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[[],[[[]],[[]],[]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[[],[[[]],[[],[]]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2
[[],[[[]],[[[]]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[[],[[[],[]],[],[]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2
[[],[[[[]]],[],[]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[[],[[[],[]],[[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[[],[[[[]]],[[]]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[[],[[[],[],[]],[]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[[],[[[],[[]]],[]]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[[],[[[[]],[]],[]]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[[],[[[[],[]]],[]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2
[[],[[[[[]]]],[]]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2
[[],[[[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[[],[[[],[],[[]]]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[],[[[],[[]],[]]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[[],[[[],[[],[]]]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[],[[[],[[[]]]]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2
[[],[[[[]],[],[]]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[[],[[[[]],[[]]]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[[],[[[[],[]],[]]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[[],[[[[[]]],[]]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2
[[],[[[[],[],[]]]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[[],[[[[],[[]]]]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2
[[],[[[[[]],[]]]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2
[[],[[[[[],[]]]]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2
[[],[[[[[[]]]]]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1
[[[]],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[]],[],[],[],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[]],[],[],[[]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[]],[],[],[[],[]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[[[]],[],[],[[[]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1
[[[]],[],[[]],[],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1
[[[]],[],[[]],[[]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1
[[[]],[],[[],[]],[]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[[[]],[],[[[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1
[[[]],[],[[],[],[]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[[[]],[],[[],[[]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[[[]],[],[[[]],[]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[[[]],[],[[[],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[[[]],[],[[[[]]]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1
[[[]],[[]],[],[],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1
[[[]],[[]],[],[[]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1
[[[]],[[]],[[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1
[[[]],[[]],[[],[]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[[[]],[[]],[[[]]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1
[[[]],[[],[]],[],[]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[[[]],[[[]]],[],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1
[[[]],[[],[]],[[]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[[[]],[[[]]],[[]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 1
[[[]],[[],[],[]],[]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2
[[[]],[[],[[]]],[]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2
[[[]],[[[]],[]],[]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[[[]],[[[],[]]],[]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2
[[[]],[[[[]]]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1
[[[]],[[],[],[],[]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[[[]],[[],[],[[]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[[[]],[[],[[]],[]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[[[]],[[],[[],[]]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[[[]],[[],[[[]]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[[[]],[[[]],[],[]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[[[]],[[[]],[[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[[[]],[[[],[]],[]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2
[[[]],[[[[]]],[]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2
[[[]],[[[],[],[]]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[[[]],[[[],[[]]]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2
[[[]],[[[[]],[]]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2
[[[]],[[[[],[]]]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2
[[[]],[[[[[]]]]]] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1
[[[],[]],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[[[[]]],[],[],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[],[]],[],[],[[]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[[[[]]],[],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1
[[[],[]],[],[[]],[]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[[[[]]],[],[[]],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1
[[[],[]],[],[[],[]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[[[],[]],[],[[[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[[[[]]],[],[[],[]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[[[[]]],[],[[[]]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1
[[[],[]],[[]],[],[]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[[[[]]],[[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[],[]],[[]],[[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[[[[]]],[[]],[[]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 1
[[[],[]],[[],[]],[]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2
[[[],[]],[[[]]],[]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[[[[]]],[[],[]],[]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2
[[[[]]],[[[]]],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[],[]],[[],[],[]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[[[],[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[[[],[]],[[[]],[]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[[[],[]],[[[],[]]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[[[],[]],[[[[]]]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[[[[]]],[[],[],[]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[[[[]]],[[],[[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[[[[]]],[[[]],[]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[[[[]]],[[[],[]]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[[[[]]],[[[[]]]]] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1
[[[],[],[]],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[[[],[[]]],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[[[[]],[]],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[[[[],[]]],[],[],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2
[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[],[],[]],[],[[]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[[[],[[]]],[],[[]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[[[[]],[]],[],[[]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[[[[],[]]],[],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2
[[[[[]]]],[],[[]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1
[[[],[],[]],[[]],[]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[[[],[[]]],[[]],[]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[[[[]],[]],[[]],[]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[[[[],[]]],[[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[[[[[]]]],[[]],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[],[],[]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[[[],[],[]],[[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2
[[[],[[]]],[[],[]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[[[],[[]]],[[[]]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2
[[[[]],[]],[[],[]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[[[[]],[]],[[[]]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[[[[],[]]],[[],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 2
[[[[],[]]],[[[]]]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2
[[[[[]]]],[[],[]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[[[[[]]]],[[[]]]] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1
[[[],[],[],[]],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[[[],[],[[]]],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2
[[[],[[]],[]],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2
[[[],[[],[]]],[],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[[[],[[[]]]],[],[]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2
[[[[]],[],[]],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[[[[]],[[]]],[],[]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[[[[],[]],[]],[],[]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[[[[[]]],[]],[],[]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[[[[],[],[]]],[],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2
[[[[],[[]]]],[],[]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2
[[[[[]],[]]],[],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2
[[[[[],[]]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2
[[[[[[]]]]],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[],[],[],[]],[[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[[[],[],[[]]],[[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2
[[[],[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[[[],[[],[]]],[[]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[[[],[[[]]]],[[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2
[[[[]],[],[]],[[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[[[[]],[[]]],[[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[[[[],[]],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[[[[[]]],[]],[[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[[[[],[],[]]],[[]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2
[[[[],[[]]]],[[]]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 2
[[[[[]],[]]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2
[[[[[],[]]]],[[]]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 2
[[[[[[]]]]],[[]]] => [[[[[.,[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1
[[[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[],[],[],[[]]],[]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2
[[[],[],[[]],[]],[]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2
[[[],[],[[],[]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2
[[[],[],[[[]]]],[]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2
[[[],[[]],[],[]],[]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2
[[[],[[]],[[]]],[]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2
[[[],[[],[]],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2
[[[],[[[]]],[]],[]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2
[[[],[[],[],[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2
[[[],[[],[[]]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[[[],[[[]],[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[[[],[[[],[]]]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2
[[[],[[[[]]]]],[]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2
[[[[]],[],[],[]],[]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[[[[]],[],[[]]],[]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2
[[[[]],[[]],[]],[]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[[[[]],[[],[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 2
[[[[]],[[[]]]],[]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[[[[],[]],[],[]],[]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[[[[[]]],[],[]],[]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[[[[],[]],[[]]],[]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[[[[[]]],[[]]],[]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[[[[],[],[]],[]],[]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[[[[],[[]]],[]],[]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[[[[[]],[]],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[[[[[],[]]],[]],[]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[[[[[[]]]],[]],[]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[[[[],[],[],[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2
[[[[],[],[[]]]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 2
[[[[],[[]],[]]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 2
[[[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2
[[[[],[[[]]]]],[]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2
