Identifier
Mp00050:
Ordered trees
—to binary tree: right brother = right child⟶
Binary trees
Mp00020: Binary trees —to Tamari-corresponding Dyck path⟶ Dyck paths
Mp00102: Dyck paths —rise composition⟶ Integer compositions
Mp00020: Binary trees —to Tamari-corresponding Dyck path⟶ Dyck paths
Mp00102: Dyck paths —rise composition⟶ Integer compositions
Images
[[]] => [.,.] => [1,0] => [1]
[[],[]] => [.,[.,.]] => [1,1,0,0] => [2]
[[[]]] => [[.,.],.] => [1,0,1,0] => [1,1]
[[],[],[]] => [.,[.,[.,.]]] => [1,1,1,0,0,0] => [3]
[[],[[]]] => [.,[[.,.],.]] => [1,1,0,1,0,0] => [2,1]
[[[]],[]] => [[.,.],[.,.]] => [1,0,1,1,0,0] => [1,2]
[[[],[]]] => [[.,[.,.]],.] => [1,1,0,0,1,0] => [2,1]
[[[[]]]] => [[[.,.],.],.] => [1,0,1,0,1,0] => [1,1,1]
[[],[],[],[]] => [.,[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0] => [4]
[[],[],[[]]] => [.,[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0] => [3,1]
[[],[[]],[]] => [.,[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0] => [2,2]
[[],[[],[]]] => [.,[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0] => [3,1]
[[],[[[]]]] => [.,[[[.,.],.],.]] => [1,1,0,1,0,1,0,0] => [2,1,1]
[[[]],[],[]] => [[.,.],[.,[.,.]]] => [1,0,1,1,1,0,0,0] => [1,3]
[[[]],[[]]] => [[.,.],[[.,.],.]] => [1,0,1,1,0,1,0,0] => [1,2,1]
[[[],[]],[]] => [[.,[.,.]],[.,.]] => [1,1,0,0,1,1,0,0] => [2,2]
[[[[]]],[]] => [[[.,.],.],[.,.]] => [1,0,1,0,1,1,0,0] => [1,1,2]
[[[],[],[]]] => [[.,[.,[.,.]]],.] => [1,1,1,0,0,0,1,0] => [3,1]
[[[],[[]]]] => [[.,[[.,.],.]],.] => [1,1,0,1,0,0,1,0] => [2,1,1]
[[[[]],[]]] => [[[.,.],[.,.]],.] => [1,0,1,1,0,0,1,0] => [1,2,1]
[[[[],[]]]] => [[[.,[.,.]],.],.] => [1,1,0,0,1,0,1,0] => [2,1,1]
[[[[[]]]]] => [[[[.,.],.],.],.] => [1,0,1,0,1,0,1,0] => [1,1,1,1]
[[],[],[],[],[]] => [.,[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,0,0,0,0] => [5]
[[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => [4,1]
[[],[],[[]],[]] => [.,[.,[[.,.],[.,.]]]] => [1,1,1,0,1,1,0,0,0,0] => [3,2]
[[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => [4,1]
[[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => [3,1,1]
[[],[[]],[],[]] => [.,[[.,.],[.,[.,.]]]] => [1,1,0,1,1,1,0,0,0,0] => [2,3]
[[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => [2,2,1]
[[],[[],[]],[]] => [.,[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [3,2]
[[],[[[]]],[]] => [.,[[[.,.],.],[.,.]]] => [1,1,0,1,0,1,1,0,0,0] => [2,1,2]
[[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => [4,1]
[[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => [3,1,1]
[[],[[[]],[]]] => [.,[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,1,0,0] => [2,2,1]
[[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => [3,1,1]
[[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => [2,1,1,1]
[[[]],[],[],[]] => [[.,.],[.,[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,4]
[[[]],[],[[]]] => [[.,.],[.,[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0] => [1,3,1]
[[[]],[[]],[]] => [[.,.],[[.,.],[.,.]]] => [1,0,1,1,0,1,1,0,0,0] => [1,2,2]
[[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => [1,3,1]
[[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => [1,2,1,1]
[[[],[]],[],[]] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,0,1,1,1,0,0,0] => [2,3]
[[[[]]],[],[]] => [[[.,.],.],[.,[.,.]]] => [1,0,1,0,1,1,1,0,0,0] => [1,1,3]
[[[],[]],[[]]] => [[.,[.,.]],[[.,.],.]] => [1,1,0,0,1,1,0,1,0,0] => [2,2,1]
[[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => [1,1,2,1]
[[[],[],[]],[]] => [[.,[.,[.,.]]],[.,.]] => [1,1,1,0,0,0,1,1,0,0] => [3,2]
[[[],[[]]],[]] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,0,0,1,1,0,0] => [2,1,2]
[[[[]],[]],[]] => [[[.,.],[.,.]],[.,.]] => [1,0,1,1,0,0,1,1,0,0] => [1,2,2]
[[[[],[]]],[]] => [[[.,[.,.]],.],[.,.]] => [1,1,0,0,1,0,1,1,0,0] => [2,1,2]
[[[[[]]]],[]] => [[[[.,.],.],.],[.,.]] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,2]
[[[],[],[],[]]] => [[.,[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,0,1,0] => [4,1]
[[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => [3,1,1]
[[[],[[]],[]]] => [[.,[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => [2,2,1]
[[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => [3,1,1]
[[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => [2,1,1,1]
[[[[]],[],[]]] => [[[.,.],[.,[.,.]]],.] => [1,0,1,1,1,0,0,0,1,0] => [1,3,1]
[[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => [1,2,1,1]
[[[[],[]],[]]] => [[[.,[.,.]],[.,.]],.] => [1,1,0,0,1,1,0,0,1,0] => [2,2,1]
[[[[[]]],[]]] => [[[[.,.],.],[.,.]],.] => [1,0,1,0,1,1,0,0,1,0] => [1,1,2,1]
[[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => [3,1,1]
[[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => [2,1,1,1]
[[[[[]],[]]]] => [[[[.,.],[.,.]],.],.] => [1,0,1,1,0,0,1,0,1,0] => [1,2,1,1]
[[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => [2,1,1,1]
[[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1]
[[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6]
[[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [5,1]
[[],[],[],[[]],[]] => [.,[.,[.,[[.,.],[.,.]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [4,2]
[[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [5,1]
[[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1]
[[],[],[[]],[],[]] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [3,3]
[[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1]
[[],[],[[],[]],[]] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [4,2]
[[],[],[[[]]],[]] => [.,[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2]
[[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [5,1]
[[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1]
[[],[],[[[]],[]]] => [.,[.,[[[.,.],[.,.]],.]]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1]
[[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [4,1,1]
[[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1]
[[],[[]],[],[],[]] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,4]
[[],[[]],[],[[]]] => [.,[[.,.],[.,[[.,.],.]]]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1]
[[],[[]],[[]],[]] => [.,[[.,.],[[.,.],[.,.]]]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2]
[[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1]
[[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1]
[[],[[],[]],[],[]] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,3]
[[],[[[]]],[],[]] => [.,[[[.,.],.],[.,[.,.]]]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3]
[[],[[],[]],[[]]] => [.,[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,1]
[[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1]
[[],[[],[],[]],[]] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,2]
[[],[[],[[]]],[]] => [.,[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,1,2]
[[],[[[]],[]],[]] => [.,[[[.,.],[.,.]],[.,.]]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2]
[[],[[[],[]]],[]] => [.,[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,1,2]
[[],[[[[]]]],[]] => [.,[[[[.,.],.],.],[.,.]]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,2]
[[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1]
[[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1]
[[],[[],[[]],[]]] => [.,[[.,[[.,.],[.,.]]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1]
[[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,1]
[[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1]
[[],[[[]],[],[]]] => [.,[[[.,.],[.,[.,.]]],.]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1]
[[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1]
[[],[[[],[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,1]
[[],[[[[]]],[]]] => [.,[[[[.,.],.],[.,.]],.]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1]
>>> Load all 2229 entries. <<<
[[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1]
[[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1]
[[],[[[[]],[]]]] => [.,[[[[.,.],[.,.]],.],.]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,1,1]
[[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1]
[[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1]
[[[]],[],[],[],[]] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,5]
[[[]],[],[],[[]]] => [[.,.],[.,[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1]
[[[]],[],[[]],[]] => [[.,.],[.,[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2]
[[[]],[],[[],[]]] => [[.,.],[.,[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1]
[[[]],[],[[[]]]] => [[.,.],[.,[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1]
[[[]],[[]],[],[]] => [[.,.],[[.,.],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3]
[[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1]
[[[]],[[],[]],[]] => [[.,.],[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2]
[[[]],[[[]]],[]] => [[.,.],[[[.,.],.],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,1,2]
[[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1]
[[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1]
[[[]],[[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,1]
[[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,3,1,1]
[[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1]
[[[],[]],[],[],[]] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,4]
[[[[]]],[],[],[]] => [[[.,.],.],[.,[.,[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4]
[[[],[]],[],[[]]] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1]
[[[[]]],[],[[]]] => [[[.,.],.],[.,[[.,.],.]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,3,1]
[[[],[]],[[]],[]] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2]
[[[[]]],[[]],[]] => [[[.,.],.],[[.,.],[.,.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,2,2]
[[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1]
[[[],[]],[[[]]]] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,1,1]
[[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,3,1]
[[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,2,1,1]
[[[],[],[]],[],[]] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3]
[[[],[[]]],[],[]] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,1,3]
[[[[]],[]],[],[]] => [[[.,.],[.,.]],[.,[.,.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3]
[[[[],[]]],[],[]] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3]
[[[[[]]]],[],[]] => [[[[.,.],.],.],[.,[.,.]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,3]
[[[],[],[]],[[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1]
[[[],[[]]],[[]]] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,1,2,1]
[[[[]],[]],[[]]] => [[[.,.],[.,.]],[[.,.],.]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,1]
[[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,2,1]
[[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,2,1]
[[[],[],[],[]],[]] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,2]
[[[],[],[[]]],[]] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,1,2]
[[[],[[]],[]],[]] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2]
[[[],[[],[]]],[]] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,2]
[[[],[[[]]]],[]] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,2]
[[[[]],[],[]],[]] => [[[.,.],[.,[.,.]]],[.,.]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2]
[[[[]],[[]]],[]] => [[[.,.],[[.,.],.]],[.,.]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,1,2]
[[[[],[]],[]],[]] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2]
[[[[[]]],[]],[]] => [[[[.,.],.],[.,.]],[.,.]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,2,2]
[[[[],[],[]]],[]] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2]
[[[[],[[]]]],[]] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,2]
[[[[[]],[]]],[]] => [[[[.,.],[.,.]],.],[.,.]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,1,2]
[[[[[],[]]]],[]] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,2]
[[[[[[]]]]],[]] => [[[[[.,.],.],.],.],[.,.]] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,2]
[[[],[],[],[],[]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,1]
[[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => [4,1,1]
[[[],[],[[]],[]]] => [[.,[.,[[.,.],[.,.]]]],.] => [1,1,1,0,1,1,0,0,0,0,1,0] => [3,2,1]
[[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,1]
[[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1]
[[[],[[]],[],[]]] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,3,1]
[[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,2,1,1]
[[[],[[],[]],[]]] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,1]
[[[],[[[]]],[]]] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,2,1]
[[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,1]
[[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1]
[[[],[[[]],[]]]] => [[.,[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,1,1]
[[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1]
[[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1]
[[[[]],[],[],[]]] => [[[.,.],[.,[.,[.,.]]]],.] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,4,1]
[[[[]],[],[[]]]] => [[[.,.],[.,[[.,.],.]]],.] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,3,1,1]
[[[[]],[[]],[]]] => [[[.,.],[[.,.],[.,.]]],.] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,2,1]
[[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,3,1,1]
[[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1]
[[[[],[]],[],[]]] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1]
[[[[[]]],[],[]]] => [[[[.,.],.],[.,[.,.]]],.] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,3,1]
[[[[],[]],[[]]]] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,1,1]
[[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,2,1,1]
[[[[],[],[]],[]]] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1]
[[[[],[[]]],[]]] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,2,1]
[[[[[]],[]],[]]] => [[[[.,.],[.,.]],[.,.]],.] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,1]
[[[[[],[]]],[]]] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,2,1]
[[[[[[]]]],[]]] => [[[[[.,.],.],.],[.,.]],.] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1]
[[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,1]
[[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1]
[[[[],[[]],[]]]] => [[[.,[[.,.],[.,.]]],.],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,2,1,1]
[[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1]
[[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1]
[[[[[]],[],[]]]] => [[[[.,.],[.,[.,.]]],.],.] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,3,1,1]
[[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1]
[[[[[],[]],[]]]] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,1,1]
[[[[[[]]],[]]]] => [[[[[.,.],.],[.,.]],.],.] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,2,1,1]
[[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1]
[[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1]
[[[[[[]],[]]]]] => [[[[[.,.],[.,.]],.],.],.] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1]
[[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1]
[[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1]
[[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7]
[[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [6,1]
[[],[],[],[],[[]],[]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [5,2]
[[],[],[],[],[[],[]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [6,1]
[[],[],[],[],[[[]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1]
[[],[],[],[[]],[],[]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [4,3]
[[],[],[],[[]],[[]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [4,2,1]
[[],[],[],[[],[]],[]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [5,2]
[[],[],[],[[[]]],[]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [4,1,2]
[[],[],[],[[],[],[]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,1]
[[],[],[],[[],[[]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [5,1,1]
[[],[],[],[[[]],[]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,1]
[[],[],[],[[[],[]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [5,1,1]
[[],[],[],[[[[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [4,1,1,1]
[[],[],[[]],[],[],[]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,4]
[[],[],[[]],[],[[]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,3,1]
[[],[],[[]],[[]],[]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,2,2]
[[],[],[[]],[[],[]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,3,1]
[[],[],[[]],[[[]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1]
[[],[],[[],[]],[],[]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [4,3]
[[],[],[[[]]],[],[]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,1,3]
[[],[],[[],[]],[[]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [4,2,1]
[[],[],[[[]]],[[]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,1,2,1]
[[],[],[[],[],[]],[]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [5,2]
[[],[],[[],[[]]],[]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,1,2]
[[],[],[[[]],[]],[]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,2,2]
[[],[],[[[],[]]],[]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [4,1,2]
[[],[],[[[[]]]],[]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,2]
[[],[],[[],[],[],[]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,1]
[[],[],[[],[],[[]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [5,1,1]
[[],[],[[],[[]],[]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [4,2,1]
[[],[],[[],[[],[]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [5,1,1]
[[],[],[[],[[[]]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [4,1,1,1]
[[],[],[[[]],[],[]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [3,3,1]
[[],[],[[[]],[[]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [3,2,1,1]
[[],[],[[[],[]],[]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,2,1]
[[],[],[[[[]]],[]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [3,1,2,1]
[[],[],[[[],[],[]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [5,1,1]
[[],[],[[[],[[]]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [4,1,1,1]
[[],[],[[[[]],[]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [3,2,1,1]
[[],[],[[[[],[]]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [4,1,1,1]
[[],[],[[[[[]]]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1]
[[],[[]],[],[],[],[]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,5]
[[],[[]],[],[],[[]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,4,1]
[[],[[]],[],[[]],[]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,3,2]
[[],[[]],[],[[],[]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,4,1]
[[],[[]],[],[[[]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,1,1]
[[],[[]],[[]],[],[]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,2,3]
[[],[[]],[[]],[[]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,2,2,1]
[[],[[]],[[],[]],[]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,3,2]
[[],[[]],[[[]]],[]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1,2]
[[],[[]],[[],[],[]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,4,1]
[[],[[]],[[],[[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,1,1]
[[],[[]],[[[]],[]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,2,2,1]
[[],[[]],[[[],[]]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,1,1]
[[],[[]],[[[[]]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,2,1,1,1]
[[],[[],[]],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,4]
[[],[[[]]],[],[],[]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,1,4]
[[],[[],[]],[],[[]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,3,1]
[[],[[[]]],[],[[]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,1,3,1]
[[],[[],[]],[[]],[]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,2,2]
[[],[[[]]],[[]],[]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,1,2,2]
[[],[[],[]],[[],[]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [3,3,1]
[[],[[],[]],[[[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1]
[[],[[[]]],[[],[]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,1,3,1]
[[],[[[]]],[[[]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,1,2,1,1]
[[],[[],[],[]],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3]
[[],[[],[[]]],[],[]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,3]
[[],[[[]],[]],[],[]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,2,3]
[[],[[[],[]]],[],[]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,3]
[[],[[[[]]]],[],[]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,1,1,3]
[[],[[],[],[]],[[]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,2,1]
[[],[[],[[]]],[[]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,1,2,1]
[[],[[[]],[]],[[]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,2,2,1]
[[],[[[],[]]],[[]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [3,1,2,1]
[[],[[[[]]]],[[]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,2,1]
[[],[[],[],[],[]],[]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,2]
[[],[[],[],[[]]],[]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [4,1,2]
[[],[[],[[]],[]],[]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,2,2]
[[],[[],[[],[]]],[]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,1,2]
[[],[[],[[[]]]],[]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [3,1,1,2]
[[],[[[]],[],[]],[]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,3,2]
[[],[[[]],[[]]],[]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,2,1,2]
[[],[[[],[]],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,2]
[[],[[[[]]],[]],[]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,1,2,2]
[[],[[[],[],[]]],[]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,1,2]
[[],[[[],[[]]]],[]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [3,1,1,2]
[[],[[[[]],[]]],[]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,2,1,2]
[[],[[[[],[]]]],[]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [3,1,1,2]
[[],[[[[[]]]]],[]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,2]
[[],[[],[],[],[],[]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1]
[[],[[],[],[],[[]]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,1,1]
[[],[[],[],[[]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,2,1]
[[],[[],[],[[],[]]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,1]
[[],[[],[],[[[]]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [4,1,1,1]
[[],[[],[[]],[],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [3,3,1]
[[],[[],[[]],[[]]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,2,1,1]
[[],[[],[[],[]],[]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [4,2,1]
[[],[[],[[[]]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [3,1,2,1]
[[],[[],[[],[],[]]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [5,1,1]
[[],[[],[[],[[]]]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [4,1,1,1]
[[],[[],[[[]],[]]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,2,1,1]
[[],[[],[[[],[]]]]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [4,1,1,1]
[[],[[],[[[[]]]]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1,1]
