- FindStat

Identifier

Mp00029: Dyck paths —to binary tree: left tree, up step, right tree, down step⟶ Binary trees
Mp00008: Binary trees —to complete tree⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees

Images

[1,0] => [.,.] => [[],[]] => [[],[]]

[1,0,1,0] => [[.,.],.] => [[[],[]],[]] => [[],[[],[]]]

[1,1,0,0] => [.,[.,.]] => [[],[[],[]]] => [[[],[]],[]]

[1,0,1,0,1,0] => [[[.,.],.],.] => [[[[],[]],[]],[]] => [[],[[],[[],[]]]]

[1,0,1,1,0,0] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => [[[],[]],[[],[]]]

[1,1,0,0,1,0] => [[.,[.,.]],.] => [[[],[[],[]]],[]] => [[],[[[],[]],[]]]

[1,1,0,1,0,0] => [.,[[.,.],.]] => [[],[[[],[]],[]]] => [[[],[[],[]]],[]]

[1,1,1,0,0,0] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => [[[[],[]],[]],[]]

[1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => [[[[[],[]],[]],[]],[]] => [[],[[],[[],[[],[]]]]]

[1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => [[[[],[]],[]],[[],[]]] => [[[],[]],[[],[[],[]]]]

[1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => [[[[],[]],[[],[]]],[]] => [[],[[[],[]],[[],[]]]]

[1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => [[[],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[]]]

[1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => [[[],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[]]]

[1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => [[[[],[[],[]]],[]],[]] => [[],[[],[[[],[]],[]]]]

[1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => [[[],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[]]]

[1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => [[[],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[]]]

[1,1,0,1,0,1,0,0] => [.,[[[.,.],.],.]] => [[],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[]]

[1,1,0,1,1,0,0,0] => [.,[[.,.],[.,.]]] => [[],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[]]

[1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => [[[],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[]]]

[1,1,1,0,0,1,0,0] => [.,[[.,[.,.]],.]] => [[],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[]]

[1,1,1,0,1,0,0,0] => [.,[.,[[.,.],.]]] => [[],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[]]

[1,1,1,1,0,0,0,0] => [.,[.,[.,[.,.]]]] => [[],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[]]

[1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => [[[[[[],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[]]]]]]

[1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => [[[[[],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[]]]]]

[1,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],.] => [[[[[],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [[[[],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[]]]]

[1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => [[[[],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[]]]]

[1,0,1,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],.] => [[[[[],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[.,.]] => [[[[],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[]]]]

[1,0,1,1,0,1,0,0,1,0] => [[[.,.],[[.,.],.]],.] => [[[[],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[]]]]

[1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [[[],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[]]]

[1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [[[],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[]]]

[1,0,1,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [[[[],[]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[],[]]]]

[1,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,[.,.]],.]] => [[[],[]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[],[]]]

[1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => [[[],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[]]]

[1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => [[[],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[]]]

[1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => [[[[[],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => [[[[],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[]]]]

[1,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],.] => [[[[],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [[[],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => [[[],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[]]]

[1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => [[[[],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[]]]]

[1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => [[[],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[]]]

[1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => [[[],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[]]]

[1,1,0,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]] => [[],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[]]

[1,1,0,1,0,1,1,0,0,0] => [.,[[[.,.],.],[.,.]]] => [[],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[]]

[1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],[.,.]]],.] => [[[],[[[],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[]]],[]]]

[1,1,0,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => [[],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[]]

[1,1,0,1,1,0,1,0,0,0] => [.,[[.,.],[[.,.],.]]] => [[],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[]]

[1,1,0,1,1,1,0,0,0,0] => [.,[[.,.],[.,[.,.]]]] => [[],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[]]

[1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => [[[[],[[],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => [[[],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[]]]

[1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => [[[],[[[],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],.],.]] => [[],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[]]

[1,1,1,0,0,1,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [[],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[]]

[1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => [[[],[[],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[]],[]]]

[1,1,1,0,1,0,0,1,0,0] => [.,[[.,[[.,.],.]],.]] => [[],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[]]

[1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => [[],[[],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[]],[]]

[1,1,1,0,1,1,0,0,0,0] => [.,[.,[[.,.],[.,.]]]] => [[],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[]]

[1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => [[[],[[],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[]],[]]]

[1,1,1,1,0,0,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => [[],[[[],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[]]],[]]

[1,1,1,1,0,0,1,0,0,0] => [.,[.,[[.,[.,.]],.]]] => [[],[[],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[]],[]]

[1,1,1,1,0,1,0,0,0,0] => [.,[.,[.,[[.,.],.]]]] => [[],[[],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[]],[]]

[1,1,1,1,1,0,0,0,0,0] => [.,[.,[.,[.,[.,.]]]]] => [[],[[],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[]],[]]

[1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],.] => [[[[[[[],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[]]]]]]]

[1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,.]] => [[[[[[],[]],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[[],[]]]]]]

[1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[.,.],.],.],[.,.]],.] => [[[[[[],[]],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[[],[]]]]]]

[1,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => [[[[[],[]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[],[]]]]]

[1,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,.],.],.],[.,[.,.]]] => [[[[[],[]],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[[],[]]]]]

[1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[.,.],.],[.,.]],.],.] => [[[[[[],[]],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[[],[]]]]]]

[1,0,1,0,1,1,0,0,1,1,0,0] => [[[[.,.],.],[.,.]],[.,.]] => [[[[[],[]],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,0,0,1,0] => [[[[.,.],.],[[.,.],.]],.] => [[[[[],[]],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => [[[[],[]],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[[],[]]]]

[1,0,1,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => [[[[],[]],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[[],[]]]]

[1,0,1,0,1,1,1,0,0,0,1,0] => [[[[.,.],.],[.,[.,.]]],.] => [[[[[],[]],[]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,1,0,0,1,0,0] => [[[.,.],.],[[.,[.,.]],.]] => [[[[],[]],[]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[],[[],[]]]]

[1,0,1,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[.,[[.,.],.]]] => [[[[],[]],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[[],[]]]]

[1,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[.,[.,.]]]] => [[[[],[]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[],[]]]]

[1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,.]],.],.],.] => [[[[[[],[]],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[[],[]]]]]]

[1,0,1,1,0,0,1,0,1,1,0,0] => [[[[.,.],[.,.]],.],[.,.]] => [[[[[],[]],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,0,0,1,0] => [[[[.,.],[.,.]],[.,.]],.] => [[[[[],[]],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,0,1,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [[[[],[]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[],[]]]]

[1,0,1,1,0,0,1,1,1,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => [[[[],[]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[],[]]]]

[1,0,1,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,.],.]],.],.] => [[[[[],[]],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[[],[]]]]]

[1,0,1,1,0,1,0,0,1,1,0,0] => [[[.,.],[[.,.],.]],[.,.]] => [[[[],[]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[],[]]]]

[1,0,1,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,.],.],.]],.] => [[[[],[]],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[[],[]]]]

[1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],.],.]] => [[[],[]],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[[],[]]]

[1,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] => [[[],[]],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[[],[]]]

[1,0,1,1,0,1,1,0,0,0,1,0] => [[[.,.],[[.,.],[.,.]]],.] => [[[[],[]],[[[],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[]]],[[],[]]]]

[1,0,1,1,0,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[.,.]],.]] => [[[],[]],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[[],[]]]

[1,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,.],[[.,.],.]]] => [[[],[]],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[[],[]]]

[1,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,.],[.,[.,.]]]] => [[[],[]],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[[],[]]]

[1,0,1,1,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,.]]],.],.] => [[[[[],[]],[[],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[]],[[],[]]]]]

[1,0,1,1,1,0,0,0,1,1,0,0] => [[[.,.],[.,[.,.]]],[.,.]] => [[[[],[]],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[[],[]]]]

[1,0,1,1,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,.]],.]],.] => [[[[],[]],[[[],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[]]],[[],[]]]]

[1,0,1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,.]],.],.]] => [[[],[]],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[[],[]]]

[1,0,1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,[.,.]],[.,.]]] => [[[],[]],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[[],[]]]

[1,0,1,1,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,.],.]]],.] => [[[[],[]],[[],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[]],[[],[]]]]

[1,0,1,1,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[.,.],.]],.]] => [[[],[]],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[[],[]]]

[1,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]] => [[[],[]],[[],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[]],[[],[]]]

[1,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[.,[[.,.],[.,.]]]] => [[[],[]],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[[],[]]]

>>> Load all 1142 entries. <<<

[1,0,1,1,1,1,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,.]]]],.] => [[[[],[]],[[],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[]],[[],[]]]]

[1,0,1,1,1,1,0,0,0,1,0,0] => [[.,.],[[.,[.,[.,.]]],.]] => [[[],[]],[[[],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[]]],[[],[]]]

[1,0,1,1,1,1,0,0,1,0,0,0] => [[.,.],[.,[[.,[.,.]],.]]] => [[[],[]],[[],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[]],[[],[]]]

[1,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,.],.]]]] => [[[],[]],[[],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[]],[[],[]]]

[1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,.]]]]] => [[[],[]],[[],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[]],[[],[]]]

[1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],.] => [[[[[[],[[],[]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[],[]],[]]]]]]

[1,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,.]] => [[[[[],[[],[]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,1,0,0,1,0] => [[[[.,[.,.]],.],[.,.]],.] => [[[[[],[[],[]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => [[[[],[[],[]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[],[]],[]]]]

[1,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[.,.]]] => [[[[],[[],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[]],[]]]]

[1,1,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,.]],[.,.]],.],.] => [[[[[],[[],[]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,.]],[.,.]],[.,.]] => [[[[],[[],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,.]],[[.,.],.]],.] => [[[[],[[],[]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],.],.]] => [[[],[[],[]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[],[]],[]]]

[1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,.],[.,.]]] => [[[],[[],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,.]],[.,[.,.]]],.] => [[[[],[[],[]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,1,0,0,1,0,0] => [[.,[.,.]],[[.,[.,.]],.]] => [[[],[[],[]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[.,.],.]]] => [[[],[[],[]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[],[]],[]]]

[1,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[.,[.,[.,.]]]] => [[[],[[],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[]],[]]]

[1,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],.] => [[[[[],[[[],[]],[]]],[]],[]],[]] => [[],[[],[[],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,.]] => [[[[],[[[],[]],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[[],[]]],[]]]]

[1,1,0,1,0,0,1,1,0,0,1,0] => [[[.,[[.,.],.]],[.,.]],.] => [[[[],[[[],[]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[],[]]],[]]]]

[1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => [[[],[[[],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[]]],[]]]

[1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[.,.]]] => [[[],[[[],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[]]],[]]]

[1,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],.] => [[[[],[[[[],[]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[],[]]]],[]]]]

[1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,.]] => [[[],[[[[],[]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[],[]]]],[]]]

[1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],.]],.] => [[[],[[[[[],[]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[],[]]]]],[]]]

[1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[.,.],.],.],.],.]] => [[],[[[[[[],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[]]]]]],[]]

[1,1,0,1,0,1,0,1,1,0,0,0] => [.,[[[[.,.],.],.],[.,.]]] => [[],[[[[[],[]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[],[]]]]],[]]

[1,1,0,1,0,1,1,0,0,0,1,0] => [[.,[[[.,.],.],[.,.]]],.] => [[[],[[[[],[]],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[[],[]]]],[]]]

[1,1,0,1,0,1,1,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => [[],[[[[[],[]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[],[]]]]],[]]

[1,1,0,1,0,1,1,0,1,0,0,0] => [.,[[[.,.],.],[[.,.],.]]] => [[],[[[[],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[]]]],[]]

[1,1,0,1,0,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,[.,.]]]] => [[],[[[[],[]],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[[],[]]]],[]]