[[[[[]],[],[]]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2
[[[[[]],[[]]]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2
[[[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2
[[[[[[]]],[]]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2
[[[[[],[],[]]]],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2
[[[[[],[[]]]]],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2
[[[[[[]],[]]]],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2
[[[[[[],[]]]]],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2
[[[[[[[]]]]]],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[[[],[],[],[],[[]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[[[],[],[],[[]],[]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[[[],[],[],[[],[]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[[[],[],[],[[[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[[[],[],[[]],[],[]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[[[],[],[[]],[[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[[[],[],[[],[]],[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2
[[[],[],[[[]]],[]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[[[],[],[[],[],[]]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[[[],[],[[],[[]]]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[],[],[[[]],[]]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[[[],[],[[[],[]]]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[[[],[],[[[[]]]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2
[[[],[[]],[],[],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[[[],[[]],[],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[[[],[[]],[[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[[[],[[]],[[],[]]]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[[[],[[]],[[[]]]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[[[],[[],[]],[],[]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[[[],[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[[[],[[],[]],[[]]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[[[],[[[]]],[[]]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[[[],[[],[],[]],[]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[[[],[[],[[]]],[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[[[],[[[]],[]],[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2
[[[],[[[],[]]],[]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2
[[[],[[[[]]]],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[[[],[[],[],[],[]]]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[[[],[[],[],[[]]]]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[[[],[[],[[]],[]]]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[[[],[[],[[],[]]]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[[[],[[],[[[]]]]]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[[[],[[[]],[],[]]]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[[[],[[[]],[[]]]]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[[[],[[[],[]],[]]]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[[[],[[[[]]],[]]]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[[[],[[[],[],[]]]]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[[[],[[[],[[]]]]]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2
[[[],[[[[]],[]]]]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[[[],[[[[],[]]]]]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[[[],[[[[[]]]]]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[[[[]],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[[[[]],[],[],[[]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[[[[]],[],[[]],[]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[[[[]],[],[[],[]]]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[[[[]],[],[[[]]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[[[[]],[[]],[],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[[[[]],[[]],[[]]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[[[[]],[[],[]],[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[[[[]],[[[]]],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[[[[]],[[],[],[]]]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[[[[]],[[],[[]]]]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2
[[[[]],[[[]],[]]]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2
[[[[]],[[[],[]]]]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 2
[[[[]],[[[[]]]]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[[[[],[]],[],[],[]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2
[[[[[]]],[],[],[]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[[[[],[]],[],[[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[[[[[]]],[],[[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[[[[],[]],[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[[[[[]]],[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[[[[],[]],[[],[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[[[[],[]],[[[]]]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[[[[[]]],[[],[]]]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2
[[[[[]]],[[[]]]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[[[[],[],[]],[],[]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[[[[],[[]]],[],[]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[[[[[]],[]],[],[]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[[[[[],[]]],[],[]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2
[[[[[[]]]],[],[]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2
[[[[],[],[]],[[]]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[[[[],[[]]],[[]]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[[[[[]],[]],[[]]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[[[[[],[]]],[[]]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[[[[[[]]]],[[]]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2
[[[[],[],[],[]],[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[[[[],[],[[]]],[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[[[[],[[]],[]],[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[[[[],[[],[]]],[]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[[[[],[[[]]]],[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[[[[[]],[],[]],[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[[[[[]],[[]]],[]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[[[[[],[]],[]],[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[[[[[[]]],[]],[]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2
[[[[[],[],[]]],[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[[[[[],[[]]]],[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[[[[[[]],[]]],[]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2
[[[[[[],[]]]],[]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2
[[[[[[[]]]]],[]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[[],[],[],[],[]]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[[[[],[],[],[[]]]]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[[[[],[],[[]],[]]]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[[[[],[],[[],[]]]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[[[[],[],[[[]]]]]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[[[[],[[]],[],[]]]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[[[[],[[]],[[]]]]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[[[[],[[],[]],[]]]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2
[[[[],[[[]]],[]]]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[[[[],[[],[],[]]]]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[[[[],[[],[[]]]]]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[[[[],[[[]],[]]]]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[[[[],[[[],[]]]]]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[[[[],[[[[]]]]]]] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2
[[[[[]],[],[],[]]]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[[[[[]],[],[[]]]]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[[[[[]],[[]],[]]]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[[[[[]],[[],[]]]]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 2
[[[[[]],[[[]]]]]] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2
[[[[[],[]],[],[]]]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2
[[[[[[]]],[],[]]]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 2
[[[[[],[]],[[]]]]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[[[[[[]]],[[]]]]] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 2
[[[[[],[],[]],[]]]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[[[[[],[[]]],[]]]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2
[[[[[[]],[]],[]]]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2
[[[[[[],[]]],[]]]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2
[[[[[[[]]]],[]]]] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2
[[[[[],[],[],[]]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[[[[[],[],[[]]]]]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[[[[[],[[]],[]]]]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2
[[[[[],[[],[]]]]]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[[[[[],[[[]]]]]]] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2
[[[[[[]],[],[]]]]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[[[[[[]],[[]]]]]] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2
[[[[[[],[]],[]]]]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[[[[[[[]]],[]]]]] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2
[[[[[[],[],[]]]]]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[[[[[[],[[]]]]]]] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2
[[[[[[[]],[]]]]]] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[[[[[[[],[]]]]]]] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[[[[[[[[]]]]]]]] => [[[[[[[.,.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[],[],[],[],[],[[]],[]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1
[[],[],[],[],[],[[],[]]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2
[[],[],[],[],[],[[[]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1
[[],[],[],[],[[]],[],[]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1
[[],[],[],[],[[]],[[]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1
[[],[],[],[],[[],[]],[]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2
[[],[],[],[],[[[]]],[]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1
[[],[],[],[],[[],[],[]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[[],[],[],[],[[],[[]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[[],[],[],[],[[[]],[]]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[],[],[],[],[[[],[]]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2
[[],[],[],[],[[[[]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1
[[],[],[],[[]],[],[],[]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1
[[],[],[],[[]],[],[[]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1
[[],[],[],[[]],[[]],[]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1
[[],[],[],[[]],[[],[]]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[[],[],[],[[]],[[[]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1
[[],[],[],[[],[]],[],[]] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[[],[],[],[[[]]],[],[]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1
[[],[],[],[[],[]],[[]]] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[[],[],[],[[[]]],[[]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1
[[],[],[],[[],[],[]],[]] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2
[[],[],[],[[],[[]]],[]] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2
[[],[],[],[[[]],[]],[]] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[[],[],[],[[[],[]]],[]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2
[[],[],[],[[[[]]]],[]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1
[[],[],[],[[],[],[],[]]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[[],[],[],[[],[],[[]]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[[],[],[],[[],[[]],[]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[[],[],[],[[],[[],[]]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[[],[],[],[[],[[[]]]]] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[[],[],[],[[[]],[],[]]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[[],[],[],[[[]],[[]]]] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[],[],[],[[[],[]],[]]] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2
[[],[],[],[[[[]]],[]]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2
[[],[],[],[[[],[],[]]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[[],[],[],[[[],[[]]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2
[[],[],[],[[[[]],[]]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2
[[],[],[],[[[[],[]]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2