[[],[[[]],[],[],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,4,1]
[[],[[[]],[],[[]]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,3,1,1]
[[],[[[]],[[]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,2,2,1]
[[],[[[]],[[],[]]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,1]
[[],[[[]],[[[]]]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,2,1,1,1]
[[],[[[],[]],[],[]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,3,1]
[[],[[[[]]],[],[]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,1,3,1]
[[],[[[],[]],[[]]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,2,1,1]
[[],[[[[]]],[[]]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,1,2,1,1]
[[],[[[],[],[]],[]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [4,2,1]
[[],[[[],[[]]],[]]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [3,1,2,1]
[[],[[[[]],[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,1]
[[],[[[[],[]]],[]]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [3,1,2,1]
[[],[[[[[]]]],[]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,1,1,2,1]
[[],[[[],[],[],[]]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,1]
[[],[[[],[],[[]]]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [4,1,1,1]
[[],[[[],[[]],[]]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [3,2,1,1]
[[],[[[],[[],[]]]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [4,1,1,1]
[[],[[[],[[[]]]]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1,1]
[[],[[[[]],[],[]]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,1]
[[],[[[[]],[[]]]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,2,1,1,1]
[[],[[[[],[]],[]]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,2,1,1]
[[],[[[[[]]],[]]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,1,2,1,1]
[[],[[[[],[],[]]]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,1,1,1]
[[],[[[[],[[]]]]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1,1]
[[],[[[[[]],[]]]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,2,1,1,1]
[[],[[[[[],[]]]]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1]
[[],[[[[[[]]]]]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1]
[[[]],[],[],[],[],[]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,6]
[[[]],[],[],[],[[]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,5,1]
[[[]],[],[],[[]],[]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,4,2]
[[[]],[],[],[[],[]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,5,1]
[[[]],[],[],[[[]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,4,1,1]
[[[]],[],[[]],[],[]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,3,3]
[[[]],[],[[]],[[]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,3,2,1]
[[[]],[],[[],[]],[]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,4,2]
[[[]],[],[[[]]],[]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,3,1,2]
[[[]],[],[[],[],[]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,5,1]
[[[]],[],[[],[[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,4,1,1]
[[[]],[],[[[]],[]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,3,2,1]
[[[]],[],[[[],[]]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,4,1,1]
[[[]],[],[[[[]]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1]
[[[]],[[]],[],[],[]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,2,4]
[[[]],[[]],[],[[]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,2,3,1]
[[[]],[[]],[[]],[]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,2,2,2]
[[[]],[[]],[[],[]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,3,1]
[[[]],[[]],[[[]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,2,2,1,1]
[[[]],[[],[]],[],[]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,3,3]
[[[]],[[[]]],[],[]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,3]
[[[]],[[],[]],[[]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,3,2,1]
[[[]],[[[]]],[[]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,2,1]
[[[]],[[],[],[]],[]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,4,2]
[[[]],[[],[[]]],[]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,3,1,2]
[[[]],[[[]],[]],[]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,2,2,2]
[[[]],[[[],[]]],[]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,3,1,2]
[[[]],[[[[]]]],[]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,2]
[[[]],[[],[],[],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,5,1]
[[[]],[[],[],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,4,1,1]
[[[]],[[],[[]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,3,2,1]
[[[]],[[],[[],[]]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,4,1,1]
[[[]],[[],[[[]]]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,3,1,1,1]
[[[]],[[[]],[],[]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,2,3,1]
[[[]],[[[]],[[]]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,2,2,1,1]
[[[]],[[[],[]],[]]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,1]
[[[]],[[[[]]],[]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,2,1,2,1]
[[[]],[[[],[],[]]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,4,1,1]
[[[]],[[[],[[]]]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,3,1,1,1]
[[[]],[[[[]],[]]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,2,2,1,1]
[[[]],[[[[],[]]]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,3,1,1,1]
[[[]],[[[[[]]]]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1]
[[[],[]],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5]
[[[[]]],[],[],[],[]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,5]
[[[],[]],[],[],[[]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,4,1]
[[[[]]],[],[],[[]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,4,1]
[[[],[]],[],[[]],[]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,3,2]
[[[[]]],[],[[]],[]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,3,2]
[[[],[]],[],[[],[]]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,4,1]
[[[],[]],[],[[[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,3,1,1]
[[[[]]],[],[[],[]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,4,1]
[[[[]]],[],[[[]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,3,1,1]
[[[],[]],[[]],[],[]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,2,3]
[[[[]]],[[]],[],[]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,2,3]
[[[],[]],[[]],[[]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,2,2,1]
[[[[]]],[[]],[[]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,2,2,1]
[[[],[]],[[],[]],[]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,3,2]
[[[],[]],[[[]]],[]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,2,1,2]
[[[[]]],[[],[]],[]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,3,2]
[[[[]]],[[[]]],[]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,2,1,2]
[[[],[]],[[],[],[]]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1]
[[[],[]],[[],[[]]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,3,1,1]
[[[],[]],[[[]],[]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,2,2,1]
[[[],[]],[[[],[]]]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,1]
[[[],[]],[[[[]]]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1]
[[[[]]],[[],[],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,4,1]
[[[[]]],[[],[[]]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,3,1,1]
[[[[]]],[[[]],[]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,2,2,1]
[[[[]]],[[[],[]]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,3,1,1]
[[[[]]],[[[[]]]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1]
[[[],[],[]],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,4]
[[[],[[]]],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4]
[[[[]],[]],[],[],[]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4]
[[[[],[]]],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4]
[[[[[]]]],[],[],[]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,4]
[[[],[],[]],[],[[]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,3,1]
[[[],[[]]],[],[[]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,1,3,1]
[[[[]],[]],[],[[]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,2,3,1]
[[[[],[]]],[],[[]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,1]
[[[[[]]]],[],[[]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,3,1]
[[[],[],[]],[[]],[]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,2,2]
[[[],[[]]],[[]],[]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,1,2,2]
[[[[]],[]],[[]],[]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,2,2]
[[[[],[]]],[[]],[]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,2,2]
[[[[[]]]],[[]],[]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,2,2]
[[[],[],[]],[[],[]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,3,1]
[[[],[],[]],[[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,2,1,1]
[[[],[[]]],[[],[]]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,3,1]
[[[],[[]]],[[[]]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,1,2,1,1]
[[[[]],[]],[[],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,3,1]
[[[[]],[]],[[[]]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,2,1,1]
[[[[],[]]],[[],[]]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,1]
[[[[],[]]],[[[]]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,2,1,1]
[[[[[]]]],[[],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,3,1]
[[[[[]]]],[[[]]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,2,1,1]
[[[],[],[],[]],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3]
[[[],[],[[]]],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,1,3]
[[[],[[]],[]],[],[]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,2,3]
[[[],[[],[]]],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,1,3]
[[[],[[[]]]],[],[]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,1,1,3]
[[[[]],[],[]],[],[]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,3]
[[[[]],[[]]],[],[]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,2,1,3]
[[[[],[]],[]],[],[]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,3]
[[[[[]]],[]],[],[]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,2,3]
[[[[],[],[]]],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,3]
[[[[],[[]]]],[],[]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,1,1,3]
[[[[[]],[]]],[],[]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,3]
[[[[[],[]]]],[],[]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,3]
[[[[[[]]]]],[],[]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,3]
[[[],[],[],[]],[[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,2,1]
[[[],[],[[]]],[[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,2,1]
[[[],[[]],[]],[[]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,2,2,1]
[[[],[[],[]]],[[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,2,1]
[[[],[[[]]]],[[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,1,1,2,1]
[[[[]],[],[]],[[]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,3,2,1]
[[[[]],[[]]],[[]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,2,1,2,1]
[[[[],[]],[]],[[]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,1]
[[[[[]]],[]],[[]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,2,2,1]
[[[[],[],[]]],[[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,2,1]
[[[[],[[]]]],[[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,1,1,2,1]
[[[[[]],[]]],[[]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,2,1]
[[[[[],[]]]],[[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,2,1]
[[[[[[]]]]],[[]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,2,1]
[[[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,2]
[[[],[],[],[[]]],[]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [4,1,2]
[[[],[],[[]],[]],[]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,2,2]
[[[],[],[[],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [4,1,2]
[[[],[],[[[]]]],[]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,2]
[[[],[[]],[],[]],[]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,3,2]
[[[],[[]],[[]]],[]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,2,1,2]
[[[],[[],[]],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,2,2]
[[[],[[[]]],[]],[]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,1,2,2]
[[[],[[],[],[]]],[]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [4,1,2]
[[[],[[],[[]]]],[]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,1,1,2]
[[[],[[[]],[]]],[]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,1,2]
[[[],[[[],[]]]],[]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,1,1,2]
[[[],[[[[]]]]],[]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,2]
[[[[]],[],[],[]],[]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,4,2]
[[[[]],[],[[]]],[]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,3,1,2]
[[[[]],[[]],[]],[]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,2,2,2]
[[[[]],[[],[]]],[]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,3,1,2]
[[[[]],[[[]]]],[]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,2]
[[[[],[]],[],[]],[]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,3,2]
[[[[[]]],[],[]],[]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,3,2]
[[[[],[]],[[]]],[]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,2,1,2]
[[[[[]]],[[]]],[]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,2,1,2]
[[[[],[],[]],[]],[]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2]
[[[[],[[]]],[]],[]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,2,2]
[[[[[]],[]],[]],[]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2]
[[[[[],[]]],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,2,2]
[[[[[[]]]],[]],[]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2]
[[[[],[],[],[]]],[]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2]
[[[[],[],[[]]]],[]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,1,1,2]
[[[[],[[]],[]]],[]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,2,1,2]
[[[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,1,1,2]
[[[[],[[[]]]]],[]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,1,2]
[[[[[]],[],[]]],[]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,3,1,2]
[[[[[]],[[]]]],[]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,2,1,1,2]
[[[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,1,2]
[[[[[[]]],[]]],[]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,2,1,2]
[[[[[],[],[]]]],[]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2]
[[[[[],[[]]]]],[]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2]
[[[[[[]],[]]]],[]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,2]
[[[[[[],[]]]]],[]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2]
[[[[[[[]]]]]],[]] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,2]
[[[],[],[],[],[],[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1]
[[[],[],[],[],[[]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,1,1]
[[[],[],[],[[]],[]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,2,1]
[[[],[],[],[[],[]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,1]
[[[],[],[],[[[]]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,1,1,1]
[[[],[],[[]],[],[]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,3,1]
[[[],[],[[]],[[]]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,2,1,1]
[[[],[],[[],[]],[]]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,2,1]
[[[],[],[[[]]],[]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,2,1]
[[[],[],[[],[],[]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,1]
[[[],[],[[],[[]]]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,1,1,1]
[[[],[],[[[]],[]]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,2,1,1]
[[[],[],[[[],[]]]]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [4,1,1,1]
[[[],[],[[[[]]]]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1]
[[[],[[]],[],[],[]]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,4,1]
[[[],[[]],[],[[]]]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,3,1,1]
[[[],[[]],[[]],[]]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,2,2,1]
[[[],[[]],[[],[]]]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,3,1,1]
[[[],[[]],[[[]]]]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,2,1,1,1]
[[[],[[],[]],[],[]]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,3,1]
[[[],[[[]]],[],[]]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,1]
[[[],[[],[]],[[]]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,2,1,1]
[[[],[[[]]],[[]]]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,2,1,1]
[[[],[[],[],[]],[]]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [4,2,1]
[[[],[[],[[]]],[]]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,2,1]
[[[],[[[]],[]],[]]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,2,2,1]
[[[],[[[],[]]],[]]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,2,1]
[[[],[[[[]]]],[]]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,1,2,1]
[[[],[[],[],[],[]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,1]
[[[],[[],[],[[]]]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [4,1,1,1]
[[[],[[],[[]],[]]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,2,1,1]
[[[],[[],[[],[]]]]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [4,1,1,1]
[[[],[[],[[[]]]]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1,1]
[[[],[[[]],[],[]]]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,3,1,1]
[[[],[[[]],[[]]]]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,2,1,1,1]
[[[],[[[],[]],[]]]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,2,1,1]
[[[],[[[[]]],[]]]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,2,1,1]
[[[],[[[],[],[]]]]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [4,1,1,1]
[[[],[[[],[[]]]]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1,1]
[[[],[[[[]],[]]]]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,2,1,1,1]
[[[],[[[[],[]]]]]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1]
[[[],[[[[[]]]]]]] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1]
[[[[]],[],[],[],[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,5,1]
[[[[]],[],[],[[]]]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,4,1,1]
[[[[]],[],[[]],[]]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,3,2,1]
[[[[]],[],[[],[]]]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,4,1,1]
[[[[]],[],[[[]]]]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,3,1,1,1]
[[[[]],[[]],[],[]]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,2,3,1]
[[[[]],[[]],[[]]]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,2,2,1,1]
[[[[]],[[],[]],[]]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,3,2,1]
[[[[]],[[[]]],[]]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,2,1,2,1]
[[[[]],[[],[],[]]]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,4,1,1]
[[[[]],[[],[[]]]]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,3,1,1,1]
[[[[]],[[[]],[]]]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,2,2,1,1]
[[[[]],[[[],[]]]]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,3,1,1,1]
[[[[]],[[[[]]]]]] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1]
[[[[],[]],[],[],[]]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,4,1]
[[[[[]]],[],[],[]]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,4,1]
[[[[],[]],[],[[]]]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,3,1,1]
[[[[[]]],[],[[]]]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,3,1,1]
[[[[],[]],[[]],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,2,1]
[[[[[]]],[[]],[]]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,2,2,1]
[[[[],[]],[[],[]]]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,3,1,1]
[[[[],[]],[[[]]]]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1]
[[[[[]]],[[],[]]]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,3,1,1]
[[[[[]]],[[[]]]]] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1]
[[[[],[],[]],[],[]]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,3,1]
[[[[],[[]]],[],[]]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,3,1]
[[[[[]],[]],[],[]]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,3,1]
[[[[[],[]]],[],[]]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,1]
[[[[[[]]]],[],[]]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,3,1]
[[[[],[],[]],[[]]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,2,1,1]
[[[[],[[]]],[[]]]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,2,1,1]
[[[[[]],[]],[[]]]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,2,2,1,1]
[[[[[],[]]],[[]]]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,2,1,1]
[[[[[[]]]],[[]]]] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,2,1,1]
[[[[],[],[],[]],[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,2,1]
[[[[],[],[[]]],[]]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,2,1]
[[[[],[[]],[]],[]]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,2,2,1]
[[[[],[[],[]]],[]]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,2,1]
[[[[],[[[]]]],[]]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,2,1]
[[[[[]],[],[]],[]]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,3,2,1]
[[[[[]],[[]]],[]]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,2,1,2,1]
[[[[[],[]],[]],[]]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,1]
[[[[[[]]],[]],[]]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,1]
[[[[[],[],[]]],[]]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1]
[[[[[],[[]]]],[]]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1]
[[[[[[]],[]]],[]]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,2,1]
[[[[[[],[]]]],[]]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1]
[[[[[[[]]]]],[]]] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,2,1]
[[[[],[],[],[],[]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,1]
[[[[],[],[],[[]]]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,1]
[[[[],[],[[]],[]]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,2,1,1]
[[[[],[],[[],[]]]]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [4,1,1,1]
[[[[],[],[[[]]]]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1,1]
[[[[],[[]],[],[]]]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,3,1,1]
[[[[],[[]],[[]]]]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,2,1,1,1]
[[[[],[[],[]],[]]]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,2,1,1]
[[[[],[[[]]],[]]]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,2,1,1]
[[[[],[[],[],[]]]]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [4,1,1,1]
[[[[],[[],[[]]]]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1,1]
[[[[],[[[]],[]]]]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,2,1,1,1]
[[[[],[[[],[]]]]]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1]
[[[[],[[[[]]]]]]] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1]
[[[[[]],[],[],[]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,4,1,1]
[[[[[]],[],[[]]]]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,3,1,1,1]
[[[[[]],[[]],[]]]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,2,2,1,1]
[[[[[]],[[],[]]]]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,3,1,1,1]