[1,1,0,1,1,0,0,0,1,0,1,0] => [[[.,[[.,.],[.,.]]],.],.] => [[[[],[[[],[]],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[[],[]]],[]]]]

[1,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],[.,.]]],[.,.]] => [[[],[[[],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[]]],[]]]

[1,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[.,.]],.]],.] => [[[],[[[[],[]],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[[],[]]]],[]]]

[1,1,0,1,1,0,0,1,0,1,0,0] => [.,[[[[.,.],[.,.]],.],.]] => [[],[[[[[],[]],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[[],[]]]]],[]]

[1,1,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],[.,.]]] => [[],[[[[],[]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[],[]]]],[]]

[1,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,.],[[.,.],.]]],.] => [[[],[[[],[]],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[[],[]]],[]]]

[1,1,0,1,1,0,1,0,0,1,0,0] => [.,[[[.,.],[[.,.],.]],.]] => [[],[[[[],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[]]]],[]]

[1,1,0,1,1,0,1,0,1,0,0,0] => [.,[[.,.],[[[.,.],.],.]]] => [[],[[[],[]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[],[]]],[]]

[1,1,0,1,1,0,1,1,0,0,0,0] => [.,[[.,.],[[.,.],[.,.]]]] => [[],[[[],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[]]],[]]

[1,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,.],[.,[.,.]]]],.] => [[[],[[[],[]],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[[],[]]],[]]]

[1,1,0,1,1,1,0,0,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => [[],[[[[],[]],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[[],[]]]],[]]

[1,1,0,1,1,1,0,0,1,0,0,0] => [.,[[.,.],[[.,[.,.]],.]]] => [[],[[[],[]],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[[],[]]],[]]

[1,1,0,1,1,1,0,1,0,0,0,0] => [.,[[.,.],[.,[[.,.],.]]]] => [[],[[[],[]],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[[],[]]],[]]

[1,1,0,1,1,1,1,0,0,0,0,0] => [.,[[.,.],[.,[.,[.,.]]]]] => [[],[[[],[]],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[[],[]]],[]]

[1,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],.] => [[[[[],[[],[[],[]]]],[]],[]],[]] => [[],[[],[[],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[],[[],[[],[]]]],[]],[[],[]]] => [[[],[]],[[],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,.]]],[.,.]],.] => [[[[],[[],[[],[]]]],[[],[]]],[]] => [[],[[[],[]],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => [[[],[[],[[],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[.,.]]] => [[[],[[],[[],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[]],[]],[]]]

[1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],.],.] => [[[[],[[[],[[],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[]],[]]],[]]]]

[1,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => [[[],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],.] => [[[],[[[[],[[],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[]],[]]]],[]]]

[1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[[.,[.,.]],.],.],.]] => [[],[[[[[],[[],[]]],[]],[]],[]]] => [[[],[[],[[],[[[],[]],[]]]]],[]]

[1,1,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,[.,.]],.],[.,.]]] => [[],[[[[],[[],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[]],[]]]],[]]

[1,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,.]],[.,.]]],.] => [[[],[[[],[[],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => [[],[[[[],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[]]]],[]]

[1,1,1,0,0,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[[.,.],.]]] => [[],[[[],[[],[]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[],[]],[]]],[]]

[1,1,1,0,0,1,1,1,0,0,0,0] => [.,[[.,[.,.]],[.,[.,.]]]] => [[],[[[],[[],[]]],[[],[[],[]]]]] => [[[[[],[]],[]],[[[],[]],[]]],[]]

[1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],.] => [[[[],[[],[[[],[]],[]]]],[]],[]] => [[],[[],[[[[],[[],[]]],[]],[]]]]

[1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => [[[],[[],[[[],[]],[]]]],[[],[]]] => [[[],[]],[[[[],[[],[]]],[]],[]]]

[1,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],.]],.]],.] => [[[],[[[],[[[],[]],[]]],[]]],[]] => [[],[[[],[[[],[[],[]]],[]]],[]]]

[1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[[.,.],.]],.],.]] => [[],[[[[],[[[],[]],[]]],[]],[]]] => [[[],[[],[[[],[[],[]]],[]]]],[]]

[1,1,1,0,1,0,0,1,1,0,0,0] => [.,[[.,[[.,.],.]],[.,.]]] => [[],[[[],[[[],[]],[]]],[[],[]]]] => [[[[],[]],[[[],[[],[]]],[]]],[]]

[1,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],.],.]]],.] => [[[],[[],[[[[],[]],[]],[]]]],[]] => [[],[[[[],[[],[[],[]]]],[]],[]]]

[1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[[[.,.],.],.]],.]] => [[],[[[],[[[[],[]],[]],[]]],[]]] => [[[],[[[],[[],[[],[]]]],[]]],[]]

[1,1,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => [[],[[],[[[[[],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[]]]]],[]],[]]

[1,1,1,0,1,0,1,1,0,0,0,0] => [.,[.,[[[.,.],.],[.,.]]]] => [[],[[],[[[[],[]],[]],[[],[]]]]] => [[[[[],[]],[[],[[],[]]]],[]],[]]

[1,1,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,.],[.,.]]]],.] => [[[],[[],[[[],[]],[[],[]]]]],[]] => [[],[[[[[],[]],[[],[]]],[]],[]]]

[1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[[.,.],[.,.]]],.]] => [[],[[[],[[[],[]],[[],[]]]],[]]] => [[[],[[[[],[]],[[],[]]],[]]],[]]

[1,1,1,0,1,1,0,0,1,0,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => [[],[[],[[[[],[]],[[],[]]],[]]]] => [[[[],[[[],[]],[[],[]]]],[]],[]]

[1,1,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[.,.],.]]]] => [[],[[],[[[],[]],[[[],[]],[]]]]] => [[[[[],[[],[]]],[[],[]]],[]],[]]

[1,1,1,0,1,1,1,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,.]]]]] => [[],[[],[[[],[]],[[],[[],[]]]]]] => [[[[[[],[]],[]],[[],[]]],[]],[]]

[1,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],.] => [[[[],[[],[[],[[],[]]]]],[]],[]] => [[],[[],[[[[[],[]],[]],[]],[]]]]

[1,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => [[[],[[],[[],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[]],[]],[]]]

[1,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] => [[[],[[[],[[],[[],[]]]],[]]],[]] => [[],[[[],[[[[],[]],[]],[]]],[]]]

[1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => [[],[[[[],[[],[[],[]]]],[]],[]]] => [[[],[[],[[[[],[]],[]],[]]]],[]]

[1,1,1,1,0,0,0,1,1,0,0,0] => [.,[[.,[.,[.,.]]],[.,.]]] => [[],[[[],[[],[[],[]]]],[[],[]]]] => [[[[],[]],[[[[],[]],[]],[]]],[]]

[1,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],.] => [[[],[[],[[[],[[],[]]],[]]]],[]] => [[],[[[[],[[[],[]],[]]],[]],[]]]

[1,1,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[.,.]],.]],.]] => [[],[[[],[[[],[[],[]]],[]]],[]]] => [[[],[[[],[[[],[]],[]]],[]]],[]]

[1,1,1,1,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => [[],[[],[[[[],[[],[]]],[]],[]]]] => [[[[],[[],[[[],[]],[]]]],[]],[]]

[1,1,1,1,0,0,1,1,0,0,0,0] => [.,[.,[[.,[.,.]],[.,.]]]] => [[],[[],[[[],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[]]],[]],[]]

[1,1,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],.]]]],.] => [[[],[[],[[],[[[],[]],[]]]]],[]] => [[],[[[[[],[[],[]]],[]],[]],[]]]

[1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[.,[.,[[.,.],.]]],.]] => [[],[[[],[[],[[[],[]],[]]]],[]]] => [[[],[[[[],[[],[]]],[]],[]]],[]]

[1,1,1,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[.,.],.]],.]]] => [[],[[],[[[],[[[],[]],[]]],[]]]] => [[[[],[[[],[[],[]]],[]]],[]],[]]

[1,1,1,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => [[],[[],[[],[[[[],[]],[]],[]]]]] => [[[[[],[[],[[],[]]]],[]],[]],[]]

[1,1,1,1,0,1,1,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,.]]]]] => [[],[[],[[],[[[],[]],[[],[]]]]]] => [[[[[[],[]],[[],[]]],[]],[]],[]]

[1,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] => [[[],[[],[[],[[],[[],[]]]]]],[]] => [[],[[[[[[],[]],[]],[]],[]],[]]]

[1,1,1,1,1,0,0,0,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => [[],[[[],[[],[[],[[],[]]]]],[]]] => [[[],[[[[[],[]],[]],[]],[]]],[]]

[1,1,1,1,1,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => [[],[[],[[[],[[],[[],[]]]],[]]]] => [[[[],[[[[],[]],[]],[]]],[]],[]]

[1,1,1,1,1,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => [[],[[],[[],[[[],[[],[]]],[]]]]] => [[[[[],[[[],[]],[]]],[]],[]],[]]

[1,1,1,1,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => [[],[[],[[],[[],[[[],[]],[]]]]]] => [[[[[[],[[],[]]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => [[],[[],[[],[[],[[],[[],[]]]]]]] => [[[[[[[],[]],[]],[]],[]],[]],[]]

[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],.],.],.],.],.],.] => [[[[[[[[],[]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[],[]]]]]]]]

[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[],[]],[]],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[[],[[],[]]]]]]]

[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],.],.],.],[.,.]],.] => [[[[[[[],[]],[]],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[[],[[],[]]]]]]]

[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[[.,.],.],.],.],[[.,.],.]] => [[[[[[],[]],[]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[],[[],[]]]]]]

[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[[[.,.],.],.],.],[.,[.,.]]] => [[[[[[],[]],[]],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[[],[[],[]]]]]]

[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[.,.],.],.],[.,.]],.],.] => [[[[[[[],[]],[]],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[[],[[],[]]]]]]]

[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[[],[]],[]],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[[],[[],[]]]]]]

[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[[[.,.],.],.],[[.,.],.]],.] => [[[[[[],[]],[]],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[[],[[],[]]]]]]

[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[[.,.],.],.]] => [[[[[],[]],[]],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[[],[[],[]]]]]

[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[[[.,.],.],.],[[.,.],[.,.]]] => [[[[[],[]],[]],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[[],[[],[]]]]]

[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[[[.,.],.],.],[.,[.,.]]],.] => [[[[[[],[]],[]],[]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[],[[],[[],[]]]]]]

[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[[[.,.],.],.],[[.,[.,.]],.]] => [[[[[],[]],[]],[]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[],[[],[[],[]]]]]

[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[[.,.],.],.],[.,[[.,.],.]]] => [[[[[],[]],[]],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[[],[[],[]]]]]

[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[[],[]],[]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[],[[],[]]]]]

[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[.,.],.],[.,.]],.],.],.] => [[[[[[[],[]],[]],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[[],[[],[]]]]]]]

[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[[[[.,.],.],[.,.]],.],[.,.]] => [[[[[[],[]],[]],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[[],[[],[]]]]]]

[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[[[.,.],.],[.,.]],[.,.]],.] => [[[[[[],[]],[]],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[[],[[],[]]]]]]

[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[[[.,.],.],[.,.]],[[.,.],.]] => [[[[[],[]],[]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [[[[[],[]],[]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[[[.,.],.],[[.,.],.]],.],.] => [[[[[[],[]],[]],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[[],[[],[]]]]]]

[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[[[.,.],.],[[.,.],.]],[.,.]] => [[[[[],[]],[]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[[.,.],.],[[[.,.],.],.]],.] => [[[[[],[]],[]],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[[[.,.],.],.],.]] => [[[[],[]],[]],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[[],[[],[]]]]

[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[[.,.],.],[[[.,.],.],[.,.]]] => [[[[],[]],[]],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[[],[[],[]]]]