[[],[],[],[[[[[]]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1
[[],[],[[]],[],[],[],[]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[],[],[[]],[],[],[[]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1
[[],[],[[]],[],[[]],[]] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1
[[],[],[[]],[],[[],[]]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[[],[],[[]],[],[[[]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1
[[],[],[[]],[[]],[],[]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1
[[],[],[[]],[[]],[[]]] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1
[[],[],[[]],[[],[]],[]] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[[],[],[[]],[[[]]],[]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1
[[],[],[[]],[[],[],[]]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[[],[],[[]],[[],[[]]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[[],[],[[]],[[[]],[]]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[[],[],[[]],[[[],[]]]] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2
[[],[],[[]],[[[[]]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1
[[],[],[[],[]],[],[],[]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[[],[],[[[]]],[],[],[]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1
[[],[],[[],[]],[],[[]]] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[],[],[[[]]],[],[[]]] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1
[[],[],[[],[]],[[]],[]] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[[],[],[[[]]],[[]],[]] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1
[[],[],[[],[]],[[],[]]] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[[],[],[[],[]],[[[]]]] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[[],[],[[[]]],[[],[]]] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[[],[],[[[]]],[[[]]]] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1
[[],[],[[],[],[]],[],[]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[[],[],[[],[[]]],[],[]] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[[],[],[[[]],[]],[],[]] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[[],[],[[[],[]]],[],[]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[[],[],[[[[]]]],[],[]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1
[[],[],[[],[],[]],[[]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[[],[],[[],[[]]],[[]]] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[[],[],[[[]],[]],[[]]] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[[],[],[[[],[]]],[[]]] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2
[[],[],[[[[]]]],[[]]] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1
[[],[],[[],[],[],[]],[]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2
[[],[],[[],[],[[]]],[]] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2
[[],[],[[],[[]],[]],[]] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[[],[],[[],[[],[]]],[]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[],[],[[],[[[]]]],[]] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2
[[],[],[[[]],[],[]],[]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[[],[],[[[]],[[]]],[]] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[[],[],[[[],[]],[]],[]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[[],[],[[[[]]],[]],[]] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[[],[],[[[],[],[]]],[]] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2
[[],[],[[[],[[]]]],[]] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2
[[],[],[[[[]],[]]],[]] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2
[[],[],[[[[],[]]]],[]] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2
[[],[],[[[[[]]]]],[]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1
[[],[],[[],[],[],[],[]]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[[],[],[[],[],[],[[]]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[],[],[[],[],[[]],[]]] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[],[],[[],[],[[],[]]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[],[],[[],[],[[[]]]]] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[],[],[[],[[]],[],[]]] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[[],[],[[],[[]],[[]]]] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[],[],[[],[[],[]],[]]] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[[],[],[[],[[[]]],[]]] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[[],[],[[],[[],[],[]]]] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[[],[],[[],[[],[[]]]]] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[],[],[[],[[[]],[]]]] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[[],[],[[],[[[],[]]]]] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[],[],[[],[[[[]]]]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[[],[],[[[]],[],[],[]]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[[],[],[[[]],[],[[]]]] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[[],[],[[[]],[[]],[]]] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[[],[],[[[]],[[],[]]]] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2
[[],[],[[[]],[[[]]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[[],[],[[[],[]],[],[]]] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2
[[],[],[[[[]]],[],[]]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[[],[],[[[],[]],[[]]]] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[[],[],[[[[]]],[[]]]] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[[],[],[[[],[],[]],[]]] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[[],[],[[[],[[]]],[]]] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[[],[],[[[[]],[]],[]]] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[[],[],[[[[],[]]],[]]] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2
[[],[],[[[[[]]]],[]]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2
[[],[],[[[],[],[],[]]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[[],[],[[[],[],[[]]]]] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[],[],[[[],[[]],[]]]] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[[],[],[[[],[[],[]]]]] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[],[],[[[],[[[]]]]]] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2
[[],[],[[[[]],[],[]]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[[],[],[[[[]],[[]]]]] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[[],[],[[[[],[]],[]]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[[],[],[[[[[]]],[]]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2
[[],[],[[[[],[],[]]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[[],[],[[[[],[[]]]]]] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2
[[],[],[[[[[]],[]]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2
[[],[],[[[[[],[]]]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2
[[],[],[[[[[[]]]]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1
[[],[[]],[],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[],[[]],[],[],[],[[]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1
[[],[[]],[],[],[[]],[]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1
[[],[[]],[],[],[[],[]]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[[],[[]],[],[],[[[]]]] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1
[[],[[]],[],[[]],[],[]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1
[[],[[]],[],[[]],[[]]] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1
[[],[[]],[],[[],[]],[]] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[[],[[]],[],[[[]]],[]] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1
[[],[[]],[],[[],[],[]]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[[],[[]],[],[[],[[]]]] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[[],[[]],[],[[[]],[]]] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[[],[[]],[],[[[],[]]]] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[[],[[]],[],[[[[]]]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1
[[],[[]],[[]],[],[],[]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1
[[],[[]],[[]],[],[[]]] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1
[[],[[]],[[]],[[]],[]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1
[[],[[]],[[]],[[],[]]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[[],[[]],[[]],[[[]]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1
[[],[[]],[[],[]],[],[]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[[],[[]],[[[]]],[],[]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1
[[],[[]],[[],[]],[[]]] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[[],[[]],[[[]]],[[]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 1
[[],[[]],[[],[],[]],[]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2
[[],[[]],[[],[[]]],[]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2
[[],[[]],[[[]],[]],[]] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[[],[[]],[[[],[]]],[]] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2
[[],[[]],[[[[]]]],[]] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1
[[],[[]],[[],[],[],[]]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[[],[[]],[[],[],[[]]]] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[[],[[]],[[],[[]],[]]] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[[],[[]],[[],[[],[]]]] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[[],[[]],[[],[[[]]]]] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[[],[[]],[[[]],[],[]]] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[[],[[]],[[[]],[[]]]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[[],[[]],[[[],[]],[]]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2
[[],[[]],[[[[]]],[]]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2
[[],[[]],[[[],[],[]]]] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[[],[[]],[[[],[[]]]]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2
[[],[[]],[[[[]],[]]]] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2
[[],[[]],[[[[],[]]]]] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2
[[],[[]],[[[[[]]]]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1
[[],[[],[]],[],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[[],[[[]]],[],[],[],[]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1
[[],[[],[]],[],[],[[]]] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[[],[[[]]],[],[],[[]]] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1
[[],[[],[]],[],[[]],[]] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[[],[[[]]],[],[[]],[]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1
[[],[[],[]],[],[[],[]]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[[],[[],[]],[],[[[]]]] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[[],[[[]]],[],[[],[]]] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[[],[[[]]],[],[[[]]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1
[[],[[],[]],[[]],[],[]] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[[],[[[]]],[[]],[],[]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1
[[],[[],[]],[[]],[[]]] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[[],[[[]]],[[]],[[]]] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 1
[[],[[],[]],[[],[]],[]] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2
[[],[[],[]],[[[]]],[]] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[[],[[[]]],[[],[]],[]] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2
[[],[[[]]],[[[]]],[]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1
[[],[[],[]],[[],[],[]]] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[[],[[],[]],[[],[[]]]] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[[],[[],[]],[[[]],[]]] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[[],[[],[]],[[[],[]]]] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[[],[[],[]],[[[[]]]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[[],[[[]]],[[],[],[]]] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[[],[[[]]],[[],[[]]]] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[[],[[[]]],[[[]],[]]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[[],[[[]]],[[[],[]]]] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[[],[[[]]],[[[[]]]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1
[[],[[],[],[]],[],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[[],[[],[[]]],[],[],[]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[[],[[[]],[]],[],[],[]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[[],[[[],[]]],[],[],[]] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2
[[],[[[[]]]],[],[],[]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1
[[],[[],[],[]],[],[[]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[[],[[],[[]]],[],[[]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[[],[[[]],[]],[],[[]]] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[[],[[[],[]]],[],[[]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2