[[[[[]],[[[]]]]]] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1]
[[[[[],[]],[],[]]]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,1]
[[[[[[]]],[],[]]]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,3,1,1]
[[[[[],[]],[[]]]]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1]
[[[[[[]]],[[]]]]] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,2,1,1,1]
[[[[[],[],[]],[]]]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1]
[[[[[],[[]]],[]]]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1]
[[[[[[]],[]],[]]]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,1,1]
[[[[[[],[]]],[]]]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1]
[[[[[[[]]]],[]]]] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,2,1,1]
[[[[[],[],[],[]]]]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1]
[[[[[],[],[[]]]]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1,1]
[[[[[],[[]],[]]]]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,2,1,1,1]
[[[[[],[[],[]]]]]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1]
[[[[[],[[[]]]]]]] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1]
[[[[[[]],[],[]]]]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1]
[[[[[[]],[[]]]]]] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1,1]
[[[[[[],[]],[]]]]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1]
[[[[[[[]]],[]]]]] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1]
[[[[[[],[],[]]]]]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1]
[[[[[[],[[]]]]]]] => [[[[[.,[[.,.],.]],.],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1]
[[[[[[[]],[]]]]]] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1]
[[[[[[[],[]]]]]]] => [[[[[[.,[.,.]],.],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1]
[[[[[[[[]]]]]]]] => [[[[[[[.,.],.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1]
[[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8]
[[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [7,1]
[[],[],[],[],[],[[]],[]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [6,2]
[[],[],[],[],[],[[],[]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [7,1]
[[],[],[],[],[],[[[]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1]
[[],[],[],[],[[]],[],[]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [5,3]
[[],[],[],[],[[]],[[]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [5,2,1]
[[],[],[],[],[[],[]],[]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [6,2]
[[],[],[],[],[[[]]],[]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [5,1,2]
[[],[],[],[],[[],[],[]]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [7,1]
[[],[],[],[],[[],[[]]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [6,1,1]
[[],[],[],[],[[[]],[]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [5,2,1]
[[],[],[],[],[[[],[]]]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [6,1,1]
[[],[],[],[],[[[[]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [5,1,1,1]
[[],[],[],[[]],[],[],[]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [4,4]
[[],[],[],[[]],[],[[]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [4,3,1]
[[],[],[],[[]],[[]],[]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [4,2,2]
[[],[],[],[[]],[[],[]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [4,3,1]
[[],[],[],[[]],[[[]]]] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [4,2,1,1]
[[],[],[],[[],[]],[],[]] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [5,3]
[[],[],[],[[[]]],[],[]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [4,1,3]
[[],[],[],[[],[]],[[]]] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [5,2,1]
[[],[],[],[[[]]],[[]]] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [4,1,2,1]
[[],[],[],[[],[],[]],[]] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [6,2]
[[],[],[],[[],[[]]],[]] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [5,1,2]
[[],[],[],[[[]],[]],[]] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [4,2,2]
[[],[],[],[[[],[]]],[]] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [5,1,2]
[[],[],[],[[[[]]]],[]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,1,1,2]
[[],[],[],[[],[],[],[]]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [7,1]
[[],[],[],[[],[],[[]]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [6,1,1]
[[],[],[],[[],[[]],[]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [5,2,1]
[[],[],[],[[],[[],[]]]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [6,1,1]
[[],[],[],[[],[[[]]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [5,1,1,1]
[[],[],[],[[[]],[],[]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [4,3,1]
[[],[],[],[[[]],[[]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1]
[[],[],[],[[[],[]],[]]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [5,2,1]
[[],[],[],[[[[]]],[]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [4,1,2,1]
[[],[],[],[[[],[],[]]]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [6,1,1]
[[],[],[],[[[],[[]]]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [5,1,1,1]
[[],[],[],[[[[]],[]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [4,2,1,1]
[[],[],[],[[[[],[]]]]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [5,1,1,1]
[[],[],[],[[[[[]]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,1,1,1,1]
[[],[],[[]],[],[],[],[]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,5]
[[],[],[[]],[],[],[[]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [3,4,1]
[[],[],[[]],[],[[]],[]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [3,3,2]
[[],[],[[]],[],[[],[]]] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [3,4,1]
[[],[],[[]],[],[[[]]]] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [3,3,1,1]
[[],[],[[]],[[]],[],[]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [3,2,3]
[[],[],[[]],[[]],[[]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1]
[[],[],[[]],[[],[]],[]] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,2]
[[],[],[[]],[[[]]],[]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [3,2,1,2]
[[],[],[[]],[[],[],[]]] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [3,4,1]
[[],[],[[]],[[],[[]]]] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [3,3,1,1]
[[],[],[[]],[[[]],[]]] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [3,2,2,1]
[[],[],[[]],[[[],[]]]] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [3,3,1,1]
[[],[],[[]],[[[[]]]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1]
[[],[],[[],[]],[],[],[]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [4,4]
[[],[],[[[]]],[],[],[]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [3,1,4]
[[],[],[[],[]],[],[[]]] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [4,3,1]
[[],[],[[[]]],[],[[]]] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [3,1,3,1]
[[],[],[[],[]],[[]],[]] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [4,2,2]
[[],[],[[[]]],[[]],[]] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [3,1,2,2]
[[],[],[[],[]],[[],[]]] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [4,3,1]
[[],[],[[],[]],[[[]]]] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [4,2,1,1]
[[],[],[[[]]],[[],[]]] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [3,1,3,1]
[[],[],[[[]]],[[[]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [3,1,2,1,1]
[[],[],[[],[],[]],[],[]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,3]
[[],[],[[],[[]]],[],[]] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [4,1,3]
[[],[],[[[]],[]],[],[]] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [3,2,3]
[[],[],[[[],[]]],[],[]] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [4,1,3]
[[],[],[[[[]]]],[],[]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [3,1,1,3]
[[],[],[[],[],[]],[[]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [5,2,1]
[[],[],[[],[[]]],[[]]] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,1,2,1]
[[],[],[[[]],[]],[[]]] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [3,2,2,1]
[[],[],[[[],[]]],[[]]] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [4,1,2,1]
[[],[],[[[[]]]],[[]]] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [3,1,1,2,1]
[[],[],[[],[],[],[]],[]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [6,2]
[[],[],[[],[],[[]]],[]] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [5,1,2]
[[],[],[[],[[]],[]],[]] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [4,2,2]
[[],[],[[],[[],[]]],[]] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [5,1,2]
[[],[],[[],[[[]]]],[]] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [4,1,1,2]
[[],[],[[[]],[],[]],[]] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [3,3,2]
[[],[],[[[]],[[]]],[]] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [3,2,1,2]
[[],[],[[[],[]],[]],[]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [4,2,2]
[[],[],[[[[]]],[]],[]] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [3,1,2,2]
[[],[],[[[],[],[]]],[]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [5,1,2]
[[],[],[[[],[[]]]],[]] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [4,1,1,2]
[[],[],[[[[]],[]]],[]] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [3,2,1,2]
[[],[],[[[[],[]]]],[]] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [4,1,1,2]
[[],[],[[[[[]]]]],[]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,1,2]
[[],[],[[],[],[],[],[]]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,1]
[[],[],[[],[],[],[[]]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [6,1,1]
[[],[],[[],[],[[]],[]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [5,2,1]
[[],[],[[],[],[[],[]]]] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [6,1,1]
[[],[],[[],[],[[[]]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [5,1,1,1]
[[],[],[[],[[]],[],[]]] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [4,3,1]
[[],[],[[],[[]],[[]]]] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [4,2,1,1]
[[],[],[[],[[],[]],[]]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [5,2,1]
[[],[],[[],[[[]]],[]]] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [4,1,2,1]
[[],[],[[],[[],[],[]]]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [6,1,1]
[[],[],[[],[[],[[]]]]] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [5,1,1,1]
[[],[],[[],[[[]],[]]]] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [4,2,1,1]
[[],[],[[],[[[],[]]]]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [5,1,1,1]
[[],[],[[],[[[[]]]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [4,1,1,1,1]
[[],[],[[[]],[],[],[]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [3,4,1]
[[],[],[[[]],[],[[]]]] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [3,3,1,1]
[[],[],[[[]],[[]],[]]] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [3,2,2,1]
[[],[],[[[]],[[],[]]]] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [3,3,1,1]
[[],[],[[[]],[[[]]]]] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [3,2,1,1,1]
[[],[],[[[],[]],[],[]]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [4,3,1]
[[],[],[[[[]]],[],[]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [3,1,3,1]
[[],[],[[[],[]],[[]]]] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1]
[[],[],[[[[]]],[[]]]] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [3,1,2,1,1]
[[],[],[[[],[],[]],[]]] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [5,2,1]
[[],[],[[[],[[]]],[]]] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [4,1,2,1]
[[],[],[[[[]],[]],[]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [3,2,2,1]
[[],[],[[[[],[]]],[]]] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [4,1,2,1]
[[],[],[[[[[]]]],[]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [3,1,1,2,1]
[[],[],[[[],[],[],[]]]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [6,1,1]
[[],[],[[[],[],[[]]]]] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [5,1,1,1]
[[],[],[[[],[[]],[]]]] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [4,2,1,1]
[[],[],[[[],[[],[]]]]] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [5,1,1,1]
[[],[],[[[],[[[]]]]]] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [4,1,1,1,1]
[[],[],[[[[]],[],[]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [3,3,1,1]
[[],[],[[[[]],[[]]]]] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [3,2,1,1,1]
[[],[],[[[[],[]],[]]]] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [4,2,1,1]
[[],[],[[[[[]]],[]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [3,1,2,1,1]
[[],[],[[[[],[],[]]]]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [5,1,1,1]
[[],[],[[[[],[[]]]]]] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1]
[[],[],[[[[[]],[]]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1]
[[],[],[[[[[],[]]]]]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1]
[[],[],[[[[[[]]]]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1,1]
[[],[[]],[],[],[],[],[]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,6]
[[],[[]],[],[],[],[[]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,5,1]
[[],[[]],[],[],[[]],[]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,4,2]
[[],[[]],[],[],[[],[]]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,5,1]
[[],[[]],[],[],[[[]]]] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,4,1,1]
[[],[[]],[],[[]],[],[]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,3,3]
[[],[[]],[],[[]],[[]]] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,3,2,1]
[[],[[]],[],[[],[]],[]] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,4,2]
[[],[[]],[],[[[]]],[]] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,3,1,2]
[[],[[]],[],[[],[],[]]] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,5,1]
[[],[[]],[],[[],[[]]]] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [2,4,1,1]
[[],[[]],[],[[[]],[]]] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [2,3,2,1]
[[],[[]],[],[[[],[]]]] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,4,1,1]
[[],[[]],[],[[[[]]]]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,3,1,1,1]
[[],[[]],[[]],[],[],[]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,4]
[[],[[]],[[]],[],[[]]] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,2,3,1]
[[],[[]],[[]],[[]],[]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2]
[[],[[]],[[]],[[],[]]] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [2,2,3,1]
[[],[[]],[[]],[[[]]]] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,2,2,1,1]
[[],[[]],[[],[]],[],[]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,3,3]
[[],[[]],[[[]]],[],[]] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [2,2,1,3]
[[],[[]],[[],[]],[[]]] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,3,2,1]
[[],[[]],[[[]]],[[]]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [2,2,1,2,1]
[[],[[]],[[],[],[]],[]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,4,2]
[[],[[]],[[],[[]]],[]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,3,1,2]
[[],[[]],[[[]],[]],[]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2]
[[],[[]],[[[],[]]],[]] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,3,1,2]
[[],[[]],[[[[]]]],[]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [2,2,1,1,2]
[[],[[]],[[],[],[],[]]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,5,1]
[[],[[]],[[],[],[[]]]] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [2,4,1,1]
[[],[[]],[[],[[]],[]]] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [2,3,2,1]
[[],[[]],[[],[[],[]]]] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [2,4,1,1]
[[],[[]],[[],[[[]]]]] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,3,1,1,1]
[[],[[]],[[[]],[],[]]] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [2,2,3,1]
[[],[[]],[[[]],[[]]]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [2,2,2,1,1]
[[],[[]],[[[],[]],[]]] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,3,2,1]
[[],[[]],[[[[]]],[]]] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [2,2,1,2,1]
[[],[[]],[[[],[],[]]]] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,4,1,1]
[[],[[]],[[[],[[]]]]] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,3,1,1,1]
[[],[[]],[[[[]],[]]]] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [2,2,2,1,1]
[[],[[]],[[[[],[]]]]] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1]
[[],[[]],[[[[[]]]]]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,2,1,1,1,1]
[[],[[],[]],[],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [3,5]
[[],[[[]]],[],[],[],[]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,1,5]
[[],[[],[]],[],[],[[]]] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [3,4,1]
[[],[[[]]],[],[],[[]]] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,1,4,1]
[[],[[],[]],[],[[]],[]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [3,3,2]
[[],[[[]]],[],[[]],[]] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,1,3,2]
[[],[[],[]],[],[[],[]]] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [3,4,1]
[[],[[],[]],[],[[[]]]] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [3,3,1,1]
[[],[[[]]],[],[[],[]]] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,1,4,1]
[[],[[[]]],[],[[[]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,1,3,1,1]
[[],[[],[]],[[]],[],[]] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [3,2,3]
[[],[[[]]],[[]],[],[]] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,1,2,3]
[[],[[],[]],[[]],[[]]] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1]
[[],[[[]]],[[]],[[]]] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,1,2,2,1]
[[],[[],[]],[[],[]],[]] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [3,3,2]
[[],[[],[]],[[[]]],[]] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [3,2,1,2]
[[],[[[]]],[[],[]],[]] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,1,3,2]
[[],[[[]]],[[[]]],[]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,1,2,1,2]
[[],[[],[]],[[],[],[]]] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [3,4,1]
[[],[[],[]],[[],[[]]]] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [3,3,1,1]
[[],[[],[]],[[[]],[]]] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [3,2,2,1]
[[],[[],[]],[[[],[]]]] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [3,3,1,1]
[[],[[],[]],[[[[]]]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1]
[[],[[[]]],[[],[],[]]] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,1,4,1]
[[],[[[]]],[[],[[]]]] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,1,3,1,1]
[[],[[[]]],[[[]],[]]] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,1,2,2,1]
[[],[[[]]],[[[],[]]]] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,1,3,1,1]
[[],[[[]]],[[[[]]]]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,1,2,1,1,1]
[[],[[],[],[]],[],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [4,4]
[[],[[],[[]]],[],[],[]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [3,1,4]
[[],[[[]],[]],[],[],[]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,2,4]
[[],[[[],[]]],[],[],[]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [3,1,4]
[[],[[[[]]]],[],[],[]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,1,1,4]
[[],[[],[],[]],[],[[]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [4,3,1]
[[],[[],[[]]],[],[[]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [3,1,3,1]
[[],[[[]],[]],[],[[]]] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [2,2,3,1]
[[],[[[],[]]],[],[[]]] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [3,1,3,1]
[[],[[[[]]]],[],[[]]] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,3,1]
[[],[[],[],[]],[[]],[]] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,2,2]
[[],[[],[[]]],[[]],[]] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [3,1,2,2]
[[],[[[]],[]],[[]],[]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2]
[[],[[[],[]]],[[]],[]] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [3,1,2,2]
[[],[[[[]]]],[[]],[]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,1,1,2,2]
[[],[[],[],[]],[[],[]]] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [4,3,1]
[[],[[],[],[]],[[[]]]] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [4,2,1,1]
[[],[[],[[]]],[[],[]]] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [3,1,3,1]
[[],[[],[[]]],[[[]]]] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [3,1,2,1,1]
[[],[[[]],[]],[[],[]]] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [2,2,3,1]
[[],[[[]],[]],[[[]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [2,2,2,1,1]
[[],[[[],[]]],[[],[]]] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [3,1,3,1]
[[],[[[],[]]],[[[]]]] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [3,1,2,1,1]
[[],[[[[]]]],[[],[]]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,1,1,3,1]
[[],[[[[]]]],[[[]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,1,1,2,1,1]
[[],[[],[],[],[]],[],[]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [5,3]
[[],[[],[],[[]]],[],[]] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [4,1,3]
[[],[[],[[]],[]],[],[]] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [3,2,3]
[[],[[],[[],[]]],[],[]] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [4,1,3]
[[],[[],[[[]]]],[],[]] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,1,3]
[[],[[[]],[],[]],[],[]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,3,3]
[[],[[[]],[[]]],[],[]] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [2,2,1,3]
[[],[[[],[]],[]],[],[]] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [3,2,3]
[[],[[[[]]],[]],[],[]] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,1,2,3]
[[],[[[],[],[]]],[],[]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [4,1,3]
[[],[[[],[[]]]],[],[]] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,1,3]
[[],[[[[]],[]]],[],[]] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [2,2,1,3]
[[],[[[[],[]]]],[],[]] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [3,1,1,3]
[[],[[[[[]]]]],[],[]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,1,1,1,3]
[[],[[],[],[],[]],[[]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [5,2,1]
[[],[[],[],[[]]],[[]]] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [4,1,2,1]
[[],[[],[[]],[]],[[]]] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [3,2,2,1]
[[],[[],[[],[]]],[[]]] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,2,1]
[[],[[],[[[]]]],[[]]] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [3,1,1,2,1]
[[],[[[]],[],[]],[[]]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [2,3,2,1]
[[],[[[]],[[]]],[[]]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,2,1,2,1]
[[],[[[],[]],[]],[[]]] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2,1]
[[],[[[[]]],[]],[[]]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,1,2,2,1]
[[],[[[],[],[]]],[[]]] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [4,1,2,1]
[[],[[[],[[]]]],[[]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [3,1,1,2,1]
[[],[[[[]],[]]],[[]]] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,2,1,2,1]
[[],[[[[],[]]]],[[]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [3,1,1,2,1]
[[],[[[[[]]]]],[[]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,1,2,1]