[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[.,.],[.,.]]],.] => [[[[[],[]],[]],[[[],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[]]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[[.,.],.],[[[.,.],[.,.]],.]] => [[[[],[]],[]],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[[],[[],[]]]]

[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[.,.],.],[[.,.],[[.,.],.]]] => [[[[],[]],[]],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[[],[[],[]]]]

[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [[[[],[]],[]],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[[],[[],[]]]]

[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,[.,.]]],.],.] => [[[[[[],[]],[]],[[],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[]],[[],[[],[]]]]]]

[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [[[[[],[]],[]],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,[.,.]],.]],.] => [[[[[],[]],[]],[[[],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[]]],[[],[[],[]]]]]

[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,[.,.]],.],.]] => [[[[],[]],[]],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[[],[[],[]]]]

[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [[[[],[]],[]],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[[],[[],[]]]]

[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[[.,.],.],[.,[[.,.],.]]],.] => [[[[[],[]],[]],[[],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[[.,.],.],[[.,[[.,.],.]],.]] => [[[[],[]],[]],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[[],[[],[]]]]

[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[[.,.],.],[.,[[[.,.],.],.]]] => [[[[],[]],[]],[[],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[]],[[],[[],[]]]]

[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [[[[],[]],[]],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[[],[[],[]]]]

[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [[[[[],[]],[]],[[],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [[[[],[]],[]],[[[],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[]]],[[],[[],[]]]]

[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [[[[],[]],[]],[[],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[]],[[],[[],[]]]]

[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [[[[],[]],[]],[[],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[]],[[],[[],[]]]]

[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[[],[]],[]],[[],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[]],[[],[[],[]]]]

[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[.,.]],.],.],.],.] => [[[[[[[],[]],[[],[]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[],[]],[[],[]]]]]]]

[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[[[[.,.],[.,.]],.],.],[.,.]] => [[[[[[],[]],[[],[]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[],[]],[[],[]]]]]]

[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => [[[[[[],[]],[[],[]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[],[]],[[],[]]]]]]

[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[[[.,.],[.,.]],.],[[.,.],.]] => [[[[[],[]],[[],[]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [[[[[],[]],[[],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[[[.,.],[.,.]],[.,.]],.],.] => [[[[[[],[]],[[],[]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[],[]],[[],[]]]]]]

[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [[[[[],[]],[[],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],[.,.]],[[.,.],.]],.] => [[[[[],[]],[[],[]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],.],.]] => [[[[],[]],[[],[]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[],[]],[[],[]]]]

[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [[[[],[]],[[],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[]],[[],[]]]]

[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [[[[[],[]],[[],[]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [[[[],[]],[[],[]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[],[]],[[],[]]]]

[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [[[[],[]],[[],[]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[],[]],[[],[]]]]

[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[[],[]],[[],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[]],[[],[]]]]

[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[[.,.],.]],.],.],.] => [[[[[[],[]],[[[],[]],[]]],[]],[]],[]] => [[],[[],[[],[[[],[[],[]]],[[],[]]]]]]

[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[[[.,.],[[.,.],.]],.],[.,.]] => [[[[[],[]],[[[],[]],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[[],[]]],[[],[]]]]]

[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],[[.,.],.]],[.,.]],.] => [[[[[],[]],[[[],[]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[],[]]],[[],[]]]]]

[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[[.,.],.]],[[.,.],.]] => [[[[],[]],[[[],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[]]],[[],[]]]]

[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [[[[],[]],[[[],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[]]],[[],[]]]]

[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[[.,.],.],.]],.],.] => [[[[[],[]],[[[[],[]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[],[]]]],[[],[]]]]]

[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[[[.,.],.],.]],[.,.]] => [[[[],[]],[[[[],[]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[],[]]]],[[],[]]]]

[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[[.,.],.],.],.]],.] => [[[[],[]],[[[[[],[]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[],[]]]]],[[],[]]]]

[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[[.,.],.],.],.],.]] => [[[],[]],[[[[[[],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[]]]]]],[[],[]]]

[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[[[.,.],.],.],[.,.]]] => [[[],[]],[[[[[],[]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[],[]]]]],[[],[]]]

[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[[[.,.],.],[.,.]]],.] => [[[[],[]],[[[[],[]],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[[],[]]]],[[],[]]]]

[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[.,.],[[[[.,.],.],[.,.]],.]] => [[[],[]],[[[[[],[]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[],[]]]]],[[],[]]]

[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[[.,.],.],[[.,.],.]]] => [[[],[]],[[[[],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[]]]],[[],[]]]

[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [[[],[]],[[[[],[]],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[[],[]]]],[[],[]]]

[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],[[.,.],[.,.]]],.],.] => [[[[[],[]],[[[],[]],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[[],[]]],[[],[]]]]]

[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [[[[],[]],[[[],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[]]],[[],[]]]]

[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[[.,.],[.,.]],.]],.] => [[[[],[]],[[[[],[]],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[[],[]]]],[[],[]]]]

[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],.],.]] => [[[],[]],[[[[[],[]],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[[],[]]]]],[[],[]]]

[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [[[],[]],[[[[],[]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[],[]]]],[[],[]]]

[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[[.,.],[[.,.],.]]],.] => [[[[],[]],[[[],[]],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[[],[]]],[[],[]]]]

[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[.,.],[[[.,.],[[.,.],.]],.]] => [[[],[]],[[[[],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[]]]],[[],[]]]

[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[.,.],[[.,.],[[[.,.],.],.]]] => [[[],[]],[[[],[]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[],[]]],[[],[]]]

[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [[[],[]],[[[],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[]]],[[],[]]]

[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [[[[],[]],[[[],[]],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[[],[]]],[[],[]]]]

[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [[[],[]],[[[[],[]],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[[],[]]]],[[],[]]]

[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [[[],[]],[[[],[]],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[[],[]]],[[],[]]]

[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [[[],[]],[[[],[]],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[[],[]]],[[],[]]]

[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [[[],[]],[[[],[]],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[[],[]]],[[],[]]]

[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[.,.]]],.],.],.] => [[[[[[],[]],[[],[[],[]]]],[]],[]],[]] => [[],[[],[[],[[[[],[]],[]],[[],[]]]]]]

[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [[[[[],[]],[[],[[],[]]]],[]],[[],[]]] => [[[],[]],[[],[[[[],[]],[]],[[],[]]]]]

[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [[[[[],[]],[[],[[],[]]]],[[],[]]],[]] => [[],[[[],[]],[[[[],[]],[]],[[],[]]]]]

[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [[[[],[]],[[],[[],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[]],[]],[[],[]]]]

[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[[],[]],[[],[[],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[]],[]],[[],[]]]]

[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,[.,.]],.]],.],.] => [[[[[],[]],[[[],[[],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[]],[]]],[[],[]]]]]

[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [[[[],[]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[],[]]]]

[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,[.,.]],.],.]],.] => [[[[],[]],[[[[],[[],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[]],[]]]],[[],[]]]]

[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,[.,.]],.],.],.]] => [[[],[]],[[[[[],[[],[]]],[]],[]],[]]] => [[[],[[],[[],[[[],[]],[]]]]],[[],[]]]

[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [[[],[]],[[[[],[[],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[]],[]]]],[[],[]]]

[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [[[[],[]],[[[],[[],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[]],[]]],[[],[]]]]

[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [[[],[]],[[[[],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[]]]],[[],[]]]

[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [[[],[]],[[[],[[],[]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[],[]],[]]],[[],[]]]

[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [[[],[]],[[[],[[],[]]],[[],[[],[]]]]] => [[[[[],[]],[]],[[[],[]],[]]],[[],[]]]

[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[[.,.],.]]],.],.] => [[[[[],[]],[[],[[[],[]],[]]]],[]],[]] => [[],[[],[[[[],[[],[]]],[]],[[],[]]]]]

[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [[[[],[]],[[],[[[],[]],[]]]],[[],[]]] => [[[],[]],[[[[],[[],[]]],[]],[[],[]]]]

[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[[.,.],.]],.]],.] => [[[[],[]],[[[],[[[],[]],[]]],[]]],[]] => [[],[[[],[[[],[[],[]]],[]]],[[],[]]]]

[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[[.,.],.]],.],.]] => [[[],[]],[[[[],[[[],[]],[]]],[]],[]]] => [[[],[[],[[[],[[],[]]],[]]]],[[],[]]]

[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [[[],[]],[[[],[[[],[]],[]]],[[],[]]]] => [[[[],[]],[[[],[[],[]]],[]]],[[],[]]]

[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[[.,.],.],.]]],.] => [[[[],[]],[[],[[[[],[]],[]],[]]]],[]] => [[],[[[[],[[],[[],[]]]],[]],[[],[]]]]

[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[[.,.],.],.]],.]] => [[[],[]],[[[],[[[[],[]],[]],[]]],[]]] => [[[],[[[],[[],[[],[]]]],[]]],[[],[]]]

[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[[.,.],.],.],.]]] => [[[],[]],[[],[[[[[],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[]]]]],[]],[[],[]]]

[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [[[],[]],[[],[[[[],[]],[]],[[],[]]]]] => [[[[[],[]],[[],[[],[]]]],[]],[[],[]]]

[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [[[[],[]],[[],[[[],[]],[[],[]]]]],[]] => [[],[[[[[],[]],[[],[]]],[]],[[],[]]]]

[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [[[],[]],[[[],[[[],[]],[[],[]]]],[]]] => [[[],[[[[],[]],[[],[]]],[]]],[[],[]]]

[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [[[],[]],[[],[[[[],[]],[[],[]]],[]]]] => [[[[],[[[],[]],[[],[]]]],[]],[[],[]]]

[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [[[],[]],[[],[[[],[]],[[[],[]],[]]]]] => [[[[[],[[],[]]],[[],[]]],[]],[[],[]]]

[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [[[],[]],[[],[[[],[]],[[],[[],[]]]]]] => [[[[[[],[]],[]],[[],[]]],[]],[[],[]]]

[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [[[[[],[]],[[],[[],[[],[]]]]],[]],[]] => [[],[[],[[[[[],[]],[]],[]],[[],[]]]]]

[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[[],[]],[[],[[],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[]],[]],[[],[]]]]

[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [[[[],[]],[[[],[[],[[],[]]]],[]]],[]] => [[],[[[],[[[[],[]],[]],[]]],[[],[]]]]

[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [[[],[]],[[[[],[[],[[],[]]]],[]],[]]] => [[[],[[],[[[[],[]],[]],[]]]],[[],[]]]

[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [[[],[]],[[[],[[],[[],[]]]],[[],[]]]] => [[[[],[]],[[[[],[]],[]],[]]],[[],[]]]

[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [[[[],[]],[[],[[[],[[],[]]],[]]]],[]] => [[],[[[[],[[[],[]],[]]],[]],[[],[]]]]

[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [[[],[]],[[[],[[[],[[],[]]],[]]],[]]] => [[[],[[[],[[[],[]],[]]],[]]],[[],[]]]

[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [[[],[]],[[],[[[[],[[],[]]],[]],[]]]] => [[[[],[[],[[[],[]],[]]]],[]],[[],[]]]

[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [[[],[]],[[],[[[],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[]]],[]],[[],[]]]

[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [[[[],[]],[[],[[],[[[],[]],[]]]]],[]] => [[],[[[[[],[[],[]]],[]],[]],[[],[]]]]

[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [[[],[]],[[[],[[],[[[],[]],[]]]],[]]] => [[[],[[[[],[[],[]]],[]],[]]],[[],[]]]

[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [[[],[]],[[],[[[],[[[],[]],[]]],[]]]] => [[[[],[[[],[[],[]]],[]]],[]],[[],[]]]

[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [[[],[]],[[],[[],[[[[],[]],[]],[]]]]] => [[[[[],[[],[[],[]]]],[]],[]],[[],[]]]