[[],[[[[]]]],[],[[]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1
[[],[[],[],[]],[[]],[]] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[[],[[],[[]]],[[]],[]] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[[],[[[]],[]],[[]],[]] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[[],[[[],[]]],[[]],[]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[[],[[[[]]]],[[]],[]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1
[[],[[],[],[]],[[],[]]] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[[],[[],[],[]],[[[]]]] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2
[[],[[],[[]]],[[],[]]] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[[],[[],[[]]],[[[]]]] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2
[[],[[[]],[]],[[],[]]] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[[],[[[]],[]],[[[]]]] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[[],[[[],[]]],[[],[]]] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 2
[[],[[[],[]]],[[[]]]] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2
[[],[[[[]]]],[[],[]]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[[],[[[[]]]],[[[]]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1
[[],[[],[],[],[]],[],[]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[[],[[],[],[[]]],[],[]] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2
[[],[[],[[]],[]],[],[]] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2
[[],[[],[[],[]]],[],[]] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[[],[[],[[[]]]],[],[]] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2
[[],[[[]],[],[]],[],[]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[[],[[[]],[[]]],[],[]] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[[],[[[],[]],[]],[],[]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[[],[[[[]]],[]],[],[]] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[[],[[[],[],[]]],[],[]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2
[[],[[[],[[]]]],[],[]] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2
[[],[[[[]],[]]],[],[]] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2
[[],[[[[],[]]]],[],[]] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2
[[],[[[[[]]]]],[],[]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1
[[],[[],[],[],[]],[[]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[[],[[],[],[[]]],[[]]] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2
[[],[[],[[]],[]],[[]]] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[[],[[],[[],[]]],[[]]] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[[],[[],[[[]]]],[[]]] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2
[[],[[[]],[],[]],[[]]] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[[],[[[]],[[]]],[[]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[[],[[[],[]],[]],[[]]] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[[],[[[[]]],[]],[[]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[[],[[[],[],[]]],[[]]] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2
[[],[[[],[[]]]],[[]]] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 2
[[],[[[[]],[]]],[[]]] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2
[[],[[[[],[]]]],[[]]] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 2
[[],[[[[[]]]]],[[]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1
[[],[[],[],[],[],[]],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[[],[[],[],[],[[]]],[]] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2
[[],[[],[],[[]],[]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2
[[],[[],[],[[],[]]],[]] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2
[[],[[],[],[[[]]]],[]] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2
[[],[[],[[]],[],[]],[]] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2
[[],[[],[[]],[[]]],[]] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2
[[],[[],[[],[]],[]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2
[[],[[],[[[]]],[]],[]] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2
[[],[[],[[],[],[]]],[]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2
[[],[[],[[],[[]]]],[]] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[[],[[],[[[]],[]]],[]] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[[],[[],[[[],[]]]],[]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2
[[],[[],[[[[]]]]],[]] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2
[[],[[[]],[],[],[]],[]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[[],[[[]],[],[[]]],[]] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2
[[],[[[]],[[]],[]],[]] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[[],[[[]],[[],[]]],[]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 2
[[],[[[]],[[[]]]],[]] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[[],[[[],[]],[],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[[],[[[[]]],[],[]],[]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[[],[[[],[]],[[]]],[]] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[[],[[[[]]],[[]]],[]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[[],[[[],[],[]],[]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[[],[[[],[[]]],[]],[]] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[[],[[[[]],[]],[]],[]] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[[],[[[[],[]]],[]],[]] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[[],[[[[[]]]],[]],[]] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[[],[[[],[],[],[]]],[]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2
[[],[[[],[],[[]]]],[]] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 2
[[],[[[],[[]],[]]],[]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 2
[[],[[[],[[],[]]]],[]] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2
[[],[[[],[[[]]]]],[]] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2
[[],[[[[]],[],[]]],[]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2
[[],[[[[]],[[]]]],[]] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2
[[],[[[[],[]],[]]],[]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2
[[],[[[[[]]],[]]],[]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2
[[],[[[[],[],[]]]],[]] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2
[[],[[[[],[[]]]]],[]] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2
[[],[[[[[]],[]]]],[]] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2
[[],[[[[[],[]]]]],[]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2
[[],[[[[[[]]]]]],[]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1
[[],[[],[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[[],[[],[],[],[],[[]]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[[],[[],[],[],[[]],[]]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[[],[[],[],[],[[],[]]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[[],[[],[],[],[[[]]]]] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[[],[[],[],[[]],[],[]]] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[[],[[],[],[[]],[[]]]] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[[],[[],[],[[],[]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2
[[],[[],[],[[[]]],[]]] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[[],[[],[],[[],[],[]]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[[],[[],[],[[],[[]]]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[[],[[],[],[[[]],[]]]] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[[],[[],[],[[[],[]]]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[[],[[],[],[[[[]]]]]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2
[[],[[],[[]],[],[],[]]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[[],[[],[[]],[],[[]]]] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[[],[[],[[]],[[]],[]]] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[[],[[],[[]],[[],[]]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[[],[[],[[]],[[[]]]]] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[[],[[],[[],[]],[],[]]] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[[],[[],[[[]]],[],[]]] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[[],[[],[[],[]],[[]]]] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[[],[[],[[[]]],[[]]]] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[[],[[],[[],[],[]],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[[],[[],[[],[[]]],[]]] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[[],[[],[[[]],[]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2
[[],[[],[[[],[]]],[]]] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2
[[],[[],[[[[]]]],[]]] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[[],[[],[[],[],[],[]]]] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[[],[[],[[],[],[[]]]]] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[[],[[],[[],[[]],[]]]] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[[],[[],[[],[[],[]]]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[[],[[],[[],[[[]]]]]] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[[],[[],[[[]],[],[]]]] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[[],[[],[[[]],[[]]]]] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[[],[[],[[[],[]],[]]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[[],[[],[[[[]]],[]]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[[],[[],[[[],[],[]]]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[[],[[],[[[],[[]]]]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2
[[],[[],[[[[]],[]]]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[[],[[],[[[[],[]]]]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[[],[[],[[[[[]]]]]]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[[],[[[]],[],[],[],[]]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[[],[[[]],[],[],[[]]]] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[[],[[[]],[],[[]],[]]] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[[],[[[]],[],[[],[]]]] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[[],[[[]],[],[[[]]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[[],[[[]],[[]],[],[]]] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[[],[[[]],[[]],[[]]]] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[[],[[[]],[[],[]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[[],[[[]],[[[]]],[]]] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[[],[[[]],[[],[],[]]]] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[[],[[[]],[[],[[]]]]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2
[[],[[[]],[[[]],[]]]] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2
[[],[[[]],[[[],[]]]]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 2
[[],[[[]],[[[[]]]]]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[[],[[[],[]],[],[],[]]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2
[[],[[[[]]],[],[],[]]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[[],[[[],[]],[],[[]]]] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[[],[[[[]]],[],[[]]]] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[[],[[[],[]],[[]],[]]] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[[],[[[[]]],[[]],[]]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[[],[[[],[]],[[],[]]]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[[],[[[],[]],[[[]]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[[],[[[[]]],[[],[]]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2
[[],[[[[]]],[[[]]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[[],[[[],[],[]],[],[]]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[[],[[[],[[]]],[],[]]] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[[],[[[[]],[]],[],[]]] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[[],[[[[],[]]],[],[]]] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2
[[],[[[[[]]]],[],[]]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2
[[],[[[],[],[]],[[]]]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[[],[[[],[[]]],[[]]]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[[],[[[[]],[]],[[]]]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[[],[[[[],[]]],[[]]]] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[[],[[[[[]]]],[[]]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2
[[],[[[],[],[],[]],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[[],[[[],[],[[]]],[]]] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[[],[[[],[[]],[]],[]]] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[[],[[[],[[],[]]],[]]] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[[],[[[],[[[]]]],[]]] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[[],[[[[]],[],[]],[]]] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[[],[[[[]],[[]]],[]]] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[[],[[[[],[]],[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[[],[[[[[]]],[]],[]]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2