[[],[[],[],[],[],[]],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [6,2]
[[],[[],[],[],[[]]],[]] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [5,1,2]
[[],[[],[],[[]],[]],[]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [4,2,2]
[[],[[],[],[[],[]]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [5,1,2]
[[],[[],[],[[[]]]],[]] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [4,1,1,2]
[[],[[],[[]],[],[]],[]] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [3,3,2]
[[],[[],[[]],[[]]],[]] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [3,2,1,2]
[[],[[],[[],[]],[]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [4,2,2]
[[],[[],[[[]]],[]],[]] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [3,1,2,2]
[[],[[],[[],[],[]]],[]] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [5,1,2]
[[],[[],[[],[[]]]],[]] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [4,1,1,2]
[[],[[],[[[]],[]]],[]] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [3,2,1,2]
[[],[[],[[[],[]]]],[]] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [4,1,1,2]
[[],[[],[[[[]]]]],[]] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [3,1,1,1,2]
[[],[[[]],[],[],[]],[]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,4,2]
[[],[[[]],[],[[]]],[]] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [2,3,1,2]
[[],[[[]],[[]],[]],[]] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2]
[[],[[[]],[[],[]]],[]] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,3,1,2]
[[],[[[]],[[[]]]],[]] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [2,2,1,1,2]
[[],[[[],[]],[],[]],[]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,3,2]
[[],[[[[]]],[],[]],[]] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,2]
[[],[[[],[]],[[]]],[]] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,2,1,2]
[[],[[[[]]],[[]]],[]] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,1,2,1,2]
[[],[[[],[],[]],[]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [4,2,2]
[[],[[[],[[]]],[]],[]] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [3,1,2,2]
[[],[[[[]],[]],[]],[]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2]
[[],[[[[],[]]],[]],[]] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [3,1,2,2]
[[],[[[[[]]]],[]],[]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,1,1,2,2]
[[],[[[],[],[],[]]],[]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [5,1,2]
[[],[[[],[],[[]]]],[]] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [4,1,1,2]
[[],[[[],[[]],[]]],[]] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [3,2,1,2]
[[],[[[],[[],[]]]],[]] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [4,1,1,2]
[[],[[[],[[[]]]]],[]] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [3,1,1,1,2]
[[],[[[[]],[],[]]],[]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [2,3,1,2]
[[],[[[[]],[[]]]],[]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [2,2,1,1,2]
[[],[[[[],[]],[]]],[]] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [3,2,1,2]
[[],[[[[[]]],[]]],[]] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,1,2,1,2]
[[],[[[[],[],[]]]],[]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [4,1,1,2]
[[],[[[[],[[]]]]],[]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,2]
[[],[[[[[]],[]]]],[]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,2]
[[],[[[[[],[]]]]],[]] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,2]
[[],[[[[[[]]]]]],[]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,1,2]
[[],[[],[],[],[],[],[]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1]
[[],[[],[],[],[],[[]]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,1,1]
[[],[[],[],[],[[]],[]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [5,2,1]
[[],[[],[],[],[[],[]]]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [6,1,1]
[[],[[],[],[],[[[]]]]] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [5,1,1,1]
[[],[[],[],[[]],[],[]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [4,3,1]
[[],[[],[],[[]],[[]]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [4,2,1,1]
[[],[[],[],[[],[]],[]]] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [5,2,1]
[[],[[],[],[[[]]],[]]] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [4,1,2,1]
[[],[[],[],[[],[],[]]]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [6,1,1]
[[],[[],[],[[],[[]]]]] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [5,1,1,1]
[[],[[],[],[[[]],[]]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [4,2,1,1]
[[],[[],[],[[[],[]]]]] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [5,1,1,1]
[[],[[],[],[[[[]]]]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [4,1,1,1,1]
[[],[[],[[]],[],[],[]]] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [3,4,1]
[[],[[],[[]],[],[[]]]] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [3,3,1,1]
[[],[[],[[]],[[]],[]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [3,2,2,1]
[[],[[],[[]],[[],[]]]] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [3,3,1,1]
[[],[[],[[]],[[[]]]]] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [3,2,1,1,1]
[[],[[],[[],[]],[],[]]] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [4,3,1]
[[],[[],[[[]]],[],[]]] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [3,1,3,1]
[[],[[],[[],[]],[[]]]] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [4,2,1,1]
[[],[[],[[[]]],[[]]]] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [3,1,2,1,1]
[[],[[],[[],[],[]],[]]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [5,2,1]
[[],[[],[[],[[]]],[]]] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [4,1,2,1]
[[],[[],[[[]],[]],[]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [3,2,2,1]
[[],[[],[[[],[]]],[]]] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [4,1,2,1]
[[],[[],[[[[]]]],[]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [3,1,1,2,1]
[[],[[],[[],[],[],[]]]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [6,1,1]
[[],[[],[[],[],[[]]]]] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [5,1,1,1]
[[],[[],[[],[[]],[]]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [4,2,1,1]
[[],[[],[[],[[],[]]]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,1,1]
[[],[[],[[],[[[]]]]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [4,1,1,1,1]
[[],[[],[[[]],[],[]]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [3,3,1,1]
[[],[[],[[[]],[[]]]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [3,2,1,1,1]
[[],[[],[[[],[]],[]]]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,2,1,1]
[[],[[],[[[[]]],[]]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [3,1,2,1,1]
[[],[[],[[[],[],[]]]]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [5,1,1,1]
[[],[[],[[[],[[]]]]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [4,1,1,1,1]
[[],[[],[[[[]],[]]]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [3,2,1,1,1]
[[],[[],[[[[],[]]]]]] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [4,1,1,1,1]
[[],[[],[[[[[]]]]]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1,1,1]
[[],[[[]],[],[],[],[]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,5,1]
[[],[[[]],[],[],[[]]]] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,4,1,1]
[[],[[[]],[],[[]],[]]] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [2,3,2,1]
[[],[[[]],[],[[],[]]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [2,4,1,1]
[[],[[[]],[],[[[]]]]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [2,3,1,1,1]
[[],[[[]],[[]],[],[]]] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [2,2,3,1]
[[],[[[]],[[]],[[]]]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,2,2,1,1]
[[],[[[]],[[],[]],[]]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,3,2,1]
[[],[[[]],[[[]]],[]]] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [2,2,1,2,1]
[[],[[[]],[[],[],[]]]] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [2,4,1,1]
[[],[[[]],[[],[[]]]]] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,3,1,1,1]
[[],[[[]],[[[]],[]]]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,2,2,1,1]
[[],[[[]],[[[],[]]]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [2,3,1,1,1]
[[],[[[]],[[[[]]]]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,2,1,1,1,1]
[[],[[[],[]],[],[],[]]] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [3,4,1]
[[],[[[[]]],[],[],[]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,1,4,1]
[[],[[[],[]],[],[[]]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [3,3,1,1]
[[],[[[[]]],[],[[]]]] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,1,3,1,1]
[[],[[[],[]],[[]],[]]] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [3,2,2,1]
[[],[[[[]]],[[]],[]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,1,2,2,1]
[[],[[[],[]],[[],[]]]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,3,1,1]
[[],[[[],[]],[[[]]]]] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [3,2,1,1,1]
[[],[[[[]]],[[],[]]]] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,1,3,1,1]
[[],[[[[]]],[[[]]]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,1,2,1,1,1]
[[],[[[],[],[]],[],[]]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [4,3,1]
[[],[[[],[[]]],[],[]]] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [3,1,3,1]
[[],[[[[]],[]],[],[]]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,2,3,1]
[[],[[[[],[]]],[],[]]] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [3,1,3,1]
[[],[[[[[]]]],[],[]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,1,1,3,1]
[[],[[[],[],[]],[[]]]] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1]
[[],[[[],[[]]],[[]]]] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [3,1,2,1,1]
[[],[[[[]],[]],[[]]]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [2,2,2,1,1]
[[],[[[[],[]]],[[]]]] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [3,1,2,1,1]
[[],[[[[[]]]],[[]]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,1,1,2,1,1]
[[],[[[],[],[],[]],[]]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [5,2,1]
[[],[[[],[],[[]]],[]]] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [4,1,2,1]
[[],[[[],[[]],[]],[]]] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [3,2,2,1]
[[],[[[],[[],[]]],[]]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,2,1]
[[],[[[],[[[]]]],[]]] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [3,1,1,2,1]
[[],[[[[]],[],[]],[]]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,3,2,1]
[[],[[[[]],[[]]],[]]] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [2,2,1,2,1]
[[],[[[[],[]],[]],[]]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,2,1]
[[],[[[[[]]],[]],[]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,1,2,2,1]
[[],[[[[],[],[]]],[]]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [4,1,2,1]
[[],[[[[],[[]]]],[]]] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [3,1,1,2,1]
[[],[[[[[]],[]]],[]]] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [2,2,1,2,1]
[[],[[[[[],[]]]],[]]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [3,1,1,2,1]
[[],[[[[[[]]]]],[]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,1,1,1,2,1]
[[],[[[],[],[],[],[]]]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [6,1,1]
[[],[[[],[],[],[[]]]]] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [5,1,1,1]
[[],[[[],[],[[]],[]]]] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [4,2,1,1]
[[],[[[],[],[[],[]]]]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [5,1,1,1]
[[],[[[],[],[[[]]]]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [4,1,1,1,1]
[[],[[[],[[]],[],[]]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [3,3,1,1]
[[],[[[],[[]],[[]]]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [3,2,1,1,1]
[[],[[[],[[],[]],[]]]] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [4,2,1,1]
[[],[[[],[[[]]],[]]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [3,1,2,1,1]
[[],[[[],[[],[],[]]]]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [5,1,1,1]
[[],[[[],[[],[[]]]]]] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [4,1,1,1,1]
[[],[[[],[[[]],[]]]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [3,2,1,1,1]
[[],[[[],[[[],[]]]]]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [4,1,1,1,1]
[[],[[[],[[[[]]]]]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1,1,1]
[[],[[[[]],[],[],[]]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,4,1,1]
[[],[[[[]],[],[[]]]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [2,3,1,1,1]
[[],[[[[]],[[]],[]]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [2,2,2,1,1]
[[],[[[[]],[[],[]]]]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [2,3,1,1,1]
[[],[[[[]],[[[]]]]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,2,1,1,1,1]
[[],[[[[],[]],[],[]]]] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [3,3,1,1]
[[],[[[[[]]],[],[]]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,1,3,1,1]
[[],[[[[],[]],[[]]]]] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [3,2,1,1,1]
[[],[[[[[]]],[[]]]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,1,2,1,1,1]
[[],[[[[],[],[]],[]]]] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [4,2,1,1]
[[],[[[[],[[]]],[]]]] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [3,1,2,1,1]
[[],[[[[[]],[]],[]]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,2,2,1,1]
[[],[[[[[],[]]],[]]]] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [3,1,2,1,1]
[[],[[[[[[]]]],[]]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,1,1,2,1,1]
[[],[[[[],[],[],[]]]]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [5,1,1,1]
[[],[[[[],[],[[]]]]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [4,1,1,1,1]
[[],[[[[],[[]],[]]]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [3,2,1,1,1]
[[],[[[[],[[],[]]]]]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [4,1,1,1,1]
[[],[[[[],[[[]]]]]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1]
[[],[[[[[]],[],[]]]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,3,1,1,1]
[[],[[[[[]],[[]]]]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1]
[[],[[[[[],[]],[]]]]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [3,2,1,1,1]
[[],[[[[[[]]],[]]]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1]
[[],[[[[[],[],[]]]]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1]
[[],[[[[[],[[]]]]]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1]
[[],[[[[[[]],[]]]]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1]
[[],[[[[[[],[]]]]]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1]
[[],[[[[[[[]]]]]]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1]
[[[]],[],[],[],[],[],[]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,7]
[[[]],[],[],[],[],[[]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,6,1]
[[[]],[],[],[],[[]],[]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,5,2]
[[[]],[],[],[],[[],[]]] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,6,1]
[[[]],[],[],[],[[[]]]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,5,1,1]
[[[]],[],[],[[]],[],[]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,4,3]
[[[]],[],[],[[]],[[]]] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,4,2,1]
[[[]],[],[],[[],[]],[]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,5,2]
[[[]],[],[],[[[]]],[]] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,4,1,2]
[[[]],[],[],[[],[],[]]] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,6,1]
[[[]],[],[],[[],[[]]]] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,5,1,1]
[[[]],[],[],[[[]],[]]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,4,2,1]
[[[]],[],[],[[[],[]]]] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,5,1,1]
[[[]],[],[],[[[[]]]]] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,4,1,1,1]
[[[]],[],[[]],[],[],[]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,3,4]
[[[]],[],[[]],[],[[]]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,3,3,1]
[[[]],[],[[]],[[]],[]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,3,2,2]
[[[]],[],[[]],[[],[]]] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,3,3,1]
[[[]],[],[[]],[[[]]]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,3,2,1,1]
[[[]],[],[[],[]],[],[]] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,4,3]
[[[]],[],[[[]]],[],[]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,3,1,3]
[[[]],[],[[],[]],[[]]] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,4,2,1]
[[[]],[],[[[]]],[[]]] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,3,1,2,1]
[[[]],[],[[],[],[]],[]] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,5,2]
[[[]],[],[[],[[]]],[]] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,4,1,2]
[[[]],[],[[[]],[]],[]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,3,2,2]
[[[]],[],[[[],[]]],[]] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,4,1,2]
[[[]],[],[[[[]]]],[]] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,3,1,1,2]
[[[]],[],[[],[],[],[]]] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,6,1]
[[[]],[],[[],[],[[]]]] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,5,1,1]
[[[]],[],[[],[[]],[]]] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,4,2,1]
[[[]],[],[[],[[],[]]]] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,5,1,1]
[[[]],[],[[],[[[]]]]] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,4,1,1,1]
[[[]],[],[[[]],[],[]]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,3,3,1]
[[[]],[],[[[]],[[]]]] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,3,2,1,1]
[[[]],[],[[[],[]],[]]] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,4,2,1]
[[[]],[],[[[[]]],[]]] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,3,1,2,1]
[[[]],[],[[[],[],[]]]] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,5,1,1]
[[[]],[],[[[],[[]]]]] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,4,1,1,1]
[[[]],[],[[[[]],[]]]] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,3,2,1,1]
[[[]],[],[[[[],[]]]]] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,4,1,1,1]
[[[]],[],[[[[[]]]]]] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1,1]
[[[]],[[]],[],[],[],[]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,2,5]
[[[]],[[]],[],[],[[]]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,2,4,1]
[[[]],[[]],[],[[]],[]] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,2,3,2]
[[[]],[[]],[],[[],[]]] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,2,4,1]
[[[]],[[]],[],[[[]]]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,2,3,1,1]
[[[]],[[]],[[]],[],[]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,2,2,3]
[[[]],[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,2,2,2,1]
[[[]],[[]],[[],[]],[]] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,2,3,2]
[[[]],[[]],[[[]]],[]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,2,2,1,2]
[[[]],[[]],[[],[],[]]] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,2,4,1]
[[[]],[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,2,3,1,1]
[[[]],[[]],[[[]],[]]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,2,2,2,1]
[[[]],[[]],[[[],[]]]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,2,3,1,1]
[[[]],[[]],[[[[]]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,2,2,1,1,1]
[[[]],[[],[]],[],[],[]] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,3,4]
[[[]],[[[]]],[],[],[]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,2,1,4]
[[[]],[[],[]],[],[[]]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,3,3,1]
[[[]],[[[]]],[],[[]]] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,2,1,3,1]
[[[]],[[],[]],[[]],[]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,3,2,2]
[[[]],[[[]]],[[]],[]] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,2,1,2,2]
[[[]],[[],[]],[[],[]]] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,3,3,1]
[[[]],[[],[]],[[[]]]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,3,2,1,1]
[[[]],[[[]]],[[],[]]] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,2,1,3,1]
[[[]],[[[]]],[[[]]]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,2,1,2,1,1]
[[[]],[[],[],[]],[],[]] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,4,3]
[[[]],[[],[[]]],[],[]] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,3,1,3]
[[[]],[[[]],[]],[],[]] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,2,2,3]
[[[]],[[[],[]]],[],[]] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,3,1,3]
[[[]],[[[[]]]],[],[]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,1,3]
[[[]],[[],[],[]],[[]]] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,4,2,1]
[[[]],[[],[[]]],[[]]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,3,1,2,1]
[[[]],[[[]],[]],[[]]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,2,2,2,1]
[[[]],[[[],[]]],[[]]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,3,1,2,1]
[[[]],[[[[]]]],[[]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,1,2,1]
[[[]],[[],[],[],[]],[]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,5,2]
[[[]],[[],[],[[]]],[]] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,4,1,2]
[[[]],[[],[[]],[]],[]] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,3,2,2]
[[[]],[[],[[],[]]],[]] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,4,1,2]
[[[]],[[],[[[]]]],[]] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,3,1,1,2]
[[[]],[[[]],[],[]],[]] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,2,3,2]
[[[]],[[[]],[[]]],[]] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,2,2,1,2]
[[[]],[[[],[]],[]],[]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,3,2,2]
[[[]],[[[[]]],[]],[]] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,2,1,2,2]
[[[]],[[[],[],[]]],[]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,4,1,2]
[[[]],[[[],[[]]]],[]] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,3,1,1,2]
[[[]],[[[[]],[]]],[]] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,2,2,1,2]
[[[]],[[[[],[]]]],[]] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,3,1,1,2]
[[[]],[[[[[]]]]],[]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,1,2]
[[[]],[[],[],[],[],[]]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,6,1]
[[[]],[[],[],[],[[]]]] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,5,1,1]
[[[]],[[],[],[[]],[]]] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,4,2,1]
[[[]],[[],[],[[],[]]]] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,5,1,1]
[[[]],[[],[],[[[]]]]] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,4,1,1,1]
[[[]],[[],[[]],[],[]]] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,3,3,1]
[[[]],[[],[[]],[[]]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,3,2,1,1]
[[[]],[[],[[],[]],[]]] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,4,2,1]
[[[]],[[],[[[]]],[]]] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,3,1,2,1]
[[[]],[[],[[],[],[]]]] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,5,1,1]
[[[]],[[],[[],[[]]]]] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,4,1,1,1]
[[[]],[[],[[[]],[]]]] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,3,2,1,1]
[[[]],[[],[[[],[]]]]] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,4,1,1,1]
[[[]],[[],[[[[]]]]]] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,3,1,1,1,1]