[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [[[],[]],[[],[[],[[[],[]],[[],[]]]]]] => [[[[[[],[]],[[],[]]],[]],[]],[[],[]]]

[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [[[[],[]],[[],[[],[[],[[],[]]]]]],[]] => [[],[[[[[[],[]],[]],[]],[]],[[],[]]]]

[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [[[],[]],[[[],[[],[[],[[],[]]]]],[]]] => [[[],[[[[[],[]],[]],[]],[]]],[[],[]]]

[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [[[],[]],[[],[[[],[[],[[],[]]]],[]]]] => [[[[],[[[[],[]],[]],[]]],[]],[[],[]]]

[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [[[],[]],[[],[[],[[[],[[],[]]],[]]]]] => [[[[[],[[[],[]],[]]],[]],[]],[[],[]]]

[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [[[],[]],[[],[[],[[],[[[],[]],[]]]]]] => [[[[[[],[[],[]]],[]],[]],[]],[[],[]]]

[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[[],[]],[[],[[],[[],[[],[[],[]]]]]]] => [[[[[[[],[]],[]],[]],[]],[]],[[],[]]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],.],.],.],.],.] => [[[[[[[],[[],[]]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[[],[]],[]]]]]]]

[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[],[[],[]]],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[[[],[]],[]]]]]]

[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[[.,[.,.]],.],.],[.,.]],.] => [[[[[[],[[],[]]],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[[[],[]],[]]]]]]

[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,[.,.]],.],.],[[.,.],.]] => [[[[[],[[],[]]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [[[[[],[[],[]]],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[[.,[.,.]],.],[.,.]],.],.] => [[[[[[],[[],[]]],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[[[],[]],[]]]]]]

[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [[[[[],[[],[]]],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],[[.,.],.]],.] => [[[[[],[[],[]]],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[.,[.,.]],.],[[[.,.],.],.]] => [[[[],[[],[]]],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[[[],[]],[]]]]

[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [[[[],[[],[]]],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[[[],[]],[]]]]

[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [[[[[],[[],[]]],[]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [[[[],[[],[]]],[]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[],[[[],[]],[]]]]

[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [[[[],[[],[]]],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[[[],[]],[]]]]

[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[[],[[],[]]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[[],[]],[]]]]

[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[[.,[.,.]],[.,.]],.],.],.] => [[[[[[],[[],[]]],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[[[],[]],[]]]]]]

[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [[[[[],[[],[]]],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [[[[[],[[],[]]],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [[[[],[[],[]]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[[],[[],[]]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[.,.],.]],.],.] => [[[[[],[[],[]]],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [[[[],[[],[]]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[[[.,.],.],.]],.] => [[[[],[[],[]]],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[[[.,.],.],.],.]] => [[[],[[],[]]],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[[[],[]],[]]]

[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [[[],[[],[]]],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[[[],[]],[]]]

[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [[[[],[[],[]]],[[[],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[]]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [[[],[[],[]]],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[[[],[]],[]]]

[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [[[],[[],[]]],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [[[],[[],[]]],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [[[[[],[[],[]]],[[],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[]],[[[],[]],[]]]]]

[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[[],[[],[]]],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [[[[],[[],[]]],[[[],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[]]],[[[],[]],[]]]]

[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [[[],[[],[]]],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [[[],[[],[]]],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [[[[],[[],[]]],[[],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [[[],[[],[]]],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [[[],[[],[]]],[[],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [[[],[[],[]]],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[[[],[]],[]]]

[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[[],[[],[]]],[[],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [[[],[[],[]]],[[[],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [[[],[[],[]]],[[],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[]],[[[],[]],[]]]

[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [[[],[[],[]]],[[],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[]],[[[],[]],[]]]

[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[[],[[],[]]],[[],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[]],[[[],[]],[]]]

[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[[.,.],.]],.],.],.],.] => [[[[[[],[[[],[]],[]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[],[[],[]]],[]]]]]]

[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[[[],[[[],[]],[]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[.,[[.,.],.]],.],[.,.]],.] => [[[[[],[[[],[]],[]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[[.,.],.]],.],[[.,.],.]] => [[[[],[[[],[]],[]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[],[[],[]]],[]]]]

[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [[[[],[[[],[]],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[[],[]]],[]]]]

[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[.,[[.,.],.]],[.,.]],.],.] => [[[[[],[[[],[]],[]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [[[[],[[[],[]],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[[],[]]],[]]]]

[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[.,[[.,.],.]],[[.,.],.]],.] => [[[[],[[[],[]],[]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[],[[],[]]],[]]]]

[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[.,[[.,.],.]],[[[.,.],.],.]] => [[[],[[[],[]],[]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[],[[],[]]],[]]]

[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [[[],[[[],[]],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[[],[]]],[]]]

[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [[[[],[[[],[]],[]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[],[[],[]]],[]]]]

[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [[[],[[[],[]],[]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[],[[],[]]],[]]]

[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [[[],[[[],[]],[]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[],[[],[]]],[]]]

[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [[[],[[[],[]],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[[],[]]],[]]]

[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[[.,.],.],.]],.],.],.] => [[[[[],[[[[],[]],[]],[]]],[]],[]],[]] => [[],[[],[[],[[[],[[],[[],[]]]],[]]]]]

[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[[],[[[[],[]],[]],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[[],[[],[]]]],[]]]]

[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => [[[[],[[[[],[]],[]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[],[[],[]]]],[]]]]

[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],[[.,.],.]] => [[[],[[[[],[]],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[[],[]]]],[]]]

[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [[[],[[[[],[]],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[[],[]]]],[]]]

[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[[.,.],.],.],.]],.],.] => [[[[],[[[[[],[]],[]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[],[[],[]]]]],[]]]]

[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[[.,.],.],.],.]],[.,.]] => [[[],[[[[[],[]],[]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[],[[],[]]]]],[]]]

[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[.,.],.],.],.],.]],.] => [[[],[[[[[[],[]],[]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[],[[],[]]]]]],[]]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[.,.],.],.],.],.],.]] => [[],[[[[[[[],[]],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[[],[]]]]]]],[]]

[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[[[[.,.],.],.],.],[.,.]]] => [[],[[[[[[],[]],[]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[],[[],[]]]]]],[]]

[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[[[[.,.],.],.],[.,.]]],.] => [[[],[[[[[],[]],[]],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[[],[[],[]]]]],[]]]

[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [.,[[[[[.,.],.],.],[.,.]],.]] => [[],[[[[[[],[]],[]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[],[[],[]]]]]],[]]

[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [.,[[[[.,.],.],.],[[.,.],.]]] => [[],[[[[[],[]],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[[],[]]]]],[]]

[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [[],[[[[[],[]],[]],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[[],[[],[]]]]],[]]

[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [[[],[[[[],[]],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[[],[]]]],[]]]

[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[[[.,.],.],[.,.]],.]],.] => [[[],[[[[[],[]],[]],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[[],[[],[]]]]],[]]]

[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [.,[[[[[.,.],.],[.,.]],.],.]] => [[],[[[[[[],[]],[]],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[[],[[],[]]]]]],[]]

[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [[],[[[[[],[]],[]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[],[[],[]]]]],[]]

[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [.,[[[[.,.],.],[[.,.],.]],.]] => [[],[[[[[],[]],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[[],[]]]]],[]]

[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [.,[[[.,.],.],[[[.,.],.],.]]] => [[],[[[[],[]],[]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[],[[],[]]]],[]]

[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [[],[[[[],[]],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[[],[]]]],[]]

[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [[[],[[[[],[]],[]],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[[],[[],[]]]],[]]]

[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [[[[],[[[],[]],[[],[]]]],[]],[[],[]]] => [[[],[]],[[],[[[[],[]],[[],[]]],[]]]]

[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [[[[],[[[],[]],[[],[]]]],[[],[]]],[]] => [[],[[[],[]],[[[[],[]],[[],[]]],[]]]]

[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [[[],[[[],[]],[[],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[]],[[],[]]],[]]]

[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [[[],[[[],[]],[[],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[]],[[],[]]],[]]]

[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],[.,.]],.]],.],.] => [[[[],[[[[],[]],[[],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[]],[[],[]]]],[]]]]

[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [[[],[[[[],[]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[],[]]]],[]]]

[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],[.,.]],.],.]],.] => [[[],[[[[[],[]],[[],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[]],[[],[]]]]],[]]]

[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => [[],[[[[[[],[]],[[],[]]],[]],[]],[]]] => [[[],[[],[[],[[[],[]],[[],[]]]]]],[]]

[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [[],[[[[[],[]],[[],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[]],[[],[]]]]],[]]

[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [[[],[[[[],[]],[[],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[]],[[],[]]]],[]]]

[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [[],[[[[[],[]],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[[],[]]]]],[]]

[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [[],[[[[],[]],[[],[]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[],[]],[[],[]]]],[]]

[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [[],[[[[],[]],[[],[]]],[[],[[],[]]]]] => [[[[[],[]],[]],[[[],[]],[[],[]]]],[]]

[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [[[],[[[],[]],[[[],[]],[]]]],[[],[]]] => [[[],[]],[[[[],[[],[]]],[[],[]]],[]]]

[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[[.,.],.]],.]],.] => [[[],[[[[],[]],[[[],[]],[]]],[]]],[]] => [[],[[[],[[[],[[],[]]],[[],[]]]],[]]]

[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [[],[[[[],[]],[[[],[]],[]]],[[],[]]]] => [[[[],[]],[[[],[[],[]]],[[],[]]]],[]]

[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [.,[[.,.],[[[[.,.],.],.],.]]] => [[],[[[],[]],[[[[[],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[]]]]],[[],[]]],[]]

[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [[[],[[[],[]],[[[],[]],[[],[]]]]],[]] => [[],[[[[[],[]],[[],[]]],[[],[]]],[]]]

[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [[[[],[[[],[]],[[],[[],[]]]]],[]],[]] => [[],[[],[[[[[],[]],[]],[[],[]]],[]]]]

[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [[[],[[[],[]],[[],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[]],[[],[]]],[]]]

[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [[[],[[[[],[]],[[],[[],[]]]],[]]],[]] => [[],[[[],[[[[],[]],[]],[[],[]]]],[]]]

[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [[],[[[[[],[]],[[],[[],[]]]],[]],[]]] => [[[],[[],[[[[],[]],[]],[[],[]]]]],[]]

[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [[],[[[[],[]],[[],[[],[]]]],[[],[]]]] => [[[[],[]],[[[[],[]],[]],[[],[]]]],[]]

[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [[[],[[[],[]],[[],[[],[[],[]]]]]],[]] => [[],[[[[[[],[]],[]],[]],[[],[]]],[]]]

[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [[],[[[[],[]],[[],[[],[[],[]]]]],[]]] => [[[],[[[[[],[]],[]],[]],[[],[]]]],[]]

[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [[],[[[],[]],[[],[[],[[],[[],[]]]]]]] => [[[[[[[],[]],[]],[]],[]],[[],[]]],[]]

[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,.]]],.],.],.],.] => [[[[[[],[[],[[],[]]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[[],[]],[]],[]]]]]]

[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[],[[],[[],[]]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[[],[[],[[],[]]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [[[[],[[],[[],[]]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[[],[[],[[],[]]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[[],[[],[[],[]]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[[],[[],[[],[]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [[[[],[[],[[],[]]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [[[],[[],[[],[]]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [[[],[[],[[],[]]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [[[[],[[],[[],[]]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [[[],[[],[[],[]]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [[[],[[],[[],[]]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[[],[[],[[],[]]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[[],[]],[]],[]]]

[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,[.,.]],.]],.],.],.] => [[[[[],[[[],[[],[]]],[]]],[]],[]],[]] => [[],[[],[[],[[[],[[[],[]],[]]],[]]]]]