[[],[[[[],[],[]]],[]]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[[],[[[[],[[]]]],[]]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[[],[[[[[]],[]]],[]]] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2
[[],[[[[[],[]]]],[]]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2
[[],[[[[[[]]]]],[]]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[[],[[[],[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[[],[[[],[],[],[[]]]]] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[[],[[[],[],[[]],[]]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[[],[[[],[],[[],[]]]]] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[[],[[[],[],[[[]]]]]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[[],[[[],[[]],[],[]]]] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[[],[[[],[[]],[[]]]]] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[[],[[[],[[],[]],[]]]] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2
[[],[[[],[[[]]],[]]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[[],[[[],[[],[],[]]]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[[],[[[],[[],[[]]]]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[[],[[[],[[[]],[]]]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[[],[[[],[[[],[]]]]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[[],[[[],[[[[]]]]]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2
[[],[[[[]],[],[],[]]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[[],[[[[]],[],[[]]]]] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[[],[[[[]],[[]],[]]]] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[[],[[[[]],[[],[]]]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 2
[[],[[[[]],[[[]]]]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2
[[],[[[[],[]],[],[]]]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2
[[],[[[[[]]],[],[]]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 2
[[],[[[[],[]],[[]]]]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[[],[[[[[]]],[[]]]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 2
[[],[[[[],[],[]],[]]]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[[],[[[[],[[]]],[]]]] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2
[[],[[[[[]],[]],[]]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2
[[],[[[[[],[]]],[]]]] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2
[[],[[[[[[]]]],[]]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2
[[],[[[[],[],[],[]]]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[[],[[[[],[],[[]]]]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[[],[[[[],[[]],[]]]]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2
[[],[[[[],[[],[]]]]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[[],[[[[],[[[]]]]]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2
[[],[[[[[]],[],[]]]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[[],[[[[[]],[[]]]]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2
[[],[[[[[],[]],[]]]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[[],[[[[[[]]],[]]]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2
[[],[[[[[],[],[]]]]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[[],[[[[[],[[]]]]]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2
[[],[[[[[[]],[]]]]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[[],[[[[[[],[]]]]]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[[],[[[[[[[]]]]]]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[[[]],[],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[]],[],[],[],[],[[]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[]],[],[],[],[[]],[]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[]],[],[],[],[[[]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1
[[[]],[],[],[[]],[],[]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1
[[[]],[],[],[[]],[[]]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1
[[[]],[],[],[[],[]],[]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => 2
[[[]],[],[],[[[]]],[]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1
[[[]],[],[],[[[[]]]]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1
[[[]],[],[[]],[],[],[]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1
[[[]],[],[[]],[],[[]]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1
[[[]],[],[[]],[[]],[]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1
[[[]],[],[[]],[[[]]]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1
[[[]],[],[[[]]],[],[]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1
[[[]],[],[[[]]],[[]]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1
[[[]],[],[[],[],[]],[]] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => 2
[[[]],[],[[],[[]]],[]] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[[[]],[],[[[[]]]],[]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1
[[[]],[],[[[]],[],[]]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[[[]],[],[[[],[]],[]]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[[[]],[],[[[[]]],[]]] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[[[]],[],[[[[[]]]]]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1
[[[]],[[]],[],[],[],[]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[]],[[]],[],[],[[]]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1
[[[]],[[]],[],[[]],[]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1
[[[]],[[]],[],[[[]]]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1
[[[]],[[]],[[]],[],[]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[]],[[]],[[]],[[]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1
[[[]],[[]],[[[]]],[]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[]],[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 2
[[[]],[[]],[[[]],[]]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 2
[[[]],[[]],[[[],[]]]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => 2
[[[]],[[]],[[[[]]]]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1
[[[]],[[[]]],[],[],[]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[]],[[[]]],[],[[]]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1
[[[]],[[[]]],[[]],[]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[]],[[[]]],[[],[]]] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => 2
[[[]],[[[]]],[[[]]]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1
[[[]],[[[[]]]],[],[]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[]],[[[[]]]],[[]]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1
[[[]],[[],[],[],[]],[]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => 2
[[[]],[[[[[]]]]],[]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[]],[[],[[[]],[]]]] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[[[]],[[],[[[[]]]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 2
[[[]],[[[]],[[],[]]]] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => 2
[[[]],[[[]],[[[]]]]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => 2
[[[]],[[[],[]],[],[]]] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => 2
[[[]],[[[],[]],[[]]]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[[[]],[[[],[[]]],[]]] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => 2
[[[]],[[[],[[[]]]]]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => 2
[[[]],[[[[]],[[]]]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => 2
[[[]],[[[[],[]],[]]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[[[]],[[[[],[[]]]]]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => 2
[[[]],[[[[[]],[]]]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[[[]],[[[[[],[]]]]]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[[[]],[[[[[[]]]]]]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1
[[[],[]],[],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[[[[]]],[],[],[],[],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[[]]],[],[],[],[[]]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[[]]],[],[],[[]],[]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[],[]],[],[],[[[]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[[[[]]],[],[],[[[]]]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1
[[[[]]],[],[[]],[],[]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1
[[[],[]],[],[[]],[[]]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[[[[]]],[],[[]],[[]]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1
[[[],[]],[],[[],[]],[]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[[[[]]],[],[[],[]],[]] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 2
[[[[]]],[],[[[]]],[]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1
[[[],[]],[],[[[]],[]]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[[[[]]],[],[[[]],[]]] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 2
[[[[]]],[],[[[[]]]]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1
[[[[]]],[[]],[],[],[]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1
[[[[]]],[[]],[[]],[]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1
[[[],[]],[[]],[[[]]]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[[[[]]],[[]],[[],[]]] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => 2
[[[],[]],[[],[]],[],[]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[[[[]]],[[[]]],[],[]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1
[[[],[]],[[[[]]]],[]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[[[],[]],[[[[[]]]]]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[[[[]]],[[],[[[]]]]] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => 2
[[[[]]],[[[]],[[]]]] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => 2
[[[[]]],[[[],[]],[]]] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => 2
[[[[]]],[[[[]]],[]]] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => 2
[[[[]]],[[[],[[]]]]] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => 2
[[[[]]],[[[[]],[]]]] => [[[.,.],.],[[[[.,.],.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => 2
[[[[]]],[[[[],[]]]]] => [[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => 2
[[[],[],[]],[],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[[[[]],[]],[],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => 2
[[[[],[]]],[],[],[],[]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[[[[[]]]],[],[],[],[]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[],[],[]],[],[],[[]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[[[[]],[]],[],[[],[]]] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => 2
[[[[],[]]],[],[[[]]]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[[[[[]]]],[],[[],[]]] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => 2
[[[[[]]]],[],[[[]]]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1
[[[],[],[]],[[]],[],[]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[[[[[]]]],[[]],[],[]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[],[],[]],[[]],[[]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[[[],[],[]],[[[]]],[]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[[[[[]]]],[[[]]],[]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[],[],[]],[[[[]]]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[[[[],[]]],[[[[]]]]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[[[[[]]]],[[[[]]]]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1
[[[],[],[],[]],[],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[[[],[[],[]]],[],[],[]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[[[[],[]],[]],[],[],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => 2
[[[[],[],[]]],[],[],[]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[[[[[],[]]]],[],[],[]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2
[[[[[[]]]]],[],[],[]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[],[],[],[]],[],[[]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[[[],[],[[]]],[],[[]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[[[],[[]],[]],[],[[]]] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[[[],[[],[]]],[],[[]]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[[[],[]],[]],[],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 2
[[[[[]],[]]],[],[[]]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[[[[[[]]]]],[],[[]]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1
[[[],[[],[]]],[[]],[]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[[[],[[[]]]],[[]],[]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[[[[[]]],[]],[[]],[]] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 2
[[[[[[]]]]],[[]],[]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[],[],[],[]],[[],[]]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[[[],[],[[]]],[[[]]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 2