[[[]],[[[]],[],[],[]]] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,2,4,1]
[[[]],[[[]],[],[[]]]] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,2,3,1,1]
[[[]],[[[]],[[]],[]]] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,2,2,2,1]
[[[]],[[[]],[[],[]]]] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,2,3,1,1]
[[[]],[[[]],[[[]]]]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,2,2,1,1,1]
[[[]],[[[],[]],[],[]]] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,3,3,1]
[[[]],[[[[]]],[],[]]] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,2,1,3,1]
[[[]],[[[],[]],[[]]]] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,3,2,1,1]
[[[]],[[[[]]],[[]]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,2,1,2,1,1]
[[[]],[[[],[],[]],[]]] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,4,2,1]
[[[]],[[[],[[]]],[]]] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,3,1,2,1]
[[[]],[[[[]],[]],[]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,2,2,2,1]
[[[]],[[[[],[]]],[]]] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,3,1,2,1]
[[[]],[[[[[]]]],[]]] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,2,1,1,2,1]
[[[]],[[[],[],[],[]]]] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,5,1,1]
[[[]],[[[],[],[[]]]]] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,4,1,1,1]
[[[]],[[[],[[]],[]]]] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,3,2,1,1]
[[[]],[[[],[[],[]]]]] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,4,1,1,1]
[[[]],[[[],[[[]]]]]] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,3,1,1,1,1]
[[[]],[[[[]],[],[]]]] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,2,3,1,1]
[[[]],[[[[]],[[]]]]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,2,2,1,1,1]
[[[]],[[[[],[]],[]]]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,3,2,1,1]
[[[]],[[[[[]]],[]]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,2,1,2,1,1]
[[[]],[[[[],[],[]]]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,4,1,1,1]
[[[]],[[[[],[[]]]]]] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1]
[[[]],[[[[[]],[]]]]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,2,2,1,1,1]
[[[]],[[[[[],[]]]]]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1]
[[[]],[[[[[[]]]]]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1]
[[[],[]],[],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,6]
[[[[]]],[],[],[],[],[]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,6]
[[[],[]],[],[],[],[[]]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,5,1]
[[[[]]],[],[],[],[[]]] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,5,1]
[[[],[]],[],[],[[]],[]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,4,2]
[[[[]]],[],[],[[]],[]] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,4,2]
[[[],[]],[],[],[[],[]]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,5,1]
[[[],[]],[],[],[[[]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,4,1,1]
[[[[]]],[],[],[[],[]]] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,5,1]
[[[[]]],[],[],[[[]]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,4,1,1]
[[[],[]],[],[[]],[],[]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,3]
[[[[]]],[],[[]],[],[]] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,3,3]
[[[],[]],[],[[]],[[]]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,3,2,1]
[[[[]]],[],[[]],[[]]] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,3,2,1]
[[[],[]],[],[[],[]],[]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,4,2]
[[[],[]],[],[[[]]],[]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,3,1,2]
[[[[]]],[],[[],[]],[]] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,4,2]
[[[[]]],[],[[[]]],[]] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,3,1,2]
[[[],[]],[],[[],[],[]]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,5,1]
[[[],[]],[],[[],[[]]]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,4,1,1]
[[[],[]],[],[[[]],[]]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,3,2,1]
[[[],[]],[],[[[],[]]]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,4,1,1]
[[[],[]],[],[[[[]]]]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1]
[[[[]]],[],[[],[],[]]] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,5,1]
[[[[]]],[],[[],[[]]]] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,4,1,1]
[[[[]]],[],[[[]],[]]] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,3,2,1]
[[[[]]],[],[[[],[]]]] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,4,1,1]
[[[[]]],[],[[[[]]]]] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,3,1,1,1]
[[[],[]],[[]],[],[],[]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,2,4]
[[[[]]],[[]],[],[],[]] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,2,4]
[[[],[]],[[]],[],[[]]] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,2,3,1]
[[[[]]],[[]],[],[[]]] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,2,3,1]
[[[],[]],[[]],[[]],[]] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2]
[[[[]]],[[]],[[]],[]] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,2,2,2]
[[[],[]],[[]],[[],[]]] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,2,3,1]
[[[],[]],[[]],[[[]]]] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,2,1,1]
[[[[]]],[[]],[[],[]]] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,2,3,1]
[[[[]]],[[]],[[[]]]] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,2,2,1,1]
[[[],[]],[[],[]],[],[]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,3,3]
[[[],[]],[[[]]],[],[]] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,1,3]
[[[[]]],[[],[]],[],[]] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,3,3]
[[[[]]],[[[]]],[],[]] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,2,1,3]
[[[],[]],[[],[]],[[]]] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,3,2,1]
[[[],[]],[[[]]],[[]]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,2,1,2,1]
[[[[]]],[[],[]],[[]]] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,3,2,1]
[[[[]]],[[[]]],[[]]] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,2,1,2,1]
[[[],[]],[[],[],[]],[]] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,4,2]
[[[],[]],[[],[[]]],[]] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,3,1,2]
[[[],[]],[[[]],[]],[]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2]
[[[],[]],[[[],[]]],[]] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,3,1,2]
[[[],[]],[[[[]]]],[]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,2]
[[[[]]],[[],[],[]],[]] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,4,2]
[[[[]]],[[],[[]]],[]] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,3,1,2]
[[[[]]],[[[]],[]],[]] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,2,2,2]
[[[[]]],[[[],[]]],[]] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,3,1,2]
[[[[]]],[[[[]]]],[]] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,2,1,1,2]
[[[],[]],[[],[],[],[]]] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,5,1]
[[[],[]],[[],[],[[]]]] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,4,1,1]
[[[],[]],[[],[[]],[]]] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,3,2,1]
[[[],[]],[[],[[],[]]]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,4,1,1]
[[[],[]],[[],[[[]]]]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,3,1,1,1]
[[[],[]],[[[]],[],[]]] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,2,3,1]
[[[],[]],[[[]],[[]]]] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,2,1,1]
[[[],[]],[[[],[]],[]]] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,3,2,1]
[[[],[]],[[[[]]],[]]] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,2,1,2,1]
[[[],[]],[[[],[],[]]]] => [[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,4,1,1]
[[[],[]],[[[],[[]]]]] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,3,1,1,1]
[[[],[]],[[[[]],[]]]] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,2,1,1]
[[[],[]],[[[[],[]]]]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,1,1]
[[[],[]],[[[[[]]]]]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1]
[[[[]]],[[],[],[],[]]] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,5,1]
[[[[]]],[[],[],[[]]]] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,4,1,1]
[[[[]]],[[],[[]],[]]] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,3,2,1]
[[[[]]],[[],[[],[]]]] => [[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,4,1,1]
[[[[]]],[[],[[[]]]]] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,3,1,1,1]
[[[[]]],[[[]],[],[]]] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,2,3,1]
[[[[]]],[[[]],[[]]]] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,2,2,1,1]
[[[[]]],[[[],[]],[]]] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,3,2,1]
[[[[]]],[[[[]]],[]]] => [[[.,.],.],[[[[.,.],.],[.,.]],.]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,2,1,2,1]
[[[[]]],[[[],[],[]]]] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,4,1,1]
[[[[]]],[[[],[[]]]]] => [[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,3,1,1,1]
[[[[]]],[[[[]],[]]]] => [[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,2,2,1,1]
[[[[]]],[[[[],[]]]]] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,3,1,1,1]
[[[[]]],[[[[[]]]]]] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1]
[[[],[],[]],[],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5]
[[[],[[]]],[],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5]
[[[[]],[]],[],[],[],[]] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,5]
[[[[],[]]],[],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5]
[[[[[]]]],[],[],[],[]] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,5]
[[[],[],[]],[],[],[[]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [3,4,1]
[[[],[[]]],[],[],[[]]] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,1]
[[[[]],[]],[],[],[[]]] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,2,4,1]
[[[[],[]]],[],[],[[]]] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,1]
[[[[[]]]],[],[],[[]]] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,4,1]
[[[],[],[]],[],[[]],[]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [3,3,2]
[[[],[[]]],[],[[]],[]] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,1,3,2]
[[[[]],[]],[],[[]],[]] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,2,3,2]
[[[[],[]]],[],[[]],[]] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,1,3,2]
[[[[[]]]],[],[[]],[]] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,3,2]
[[[],[],[]],[],[[],[]]] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [3,4,1]
[[[],[],[]],[],[[[]]]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [3,3,1,1]
[[[],[[]]],[],[[],[]]] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,4,1]
[[[],[[]]],[],[[[]]]] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,3,1,1]
[[[[]],[]],[],[[],[]]] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,2,4,1]
[[[[]],[]],[],[[[]]]] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,2,3,1,1]
[[[[],[]]],[],[[],[]]] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,4,1]
[[[[],[]]],[],[[[]]]] => [[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,1,3,1,1]
[[[[[]]]],[],[[],[]]] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,4,1]
[[[[[]]]],[],[[[]]]] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,3,1,1]
[[[],[],[]],[[]],[],[]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,2,3]
[[[],[[]]],[[]],[],[]] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,2,3]
[[[[]],[]],[[]],[],[]] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,2,2,3]
[[[[],[]]],[[]],[],[]] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,2,3]
[[[[[]]]],[[]],[],[]] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,2,3]
[[[],[],[]],[[]],[[]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1]
[[[],[[]]],[[]],[[]]] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,2,2,1]
[[[[]],[]],[[]],[[]]] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,2,1]
[[[[],[]]],[[]],[[]]] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,1,2,2,1]
[[[[[]]]],[[]],[[]]] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,2,2,1]
[[[],[],[]],[[],[]],[]] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,3,2]
[[[],[],[]],[[[]]],[]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [3,2,1,2]
[[[],[[]]],[[],[]],[]] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,1,3,2]
[[[],[[]]],[[[]]],[]] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,1,2,1,2]
[[[[]],[]],[[],[]],[]] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,2,3,2]
[[[[]],[]],[[[]]],[]] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,2,2,1,2]
[[[[],[]]],[[],[]],[]] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,3,2]
[[[[],[]]],[[[]]],[]] => [[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,1,2,1,2]
[[[[[]]]],[[],[]],[]] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,3,2]
[[[[[]]]],[[[]]],[]] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,2,1,2]
[[[],[],[]],[[],[],[]]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [3,4,1]
[[[],[],[]],[[],[[]]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,3,1,1]
[[[],[],[]],[[[]],[]]] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [3,2,2,1]
[[[],[],[]],[[[],[]]]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [3,3,1,1]
[[[],[],[]],[[[[]]]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1]
[[[],[[]]],[[],[],[]]] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,4,1]
[[[],[[]]],[[],[[]]]] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,3,1,1]
[[[],[[]]],[[[]],[]]] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,2,2,1]
[[[],[[]]],[[[],[]]]] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,3,1,1]
[[[],[[]]],[[[[]]]]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1]
[[[[]],[]],[[],[],[]]] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,2,4,1]
[[[[]],[]],[[],[[]]]] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,3,1,1]
[[[[]],[]],[[[]],[]]] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,2,1]
[[[[]],[]],[[[],[]]]] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,2,3,1,1]
[[[[]],[]],[[[[]]]]] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,2,2,1,1,1]
[[[[],[]]],[[],[],[]]] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,4,1]
[[[[],[]]],[[],[[]]]] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,1,3,1,1]
[[[[],[]]],[[[]],[]]] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,1,2,2,1]
[[[[],[]]],[[[],[]]]] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,3,1,1]
[[[[],[]]],[[[[]]]]] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1]
[[[[[]]]],[[],[],[]]] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,4,1]
[[[[[]]]],[[],[[]]]] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,3,1,1]
[[[[[]]]],[[[]],[]]] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,2,2,1]
[[[[[]]]],[[[],[]]]] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,3,1,1]
[[[[[]]]],[[[[]]]]] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1]
[[[],[],[],[]],[],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,4]
[[[],[],[[]]],[],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [3,1,4]
[[[],[[]],[]],[],[],[]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,2,4]
[[[],[[],[]]],[],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4]
[[[],[[[]]]],[],[],[]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,1,4]
[[[[]],[],[]],[],[],[]] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,3,4]
[[[[]],[[]]],[],[],[]] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,2,1,4]
[[[[],[]],[]],[],[],[]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,4]
[[[[[]]],[]],[],[],[]] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,2,4]
[[[[],[],[]]],[],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4]
[[[[],[[]]]],[],[],[]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4]
[[[[[]],[]]],[],[],[]] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,2,1,4]
[[[[[],[]]]],[],[],[]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4]
[[[[[[]]]]],[],[],[]] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,4]
[[[],[],[],[]],[],[[]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,3,1]
[[[],[],[[]]],[],[[]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,1,3,1]
[[[],[[]],[]],[],[[]]] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [2,2,3,1]
[[[],[[],[]]],[],[[]]] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [3,1,3,1]
[[[],[[[]]]],[],[[]]] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,1,1,3,1]
[[[[]],[],[]],[],[[]]] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,3,3,1]
[[[[]],[[]]],[],[[]]] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,2,1,3,1]
[[[[],[]],[]],[],[[]]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,2,3,1]
[[[[[]]],[]],[],[[]]] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,2,3,1]
[[[[],[],[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,3,1]
[[[[],[[]]]],[],[[]]] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,3,1]
[[[[[]],[]]],[],[[]]] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,2,1,3,1]
[[[[[],[]]]],[],[[]]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,3,1]
[[[[[[]]]]],[],[[]]] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,3,1]
[[[],[],[],[]],[[]],[]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [4,2,2]
[[[],[],[[]]],[[]],[]] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [3,1,2,2]
[[[],[[]],[]],[[]],[]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2]
[[[],[[],[]]],[[]],[]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,2,2]
[[[],[[[]]]],[[]],[]] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,1,1,2,2]
[[[[]],[],[]],[[]],[]] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,3,2,2]
[[[[]],[[]]],[[]],[]] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,2,1,2,2]
[[[[],[]],[]],[[]],[]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2]
[[[[[]]],[]],[[]],[]] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,2,2,2]
[[[[],[],[]]],[[]],[]] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [3,1,2,2]
[[[[],[[]]]],[[]],[]] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,1,2,2]
[[[[[]],[]]],[[]],[]] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,2,2]
[[[[[],[]]]],[[]],[]] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,1,1,2,2]
[[[[[[]]]]],[[]],[]] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,2,2]
[[[],[],[],[]],[[],[]]] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [4,3,1]
[[[],[],[],[]],[[[]]]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [4,2,1,1]
[[[],[],[[]]],[[],[]]] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [3,1,3,1]
[[[],[],[[]]],[[[]]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [3,1,2,1,1]
[[[],[[]],[]],[[],[]]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,2,3,1]
[[[],[[]],[]],[[[]]]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,2,2,1,1]
[[[],[[],[]]],[[],[]]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,3,1]
[[[],[[],[]]],[[[]]]] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [3,1,2,1,1]
[[[],[[[]]]],[[],[]]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,1,3,1]
[[[],[[[]]]],[[[]]]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,1,1,2,1,1]
[[[[]],[],[]],[[],[]]] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,3,3,1]
[[[[]],[],[]],[[[]]]] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,3,2,1,1]
[[[[]],[[]]],[[],[]]] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,2,1,3,1]
[[[[]],[[]]],[[[]]]] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,2,1,2,1,1]
[[[[],[]],[]],[[],[]]] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,3,1]
[[[[],[]],[]],[[[]]]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,2,1,1]
[[[[[]]],[]],[[],[]]] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,3,1]
[[[[[]]],[]],[[[]]]] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,2,2,1,1]
[[[[],[],[]]],[[],[]]] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [3,1,3,1]
[[[[],[],[]]],[[[]]]] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [3,1,2,1,1]
[[[[],[[]]]],[[],[]]] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,3,1]
[[[[],[[]]]],[[[]]]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,2,1,1]
[[[[[]],[]]],[[],[]]] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,2,1,3,1]
[[[[[]],[]]],[[[]]]] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,2,1,2,1,1]
[[[[[],[]]]],[[],[]]] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,3,1]
[[[[[],[]]]],[[[]]]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,2,1,1]
[[[[[[]]]]],[[],[]]] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,3,1]
[[[[[[]]]]],[[[]]]] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1]
[[[],[],[],[],[]],[],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,3]
[[[],[],[],[[]]],[],[]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [4,1,3]
[[[],[],[[]],[]],[],[]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [3,2,3]
[[[],[],[[],[]]],[],[]] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [4,1,3]
[[[],[],[[[]]]],[],[]] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [3,1,1,3]
[[[],[[]],[],[]],[],[]] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,3,3]
[[[],[[]],[[]]],[],[]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [2,2,1,3]
[[[],[[],[]],[]],[],[]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,3]
[[[],[[[]]],[]],[],[]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,1,2,3]
[[[],[[],[],[]]],[],[]] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [4,1,3]
[[[],[[],[[]]]],[],[]] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [3,1,1,3]
[[[],[[[]],[]]],[],[]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,2,1,3]
[[[],[[[],[]]]],[],[]] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [3,1,1,3]
[[[],[[[[]]]]],[],[]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,1,1,1,3]
[[[[]],[],[],[]],[],[]] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,4,3]
[[[[]],[],[[]]],[],[]] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,3,1,3]
[[[[]],[[]],[]],[],[]] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,2,2,3]
[[[[]],[[],[]]],[],[]] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,3,1,3]
[[[[]],[[[]]]],[],[]] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,2,1,1,3]
[[[[],[]],[],[]],[],[]] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,3,3]
[[[[[]]],[],[]],[],[]] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,3,3]
[[[[],[]],[[]]],[],[]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,2,1,3]
[[[[[]]],[[]]],[],[]] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,2,1,3]
[[[[],[],[]],[]],[],[]] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,3]
[[[[],[[]]],[]],[],[]] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,2,3]
[[[[[]],[]],[]],[],[]] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,2,3]
[[[[[],[]]],[]],[],[]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,2,3]
[[[[[[]]]],[]],[],[]] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,2,3]
[[[[],[],[],[]]],[],[]] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3]