[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[],[[[],[[],[]]],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[[[],[]],[]]],[]]]]

[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [[[[],[[[],[[],[]]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[[],[]],[]]],[]]]]

[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [[[],[[[],[[],[]]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [[[],[[[],[[],[]]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,[.,.]],.],.]],.],.] => [[[[],[[[[],[[],[]]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[[],[]],[]]]],[]]]]

[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[[],[[[[],[[],[]]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[[],[]],[]]]],[]]]

[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,[.,.]],.],.],.]],.] => [[[],[[[[[],[[],[]]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[[],[]],[]]]]],[]]]

[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[.,[.,.]],.],.],.],.]] => [[],[[[[[[],[[],[]]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[[],[]],[]]]]]],[]]

[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [[],[[[[[],[[],[]]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[[],[]],[]]]]],[]]

[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [[[],[[[[],[[],[]]],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[[[],[]],[]]]],[]]]

[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [[],[[[[[],[[],[]]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[[],[]],[]]]]],[]]

[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [[],[[[[],[[],[]]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[[],[]],[]]]],[]]

[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [[[[],[[[],[[],[]]],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[[[],[]],[]]],[]]]]

[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [[[],[[[],[[],[]]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [[[],[[[[],[[],[]]],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[[[],[]],[]]]],[]]]

[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [[],[[[[[],[[],[]]],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[[[],[]],[]]]]],[]]

[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [[],[[[[],[[],[]]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[[],[]],[]]]],[]]

[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [[[],[[[],[[],[]]],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [[],[[[[],[[],[]]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[[],[]],[]]]],[]]

[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [[],[[[],[[],[]]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[[],[]],[]]],[]]

[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [[[],[[[],[[],[]]],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [[],[[[],[[],[]]],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[[[],[]],[]]],[]]

[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[[.,.],.]]],.],.],.] => [[[[[],[[],[[[],[]],[]]]],[]],[]],[]] => [[],[[],[[],[[[[],[[],[]]],[]],[]]]]]

[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[],[[],[[[],[]],[]]]],[]],[[],[]]] => [[[],[]],[[],[[[[],[[],[]]],[]],[]]]]

[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [[[[],[[],[[[],[]],[]]]],[[],[]]],[]] => [[],[[[],[]],[[[[],[[],[]]],[]],[]]]]

[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [[[],[[],[[[],[]],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[[],[]]],[]],[]]]

[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [[[],[[],[[[],[]],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[[],[]]],[]],[]]]

[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[[.,.],.]],.]],.],.] => [[[[],[[[],[[[],[]],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[[],[]]],[]]],[]]]]

[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[[],[[[],[[[],[]],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[[],[]]],[]]],[]]]

[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[[.,.],.]],.],.]],.] => [[[],[[[[],[[[],[]],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[[],[]]],[]]]],[]]]

[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [.,[[[[.,[[.,.],.]],.],.],.]] => [[],[[[[[],[[[],[]],[]]],[]],[]],[]]] => [[[],[[],[[],[[[],[[],[]]],[]]]]],[]]

[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [[],[[[[],[[[],[]],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[[],[]]],[]]]],[]]

[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [[[],[[[],[[[],[]],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[[],[]]],[]]],[]]]

[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [[],[[[[],[[[],[]],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[[],[]]],[]]]],[]]

[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [[],[[[],[[[],[]],[]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[],[[],[]]],[]]],[]]

[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [[],[[[],[[[],[]],[]]],[[],[[],[]]]]] => [[[[[],[]],[]],[[[],[[],[]]],[]]],[]]

[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [[[],[[],[[[[],[]],[]],[]]]],[[],[]]] => [[[],[]],[[[[],[[],[[],[]]]],[]],[]]]

[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[[.,.],.],.]],.]],.] => [[[],[[[],[[[[],[]],[]],[]]],[]]],[]] => [[],[[[],[[[],[[],[[],[]]]],[]]],[]]]

[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => [[],[[[[],[[[[],[]],[]],[]]],[]],[]]] => [[[],[[],[[[],[[],[[],[]]]],[]]]],[]]

[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [[],[[[],[[[[],[]],[]],[]]],[[],[]]]] => [[[[],[]],[[[],[[],[[],[]]]],[]]],[]]

[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[[[[.,.],.],.],.]],.]] => [[],[[[],[[[[[],[]],[]],[]],[]]],[]]] => [[[],[[[],[[],[[],[[],[]]]]],[]]],[]]

[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[[.,.],.],.],.],.]]] => [[],[[],[[[[[[],[]],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[[],[]]]]]],[]],[]]

[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [[],[[],[[[[[],[]],[]],[]],[[],[]]]]] => [[[[[],[]],[[],[[],[[],[]]]]],[]],[]]

[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [[[],[[],[[[[],[]],[]],[[],[]]]]],[]] => [[],[[[[[],[]],[[],[[],[]]]],[]],[]]]

[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [[],[[],[[[[],[]],[]],[[[],[]],[]]]]] => [[[[[],[[],[]]],[[],[[],[]]]],[]],[]]

[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [[],[[],[[[[],[]],[]],[[],[[],[]]]]]] => [[[[[[],[]],[]],[[],[[],[]]]],[]],[]]

[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [[[[],[[],[[[],[]],[[],[]]]]],[]],[]] => [[],[[],[[[[[],[]],[[],[]]],[]],[]]]]

[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [[[],[[],[[[],[]],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[[],[]]],[]],[]]]

[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [[[],[[[],[[[],[]],[[],[]]]],[]]],[]] => [[],[[[],[[[[],[]],[[],[]]],[]]],[]]]

[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [[],[[[],[[[],[]],[[],[]]]],[[],[]]]] => [[[[],[]],[[[[],[]],[[],[]]],[]]],[]]

[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [[[],[[],[[[[],[]],[[],[]]],[]]]],[]] => [[],[[[[],[[[],[]],[[],[]]]],[]],[]]]

[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [[],[[],[[[[[],[]],[[],[]]],[]],[]]]] => [[[[],[[],[[[],[]],[[],[]]]]],[]],[]]

[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [[],[[],[[[[],[]],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[[],[]]]],[]],[]]

[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [[],[[],[[[],[]],[[[[],[]],[]],[]]]]] => [[[[[],[[],[[],[]]]],[[],[]]],[]],[]]

[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [[[],[[],[[[],[]],[[],[[],[]]]]]],[]] => [[],[[[[[[],[]],[]],[[],[]]],[]],[]]]

[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [[],[[],[[[[],[]],[[],[[],[]]]],[]]]] => [[[[],[[[[],[]],[]],[[],[]]]],[]],[]]

[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [[],[[],[[[],[]],[[],[[],[[],[]]]]]]] => [[[[[[[],[]],[]],[]],[[],[]]],[]],[]]

[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [[[[[],[[],[[],[[],[]]]]],[]],[]],[]] => [[],[[],[[],[[[[[],[]],[]],[]],[]]]]]

[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[],[[],[[],[[],[]]]]],[]],[[],[]]] => [[[],[]],[[],[[[[[],[]],[]],[]],[]]]]

[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [[[[],[[],[[],[[],[]]]]],[[],[]]],[]] => [[],[[[],[]],[[[[[],[]],[]],[]],[]]]]

[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [[[],[[],[[],[[],[]]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[[],[]],[]],[]],[]]]

[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[[],[[],[[],[[],[]]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[[],[]],[]],[]],[]]]

[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [[[[],[[[],[[],[[],[]]]],[]]],[]],[]] => [[],[[],[[[],[[[[],[]],[]],[]]],[]]]]

[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[],[[[],[[],[[],[]]]],[]]],[[],[]]] => [[[],[]],[[[],[[[[],[]],[]],[]]],[]]]

[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [[[],[[[[],[[],[[],[]]]],[]],[]]],[]] => [[],[[[],[[],[[[[],[]],[]],[]]]],[]]]

[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [[[],[[[],[[],[[],[]]]],[[],[]]]],[]] => [[],[[[[],[]],[[[[],[]],[]],[]]],[]]]

[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [[],[[[[],[[],[[],[]]]],[[],[]]],[]]] => [[[],[[[],[]],[[[[],[]],[]],[]]]],[]]

[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [[],[[[],[[],[[],[]]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[[],[]],[]],[]]],[]]

[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [[[[],[[],[[[],[[],[]]],[]]]],[]],[]] => [[],[[],[[[[],[[[],[]],[]]],[]],[]]]]

[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[],[[],[[[],[[],[]]],[]]]],[[],[]]] => [[[],[]],[[[[],[[[],[]],[]]],[]],[]]]

[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [[[],[[[],[[[],[[],[]]],[]]],[]]],[]] => [[],[[[],[[[],[[[],[]],[]]],[]]],[]]]

[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [[[],[[],[[[[],[[],[]]],[]],[]]]],[]] => [[],[[[[],[[],[[[],[]],[]]]],[]],[]]]

[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [[],[[],[[[[[],[[],[]]],[]],[]],[]]]] => [[[[],[[],[[],[[[],[]],[]]]]],[]],[]]

[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [[[],[[],[[[],[[],[]]],[[],[]]]]],[]] => [[],[[[[[],[]],[[[],[]],[]]],[]],[]]]

[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [[],[[],[[[],[[],[]]],[[[],[]],[]]]]] => [[[[[],[[],[]]],[[[],[]],[]]],[]],[]]

[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [[],[[],[[[],[[],[]]],[[],[[],[]]]]]] => [[[[[[],[]],[]],[[[],[]],[]]],[]],[]]

[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [[[[],[[],[[],[[[],[]],[]]]]],[]],[]] => [[],[[],[[[[[],[[],[]]],[]],[]],[]]]]

[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [[[],[[],[[],[[[],[]],[]]]]],[[],[]]] => [[[],[]],[[[[[],[[],[]]],[]],[]],[]]]

[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [[[],[[[],[[],[[[],[]],[]]]],[]]],[]] => [[],[[[],[[[[],[[],[]]],[]],[]]],[]]]

[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [[[],[[],[[[],[[[],[]],[]]],[]]]],[]] => [[],[[[[],[[[],[[],[]]],[]]],[]],[]]]

[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [[],[[],[[[[],[[[],[]],[]]],[]],[]]]] => [[[[],[[],[[[],[[],[]]],[]]]],[]],[]]

[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [[],[[],[[[],[[[],[]],[]]],[[],[]]]]] => [[[[[],[]],[[[],[[],[]]],[]]],[]],[]]

[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [[[],[[],[[],[[[[],[]],[]],[]]]]],[]] => [[],[[[[[],[[],[[],[]]]],[]],[]],[]]]

[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [[],[[],[[[],[[[[],[]],[]],[]]],[]]]] => [[[[],[[[],[[],[[],[]]]],[]]],[]],[]]

[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [[],[[],[[],[[[[[],[]],[]],[]],[]]]]] => [[[[[],[[],[[],[[],[]]]]],[]],[]],[]]

[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [[],[[],[[],[[[[],[]],[]],[[],[]]]]]] => [[[[[[],[]],[[],[[],[]]]],[]],[]],[]]

[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [[[],[[],[[],[[[],[]],[[],[]]]]]],[]] => [[],[[[[[[],[]],[[],[]]],[]],[]],[]]]

[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [[],[[],[[],[[[[],[]],[[],[]]],[]]]]] => [[[[[],[[[],[]],[[],[]]]],[]],[]],[]]

[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [[],[[],[[],[[[],[]],[[[],[]],[]]]]]] => [[[[[[],[[],[]]],[[],[]]],[]],[]],[]]

[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [[],[[],[[],[[[],[]],[[],[[],[]]]]]]] => [[[[[[[],[]],[]],[[],[]]],[]],[]],[]]

[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [[[[],[[],[[],[[],[[],[]]]]]],[]],[]] => [[],[[],[[[[[[],[]],[]],[]],[]],[]]]]