[[[],[[],[]]],[[],[]]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[[[],[[],[]]],[[[]]]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[[[],[[[]]]],[[[]]]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[[[[[],[]]]],[[[]]]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2
[[[[[[]]]]],[[[]]]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1
[[[],[],[],[],[]],[],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[[[],[],[[],[]]],[],[]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[[[],[[],[],[]]],[],[]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[[[],[[],[[]]]],[],[]] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[[[],[[[]],[]]],[],[]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[[[],[[[],[]]]],[],[]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[[[[],[]],[[]]],[],[]] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => 2
[[[[],[[]]],[]],[],[]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 2
[[[[],[],[],[]]],[],[]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[[[[],[[[]]]]],[],[]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2
[[[[[[]]],[]]],[],[]] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[[[[[[],[]]]]],[],[]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2
[[[[[[[]]]]]],[],[]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[],[],[],[],[]],[[]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[[[],[],[[],[]]],[[]]] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[[[],[],[[[]]]],[[]]] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 2
[[[],[[],[],[]]],[[]]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[[[],[[],[[]]]],[[]]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[[[],[[[]],[]]],[[]]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[[[],[[[],[]]]],[[]]] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2
[[[],[[[[]]]]],[[]]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => 2
[[[[]],[],[],[]],[[]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => 2
[[[[],[]],[],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => 2
[[[[],[]],[[]]],[[]]] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => 2
[[[[],[],[],[]]],[[]]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[[[[],[[],[]]]],[[]]] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[[[[[],[],[]]]],[[]]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2
[[[[[[[]]]]]],[[]]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1
[[[],[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[],[],[],[],[[]]],[]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 2
[[[],[],[],[[]],[]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => 2
[[[],[],[],[[],[]]],[]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2
[[[],[],[],[[[]]]],[]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => 2
[[[],[],[[]],[],[]],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => 2
[[[],[],[[]],[[]]],[]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => 2
[[[],[],[[],[]],[]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => 2
[[[],[],[[[]]],[]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => 2
[[[],[],[[],[],[]]],[]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2
[[[],[],[[],[[]]]],[]] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2
[[[],[],[[[]],[]]],[]] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[[[],[],[[[],[]]]],[]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2
[[[],[],[[[[]]]]],[]] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => 2
[[[],[[]],[],[],[]],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[[[],[[]],[],[[]]],[]] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => 2
[[[],[[]],[[]],[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[[[],[[]],[[],[]]],[]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[[[],[[]],[[[]]]],[]] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[[[],[[],[]],[],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[[[],[[[]]],[],[]],[]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[[[],[[],[]],[[]]],[]] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[[[],[[[]]],[[]]],[]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[[[],[[],[],[]],[]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[[[],[[],[[]]],[]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[[[],[[[]],[]],[]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[[[],[[[],[]]],[]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[[[],[[[[]]]],[]],[]] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[[[],[[],[],[],[]]],[]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2
[[[],[[],[],[[]]]],[]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2
[[[],[[],[[]],[]]],[]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[[[],[[],[[],[]]]],[]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[[],[[],[[[]]]]],[]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2
[[[],[[[]],[],[]]],[]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[[[],[[[]],[[]]]],[]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[[[],[[[],[]],[]]],[]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[[[],[[[[]]],[]]],[]] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[[[],[[[],[],[]]]],[]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2
[[[],[[[],[[]]]]],[]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2
[[[],[[[[]],[]]]],[]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2
[[[],[[[[],[]]]]],[]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2
[[[],[[[[[]]]]]],[]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[[]],[],[],[],[]],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[[]],[],[],[[]]],[]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => 2
[[[[]],[],[[]],[]],[]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => 2
[[[[]],[],[[[]]]],[]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => 2
[[[[]],[[]],[],[]],[]] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => 2
[[[[]],[[]],[[]]],[]] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => 2
[[[[]],[[],[]],[]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => 2
[[[[]],[[[]]],[]],[]] => [[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => 2
[[[[]],[[[]],[]]],[]] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[[[[]],[[[[]]]]],[]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => 2
[[[[],[]],[],[],[]],[]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => 2
[[[[[]]],[],[],[]],[]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 2
[[[[],[]],[],[[]]],[]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 2
[[[[[]]],[],[[]]],[]] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => 2
[[[[],[]],[[]],[]],[]] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => 2
[[[[[]]],[[]],[]],[]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => 2
[[[[],[]],[[],[]]],[]] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 3
[[[[],[]],[[[]]]],[]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => 2
[[[[[]]],[[[]]]],[]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 2
[[[[],[],[]],[],[]],[]] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => 2
[[[[],[[]]],[],[]],[]] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => 2
[[[[[]],[]],[],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 2
[[[[[],[]]],[],[]],[]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 2
[[[[[[]]]],[],[]],[]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 2
[[[[],[],[]],[[]]],[]] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => 2
[[[[],[[]]],[[]]],[]] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => 2
[[[[[]],[]],[[]]],[]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => 2
[[[[[],[]]],[[]]],[]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 2
[[[[[[]]]],[[]]],[]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => 2
[[[[],[],[],[]],[]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 2
[[[[],[],[[]]],[]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => 2
[[[[],[[]],[]],[]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 2
[[[[],[[],[]]],[]],[]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => 2
[[[[],[[[]]]],[]],[]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => 2
[[[[[]],[],[]],[]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => 2
[[[[[]],[[]]],[]],[]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => 2
[[[[[],[]],[]],[]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 2
[[[[[[]]],[]],[]],[]] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => 2
[[[[[],[],[]]],[]],[]] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => 2
[[[[[],[[]]]],[]],[]] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => 2
[[[[[[]],[]]],[]],[]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => 2
[[[[[[],[]]]],[]],[]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 2
[[[[[[[]]]]],[]],[]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => 2
[[[[],[],[],[],[]]],[]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[[],[],[],[[]]]],[]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2
[[[[],[],[[],[]]]],[]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2
[[[[],[[],[[]]]]],[]] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[[[[],[[[],[]]]]],[]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2
[[[[],[[[[]]]]]],[]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2
[[[[[]],[],[],[]]],[]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[[[[[]],[[]],[]]],[]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[[[[[],[]],[],[]]],[]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[[[[[[]]],[],[]]],[]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[[[[[],[]],[[]]]],[]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[[[[[],[],[]],[]]],[]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[[[[[[],[]]],[]]],[]] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[[[[[[[]]]],[]]],[]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[[[[[],[],[],[]]]],[]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2
[[[[[],[[[]]]]]],[]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2
[[[[[[]],[],[]]]],[]] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2
[[[[[[],[]],[]]]],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2
[[[[[[[]]],[]]]],[]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2
[[[[[[],[],[]]]]],[]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2
[[[[[[],[[]]]]]],[]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2
[[[[[[[]],[]]]]],[]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2
[[[[[[[],[]]]]]],[]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2
[[[[[[[[]]]]]]],[]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[],[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[[[],[],[],[],[],[[]]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[[[],[],[],[],[[],[]]]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2
[[[],[],[],[],[[[]]]]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[[[],[],[],[[],[]],[]]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => 2
[[[],[],[],[[],[],[]]]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[[[],[],[],[[],[[]]]]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[],[],[],[[[]],[]]]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[[],[],[],[[[],[]]]]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2
[[[],[],[[]],[[],[]]]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[[[],[],[[],[]],[],[]]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[[[],[],[[],[]],[[]]]] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[[[],[],[[[]],[]],[]]] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => 2
[[[],[],[[[],[]]],[]]] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => 2
[[[],[],[[],[],[],[]]]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[[[],[],[[],[],[[]]]]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[[[],[],[[],[[]],[]]]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[[[],[],[[],[[],[]]]]] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[[[],[],[[],[[[]]]]]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[[[],[],[[[]],[],[]]]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[[[],[],[[[]],[[]]]]] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[[],[],[[[],[]],[]]]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2
[[[],[],[[[[]]],[]]]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2
[[[],[],[[[],[],[]]]]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[[[],[],[[[],[[]]]]]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2
[[[],[],[[[[]],[]]]]] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2
[[[],[],[[[[],[]]]]]] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2