[[[[],[],[[]]]],[],[]] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,1,3]
[[[[],[[]],[]]],[],[]] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [2,2,1,3]
[[[[],[[],[]]]],[],[]] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [3,1,1,3]
[[[[],[[[]]]]],[],[]] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3]
[[[[[]],[],[]]],[],[]] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,3,1,3]
[[[[[]],[[]]]],[],[]] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,1,3]
[[[[[],[]],[]]],[],[]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,2,1,3]
[[[[[[]]],[]]],[],[]] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,2,1,3]
[[[[[],[],[]]]],[],[]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,3]
[[[[[],[[]]]]],[],[]] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3]
[[[[[[]],[]]]],[],[]] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,3]
[[[[[[],[]]]]],[],[]] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3]
[[[[[[[]]]]]],[],[]] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,3]
[[[],[],[],[],[]],[[]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [5,2,1]
[[[],[],[],[[]]],[[]]] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [4,1,2,1]
[[[],[],[[]],[]],[[]]] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [3,2,2,1]
[[[],[],[[],[]]],[[]]] => [[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [4,1,2,1]
[[[],[],[[[]]]],[[]]] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,1,2,1]
[[[],[[]],[],[]],[[]]] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,3,2,1]
[[[],[[]],[[]]],[[]]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,2,1,2,1]
[[[],[[],[]],[]],[[]]] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [3,2,2,1]
[[[],[[[]]],[]],[[]]] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,1,2,2,1]
[[[],[[],[],[]]],[[]]] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [4,1,2,1]
[[[],[[],[[]]]],[[]]] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,1,2,1]
[[[],[[[]],[]]],[[]]] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,2,1,2,1]
[[[],[[[],[]]]],[[]]] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [3,1,1,2,1]
[[[],[[[[]]]]],[[]]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,1,1,1,2,1]
[[[[]],[],[],[]],[[]]] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,4,2,1]
[[[[]],[],[[]]],[[]]] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,3,1,2,1]
[[[[]],[[]],[]],[[]]] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,2,2,2,1]
[[[[]],[[],[]]],[[]]] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,3,1,2,1]
[[[[]],[[[]]]],[[]]] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,2,1,1,2,1]
[[[[],[]],[],[]],[[]]] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,3,2,1]
[[[[[]]],[],[]],[[]]] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,3,2,1]
[[[[],[]],[[]]],[[]]] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,2,1,2,1]
[[[[[]]],[[]]],[[]]] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,2,1,2,1]
[[[[],[],[]],[]],[[]]] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,2,1]
[[[[],[[]]],[]],[[]]] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,2,1]
[[[[[]],[]],[]],[[]]] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,2,1]
[[[[[],[]]],[]],[[]]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,2,1]
[[[[[[]]]],[]],[[]]] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,2,2,1]
[[[[],[],[],[]]],[[]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [4,1,2,1]
[[[[],[],[[]]]],[[]]] => [[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,1,2,1]
[[[[],[[]],[]]],[[]]] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [2,2,1,2,1]
[[[[],[[],[]]]],[[]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [3,1,1,2,1]
[[[[],[[[]]]]],[[]]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1]
[[[[[]],[],[]]],[[]]] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,3,1,2,1]
[[[[[]],[[]]]],[[]]] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,1,2,1]
[[[[[],[]],[]]],[[]]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,2,1,2,1]
[[[[[[]]],[]]],[[]]] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,2,1,2,1]
[[[[[],[],[]]]],[[]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,2,1]
[[[[[],[[]]]]],[[]]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1]
[[[[[[]],[]]]],[[]]] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,2,1]
[[[[[[],[]]]]],[[]]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1]
[[[[[[[]]]]]],[[]]] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,2,1]
[[[],[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,2]
[[[],[],[],[],[[]]],[]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [5,1,2]
[[[],[],[],[[]],[]],[]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [4,2,2]
[[[],[],[],[[],[]]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [5,1,2]
[[[],[],[],[[[]]]],[]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,1,1,2]
[[[],[],[[]],[],[]],[]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [3,3,2]
[[[],[],[[]],[[]]],[]] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [3,2,1,2]
[[[],[],[[],[]],[]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [4,2,2]
[[[],[],[[[]]],[]],[]] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [3,1,2,2]
[[[],[],[[],[],[]]],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [5,1,2]
[[[],[],[[],[[]]]],[]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [4,1,1,2]
[[[],[],[[[]],[]]],[]] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,2,1,2]
[[[],[],[[[],[]]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [4,1,1,2]
[[[],[],[[[[]]]]],[]] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,1,2]
[[[],[[]],[],[],[]],[]] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,4,2]
[[[],[[]],[],[[]]],[]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,3,1,2]
[[[],[[]],[[]],[]],[]] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2]
[[[],[[]],[[],[]]],[]] => [[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [2,3,1,2]
[[[],[[]],[[[]]]],[]] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [2,2,1,1,2]
[[[],[[],[]],[],[]],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [3,3,2]
[[[],[[[]]],[],[]],[]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,2]
[[[],[[],[]],[[]]],[]] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [3,2,1,2]
[[[],[[[]]],[[]]],[]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,1,2,1,2]
[[[],[[],[],[]],[]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [4,2,2]
[[[],[[],[[]]],[]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [3,1,2,2]
[[[],[[[]],[]],[]],[]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2]
[[[],[[[],[]]],[]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [3,1,2,2]
[[[],[[[[]]]],[]],[]] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,1,1,2,2]
[[[],[[],[],[],[]]],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [5,1,2]
[[[],[[],[],[[]]]],[]] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [4,1,1,2]
[[[],[[],[[]],[]]],[]] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [3,2,1,2]
[[[],[[],[[],[]]]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,1,2]
[[[],[[],[[[]]]]],[]] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [3,1,1,1,2]
[[[],[[[]],[],[]]],[]] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,3,1,2]
[[[],[[[]],[[]]]],[]] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [2,2,1,1,2]
[[[],[[[],[]],[]]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,1,2]
[[[],[[[[]]],[]]],[]] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,1,2,1,2]
[[[],[[[],[],[]]]],[]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [4,1,1,2]
[[[],[[[],[[]]]]],[]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [3,1,1,1,2]
[[[],[[[[]],[]]]],[]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [2,2,1,1,2]
[[[],[[[[],[]]]]],[]] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [3,1,1,1,2]
[[[],[[[[[]]]]]],[]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,1,2]
[[[[]],[],[],[],[]],[]] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,5,2]
[[[[]],[],[],[[]]],[]] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,4,1,2]
[[[[]],[],[[]],[]],[]] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,3,2,2]
[[[[]],[],[[],[]]],[]] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,4,1,2]
[[[[]],[],[[[]]]],[]] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,3,1,1,2]
[[[[]],[[]],[],[]],[]] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,2]
[[[[]],[[]],[[]]],[]] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,2,2,1,2]
[[[[]],[[],[]],[]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,3,2,2]
[[[[]],[[[]]],[]],[]] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,2,1,2,2]
[[[[]],[[],[],[]]],[]] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,4,1,2]
[[[[]],[[],[[]]]],[]] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,3,1,1,2]
[[[[]],[[[]],[]]],[]] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,2,2,1,2]
[[[[]],[[[],[]]]],[]] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,3,1,1,2]
[[[[]],[[[[]]]]],[]] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,1,2]
[[[[],[]],[],[],[]],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,2]
[[[[[]]],[],[],[]],[]] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,4,2]
[[[[],[]],[],[[]]],[]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,3,1,2]
[[[[[]]],[],[[]]],[]] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,3,1,2]
[[[[],[]],[[]],[]],[]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2]
[[[[[]]],[[]],[]],[]] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,2,2,2]
[[[[],[]],[[],[]]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,3,1,2]
[[[[],[]],[[[]]]],[]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,2,1,1,2]
[[[[[]]],[[],[]]],[]] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,3,1,2]
[[[[[]]],[[[]]]],[]] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,2,1,1,2]
[[[[],[],[]],[],[]],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [3,3,2]
[[[[],[[]]],[],[]],[]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2]
[[[[[]],[]],[],[]],[]] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,2,3,2]
[[[[[],[]]],[],[]],[]] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2]
[[[[[[]]]],[],[]],[]] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,3,2]
[[[[],[],[]],[[]]],[]] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [3,2,1,2]
[[[[],[[]]],[[]]],[]] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,1,2,1,2]
[[[[[]],[]],[[]]],[]] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,2,2,1,2]
[[[[[],[]]],[[]]],[]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,1,2,1,2]
[[[[[[]]]],[[]]],[]] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,2,1,2]
[[[[],[],[],[]],[]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2]
[[[[],[],[[]]],[]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,1,2,2]
[[[[],[[]],[]],[]],[]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2]
[[[[],[[],[]]],[]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,2,2]
[[[[],[[[]]]],[]],[]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2]
[[[[[]],[],[]],[]],[]] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2]
[[[[[]],[[]]],[]],[]] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2]
[[[[[],[]],[]],[]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2]
[[[[[[]]],[]],[]],[]] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,2,2,2]
[[[[[],[],[]]],[]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [3,1,2,2]
[[[[[],[[]]]],[]],[]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2]
[[[[[[]],[]]],[]],[]] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2]
[[[[[[],[]]]],[]],[]] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2]
[[[[[[[]]]]],[]],[]] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,2,2]
[[[[],[],[],[],[]]],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2]
[[[[],[],[],[[]]]],[]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [4,1,1,2]
[[[[],[],[[]],[]]],[]] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [3,2,1,2]
[[[[],[],[[],[]]]],[]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [4,1,1,2]
[[[[],[],[[[]]]]],[]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [3,1,1,1,2]
[[[[],[[]],[],[]]],[]] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,3,1,2]
[[[[],[[]],[[]]]],[]] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [2,2,1,1,2]
[[[[],[[],[]],[]]],[]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,2]
[[[[],[[[]]],[]]],[]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,1,2,1,2]
[[[[],[[],[],[]]]],[]] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [4,1,1,2]
[[[[],[[],[[]]]]],[]] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [3,1,1,1,2]
[[[[],[[[]],[]]]],[]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [2,2,1,1,2]
[[[[],[[[],[]]]]],[]] => [[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [3,1,1,1,2]
[[[[],[[[[]]]]]],[]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,1,1,2]
[[[[[]],[],[],[]]],[]] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,4,1,2]
[[[[[]],[],[[]]]],[]] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,3,1,1,2]
[[[[[]],[[]],[]]],[]] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,2,2,1,2]
[[[[[]],[[],[]]]],[]] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,3,1,1,2]
[[[[[]],[[[]]]]],[]] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,2,1,1,1,2]
[[[[[],[]],[],[]]],[]] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,3,1,2]
[[[[[[]]],[],[]]],[]] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,3,1,2]
[[[[[],[]],[[]]]],[]] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,2,1,1,2]
[[[[[[]]],[[]]]],[]] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,2,1,1,2]
[[[[[],[],[]],[]]],[]] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [3,2,1,2]
[[[[[],[[]]],[]]],[]] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,1,2,1,2]
[[[[[[]],[]],[]]],[]] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,2,2,1,2]
[[[[[[],[]]],[]]],[]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,2,1,2]
[[[[[[[]]]],[]]],[]] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,2,1,2]
[[[[[],[],[],[]]]],[]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2]
[[[[[],[],[[]]]]],[]] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2]
[[[[[],[[]],[]]]],[]] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [2,2,1,1,2]
[[[[[],[[],[]]]]],[]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2]
[[[[[],[[[]]]]]],[]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2]
[[[[[[]],[],[]]]],[]] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,3,1,1,2]
[[[[[[]],[[]]]]],[]] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2]
[[[[[[],[]],[]]]],[]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,2,1,1,2]
[[[[[[[]]],[]]]],[]] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,2]
[[[[[[],[],[]]]]],[]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2]
[[[[[[],[[]]]]]],[]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2]
[[[[[[[]],[]]]]],[]] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2]
[[[[[[[],[]]]]]],[]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2]
[[[[[[[[]]]]]]],[]] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,2]
[[[],[],[],[],[],[],[]]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1]
[[[],[],[],[],[],[[]]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,1,1]
[[[],[],[],[],[[]],[]]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,2,1]
[[[],[],[],[],[[],[]]]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,1]
[[[],[],[],[],[[[]]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,1,1,1]
[[[],[],[],[[]],[],[]]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,3,1]
[[[],[],[],[[]],[[]]]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [4,2,1,1]
[[[],[],[],[[],[]],[]]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [5,2,1]
[[[],[],[],[[[]]],[]]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [4,1,2,1]
[[[],[],[],[[],[],[]]]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,1]
[[[],[],[],[[],[[]]]]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [5,1,1,1]
[[[],[],[],[[[]],[]]]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [4,2,1,1]
[[[],[],[],[[[],[]]]]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [5,1,1,1]
[[[],[],[],[[[[]]]]]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [4,1,1,1,1]
[[[],[],[[]],[],[],[]]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [3,4,1]
[[[],[],[[]],[],[[]]]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [3,3,1,1]
[[[],[],[[]],[[]],[]]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [3,2,2,1]
[[[],[],[[]],[[],[]]]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [3,3,1,1]
[[[],[],[[]],[[[]]]]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [3,2,1,1,1]
[[[],[],[[],[]],[],[]]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [4,3,1]
[[[],[],[[[]]],[],[]]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [3,1,3,1]
[[[],[],[[],[]],[[]]]] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [4,2,1,1]
[[[],[],[[[]]],[[]]]] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [3,1,2,1,1]
[[[],[],[[],[],[]],[]]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [5,2,1]
[[[],[],[[],[[]]],[]]] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [4,1,2,1]
[[[],[],[[[]],[]],[]]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [3,2,2,1]
[[[],[],[[[],[]]],[]]] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [4,1,2,1]
[[[],[],[[[[]]]],[]]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,1,2,1]
[[[],[],[[],[],[],[]]]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [6,1,1]
[[[],[],[[],[],[[]]]]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [5,1,1,1]
[[[],[],[[],[[]],[]]]] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [4,2,1,1]
[[[],[],[[],[[],[]]]]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [5,1,1,1]
[[[],[],[[],[[[]]]]]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [4,1,1,1,1]
[[[],[],[[[]],[],[]]]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [3,3,1,1]
[[[],[],[[[]],[[]]]]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [3,2,1,1,1]
[[[],[],[[[],[]],[]]]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [4,2,1,1]
[[[],[],[[[[]]],[]]]] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [3,1,2,1,1]
[[[],[],[[[],[],[]]]]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [5,1,1,1]
[[[],[],[[[],[[]]]]]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [4,1,1,1,1]
[[[],[],[[[[]],[]]]]] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [3,2,1,1,1]
[[[],[],[[[[],[]]]]]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [4,1,1,1,1]
[[[],[],[[[[[]]]]]]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1,1]
[[[],[[]],[],[],[],[]]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,5,1]
[[[],[[]],[],[],[[]]]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,4,1,1]
[[[],[[]],[],[[]],[]]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [2,3,2,1]
[[[],[[]],[],[[],[]]]] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [2,4,1,1]
[[[],[[]],[],[[[]]]]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [2,3,1,1,1]
[[[],[[]],[[]],[],[]]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [2,2,3,1]
[[[],[[]],[[]],[[]]]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [2,2,2,1,1]
[[[],[[]],[[],[]],[]]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,3,2,1]
[[[],[[]],[[[]]],[]]] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [2,2,1,2,1]
[[[],[[]],[[],[],[]]]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [2,4,1,1]
[[[],[[]],[[],[[]]]]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [2,3,1,1,1]
[[[],[[]],[[[]],[]]]] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [2,2,2,1,1]
[[[],[[]],[[[],[]]]]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [2,3,1,1,1]
[[[],[[]],[[[[]]]]]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [2,2,1,1,1,1]
[[[],[[],[]],[],[],[]]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,4,1]
[[[],[[[]]],[],[],[]]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,1,4,1]
[[[],[[],[]],[],[[]]]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [3,3,1,1]
[[[],[[[]]],[],[[]]]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,1,3,1,1]
[[[],[[],[]],[[]],[]]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [3,2,2,1]
[[[],[[[]]],[[]],[]]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,1,2,2,1]
[[[],[[],[]],[[],[]]]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [3,3,1,1]
[[[],[[],[]],[[[]]]]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [3,2,1,1,1]
[[[],[[[]]],[[],[]]]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,1,3,1,1]
[[[],[[[]]],[[[]]]]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,1,2,1,1,1]
[[[],[[],[],[]],[],[]]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [4,3,1]
[[[],[[],[[]]],[],[]]] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [3,1,3,1]
[[[],[[[]],[]],[],[]]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [2,2,3,1]
[[[],[[[],[]]],[],[]]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [3,1,3,1]
[[[],[[[[]]]],[],[]]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,1,3,1]
[[[],[[],[],[]],[[]]]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [4,2,1,1]
[[[],[[],[[]]],[[]]]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [3,1,2,1,1]
[[[],[[[]],[]],[[]]]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,2,2,1,1]
[[[],[[[],[]]],[[]]]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,1,1]
[[[],[[[[]]]],[[]]]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,1,2,1,1]
[[[],[[],[],[],[]],[]]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,2,1]
[[[],[[],[],[[]]],[]]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [4,1,2,1]
[[[],[[],[[]],[]],[]]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [3,2,2,1]
[[[],[[],[[],[]]],[]]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [4,1,2,1]
[[[],[[],[[[]]]],[]]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,1,2,1]
[[[],[[[]],[],[]],[]]] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,3,2,1]
[[[],[[[]],[[]]],[]]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [2,2,1,2,1]
[[[],[[[],[]],[]],[]]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,2,1]
[[[],[[[[]]],[]],[]]] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,1,2,2,1]
[[[],[[[],[],[]]],[]]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [4,1,2,1]
[[[],[[[],[[]]]],[]]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,1,2,1]
[[[],[[[[]],[]]],[]]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,2,1,2,1]
[[[],[[[[],[]]]],[]]] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [3,1,1,2,1]
[[[],[[[[[]]]]],[]]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,1,1,2,1]
[[[],[[],[],[],[],[]]]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [6,1,1]
[[[],[[],[],[],[[]]]]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [5,1,1,1]
[[[],[[],[],[[]],[]]]] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [4,2,1,1]