[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[[],[[],[[],[[],[[],[]]]]]],[[],[]]] => [[[],[]],[[[[[[],[]],[]],[]],[]],[]]]

[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [[[],[[[],[[],[[],[[],[]]]]],[]]],[]] => [[],[[[],[[[[[],[]],[]],[]],[]]],[]]]

[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [[[],[[],[[[],[[],[[],[]]]],[]]]],[]] => [[],[[[[],[[[[],[]],[]],[]]],[]],[]]]

[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [[],[[],[[[],[[],[[],[]]]],[[],[]]]]] => [[[[[],[]],[[[[],[]],[]],[]]],[]],[]]

[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [[[],[[],[[],[[[],[[],[]]],[]]]]],[]] => [[],[[[[[],[[[],[]],[]]],[]],[]],[]]]

[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [[],[[],[[],[[[[],[[],[]]],[]],[]]]]] => [[[[[],[[],[[[],[]],[]]]],[]],[]],[]]

[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [[],[[],[[],[[[],[[],[]]],[[],[]]]]]] => [[[[[[],[]],[[[],[]],[]]],[]],[]],[]]

[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [[[],[[],[[],[[],[[[],[]],[]]]]]],[]] => [[],[[[[[[],[[],[]]],[]],[]],[]],[]]]

[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [[],[[],[[],[[[],[[[],[]],[]]],[]]]]] => [[[[[],[[[],[[],[]]],[]]],[]],[]],[]]

[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [[],[[],[[],[[],[[[[],[]],[]],[]]]]]] => [[[[[[],[[],[[],[]]]],[]],[]],[]],[]]

[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [[],[[],[[],[[],[[[],[]],[[],[]]]]]]] => [[[[[[[],[]],[[],[]]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[[],[[],[[],[[],[[],[[],[]]]]]]],[]] => [[],[[[[[[[],[]],[]],[]],[]],[]],[]]]

[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [[],[[],[[],[[],[[[],[[],[]]],[]]]]]] => [[[[[[],[[[],[]],[]]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [[],[[],[[],[[],[[],[[[],[]],[]]]]]]] => [[[[[[[],[[],[]]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [[],[[],[[],[[],[[],[[],[[],[]]]]]]]] => [[[[[[[[],[]],[]],[]],[]],[]],[]],[]]

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]]

[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [[[[[[[],[]],[]],[]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[],[[],[[],[]]]]]]]

[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [[[[[[[],[]],[]],[]],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[[],[[],[[],[]]]]]]]

[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [[[[[[[],[]],[]],[]],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[[],[[],[[],[]]]]]]]

[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [[[[[[],[]],[]],[]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[],[[],[[],[]]]]]]

[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [[[[[[[],[]],[]],[]],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[[],[[],[[],[]]]]]]]

[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [[[[[[[],[]],[]],[]],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]]

[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [[[[[[[],[]],[]],[]],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[[],[[],[[],[]]]]]]]

[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [[[[[],[]],[]],[]],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[[],[[],[[],[]]]]]

[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [[[[[],[]],[]],[]],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[[],[[],[[],[]]]]]

[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [[[[[],[]],[]],[]],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[[],[[],[[],[]]]]]

[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [[[[[[[[],[]],[]],[[],[]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[],[]],[[],[[],[]]]]]]]]

[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [[[[[[[],[]],[]],[[],[]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[],[]],[[],[[],[]]]]]]]

[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [[[[[[[],[]],[]],[[],[]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[],[]],[[],[[],[]]]]]]]

[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [[[[[[[],[]],[]],[[],[]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[],[]],[[],[[],[]]]]]]]

[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [[[[[],[]],[]],[[],[]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [[[[[],[]],[]],[[],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [[[[[],[]],[]],[[],[]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [[[[[],[]],[]],[[],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [[[[[[[],[]],[]],[[[],[]],[]]],[]],[]],[]] => [[],[[],[[],[[[],[[],[]]],[[],[[],[]]]]]]]

[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [[[[[],[]],[]],[[[],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[]]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [[[[[],[]],[]],[[[],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[]]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [[[[[],[]],[]],[[[[],[]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[],[]]]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [[[[[],[]],[]],[[[[[],[]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[],[]]]]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [[[[],[]],[]],[[[[[[],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[]]]]]],[[],[[],[]]]]

[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [[[[[],[]],[]],[[[],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[]]],[[],[[],[]]]]]

[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [[[[[],[]],[]],[[[],[]],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[[],[]]],[[],[[],[]]]]]

[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [[[[[[[],[]],[]],[[],[[],[]]]],[]],[]],[]] => [[],[[],[[],[[[[],[]],[]],[[],[[],[]]]]]]]

[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [[[[[],[]],[]],[[],[[],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[]],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [[[[[],[]],[]],[[],[[],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[]],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [[[[[],[]],[]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[],[[],[]]]]]

[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [[[[[],[]],[]],[[[],[[],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[]],[]]],[[],[[],[]]]]]

[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [[[[[[],[]],[]],[[],[[],[[],[]]]]],[]],[]] => [[],[[],[[[[[],[]],[]],[]],[[],[[],[]]]]]]

[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [[[[[],[]],[]],[[],[[],[[],[[],[]]]]]],[]] => [[],[[[[[[],[]],[]],[]],[]],[[],[[],[]]]]]

[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[],[]],[]],[[],[[],[[],[[],[[],[]]]]]]] => [[[[[[[],[]],[]],[]],[]],[]],[[],[[],[]]]]

[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [[[[[[[[],[]],[[],[]]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[[],[]],[[],[]]]]]]]]

[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [[[[[[[],[]],[[],[]]],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[[[],[]],[[],[]]]]]]]

[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [[[[[[[],[]],[[],[]]],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[[[],[]],[[],[]]]]]]]

[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [[[[[[[],[]],[[],[]]],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[[[],[]],[[],[]]]]]]]

[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [[[[[],[]],[[],[]]],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [[[[[],[]],[[],[]]],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [[[[[],[]],[[],[]]],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [[[[[],[]],[[],[]]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [[[[[[[],[]],[[],[]]],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[[[],[]],[[],[]]]]]]]

[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [[[[[],[]],[[],[]]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [[[[[],[]],[[],[]]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [[[[[],[]],[[],[]]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [[[[[],[]],[[],[]]],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [[[[[],[]],[[],[]]],[[[],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [[[[],[]],[[],[]]],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[[[],[]],[[],[]]]]

[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [[[[[],[]],[[],[]]],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [[[[[],[]],[[],[]]],[[],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[]],[[[],[]],[[],[]]]]]

[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [[[[],[]],[[],[]]],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[[[],[]],[[],[]]]]

[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [[[[[[[],[]],[[[],[]],[]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[],[[],[]]],[[],[]]]]]]]

[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [[[[[],[]],[[[],[]],[]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[],[[],[]]],[[],[]]]]]

[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [[[[[],[]],[[[],[]],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[[],[]]],[[],[]]]]]

[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [[[[[],[]],[[[],[]],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[[],[]]],[[],[]]]]]

[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [[[[[],[]],[[[],[]],[]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[],[[],[]]],[[],[]]]]]

[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [[[[],[]],[[[],[]],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[[],[]]],[[],[]]]]

[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [[[[[],[]],[[[[],[]],[]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]]

[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [[[[],[]],[[[[],[]],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[[],[]]]],[[],[]]]]

[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [[[[[],[]],[[[[[],[]],[]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[],[[],[]]]]],[[],[]]]]]

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [[[],[]],[[[[[[[],[]],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[[],[]]]]]]],[[],[]]]

[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [[[],[]],[[[[[],[]],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[[],[]]]]],[[],[]]]

[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [[[[],[]],[[[[],[]],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[[],[]]]],[[],[]]]]

[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [[[],[]],[[[[[],[]],[]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[],[[],[]]]]],[[],[]]]

[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [[[],[]],[[[[[],[]],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[[],[]]]]],[[],[]]]

[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [[[],[]],[[[[[],[]],[[],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[]],[[],[]]]]],[[],[]]]

[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [[[],[]],[[[[[],[]],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[[],[]]]]],[[],[]]]

[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [[[],[]],[[[],[]],[[[[[],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[]]]]],[[],[]]],[[],[]]]

[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]] => [[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]]

[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [[[],[]],[[[],[]],[[[[],[[],[]]],[]],[]]]] => [[[[],[[],[[[],[]],[]]]],[[],[]]],[[],[]]]

[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [[[],[]],[[[],[]],[[[],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[]]],[[],[]]],[[],[]]]

[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [[[[[[[],[]],[[],[[],[]]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[[],[]],[]],[[],[]]]]]]]

[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [[[[[],[]],[[],[[],[]]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[[],[]],[]],[[],[]]]]]

[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [[[[[],[]],[[],[[],[]]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[[],[]],[]],[[],[]]]]]

[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [[[[[],[]],[[],[[],[]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[],[]],[]],[[],[]]]]]

[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [[[[],[]],[[],[[],[]]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[[],[]],[]],[[],[]]]]

[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [[[[[],[]],[[],[[],[]]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[[],[]],[]],[[],[]]]]]

[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [[[[],[]],[[],[[],[]]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[[],[]],[]],[[],[]]]]

[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [[[[],[]],[[],[[],[]]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[[],[]],[]],[[],[]]]]

[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [[[[],[]],[[],[[],[]]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[[],[]],[]],[[],[]]]]

[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [[[[[],[]],[[[],[[],[]]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]]

[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [[[[],[]],[[[],[[],[]]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[[],[]],[]]],[[],[]]]]

[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [[[],[]],[[[[[],[[],[]]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[[],[]],[]]]]],[[],[]]]

[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [[[],[]],[[[[],[[],[]]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[[],[]],[]]]],[[],[]]]

[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [[[[[],[]],[[[],[[],[]]],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[[[],[]],[]]],[[],[]]]]]

[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [[[[],[]],[[[],[[],[]]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[[],[]],[]]],[[],[]]]]

[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[[],[]],[[[[],[[],[]]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[[],[]],[]]]],[[],[]]]

[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [[[],[]],[[[[],[[],[]]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[[],[]],[]]]],[[],[]]]

[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [[[],[]],[[[],[[],[]]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[[],[]],[]]],[[],[]]]

[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [[[],[]],[[[],[[],[]]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[[],[]],[]]],[[],[]]]

[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [[[],[]],[[[],[[],[]]],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[[[],[]],[]]],[[],[]]]

[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [[[[[],[]],[[],[[[],[]],[]]]],[[],[]]],[]] => [[],[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]]

[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [[[[],[]],[[],[[[],[]],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[[],[]]],[]],[[],[]]]]

[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [[[[[],[]],[[[],[[[],[]],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[[],[]]],[]]],[[],[]]]]]

[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [[[[],[]],[[[],[[[],[]],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[[],[]]],[]]],[[],[]]]]

[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[],[[],[]]],[]]],[[],[]]]

[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [[[[[[],[]],[[],[[],[[],[]]]]],[]],[]],[]] => [[],[[],[[],[[[[[],[]],[]],[]],[[],[]]]]]]

[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [[[],[]],[[[[[],[[],[[],[]]]],[]],[]],[]]] => [[[],[[],[[],[[[[],[]],[]],[]]]]],[[],[]]]

[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [[[],[]],[[[[],[[],[[],[]]]],[]],[[],[]]]] => [[[[],[]],[[],[[[[],[]],[]],[]]]],[[],[]]]

[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [[[],[]],[[[[],[[],[[],[]]]],[[],[]]],[]]] => [[[],[[[],[]],[[[[],[]],[]],[]]]],[[],[]]]

[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [[[],[]],[[[],[[],[[],[]]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[[],[]],[]],[]]],[[],[]]]

[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [[[],[]],[[[],[[],[[],[]]]],[[],[[],[]]]]] => [[[[[],[]],[]],[[[[],[]],[]],[]]],[[],[]]]