[[[],[[]],[],[],[],[]]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[[],[[]],[],[[],[]]]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[[[],[[]],[[],[],[]]]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[[[],[[]],[[],[[]]]]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[[[],[[]],[[[]],[]]]] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[[[],[[]],[[[],[]]]]] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2
[[[],[[],[]],[],[],[]]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => 2
[[[],[[[]]],[],[],[]]] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[[[],[[],[]],[],[[]]]] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[[[],[[],[]],[[]],[]]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[[[],[[],[]],[[],[]]]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[[[],[[],[]],[[[]]]]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[[[],[[[]]],[[],[]]]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[[[],[[],[[]]],[],[]]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[[[],[[[]],[]],[],[]]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[[[],[[[],[]]],[],[]]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 2
[[[],[[[[]]]],[],[]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[[[],[[],[],[]],[[]]]] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[[[],[[],[[]]],[[]]]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[[[],[[[]],[]],[[]]]] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[[[],[[[],[]]],[[]]]] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[[[],[[],[],[[]]],[]]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[[[],[[],[[],[]]],[]]] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[[[],[[],[[[]]]],[]]] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[[[],[[[]],[[]]],[]]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[[[],[[[],[]],[]],[]]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[[[],[[[[]]],[]],[]]] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 2
[[[],[[[[]],[]]],[]]] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => 2
[[[],[[[[],[]]]],[]]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => 2
[[[],[[[[[]]]]],[]]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[[[],[[],[],[],[],[]]]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[[[],[[],[],[],[[]]]]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[[],[[],[],[[]],[]]]] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[[],[[],[],[[],[]]]]] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[[],[[],[],[[[]]]]]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[[],[[],[[]],[],[]]]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[[[],[[],[[]],[[]]]]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[[],[[],[[],[]],[]]]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[[[],[[],[[[]]],[]]]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[[[],[[],[[],[],[]]]]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[[[],[[],[[],[[]]]]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[[],[[],[[[]],[]]]]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[[[],[[],[[[],[]]]]]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[[],[[],[[[[]]]]]]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[[[],[[[]],[],[],[]]]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[[[],[[[]],[],[[]]]]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[[[],[[[]],[[]],[]]]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[[[],[[[]],[[],[]]]]] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2
[[[],[[[]],[[[]]]]]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[[[],[[[],[]],[],[]]]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2
[[[],[[[[]]],[],[]]]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[[[],[[[],[]],[[]]]]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[[[],[[[[]]],[[]]]]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[[[],[[[],[],[]],[]]]] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[[[],[[[],[[]]],[]]]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[[[],[[[[]],[]],[]]]] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[[[],[[[[],[]]],[]]]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2
[[[],[[[[[]]]],[]]]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2
[[[],[[[],[],[],[]]]]] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[[[],[[[],[],[[]]]]]] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[[],[[[],[[]],[]]]]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[[[],[[[],[[],[]]]]]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[[],[[[],[[[]]]]]]] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2
[[[],[[[[]],[],[]]]]] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[[[],[[[[]],[[]]]]]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[[[],[[[[],[]],[]]]]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[[[],[[[[[]]],[]]]]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2
[[[],[[[[],[],[]]]]]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[[[],[[[[],[[]]]]]]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2
[[[],[[[[[]],[]]]]]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2
[[[],[[[[[],[]]]]]]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2
[[[],[[[[[[]]]]]]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[[[[]],[],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 2
[[[[]],[],[],[[[]]]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => 2
[[[[]],[],[[]],[[]]]] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 2
[[[[]],[],[[],[]],[]]] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => 2
[[[[]],[[]],[],[],[]]] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => 2
[[[[]],[[]],[[],[]]]] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[[[[]],[[[]]],[],[]]] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => 2
[[[[]],[[],[]],[[]]]] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => 2
[[[[]],[[],[[]]],[]]] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => 2
[[[[]],[[[]],[]],[]]] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => 2
[[[[]],[[[],[]]],[]]] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => 2
[[[[]],[[[[]]]],[]]] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => 2
[[[[]],[[],[],[[]]]]] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[[[[]],[[],[[]],[]]]] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[[[[]],[[],[[],[]]]]] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[[[[]],[[],[[[]]]]]] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[[[[]],[[[]],[[]]]]] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[[[[]],[[[],[]],[]]]] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2
[[[[]],[[[[]]],[]]]] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2
[[[[]],[[[],[[]]]]]] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2
[[[[]],[[[[]],[]]]]] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2
[[[[]],[[[[],[]]]]]] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2
[[[[]],[[[[[]]]]]]] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => 2
[[[[],[]],[],[],[],[]]] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 2
[[[[],[]],[],[],[[]]]] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 2
[[[[],[]],[],[[]],[]]] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 2
[[[[],[]],[],[[],[]]]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 3
[[[[],[]],[],[[[]]]]] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 2
[[[[],[]],[[]],[],[]]] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 2
[[[[],[]],[[]],[[]]]] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 2
[[[[],[]],[[],[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 3
[[[[],[]],[[[]]],[]]] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 2
[[[[],[]],[[],[],[]]]] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 3
[[[[],[]],[[],[[]]]]] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 3
[[[[],[]],[[[]],[]]]] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 3
[[[[],[]],[[[],[]]]]] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 3
[[[[],[]],[[[[]]]]]] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 2
[[[[[]]],[[],[[]]]]] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[[[[[]]],[[[]],[]]]] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[[[[[]]],[[[],[]]]]] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[[[[[]]],[[[[]]]]]] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => 2
[[[[],[],[]],[],[],[]]] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 2
[[[[],[[]]],[],[],[]]] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 2
[[[[[]],[]],[],[],[]]] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => 2
[[[[[],[]]],[],[],[]]] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => 2
[[[[],[],[]],[],[[]]]] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 2
[[[[],[[]]],[],[[]]]] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 2
[[[[[]],[]],[],[[]]]] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 2
[[[[[],[]]],[],[[]]]] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 2
[[[[[[]]]],[],[[]]]] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 2
[[[[],[],[]],[[]],[]]] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 2
[[[[],[[]]],[[]],[]]] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 2
[[[[[]],[]],[[]],[]]] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 2
[[[[[],[]]],[[]],[]]] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => 2
[[[[],[],[]],[[],[]]]] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 3
[[[[],[],[]],[[[]]]]] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 2
[[[[],[[]]],[[],[]]]] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 3
[[[[],[[]]],[[[]]]]] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 2
[[[[[]],[]],[[],[]]]] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3
[[[[[]],[]],[[[]]]]] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 2
[[[[[],[]]],[[],[]]]] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 3
[[[[[],[]]],[[[]]]]] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 2
[[[[[[]]]],[[[]]]]] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => 2
[[[[],[],[[]]],[],[]]] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 2
[[[[],[[],[]]],[],[]]] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => 2
[[[[[]],[[]]],[],[]]] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 2
[[[[[],[]],[]],[],[]]] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => 2
[[[[[[]]],[]],[],[]]] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => 2
[[[[[],[[]]]],[],[]]] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 2
[[[[[[]],[]]],[],[]]] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 2
[[[[[[],[]]]],[],[]]] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 2
[[[[],[],[],[]],[[]]]] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 2
[[[[],[],[[]]],[[]]]] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 2
[[[[],[[]],[]],[[]]]] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => 2
[[[[],[[],[]]],[[]]]] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => 2
[[[[],[[[]]]],[[]]]] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => 2
[[[[[]],[],[]],[[]]]] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 2
[[[[[]],[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 2
[[[[[],[]],[]],[[]]]] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 2
[[[[[[]]],[]],[[]]]] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 2
[[[[[],[],[]]],[[]]]] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 2
[[[[[],[[]]]],[[]]]] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 2
[[[[[[]],[]]],[[]]]] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 2
[[[[[[],[]]]],[[]]]] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 2
[[[[[[[]]]]],[[]]]] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => 2
[[[[],[],[],[],[]],[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => 2
[[[[],[],[[],[]]],[]]] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => 2
[[[[],[],[[[]]]],[]]] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => 2
[[[[],[[]],[],[]],[]]] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => 2
[[[[],[[],[]],[]],[]]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 2
[[[[],[[[]]],[]],[]]] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => 2
[[[[],[[[]],[]]],[]]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => 2
[[[[],[[[],[]]]],[]]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => 2
[[[[],[[[[]]]]],[]]] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => 2
[[[[[]],[],[[]]],[]]] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 2
[[[[[],[]],[],[]],[]]] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => 2
[[[[[],[]],[[]]],[]]] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 2
[[[[[],[],[]],[]],[]]] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 2
[[[[[],[[]]],[]],[]]] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => 2