[[[],[[],[],[[],[]]]]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [5,1,1,1]
[[[],[[],[],[[[]]]]]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [4,1,1,1,1]
[[[],[[],[[]],[],[]]]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [3,3,1,1]
[[[],[[],[[]],[[]]]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [3,2,1,1,1]
[[[],[[],[[],[]],[]]]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [4,2,1,1]
[[[],[[],[[[]]],[]]]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [3,1,2,1,1]
[[[],[[],[[],[],[]]]]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [5,1,1,1]
[[[],[[],[[],[[]]]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [4,1,1,1,1]
[[[],[[],[[[]],[]]]]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [3,2,1,1,1]
[[[],[[],[[[],[]]]]]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [4,1,1,1,1]
[[[],[[],[[[[]]]]]]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1,1,1]
[[[],[[[]],[],[],[]]]] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,4,1,1]
[[[],[[[]],[],[[]]]]] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [2,3,1,1,1]
[[[],[[[]],[[]],[]]]] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [2,2,2,1,1]
[[[],[[[]],[[],[]]]]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [2,3,1,1,1]
[[[],[[[]],[[[]]]]]] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [2,2,1,1,1,1]
[[[],[[[],[]],[],[]]]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [3,3,1,1]
[[[],[[[[]]],[],[]]]] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,1,1]
[[[],[[[],[]],[[]]]]] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [3,2,1,1,1]
[[[],[[[[]]],[[]]]]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,1,2,1,1,1]
[[[],[[[],[],[]],[]]]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [4,2,1,1]
[[[],[[[],[[]]],[]]]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [3,1,2,1,1]
[[[],[[[[]],[]],[]]]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,2,2,1,1]
[[[],[[[[],[]]],[]]]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,1,1]
[[[],[[[[[]]]],[]]]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,1,2,1,1]
[[[],[[[],[],[],[]]]]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [5,1,1,1]
[[[],[[[],[],[[]]]]]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [4,1,1,1,1]
[[[],[[[],[[]],[]]]]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [3,2,1,1,1]
[[[],[[[],[[],[]]]]]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [4,1,1,1,1]
[[[],[[[],[[[]]]]]]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1]
[[[],[[[[]],[],[]]]]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,3,1,1,1]
[[[],[[[[]],[[]]]]]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1]
[[[],[[[[],[]],[]]]]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [3,2,1,1,1]
[[[],[[[[[]]],[]]]]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1]
[[[],[[[[],[],[]]]]]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [4,1,1,1,1]
[[[],[[[[],[[]]]]]]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1]
[[[],[[[[[]],[]]]]]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1]
[[[],[[[[[],[]]]]]]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1]
[[[],[[[[[[]]]]]]]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1]
[[[[]],[],[],[],[],[]]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,6,1]
[[[[]],[],[],[],[[]]]] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,5,1,1]
[[[[]],[],[],[[]],[]]] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,4,2,1]
[[[[]],[],[],[[],[]]]] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,5,1,1]
[[[[]],[],[],[[[]]]]] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,4,1,1,1]
[[[[]],[],[[]],[],[]]] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,3,3,1]
[[[[]],[],[[]],[[]]]] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,3,2,1,1]
[[[[]],[],[[],[]],[]]] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,4,2,1]
[[[[]],[],[[[]]],[]]] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,3,1,2,1]
[[[[]],[],[[],[],[]]]] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,5,1,1]
[[[[]],[],[[],[[]]]]] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,4,1,1,1]
[[[[]],[],[[[]],[]]]] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,3,2,1,1]
[[[[]],[],[[[],[]]]]] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,4,1,1,1]
[[[[]],[],[[[[]]]]]] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,3,1,1,1,1]
[[[[]],[[]],[],[],[]]] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,2,4,1]
[[[[]],[[]],[],[[]]]] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,2,3,1,1]
[[[[]],[[]],[[]],[]]] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,2,2,2,1]
[[[[]],[[]],[[],[]]]] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,2,3,1,1]
[[[[]],[[]],[[[]]]]] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,2,2,1,1,1]
[[[[]],[[],[]],[],[]]] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,3,3,1]
[[[[]],[[[]]],[],[]]] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,2,1,3,1]
[[[[]],[[],[]],[[]]]] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,3,2,1,1]
[[[[]],[[[]]],[[]]]] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,2,1,2,1,1]
[[[[]],[[],[],[]],[]]] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,4,2,1]
[[[[]],[[],[[]]],[]]] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,3,1,2,1]
[[[[]],[[[]],[]],[]]] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,2,2,2,1]
[[[[]],[[[],[]]],[]]] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,3,1,2,1]
[[[[]],[[[[]]]],[]]] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,2,1,1,2,1]
[[[[]],[[],[],[],[]]]] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,5,1,1]
[[[[]],[[],[],[[]]]]] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,4,1,1,1]
[[[[]],[[],[[]],[]]]] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,3,2,1,1]
[[[[]],[[],[[],[]]]]] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,4,1,1,1]
[[[[]],[[],[[[]]]]]] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,3,1,1,1,1]
[[[[]],[[[]],[],[]]]] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,2,3,1,1]
[[[[]],[[[]],[[]]]]] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,2,2,1,1,1]
[[[[]],[[[],[]],[]]]] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,3,2,1,1]
[[[[]],[[[[]]],[]]]] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,2,1,2,1,1]
[[[[]],[[[],[],[]]]]] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,4,1,1,1]
[[[[]],[[[],[[]]]]]] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1]
[[[[]],[[[[]],[]]]]] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,2,2,1,1,1]
[[[[]],[[[[],[]]]]]] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1]
[[[[]],[[[[[]]]]]]] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1,1]
[[[[],[]],[],[],[],[]]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,5,1]
[[[[[]]],[],[],[],[]]] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,5,1]
[[[[],[]],[],[],[[]]]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,4,1,1]
[[[[[]]],[],[],[[]]]] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,4,1,1]
[[[[],[]],[],[[]],[]]] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,3,2,1]
[[[[[]]],[],[[]],[]]] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,3,2,1]
[[[[],[]],[],[[],[]]]] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,4,1,1]
[[[[],[]],[],[[[]]]]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,3,1,1,1]
[[[[[]]],[],[[],[]]]] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,4,1,1]
[[[[[]]],[],[[[]]]]] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,3,1,1,1]
[[[[],[]],[[]],[],[]]] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,2,3,1]
[[[[[]]],[[]],[],[]]] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,2,3,1]
[[[[],[]],[[]],[[]]]] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,2,2,1,1]
[[[[[]]],[[]],[[]]]] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,2,2,1,1]
[[[[],[]],[[],[]],[]]] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,3,2,1]
[[[[],[]],[[[]]],[]]] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,2,1,2,1]
[[[[[]]],[[],[]],[]]] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,3,2,1]
[[[[[]]],[[[]]],[]]] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,2,1,2,1]
[[[[],[]],[[],[],[]]]] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,4,1,1]
[[[[],[]],[[],[[]]]]] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,3,1,1,1]
[[[[],[]],[[[]],[]]]] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,2,1,1]
[[[[],[]],[[[],[]]]]] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,3,1,1,1]
[[[[],[]],[[[[]]]]]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1]
[[[[[]]],[[],[],[]]]] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,4,1,1]
[[[[[]]],[[],[[]]]]] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,3,1,1,1]
[[[[[]]],[[[]],[]]]] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,2,2,1,1]
[[[[[]]],[[[],[]]]]] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,3,1,1,1]
[[[[[]]],[[[[]]]]]] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1,1]
[[[[],[],[]],[],[],[]]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [3,4,1]
[[[[],[[]]],[],[],[]]] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,1]
[[[[[]],[]],[],[],[]]] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,2,4,1]
[[[[[],[]]],[],[],[]]] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,1]
[[[[[[]]]],[],[],[]]] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,4,1]
[[[[],[],[]],[],[[]]]] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [3,3,1,1]
[[[[],[[]]],[],[[]]]] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,3,1,1]
[[[[[]],[]],[],[[]]]] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,2,3,1,1]
[[[[[],[]]],[],[[]]]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,3,1,1]
[[[[[[]]]],[],[[]]]] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,3,1,1]
[[[[],[],[]],[[]],[]]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [3,2,2,1]
[[[[],[[]]],[[]],[]]] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,2,2,1]
[[[[[]],[]],[[]],[]]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,2,2,2,1]
[[[[[],[]]],[[]],[]]] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,2,2,1]
[[[[[[]]]],[[]],[]]] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,2,2,1]
[[[[],[],[]],[[],[]]]] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [3,3,1,1]
[[[[],[],[]],[[[]]]]] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [3,2,1,1,1]
[[[[],[[]]],[[],[]]]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,3,1,1]
[[[[],[[]]],[[[]]]]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1]
[[[[[]],[]],[[],[]]]] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,1,1]
[[[[[]],[]],[[[]]]]] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,2,2,1,1,1]
[[[[[],[]]],[[],[]]]] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,3,1,1]
[[[[[],[]]],[[[]]]]] => [[[[.,[.,.]],.],[[[.,.],.],.]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1]
[[[[[[]]]],[[],[]]]] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,3,1,1]
[[[[[[]]]],[[[]]]]] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,2,1,1,1]
[[[[],[],[],[]],[],[]]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [4,3,1]
[[[[],[],[[]]],[],[]]] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [3,1,3,1]
[[[[],[[]],[]],[],[]]] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,2,3,1]
[[[[],[[],[]]],[],[]]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,3,1]
[[[[],[[[]]]],[],[]]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1]
[[[[[]],[],[]],[],[]]] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,3,3,1]
[[[[[]],[[]]],[],[]]] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,2,1,3,1]
[[[[[],[]],[]],[],[]]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,2,3,1]
[[[[[[]]],[]],[],[]]] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,2,3,1]
[[[[[],[],[]]],[],[]]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,3,1]
[[[[[],[[]]]],[],[]]] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1]
[[[[[[]],[]]],[],[]]] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,2,1,3,1]
[[[[[[],[]]]],[],[]]] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1]
[[[[[[[]]]]],[],[]]] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,3,1]
[[[[],[],[],[]],[[]]]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [4,2,1,1]
[[[[],[],[[]]],[[]]]] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [3,1,2,1,1]
[[[[],[[]],[]],[[]]]] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [2,2,2,1,1]
[[[[],[[],[]]],[[]]]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,2,1,1]
[[[[],[[[]]]],[[]]]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,1,2,1,1]
[[[[[]],[],[]],[[]]]] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,3,2,1,1]
[[[[[]],[[]]],[[]]]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,2,1,2,1,1]
[[[[[],[]],[]],[[]]]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,2,1,1]
[[[[[[]]],[]],[[]]]] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,2,2,1,1]
[[[[[],[],[]]],[[]]]] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,2,1,1]
[[[[[],[[]]]],[[]]]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,2,1,1]
[[[[[[]],[]]],[[]]]] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,2,1,1]
[[[[[[],[]]]],[[]]]] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,2,1,1]
[[[[[[[]]]]],[[]]]] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,2,1,1]
[[[[],[],[],[],[]],[]]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [5,2,1]
[[[[],[],[],[[]]],[]]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [4,1,2,1]
[[[[],[],[[]],[]],[]]] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [3,2,2,1]
[[[[],[],[[],[]]],[]]] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [4,1,2,1]
[[[[],[],[[[]]]],[]]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,1,2,1]
[[[[],[[]],[],[]],[]]] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [2,3,2,1]
[[[[],[[]],[[]]],[]]] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,2,1,2,1]
[[[[],[[],[]],[]],[]]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [3,2,2,1]
[[[[],[[[]]],[]],[]]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,1,2,2,1]
[[[[],[[],[],[]]],[]]] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [4,1,2,1]
[[[[],[[],[[]]]],[]]] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,1,2,1]
[[[[],[[[]],[]]],[]]] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,2,1,2,1]
[[[[],[[[],[]]]],[]]] => [[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [3,1,1,2,1]
[[[[],[[[[]]]]],[]]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,1,2,1]
[[[[[]],[],[],[]],[]]] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,4,2,1]
[[[[[]],[],[[]]],[]]] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,3,1,2,1]
[[[[[]],[[]],[]],[]]] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,2,2,2,1]
[[[[[]],[[],[]]],[]]] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,3,1,2,1]
[[[[[]],[[[]]]],[]]] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,2,1,1,2,1]
[[[[[],[]],[],[]],[]]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,3,2,1]
[[[[[[]]],[],[]],[]]] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,3,2,1]
[[[[[],[]],[[]]],[]]] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,2,1,2,1]
[[[[[[]]],[[]]],[]]] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,2,1,2,1]
[[[[[],[],[]],[]],[]]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,1]
[[[[[],[[]]],[]],[]]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,1]
[[[[[[]],[]],[]],[]]] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,1]
[[[[[[],[]]],[]],[]]] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,1]
[[[[[[[]]]],[]],[]]] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,2,2,1]
[[[[[],[],[],[]]],[]]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1]
[[[[[],[],[[]]]],[]]] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1]
[[[[[],[[]],[]]],[]]] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [2,2,1,2,1]
[[[[[],[[],[]]]],[]]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1]
[[[[[],[[[]]]]],[]]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1]
[[[[[[]],[],[]]],[]]] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,3,1,2,1]
[[[[[[]],[[]]]],[]]] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,1,2,1]
[[[[[[],[]],[]]],[]]] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,2,1,2,1]
[[[[[[[]]],[]]],[]]] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,2,1,2,1]
[[[[[[],[],[]]]],[]]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1]
[[[[[[],[[]]]]],[]]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1]
[[[[[[[]],[]]]],[]]] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,2,1]
[[[[[[[],[]]]]],[]]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1]
[[[[[[[[]]]]]],[]]] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,2,1]
[[[[],[],[],[],[],[]]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,1]
[[[[],[],[],[],[[]]]]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [5,1,1,1]
[[[[],[],[],[[]],[]]]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [4,2,1,1]
[[[[],[],[],[[],[]]]]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [5,1,1,1]
[[[[],[],[],[[[]]]]]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,1,1]
[[[[],[],[[]],[],[]]]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [3,3,1,1]
[[[[],[],[[]],[[]]]]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [3,2,1,1,1]
[[[[],[],[[],[]],[]]]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [4,2,1,1]
[[[[],[],[[[]]],[]]]] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [3,1,2,1,1]
[[[[],[],[[],[],[]]]]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [5,1,1,1]
[[[[],[],[[],[[]]]]]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [4,1,1,1,1]
[[[[],[],[[[]],[]]]]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [3,2,1,1,1]
[[[[],[],[[[],[]]]]]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [4,1,1,1,1]
[[[[],[],[[[[]]]]]]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1,1,1]
[[[[],[[]],[],[],[]]]] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,4,1,1]
[[[[],[[]],[],[[]]]]] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [2,3,1,1,1]
[[[[],[[]],[[]],[]]]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [2,2,2,1,1]
[[[[],[[]],[[],[]]]]] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,3,1,1,1]
[[[[],[[]],[[[]]]]]] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,2,1,1,1,1]
[[[[],[[],[]],[],[]]]] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [3,3,1,1]
[[[[],[[[]]],[],[]]]] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,1,3,1,1]
[[[[],[[],[]],[[]]]]] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [3,2,1,1,1]
[[[[],[[[]]],[[]]]]] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,1,2,1,1,1]
[[[[],[[],[],[]],[]]]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [4,2,1,1]
[[[[],[[],[[]]],[]]]] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [3,1,2,1,1]
[[[[],[[[]],[]],[]]]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [2,2,2,1,1]
[[[[],[[[],[]]],[]]]] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [3,1,2,1,1]
[[[[],[[[[]]]],[]]]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,1,2,1,1]
[[[[],[[],[],[],[]]]]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [5,1,1,1]
[[[[],[[],[],[[]]]]]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [4,1,1,1,1]
[[[[],[[],[[]],[]]]]] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [3,2,1,1,1]
[[[[],[[],[[],[]]]]]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [4,1,1,1,1]
[[[[],[[],[[[]]]]]]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1]
[[[[],[[[]],[],[]]]]] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [2,3,1,1,1]
[[[[],[[[]],[[]]]]]] => [[[.,[[[.,.],[[.,.],.]],.]],.],.] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1]
[[[[],[[[],[]],[]]]]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [3,2,1,1,1]
[[[[],[[[[]]],[]]]]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1]
[[[[],[[[],[],[]]]]]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [4,1,1,1,1]
[[[[],[[[],[[]]]]]]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1]
[[[[],[[[[]],[]]]]]] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1]
[[[[],[[[[],[]]]]]]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1]
[[[[],[[[[[]]]]]]]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1]
[[[[[]],[],[],[],[]]]] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,5,1,1]
[[[[[]],[],[],[[]]]]] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,4,1,1,1]
[[[[[]],[],[[]],[]]]] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,3,2,1,1]
[[[[[]],[],[[],[]]]]] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,4,1,1,1]
[[[[[]],[],[[[]]]]]] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,3,1,1,1,1]
[[[[[]],[[]],[],[]]]] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,1,1]
[[[[[]],[[]],[[]]]]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,2,2,1,1,1]
[[[[[]],[[],[]],[]]]] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,3,2,1,1]
[[[[[]],[[[]]],[]]]] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,2,1,2,1,1]
[[[[[]],[[],[],[]]]]] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,4,1,1,1]
[[[[[]],[[],[[]]]]]] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,3,1,1,1,1]
[[[[[]],[[[]],[]]]]] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,2,2,1,1,1]
[[[[[]],[[[],[]]]]]] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,3,1,1,1,1]
[[[[[]],[[[[]]]]]]] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1,1]
[[[[[],[]],[],[],[]]]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,4,1,1]
[[[[[[]]],[],[],[]]]] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,4,1,1]
[[[[[],[]],[],[[]]]]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,3,1,1,1]
[[[[[[]]],[],[[]]]]] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,3,1,1,1]
[[[[[],[]],[[]],[]]]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,2,2,1,1]
[[[[[[]]],[[]],[]]]] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,2,2,1,1]
[[[[[],[]],[[],[]]]]] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,3,1,1,1]
[[[[[],[]],[[[]]]]]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1]
[[[[[[]]],[[],[]]]]] => [[[[[.,.],.],[[.,[.,.]],.]],.],.] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,3,1,1,1]
[[[[[[]]],[[[]]]]]] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,2,1,1,1,1]
[[[[[],[],[]],[],[]]]] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [3,3,1,1]
[[[[[],[[]]],[],[]]]] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,1,1]
[[[[[[]],[]],[],[]]]] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,1,1]
[[[[[[],[]]],[],[]]]] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,1,1]
[[[[[[[]]]],[],[]]]] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,3,1,1]
[[[[[],[],[]],[[]]]]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [3,2,1,1,1]
[[[[[],[[]]],[[]]]]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1]
[[[[[[]],[]],[[]]]]] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,2,2,1,1,1]