[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [[[],[]],[[[],[[[],[[],[]]],[]]],[[],[]]]] => [[[[],[]],[[[],[[[],[]],[]]],[]]],[[],[]]]

[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [[[[[],[]],[[],[[],[[],[[],[]]]]]],[]],[]] => [[],[[],[[[[[[],[]],[]],[]],[]],[[],[]]]]]

[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [[[[],[]],[[],[[],[[],[[],[]]]]]],[[],[]]] => [[[],[]],[[[[[[],[]],[]],[]],[]],[[],[]]]]

[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [[[[],[]],[[],[[],[[],[[],[[],[]]]]]]],[]] => [[],[[[[[[[],[]],[]],[]],[]],[]],[[],[]]]]

[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[],[]],[[],[[],[[],[[],[[],[[],[]]]]]]]] => [[[[[[[[],[]],[]],[]],[]],[]],[]],[[],[]]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [[[[[[[[],[[],[]]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[[],[]],[]]]]]]]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[[[[[[],[[],[]]],[]],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[[],[[[],[]],[]]]]]]]

[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [[[[[[[],[[],[]]],[]],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[[],[[[],[]],[]]]]]]]

[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [[[[[[],[[],[]]],[]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[],[[[],[]],[]]]]]]

[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [[[[[[],[[],[]]],[]],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[[],[[[],[]],[]]]]]]

[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [[[[[[[],[[],[]]],[]],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[[],[[[],[]],[]]]]]]]

[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [[[[[],[[],[]]],[]],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [[[[[],[[],[]]],[]],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [[[[[],[[],[]]],[]],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [[[[[],[[],[]]],[]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [[[[[[[],[[],[]]],[]],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[[],[[[],[]],[]]]]]]]

[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [[[[[],[[],[]]],[]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [[[[[],[[],[]]],[]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [[[[[],[[],[]]],[]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[],[[[],[]],[]]]]]

[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [[[[],[[],[]]],[]],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[[],[[[],[]],[]]]]

[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [[[[],[[],[]]],[]],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[[],[[[],[]],[]]]]

[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [[[[],[[],[]]],[]],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[[],[[[],[]],[]]]]

[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [[[[[[[],[[],[]]],[[],[]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[],[]],[[[],[]],[]]]]]]]

[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [[[[[],[[],[]]],[[],[]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[],[]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [[[[[],[[],[]]],[[],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [[[[[],[[],[]]],[[],[]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[],[]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [[[[],[[],[]]],[[],[]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [[[[],[[],[]]],[[],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [[[[[],[[],[]]],[[],[]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[],[]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [[[[],[[],[]]],[[],[]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [[[[],[[],[]]],[[],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [[[[[],[[],[]]],[[[],[]],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[[],[]]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [[[[[],[[],[]]],[[[],[]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [[[[],[[],[]]],[[[],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[]]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [[[[],[[],[]]],[[[],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[]]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [[[[[],[[],[]]],[[[[],[]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[],[]]]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [[[],[[],[]]],[[[[[[],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[]]]]]],[[[],[]],[]]]

[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [[[],[[],[]]],[[[[[],[]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[],[]]]]],[[[],[]],[]]]

[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [[[],[[],[]]],[[[[],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[]]]],[[[],[]],[]]]

[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [[[[[],[[],[]]],[[[],[]],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[[],[]]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[[[],[[],[]]],[[[],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[]]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[],[[],[]]],[[[[],[]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[],[]]]],[[[],[]],[]]]

[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [[[[],[[],[]]],[[[],[]],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[[],[]]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [[[],[[],[]]],[[[[],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[]]]],[[[],[]],[]]]

[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [[[],[[],[]]],[[[],[]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [[[],[[],[]]],[[[],[]],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[[],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [[[[[[],[[],[]]],[[],[[],[]]]],[]],[]],[]] => [[],[[],[[],[[[[],[]],[]],[[[],[]],[]]]]]]

[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [[[[[],[[],[]]],[[],[[],[]]]],[[],[]]],[]] => [[],[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]]

[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [[[[],[[],[]]],[[],[[],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[]],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [[[[],[[],[]]],[[],[[],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[]],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [[[[[],[[],[]]],[[[],[[],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[]],[]]],[[[],[]],[]]]]]

[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[],[[],[]]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[]],[]]]]

[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [[[[],[[],[]]],[[[[],[[],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[]],[]]]],[[[],[]],[]]]]

[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [[[],[[],[]]],[[[[[],[[],[]]],[]],[]],[]]] => [[[],[[],[[],[[[],[]],[]]]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [[[],[[],[]]],[[[[],[[],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[]],[]]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [[[[],[[],[]]],[[[],[[],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[]],[]]],[[[],[]],[]]]]

[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[],[[],[]]],[[[[],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[]]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [[[],[[],[]]],[[[],[[],[]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[],[]],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [[[],[[],[]]],[[[],[[],[]]],[[],[[],[]]]]] => [[[[[],[]],[]],[[[],[]],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [[[],[[],[]]],[[],[[[[[],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[]]]]],[]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [[[],[[],[]]],[[[],[[[],[]],[[],[]]]],[]]] => [[[],[[[[],[]],[[],[]]],[]]],[[[],[]],[]]]

[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [[[],[[],[]]],[[],[[[],[]],[[[],[]],[]]]]] => [[[[[],[[],[]]],[[],[]]],[]],[[[],[]],[]]]

[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [[[[[],[[],[]]],[[],[[],[[],[]]]]],[]],[]] => [[],[[],[[[[[],[]],[]],[]],[[[],[]],[]]]]]

[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [[[],[[],[]]],[[],[[[[],[[],[]]],[]],[]]]] => [[[[],[[],[[[],[]],[]]]],[]],[[[],[]],[]]]

[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [[[],[[],[]]],[[],[[[],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[]]],[]],[[[],[]],[]]]

[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [[[[],[[],[]]],[[],[[],[[],[[],[]]]]]],[]] => [[],[[[[[[],[]],[]],[]],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[[],[[],[]]],[[],[[],[[],[[],[[],[]]]]]]] => [[[[[[[],[]],[]],[]],[]],[]],[[[],[]],[]]]

[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [[[[[[[],[[[],[]],[]]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[[],[[],[]]],[]]]]]]]

[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [[[[[],[[[],[]],[]]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [[[[[],[[[],[]],[]]],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [[[[[],[[[],[]],[]]],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [[[[[],[[[],[]],[]]],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [[[[[],[[[],[]],[]]],[]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [[[[],[[[],[]],[]]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[[],[[],[]]],[]]]]

[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [[[[[],[[[],[]],[]]],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [[[[[],[[[],[]],[]]],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [[[[],[[[],[]],[]]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[[],[[],[]]],[]]]]

[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [[[[[],[[[],[]],[]]],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [[[[],[[[],[]],[]]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[[],[[],[]]],[]]]]

[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [[[],[[[],[]],[]]],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[[[],[[],[]]],[]]]

[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [[[],[[[],[]],[]]],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[[[],[[],[]]],[]]]

[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [[[],[[[],[]],[]]],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[[[],[[],[]]],[]]]

[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [[[],[[[],[]],[]]],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[[[],[[],[]]],[]]]

[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [[[[[],[[[],[]],[]]],[[],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[]],[[[],[[],[]]],[]]]]]

[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [[[[],[[[],[]],[]]],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[[[],[[],[]]],[]]]]

[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [[[],[[[],[]],[]]],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[[[],[[],[]]],[]]]

[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [[[],[[[],[]],[]]],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[[[],[[],[]]],[]]]

[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [[[[[],[[[[],[]],[]],[]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[],[[],[[],[]]]],[]]]]]

[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [[[[[],[[[[],[]],[]],[]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[],[[],[[],[]]]],[]]]]]

[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [[[[],[[[[],[]],[]],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[[],[[],[]]]],[]]]]

[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [[[[[],[[[[],[]],[]],[]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[],[[],[[],[]]]],[]]]]]

[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [[[[],[[[[],[]],[]],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[[],[[],[]]]],[]]]]

[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [[[],[[[[],[]],[]],[]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[],[[],[[],[]]]],[]]]

[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [[[[],[[[[],[]],[]],[]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[],[[],[[],[]]]],[]]]]

[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [[[],[[[[],[]],[]],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[[],[[],[]]]],[]]]

[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [[[[[],[[[[[],[]],[]],[]],[]]],[]],[]],[]] => [[],[[],[[],[[[],[[],[[],[[],[]]]]],[]]]]]

[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [[[],[[[[[],[]],[]],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[[],[[],[]]]]],[]]]

[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [[[],[[[[[],[]],[]],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[[],[[],[]]]]],[]]]

[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [[[[],[[[[[[],[]],[]],[]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[],[[],[[],[]]]]]],[]]]]

[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [[[],[[[[[[],[]],[]],[]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[],[[],[[],[]]]]]],[]]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [[[],[[[[[[[],[]],[]],[]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[],[[],[[],[]]]]]]],[]]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [[],[[[[[[[[],[]],[]],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[[],[[],[]]]]]]]],[]]

[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [[],[[[[[[[],[]],[]],[]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[],[[],[[],[]]]]]]],[]]

[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [[],[[[[[[[],[]],[]],[]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[],[[],[[],[]]]]]]],[]]

[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [[],[[[[[[],[]],[]],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[[],[[],[]]]]]],[]]

[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [[],[[[[[[],[]],[]],[]],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[[],[[],[[],[]]]]]],[]]

[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [[[],[[[[[],[]],[]],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[[],[[],[]]]]],[]]]

[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [[],[[[[[[[],[]],[]],[]],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[[],[[],[[],[]]]]]]],[]]

[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [[],[[[[[],[]],[]],[]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[],[[],[[],[]]]]],[]]

[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [[[],[[[[[],[]],[]],[]],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[[],[[],[[],[]]]]],[]]]

[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [[[[],[[[[],[]],[]],[[],[]]]],[]],[[],[]]] => [[[],[]],[[],[[[[],[]],[[],[[],[]]]],[]]]]

[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [[],[[[[[],[]],[]],[[],[]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[],[]],[[],[[],[]]]]],[]]

[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [[],[[[[],[]],[]],[[[[[],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[]]]]],[[],[[],[]]]],[]]

[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [[[[],[[[],[]],[[],[]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[],[]],[[],[]]],[]]]]

[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [[[],[[[],[]],[[],[]]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[[],[]],[[],[]]],[]]]

[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [[[[],[[[],[]],[[],[]]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[[],[]],[[],[]]],[]]]]

[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [[[],[[[],[]],[[],[]]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[[],[]],[[],[]]],[]]]

[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [[[],[[[],[]],[[],[]]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[[],[]],[[],[]]],[]]]

[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [[[],[[[[],[]],[[],[]]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[[],[]],[[],[]]]],[]]]

[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [[[],[[[[],[]],[[],[]]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[[],[]],[[],[]]]],[]]]

[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [[],[[[[[],[]],[[],[]]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[[],[]],[[],[]]]]],[]]

[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [[[],[[[[],[]],[[],[]]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[[],[]],[[],[]]]],[]]]

[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [[[],[[[[[],[]],[[],[]]],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[[[],[]],[[],[]]]]],[]]]

[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[],[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[[],[]],[[],[]]]]],[]]

[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [[],[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[[],[]],[[],[]]]],[]]

[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[],[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[[],[]],[[],[]]]],[]]

[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [[[],[[[[],[]],[[],[]]],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[[[],[]],[[],[]]]],[]]]

[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [[],[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[[[],[]],[[],[]]]],[]]

[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [[],[[[[],[]],[[],[]]],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[[[],[]],[[],[]]]],[]]

[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [[],[[[[],[]],[[],[]]],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[[[],[]],[[],[]]]],[]]