[[[[[[]],[]],[]],[]]] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => 2
[[[[[[],[]]],[]],[]]] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => 2
[[[[[[[]]]],[]],[]]] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 2
[[[[[],[],[[]]]],[]]] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 2
[[[[[],[[],[]]]],[]]] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => 2
[[[[[[],[]],[]]],[]]] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => 2
[[[[[[[]]],[]]],[]]] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => 2
[[[[[[],[],[]]]],[]]] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 2
[[[[[[[]],[]]]],[]]] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => 2
[[[[[[[],[]]]]],[]]] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 2
[[[[[[[[]]]]]],[]]] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[[],[],[],[],[],[]]]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[[[[],[],[],[[],[]]]]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[[[[],[],[[]],[[]]]]] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[[[[],[],[[],[],[]]]]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[[[[],[],[[],[[]]]]]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[[],[],[[[]],[]]]]] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[[[[],[],[[[],[]]]]]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[[[[],[[]],[],[],[]]]] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[[[[],[[]],[],[[]]]]] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[[[[],[[]],[[]],[]]]] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[[[[],[[]],[[],[]]]]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[[[[],[[],[]],[],[]]]] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[[[[],[[],[]],[[]]]]] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[[[[],[[],[],[],[]]]]] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[[[[],[[],[[]],[]]]]] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[[[[],[[[],[]],[]]]]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[[[[],[[[[]]],[]]]]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[[[[],[[[[[]]]]]]]] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[[[[[]],[],[],[],[]]]] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[[[[[]],[[],[]],[]]]] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[[[[[]],[[],[[]]]]]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2
[[[[[]],[[[]],[]]]]] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2
[[[[[]],[[[],[]]]]]] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => 2
[[[[[]],[[[[]]]]]]] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[[[[[],[]],[],[],[]]]] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2
[[[[[],[]],[],[[]]]]] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[[[[[],[]],[[]],[]]]] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[[[[[],[]],[[],[]]]]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[[[[[],[]],[[[]]]]]] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[[[[[[]]],[[],[]]]]] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2
[[[[[[]],[]],[],[]]]] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[[[[[[],[]]],[],[]]]] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2
[[[[[],[],[]],[[]]]]] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[[[[[],[[]]],[[]]]]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[[[[[[]],[]],[[]]]]] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[[[[[[],[]]],[[]]]]] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[[[[[],[],[[]]],[]]]] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[[[[[],[[[]]]],[]]]] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[[[[[[],[]],[]],[]]]] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[[[[[[[[]]]]],[]]]] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[[[],[],[],[],[]]]]] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[[[[[],[],[[],[]]]]]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[[[[[],[[],[],[]]]]]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[[[[[],[[[]],[]]]]]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[[[[[],[[[[]]]]]]]] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2
[[[[[[]],[],[],[]]]]] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[[[[[[]],[[],[]]]]]] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => 2
[[[[[[]],[[[]]]]]]] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2
[[[[[[],[]],[],[]]]]] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2
[[[[[[],[]],[[]]]]]] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[[[[[[],[],[]],[]]]]] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[[[[[[],[[]]],[]]]]] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2
[[[[[[[],[]]],[]]]]] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2
[[[[[[[[]]]],[]]]]] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2
[[[[[[],[],[],[]]]]]] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[[[[[[],[[],[]]]]]]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[[[[[[],[[[]]]]]]]] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2
[[[[[[[]],[],[]]]]]] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[[[[[[[]],[[]]]]]]] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2
[[[[[[[],[]],[]]]]]] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[[[[[[[[]]],[]]]]]] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2
[[[[[[[],[],[]]]]]]] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[[[[[[[],[[]]]]]]]] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2
[[[[[[[[]],[]]]]]]] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[[[[[[[[],[]]]]]]]] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[[[[[[[[[]]]]]]]]] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[[],[[[[],[]],[]],[[],[]]]] => [.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 3
[[[[[],[]],[]],[[],[]]],[]] => [[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 3
[[[[[[[[[]]]]]]]],[]] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1
[[],[[[[[[[[]]]]]]]]] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[[[[[[[[[[]]]]]]]]],[]] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[[[[[[],[]]]]]]],[]] => [[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2
[[],[[[[[[[],[]]]]]]]] => [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[[],[[[[[[[[[]]]]]]]]]] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[[],[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[],[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[],[],[],[],[],[],[[],[]]] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2
[[],[[],[],[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[[[],[],[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[[],[],[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[],[],[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[],[],[],[],[],[],[[[]]]] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1
[[[[]],[],[],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[[[],[],[],[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[[[]],[],[],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[],[]],[],[],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[[[],[],[]],[],[],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[[[],[],[],[]],[],[],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[[[],[],[],[],[]],[],[],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[[[],[],[],[],[],[]],[],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[[[],[],[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[]],[],[],[],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[[]]],[],[],[],[],[],[]] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[],[],[],[],[],[],[]],[],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[[[],[],[],[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[[],[],[],[],[],[],[]]]] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[[[[],[],[],[],[],[]]],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[[],[],[],[],[],[]],[]]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => 2
[[[],[[[[[[[]]]]]]]]] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[[[[[[[[[]]]]]]],[]]] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[],[[[[[[[[]]]]]]]]]] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[[[[[[[[[]]]]]],[]]]] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[[[[[[[[]]]]]]]],[]]] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[[[[[[[[]]]]]]]]]] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[[[[[[[[[[[]]]]]]]]]]] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[[],[],[[[[[[[]]]]]]]] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[[[[]],[],[],[],[],[]],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[]],[],[],[],[],[],[[]]] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[]],[],[],[],[],[[]],[]] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[]],[],[],[],[],[],[],[[]]] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[]],[],[],[],[],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[]],[[[[[[[]]]]]]]] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[[[[[[[[]]]]]]],[[]]] => [[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1
[[[],[]],[[[[[[]]]]]]] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[[[[[[[],[]]]]]],[[]]] => [[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => 2
[[[[[[[[[],[]]]]]]]]] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[[[[[[[[],[],[]]]]]]]] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[[[[[[[[[[],[]]]]]]]]]] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[[],[],[],[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[],[[]],[],[],[],[],[[]]] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[],[[]],[],[],[],[],[]]] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[[[[]],[],[],[],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[[[[[[[[[]]]]],[]]]]] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[[[[[[[]]]],[]]]]]] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2
[[[[[[[[[]]],[]]]]]]] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2
[[[[[[[[[]],[]]]]]]]] => [[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[[[[[[[[]]]]]]],[],[]] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[[[[[[[[]]]]]]],[]]]] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[[[[[[[[]]]]]],[]]]]] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[[[[[[[[]]]]],[]]]]]] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[[[[[[[[]]]],[]]]]]]] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2
[[[[[[[[[[]]],[]]]]]]]] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2
[[[[[[[[[[]],[]]]]]]]]] => [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[[[[[[[],[[[]]]]]]]]] => [[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2
[[[],[[[[[[]]]]]],[]]] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[[],[],[],[[]],[],[],[],[]] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[],[],[],[],[],[[]],[],[],[]] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1
[[],[],[[]],[],[],[],[],[]] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[],[],[],[],[],[[]],[[]]] => [.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1
[[[[[[[[],[]]]]]],[]]] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 2
[[[[[[[]]]]]],[],[],[]] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[[[[]]]]],[],[],[],[]] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[[[]]]],[],[],[],[],[]] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[[[[[[[]]]]]]]],[],[]] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[[[[[[]]]]]]],[],[],[]] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[[[[[]]]]]],[],[],[],[]] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[[[[]]]]],[],[],[],[],[]] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[[[]]]],[],[],[],[],[],[]] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[[]]],[],[],[],[],[],[],[]] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[[[[[[[[[],[]]]]]]]]]]] => [[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[[[],[],[],[],[],[]],[[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 2
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,1 8,6 16,26 32,100 64,364,1
F2=q
F3=2 q
F4=4 q+q2
F5=8 q+6 q2
F6=16 q+26 q2
F7=32 q+100 q2
F8=64 q+364 q2+q3
Description
The logarithmic height of a Dyck path.
This is the floor of the binary logarithm of the usual height increased by one:
⌊log2(1+height(D))⌋
This is the floor of the binary logarithm of the usual height increased by one:
⌊log2(1+height(D))⌋
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
pruning number to logarithmic height
Description
Francon's map from binary trees to Dyck paths.
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!