[[[[[[],[]]],[[]]]]] => [[[[[.,[.,.]],.],[[.,.],.]],.],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1]
[[[[[[[]]]],[[]]]]] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,2,1,1,1]
[[[[[],[],[],[]],[]]]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1]
[[[[[],[],[[]]],[]]]] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1]
[[[[[],[[]],[]],[]]]] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [2,2,2,1,1]
[[[[[],[[],[]]],[]]]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1]
[[[[[],[[[]]]],[]]]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1]
[[[[[[]],[],[]],[]]]] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,3,2,1,1]
[[[[[[]],[[]]],[]]]] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,2,1,2,1,1]
[[[[[[],[]],[]],[]]]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,2,1,1]
[[[[[[[]]],[]],[]]]] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,2,2,1,1]
[[[[[[],[],[]]],[]]]] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1]
[[[[[[],[[]]]],[]]]] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1]
[[[[[[[]],[]]],[]]]] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,2,1,2,1,1]
[[[[[[[],[]]]],[]]]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1]
[[[[[[[[]]]]],[]]]] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,2,1,1]
[[[[[],[],[],[],[]]]]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1]
[[[[[],[],[],[[]]]]]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1,1]
[[[[[],[],[[]],[]]]]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [3,2,1,1,1]
[[[[[],[],[[],[]]]]]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [4,1,1,1,1]
[[[[[],[],[[[]]]]]]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1]
[[[[[],[[]],[],[]]]]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1]
[[[[[],[[]],[[]]]]]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [2,2,1,1,1,1]
[[[[[],[[],[]],[]]]]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,1,1]
[[[[[],[[[]]],[]]]]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1]
[[[[[],[[],[],[]]]]]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1,1]
[[[[[],[[],[[]]]]]]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1]
[[[[[],[[[]],[]]]]]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1,1]
[[[[[],[[[],[]]]]]]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1]
[[[[[],[[[[]]]]]]]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1]
[[[[[[]],[],[],[]]]]] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1]
[[[[[[]],[],[[]]]]]] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1,1]
[[[[[[]],[[]],[]]]]] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,2,2,1,1,1]
[[[[[[]],[[],[]]]]]] => [[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,3,1,1,1,1]
[[[[[[]],[[[]]]]]]] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1]
[[[[[[],[]],[],[]]]]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1]
[[[[[[[]]],[],[]]]]] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1]
[[[[[[],[]],[[]]]]]] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1,1]
[[[[[[[]]],[[]]]]]] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1]
[[[[[[],[],[]],[]]]]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [3,2,1,1,1]
[[[[[[],[[]]],[]]]]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1]
[[[[[[[]],[]],[]]]]] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,2,1,1,1]
[[[[[[[],[]]],[]]]]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1]
[[[[[[[[]]]],[]]]]] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1]
[[[[[[],[],[],[]]]]]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1]
[[[[[[],[],[[]]]]]]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1]
[[[[[[],[[]],[]]]]]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1]
[[[[[[],[[],[]]]]]]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1]
[[[[[[],[[[]]]]]]]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1]
[[[[[[[]],[],[]]]]]] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1]
[[[[[[[]],[[]]]]]]] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1]
[[[[[[[],[]],[]]]]]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1]
[[[[[[[[]]],[]]]]]] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1]
[[[[[[[],[],[]]]]]]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1]
[[[[[[[],[[]]]]]]]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1]
[[[[[[[[]],[]]]]]]] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1]
[[[[[[[[],[]]]]]]]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1]
[[[[[[[[[]]]]]]]]] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1]
[[],[[],[[],[[],[[],[]]]]]] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [6,1,1,1,1]
[[],[[],[[],[[[],[]],[]]]]] => [.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,2,1,1,1]
[[],[[],[[[],[]],[[],[]]]]] => [.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [4,3,1,1,1]
[[],[[],[[[],[[],[]]],[]]]] => [.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [5,1,2,1,1]
[[],[[],[[[[],[]],[]],[]]]] => [.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,2,2,1,1]
[[],[[[],[]],[[],[[],[]]]]] => [.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [3,4,1,1,1]
[[],[[[],[]],[[[],[]],[]]]] => [.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [3,3,2,1,1]
[[],[[[],[[],[]]],[[],[]]]] => [.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [4,1,3,1,1]
[[],[[[[],[]],[]],[[],[]]]] => [.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,2,3,1,1]
[[],[[[],[[],[[],[]]]],[]]] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [5,1,1,2,1]
[[],[[[],[[[],[]],[]]],[]]] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,2,1,2,1]
[[],[[[[],[]],[[],[]]],[]]] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [3,3,1,2,1]
[[],[[[[],[[],[]]],[]],[]]] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [4,1,2,2,1]
[[],[[[[[],[]],[]],[]],[]]] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,2,2,1]
[[[],[]],[[],[[],[[],[]]]]] => [[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,5,1,1,1]
[[[],[]],[[],[[[],[]],[]]]] => [[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [2,4,2,1,1]
[[[],[]],[[[],[]],[[],[]]]] => [[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,3,1,1]
[[[],[]],[[[],[[],[]]],[]]] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,4,1,2,1]
[[[],[]],[[[[],[]],[]],[]]] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,3,2,2,1]
[[[],[[],[]]],[[],[[],[]]]] => [[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,1,4,1,1]
[[[],[[],[]]],[[[],[]],[]]] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,3,2,1]
[[[[],[]],[]],[[],[[],[]]]] => [[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,2,4,1,1]
[[[[],[]],[]],[[[],[]],[]]] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,2,3,2,1]
[[[],[[],[[],[]]]],[[],[]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [4,1,1,3,1]
[[[],[[[],[]],[]]],[[],[]]] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,1,3,1]
[[[[],[]],[[],[]]],[[],[]]] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1,3,1]
[[[[],[[],[]]],[]],[[],[]]] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,1,2,3,1]
[[[[[],[]],[]],[]],[[],[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,2,3,1]
[[[],[[],[[],[[],[]]]]],[]] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [5,1,1,1,2]
[[[],[[],[[[],[]],[]]]],[]] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,2,1,1,2]
[[[],[[[],[]],[[],[]]]],[]] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [3,3,1,1,2]
[[[],[[[],[[],[]]],[]]],[]] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,1,2,1,2]
[[[],[[[[],[]],[]],[]]],[]] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,2,1,2]
[[[[],[]],[[],[[],[]]]],[]] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,4,1,1,2]
[[[[],[]],[[[],[]],[]]],[]] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,3,2,1,2]
[[[[],[[],[]]],[[],[]]],[]] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,3,1,2]
[[[[[],[]],[]],[[],[]]],[]] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,2,3,1,2]
[[[[],[[],[[],[]]]],[]],[]] => [[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,1,1,2,2]
[[[[],[[[],[]],[]]],[]],[]] => [[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,1,2,2]
[[[[[],[]],[[],[]]],[]],[]] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,2,2]
[[[[[],[[],[]]],[]],[]],[]] => [[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,1,2,2,2]
[[[[[[],[]],[]],[]],[]],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2]
[[],[[],[[],[[],[[],[[],[]]]]]]] => [.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [7,1,1,1,1,1]
[[],[[],[[],[[],[[[],[]],[]]]]]] => [.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [6,2,1,1,1,1]
[[],[[],[[],[[[],[]],[[],[]]]]]] => [.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [5,3,1,1,1,1]
[[],[[],[[],[[[],[[],[]]],[]]]]] => [.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [6,1,2,1,1,1]
[[],[[],[[],[[[[],[]],[]],[]]]]] => [.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,2,2,1,1,1]
[[],[[],[[[],[]],[[],[[],[]]]]]] => [.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [4,4,1,1,1,1]
[[],[[],[[[],[]],[[[],[]],[]]]]] => [.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [4,3,2,1,1,1]
[[],[[],[[[],[[],[]]],[[],[]]]]] => [.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,3,1,1,1]
[[],[[],[[[[],[]],[]],[[],[]]]]] => [.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [4,2,3,1,1,1]
[[],[[],[[[],[[],[[],[]]]],[]]]] => [.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [6,1,1,2,1,1]
[[],[[],[[[],[[[],[]],[]]],[]]]] => [.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [5,2,1,2,1,1]
[[],[[],[[[[],[]],[[],[]]],[]]]] => [.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,3,1,2,1,1]
[[],[[],[[[[],[[],[]]],[]],[]]]] => [.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [5,1,2,2,1,1]
[[],[[],[[[[[],[]],[]],[]],[]]]] => [.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,2,2,2,1,1]
[[],[[[],[]],[[],[[],[[],[]]]]]] => [.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [3,5,1,1,1,1]
[[],[[[],[]],[[],[[[],[]],[]]]]] => [.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [3,4,2,1,1,1]
[[],[[[],[]],[[[],[]],[[],[]]]]] => [.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [3,3,3,1,1,1]
[[],[[[],[]],[[[],[[],[]]],[]]]] => [.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [3,4,1,2,1,1]
[[],[[[],[]],[[[[],[]],[]],[]]]] => [.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [3,3,2,2,1,1]
[[],[[[],[[],[]]],[[],[[],[]]]]] => [.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [4,1,4,1,1,1]
[[],[[[],[[],[]]],[[[],[]],[]]]] => [.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,3,2,1,1]
[[],[[[[],[]],[]],[[],[[],[]]]]] => [.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [3,2,4,1,1,1]
[[],[[[[],[]],[]],[[[],[]],[]]]] => [.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [3,2,3,2,1,1]
[[],[[[],[[],[[],[]]]],[[],[]]]] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [5,1,1,3,1,1]
[[],[[[],[[[],[]],[]]],[[],[]]]] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [4,2,1,3,1,1]
[[],[[[[],[]],[[],[]]],[[],[]]]] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,3,1,3,1,1]
[[],[[[[],[[],[]]],[]],[[],[]]]] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [4,1,2,3,1,1]
[[],[[[[[],[]],[]],[]],[[],[]]]] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,2,2,3,1,1]
[[],[[[],[[],[[],[[],[]]]]],[]]] => [.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [6,1,1,1,2,1]
[[],[[[],[[],[[[],[]],[]]]],[]]] => [.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [5,2,1,1,2,1]
[[],[[[],[[[],[]],[[],[]]]],[]]] => [.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,3,1,1,2,1]
[[],[[[],[[[],[[],[]]],[]]],[]]] => [.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [5,1,2,1,2,1]
[[],[[[],[[[[],[]],[]],[]]],[]]] => [.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,2,2,1,2,1]
[[],[[[[],[]],[[],[[],[]]]],[]]] => [.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [3,4,1,1,2,1]
[[],[[[[],[]],[[[],[]],[]]],[]]] => [.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [3,3,2,1,2,1]
[[],[[[[],[[],[]]],[[],[]]],[]]] => [.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,3,1,2,1]
[[],[[[[[],[]],[]],[[],[]]],[]]] => [.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [3,2,3,1,2,1]
[[],[[[[],[[],[[],[]]]],[]],[]]] => [.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [5,1,1,2,2,1]
[[],[[[[],[[[],[]],[]]],[]],[]]] => [.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [4,2,1,2,2,1]
[[],[[[[[],[]],[[],[]]],[]],[]]] => [.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,3,1,2,2,1]
[[],[[[[[],[[],[]]],[]],[]],[]]] => [.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [4,1,2,2,2,1]
[[],[[[[[[],[]],[]],[]],[]],[]]] => [.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,2,2,2,1]
[[[],[]],[[],[[],[[],[[],[]]]]]] => [[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,6,1,1,1,1]
[[[],[]],[[],[[],[[[],[]],[]]]]] => [[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,5,2,1,1,1]
[[[],[]],[[],[[[],[]],[[],[]]]]] => [[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,4,3,1,1,1]
[[[],[]],[[],[[[],[[],[]]],[]]]] => [[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [2,5,1,2,1,1]
[[[],[]],[[],[[[[],[]],[]],[]]]] => [[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [2,4,2,2,1,1]
[[[],[]],[[[],[]],[[],[[],[]]]]] => [[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,3,4,1,1,1]
[[[],[]],[[[],[]],[[[],[]],[]]]] => [[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [2,3,3,2,1,1]
[[[],[]],[[[],[[],[]]],[[],[]]]] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [2,4,1,3,1,1]
[[[],[]],[[[[],[]],[]],[[],[]]]] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,2,3,1,1]
[[[],[]],[[[],[[],[[],[]]]],[]]] => [[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,5,1,1,2,1]
[[[],[]],[[[],[[[],[]],[]]],[]]] => [[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,4,2,1,2,1]
[[[],[]],[[[[],[]],[[],[]]],[]]] => [[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,3,3,1,2,1]
[[[],[]],[[[[],[[],[]]],[]],[]]] => [[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,4,1,2,2,1]
[[[],[]],[[[[[],[]],[]],[]],[]]] => [[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,3,2,2,2,1]
[[[],[[],[]]],[[],[[],[[],[]]]]] => [[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [3,1,5,1,1,1]
[[[],[[],[]]],[[],[[[],[]],[]]]] => [[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [3,1,4,2,1,1]
[[[],[[],[]]],[[[],[]],[[],[]]]] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,3,3,1,1]
[[[],[[],[]]],[[[],[[],[]]],[]]] => [[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [3,1,4,1,2,1]
[[[],[[],[]]],[[[[],[]],[]],[]]] => [[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,3,2,2,1]
[[[[],[]],[]],[[],[[],[[],[]]]]] => [[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,2,5,1,1,1]
[[[[],[]],[]],[[],[[[],[]],[]]]] => [[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [2,2,4,2,1,1]
[[[[],[]],[]],[[[],[]],[[],[]]]] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [2,2,3,3,1,1]
[[[[],[]],[]],[[[],[[],[]]],[]]] => [[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,2,4,1,2,1]
[[[[],[]],[]],[[[[],[]],[]],[]]] => [[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,2,3,2,2,1]
[[[],[[],[[],[]]]],[[],[[],[]]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,1,4,1,1]
[[[],[[],[[],[]]]],[[[],[]],[]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [4,1,1,3,2,1]
[[[],[[[],[]],[]]],[[],[[],[]]]] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,2,1,4,1,1]
[[[],[[[],[]],[]]],[[[],[]],[]]] => [[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,1,3,2,1]
[[[[],[]],[[],[]]],[[],[[],[]]]] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,4,1,1]
[[[[],[]],[[],[]]],[[[],[]],[]]] => [[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,3,1,3,2,1]
[[[[],[[],[]]],[]],[[],[[],[]]]] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,1,2,4,1,1]
[[[[],[[],[]]],[]],[[[],[]],[]]] => [[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,2,3,2,1]
[[[[[],[]],[]],[]],[[],[[],[]]]] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,2,2,4,1,1]
[[[[[],[]],[]],[]],[[[],[]],[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,3,2,1]
[[[],[[],[[],[[],[]]]]],[[],[]]] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [5,1,1,1,3,1]
[[[],[[],[[[],[]],[]]]],[[],[]]] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [4,2,1,1,3,1]
[[[],[[[],[]],[[],[]]]],[[],[]]] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,3,1,1,3,1]
[[[],[[[],[[],[]]],[]]],[[],[]]] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [4,1,2,1,3,1]
[[[],[[[[],[]],[]],[]]],[[],[]]] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,2,1,3,1]
[[[[],[]],[[],[[],[]]]],[[],[]]] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,4,1,1,3,1]
[[[[],[]],[[[],[]],[]]],[[],[]]] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,2,1,3,1]
[[[[],[[],[]]],[[],[]]],[[],[]]] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,3,1,3,1]
[[[[[],[]],[]],[[],[]]],[[],[]]] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,2,3,1,3,1]
[[[[],[[],[[],[]]]],[]],[[],[]]] => [[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [4,1,1,2,3,1]
[[[[],[[[],[]],[]]],[]],[[],[]]] => [[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,2,1,2,3,1]
[[[[[],[]],[[],[]]],[]],[[],[]]] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1,2,3,1]
[[[[[],[[],[]]],[]],[]],[[],[]]] => [[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,1,2,2,3,1]
[[[[[[],[]],[]],[]],[]],[[],[]]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,2,2,3,1]
[[[],[[],[[],[[],[[],[]]]]]],[]] => [[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [6,1,1,1,1,2]
[[[],[[],[[],[[[],[]],[]]]]],[]] => [[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [5,2,1,1,1,2]
[[[],[[],[[[],[]],[[],[]]]]],[]] => [[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,3,1,1,1,2]
[[[],[[],[[[],[[],[]]],[]]]],[]] => [[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [5,1,2,1,1,2]
[[[],[[],[[[[],[]],[]],[]]]],[]] => [[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,2,2,1,1,2]
[[[],[[[],[]],[[],[[],[]]]]],[]] => [[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [3,4,1,1,1,2]
[[[],[[[],[]],[[[],[]],[]]]],[]] => [[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [3,3,2,1,1,2]
[[[],[[[],[[],[]]],[[],[]]]],[]] => [[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,3,1,1,2]
[[[],[[[[],[]],[]],[[],[]]]],[]] => [[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [3,2,3,1,1,2]
[[[],[[[],[[],[[],[]]]],[]]],[]] => [[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [5,1,1,2,1,2]
[[[],[[[],[[[],[]],[]]],[]]],[]] => [[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,2,1,2,1,2]
[[[],[[[[],[]],[[],[]]],[]]],[]] => [[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,3,1,2,1,2]
[[[],[[[[],[[],[]]],[]],[]]],[]] => [[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,1,2,2,1,2]
[[[],[[[[[],[]],[]],[]],[]]],[]] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,2,2,1,2]
[[[[],[]],[[],[[],[[],[]]]]],[]] => [[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,5,1,1,1,2]
[[[[],[]],[[],[[[],[]],[]]]],[]] => [[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,4,2,1,1,2]
[[[[],[]],[[[],[]],[[],[]]]],[]] => [[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,3,3,1,1,2]
[[[[],[]],[[[],[[],[]]],[]]],[]] => [[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,4,1,2,1,2]
[[[[],[]],[[[[],[]],[]],[]]],[]] => [[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,3,2,2,1,2]
[[[[],[[],[]]],[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [3,1,4,1,1,2]
[[[[],[[],[]]],[[[],[]],[]]],[]] => [[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,3,2,1,2]
[[[[[],[]],[]],[[],[[],[]]]],[]] => [[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,2,4,1,1,2]
[[[[[],[]],[]],[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,3,2,1,2]
[[[[],[[],[[],[]]]],[[],[]]],[]] => [[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [4,1,1,3,1,2]
[[[[],[[[],[]],[]]],[[],[]]],[]] => [[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,1,3,1,2]
[[[[[],[]],[[],[]]],[[],[]]],[]] => [[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,3,1,3,1,2]
[[[[[],[[],[]]],[]],[[],[]]],[]] => [[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,2,3,1,2]
[[[[[[],[]],[]],[]],[[],[]]],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,2,2,3,1,2]
[[[[],[[],[[],[[],[]]]]],[]],[]] => [[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [5,1,1,1,2,2]
[[[[],[[],[[[],[]],[]]]],[]],[]] => [[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,2,1,1,2,2]
[[[[],[[[],[]],[[],[]]]],[]],[]] => [[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,3,1,1,2,2]
[[[[],[[[],[[],[]]],[]]],[]],[]] => [[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,1,2,1,2,2]
[[[[],[[[[],[]],[]],[]]],[]],[]] => [[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,2,1,2,2]
[[[[[],[]],[[],[[],[]]]],[]],[]] => [[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,4,1,1,2,2]
[[[[[],[]],[[[],[]],[]]],[]],[]] => [[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,2,1,2,2]
[[[[[],[[],[]]],[[],[]]],[]],[]] => [[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,3,1,2,2]
[[[[[[],[]],[]],[[],[]]],[]],[]] => [[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,2,3,1,2,2]
[[[[[],[[],[[],[]]]],[]],[]],[]] => [[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,1,1,2,2,2]
[[[[[],[[[],[]],[]]],[]],[]],[]] => [[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,2,1,2,2,2]
[[[[[[],[]],[[],[]]],[]],[]],[]] => [[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,2,2,2]
[[[[[[],[[],[]]],[]],[]],[]],[]] => [[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,1,2,2,2,2]
[[[[[[[],[]],[]],[]],[]],[]],[]] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2]
Map
to binary tree: right brother = right child
Description
Return a binary tree of size $n-1$ (where $n$ is the size of an ordered tree $t$) obtained from $t$ by the following recursive rule:
- if $x$ is the right brother of $y$ in $t$, then $x$ becomes the right child of $y$;
- if $x$ is the first child of $y$ in $t$, then $x$ becomes the left child of $y$,
and removing the root of $t$.
- if $x$ is the right brother of $y$ in $t$, then $x$ becomes the right child of $y$;
- if $x$ is the first child of $y$ in $t$, then $x$ becomes the left child of $y$,
and removing the root of $t$.
Map
to Tamari-corresponding Dyck path
Description
Return the Dyck path associated with a binary tree in consistency with the Tamari order on Dyck words and binary trees.
The bijection is defined recursively as follows:
The bijection is defined recursively as follows:
- a leaf is associated with an empty Dyck path,
- a tree with children $l,r$ is associated with the Dyck word $T(l) 1 T(r) 0$ where $T(l)$ and $T(r)$ are the images of this bijection to $l$ and $r$.
Map
rise composition
Description
Send a Dyck path to the composition of sizes of its rises.
searching the database
Sorry, this map was not found in the database.