[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [[[],[[[],[]],[[[],[]],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[[],[]]],[[],[]]],[]]]

[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [[[],[[[],[]],[[[],[]],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[[],[]]],[[],[]]],[]]]

[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [[[],[[[[],[]],[[[],[]],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[[],[]]],[[],[]]]],[]]]

[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [[[],[[[[[],[]],[[[],[]],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[[],[]]],[[],[]]]]],[]]]

[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [[[],[[[[],[]],[[[],[]],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[[],[]]],[[],[]]]],[]]]

[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [[],[[[],[]],[[[[[[],[]],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[[],[]]]]]],[[],[]]],[]]

[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [[[],[[[],[]],[[[],[]],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[[],[]]],[[],[]]],[]]]

[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [[],[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]] => [[[[],[]],[[[[],[]],[[],[]]],[[],[]]]],[]]

[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [[],[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[[],[]]]],[[],[]]],[]]

[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [[],[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]] => [[[[[[],[]],[[],[]]],[[],[]]],[[],[]]],[]]

[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [[],[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]] => [[[[[],[[[],[]],[]]],[[],[]]],[[],[]]],[]]

[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [[[],[[[],[]],[[[],[[],[]]],[]]]],[[],[]]] => [[[],[]],[[[[],[[[],[]],[]]],[[],[]]],[]]]

[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [[],[[[],[]],[[[[],[[],[]]],[[],[]]],[]]]] => [[[[],[[[],[]],[[[],[]],[]]]],[[],[]]],[]]

[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [[],[[[[[],[]],[[],[[],[[],[]]]]],[]],[]]] => [[[],[[],[[[[[],[]],[]],[]],[[],[]]]]],[]]

[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [[],[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]] => [[[[],[]],[[[[[],[]],[]],[]],[[],[]]]],[]]

[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [[],[[[[],[]],[[],[[],[[],[[],[]]]]]],[]]] => [[[],[[[[[[],[]],[]],[]],[]],[[],[]]]],[]]

[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [[],[[[],[]],[[],[[],[[],[[],[[],[]]]]]]]] => [[[[[[[[],[]],[]],[]],[]],[]],[[],[]]],[]]

[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [[[[[[[],[[],[[],[]]]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[[[],[]],[]],[]]]]]]]

[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [[[[[],[[],[[],[]]]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [[[[[],[[],[[],[]]]],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [[[[[],[[],[[],[]]]],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [[[[[],[[],[[],[]]]],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [[[[],[[],[[],[]]]],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [[[[],[[],[[],[]]]],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [[[[[],[[],[[],[]]]],[]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [[[[],[[],[[],[]]]],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [[[[],[[],[[],[]]]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [[[[[],[[],[[],[]]]],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [[[[[],[[],[[],[]]]],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [[[[],[[],[[],[]]]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [[[[],[[],[[],[]]]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [[[[[],[[],[[],[]]]],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [[[[],[[],[[],[]]]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [[[[],[[],[[],[]]]],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [[[],[[],[[],[]]]],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [[[],[[],[[],[]]]],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [[[[],[[],[[],[]]]],[[[],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [[[],[[],[[],[]]]],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [[[],[[],[[],[]]]],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [[[],[[],[[],[]]]],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [[[[[],[[],[[],[]]]],[[],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[]],[[[[],[]],[]],[]]]]]

[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [[[[],[[],[[],[]]]],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [[[],[[],[[],[]]]],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [[[[],[[],[[],[]]]],[[],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[]],[[[[],[]],[]],[]]]]

[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [[[],[[],[[],[]]]],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [[[],[[],[[],[]]]],[[],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [[[],[[],[[],[]]]],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[[[[],[]],[]],[]]]

[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [[[],[[],[[],[]]]],[[],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[]],[[[[],[]],[]],[]]]

[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [[[[[],[[[],[[],[]]],[]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[],[[[],[]],[]]],[]]]]]

[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [[[[[],[[[],[[],[]]],[]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[],[[[],[]],[]]],[]]]]]

[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [[[[],[[[],[[],[]]],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[[[],[]],[]]],[]]]]

[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [[[[[],[[[],[[],[]]],[]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[],[[[],[]],[]]],[]]]]]

[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [[[[],[[[],[[],[]]],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[[[],[]],[]]],[]]]]

[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [[[],[[[],[[],[]]],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[],[[[],[[],[]]],[]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [[[],[[[],[[],[]]],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [[[],[[[[],[[],[]]],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[[[],[]],[]]]],[]]]

[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [[[],[[[[],[[],[]]],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[[[],[]],[]]]],[]]]

[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [[[],[[[[[],[[],[]]],[]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[],[[[],[]],[]]]]],[]]]

[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [[[],[[[[[],[[],[]]],[]],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[[],[[[],[]],[]]]]],[]]]

[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [[[],[[[[],[[],[]]],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[[[],[]],[]]]],[]]]

[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [[[],[[[[[],[[],[]]],[]],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[[],[[[],[]],[]]]]],[]]]

[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [[[],[[[[],[[],[]]],[]],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[[],[[[],[]],[]]]],[]]]

[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [[],[[[[],[[],[]]],[]],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[[],[[[],[]],[]]]],[]]

[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [[[[[],[[[],[[],[]]],[[],[]]]],[]],[]],[]] => [[],[[],[[],[[[[],[]],[[[],[]],[]]],[]]]]]

[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [[[[],[[[],[[],[]]],[[],[]]]],[]],[[],[]]] => [[[],[]],[[],[[[[],[]],[[[],[]],[]]],[]]]]

[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [[[],[[[],[[],[]]],[[],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[]],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [[[],[[[],[[],[]]],[[],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[]],[[[],[]],[]]],[]]]

[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[],[[[[],[[],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[]],[]]]],[]]]

[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [[[],[[[[[],[[],[]]],[[],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[]],[[[],[]],[]]]]],[]]]

[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [[[],[[[[],[[],[]]],[[],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[]],[[[],[]],[]]]],[]]]

[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[],[[[[[],[[],[]]],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[[[],[]],[]]]]],[]]

[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [[],[[[],[[],[]]],[[[[[],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[]]]]],[[[],[]],[]]],[]]

[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [[[],[[[],[[],[]]],[[[],[]],[[],[]]]]],[]] => [[],[[[[[],[]],[[],[]]],[[[],[]],[]]],[]]]

[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [[[[[],[[],[[[],[]],[]]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[[],[[],[]]],[]],[]]]]]

[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [[[[[],[[],[[[],[]],[]]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[[],[[],[]]],[]],[]]]]]

[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [[[[],[[],[[[],[]],[]]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[[],[[],[]]],[]],[]]]]

[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [[[[[],[[],[[[],[]],[]]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[[],[[],[]]],[]],[]]]]]

[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [[[[],[[],[[[],[]],[]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[],[[],[]]],[]],[]]]]

[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [[[[],[[],[[[],[]],[]]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[[],[[],[]]],[]],[]]]]

[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [[[],[[],[[[],[]],[]]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[[],[[],[]]],[]],[]]]

[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [[[],[[],[[[],[]],[]]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[[],[[],[]]],[]],[]]]

[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [[[[[],[[[],[[[],[]],[]]],[]]],[]],[]],[]] => [[],[[],[[],[[[],[[[],[[],[]]],[]]],[]]]]]

[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [[[[],[[[],[[[],[]],[]]],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[[[],[[],[]]],[]]],[]]]]

[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [[[],[[[],[[[],[]],[]]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[[],[[],[]]],[]]],[]]]

[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [[[],[[[],[[[],[]],[]]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[[],[[],[]]],[]]],[]]]

[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [[[],[[[[],[[[],[]],[]]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[[],[[],[]]],[]]]],[]]]

[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [[[],[[[[[],[[[],[]],[]]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[[],[[],[]]],[]]]]],[]]]

[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [[[],[[[[],[[[],[]],[]]],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[[[],[[],[]]],[]]]],[]]]

[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [[],[[[[[],[[[],[]],[]]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[[],[[],[]]],[]]]]],[]]

[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [[[],[[[],[[[],[]],[]]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[[],[[],[]]],[]]],[]]]

[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [[],[[[[[],[[[],[]],[]]],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[[[],[[],[]]],[]]]]],[]]

[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [[[],[[[],[[[],[]],[]]],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[[[],[[],[]]],[]]],[]]]

[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [[[],[[[],[[[],[]],[]]],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[[[],[[],[]]],[]]],[]]]

[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [[[],[[],[[[[],[]],[]],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[[],[[],[]]]],[]],[]]]

[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [[[],[[[],[[[[],[]],[]],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[[],[[],[]]]],[]]],[]]]

[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [[[],[[[],[[[[],[]],[]],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[[],[[],[]]]],[]]],[]]]

[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [[],[[[[],[[[[],[]],[]],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[[],[[],[]]]],[]]]],[]]

[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [[[],[[],[[[[[],[]],[]],[]],[]]]],[[],[]]] => [[[],[]],[[[[],[[],[[],[[],[]]]]],[]],[]]]

[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [[[],[[[],[[[[[],[]],[]],[]],[]]],[]]],[]] => [[],[[[],[[[],[[],[[],[[],[]]]]],[]]],[]]]

[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [[],[[[[],[[[[[],[]],[]],[]],[]]],[]],[]]] => [[[],[[],[[[],[[],[[],[[],[]]]]],[]]]],[]]

[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [[],[[[],[[[[[],[]],[]],[]],[]]],[[],[]]]] => [[[[],[]],[[[],[[],[[],[[],[]]]]],[]]],[]]

[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [[],[[[],[[[[[[],[]],[]],[]],[]],[]]],[]]] => [[[],[[[],[[],[[],[[],[[],[]]]]]],[]]],[]]

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [[],[[],[[[[[[[],[]],[]],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[[],[[],[]]]]]]],[]],[]]

[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [[[],[[],[[[[],[]],[]],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[[],[[],[]]]],[]],[]]]

[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [[[],[[[],[[[[],[]],[]],[[],[]]]],[]]],[]] => [[],[[[],[[[[],[]],[[],[[],[]]]],[]]],[]]]

[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [[],[[],[[[[],[]],[]],[[[[],[]],[]],[]]]]] => [[[[[],[[],[[],[]]]],[[],[[],[]]]],[]],[]]

[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [[],[[[[],[[[],[]],[[],[]]]],[]],[[],[]]]] => [[[[],[]],[[],[[[[],[]],[[],[]]],[]]]],[]]

[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [[],[[[[],[[[],[]],[[],[]]]],[[],[]]],[]]] => [[[],[[[],[]],[[[[],[]],[[],[]]],[]]]],[]]

[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [[],[[[],[[[[],[]],[[],[]]],[[],[]]]],[]]] => [[[],[[[[],[]],[[[],[]],[[],[]]]],[]]],[]]

[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [[],[[],[[[],[]],[[[[[],[]],[]],[]],[]]]]] => [[[[[],[[],[[],[[],[]]]]],[[],[]]],[]],[]]

[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [[],[[],[[[[[],[]],[[],[[],[]]]],[]],[]]]] => [[[[],[[],[[[[],[]],[]],[[],[]]]]],[]],[]]

[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [[],[[],[[[[],[]],[[],[[],[]]]],[[],[]]]]] => [[[[[],[]],[[[[],[]],[]],[[],[]]]],[]],[]]

[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [[],[[],[[[[],[]],[[],[[],[[],[]]]]],[]]]] => [[[[],[[[[[],[]],[]],[]],[[],[]]]],[]],[]]

[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [[],[[],[[[],[]],[[],[[],[[],[[],[]]]]]]]] => [[[[[[[[],[]],[]],[]],[]],[[],[]]],[]],[]]

[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [[[[[[],[[],[[],[[],[]]]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[[[],[]],[]],[]],[]]]]]]

[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [[[[[],[[],[[],[[],[]]]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[[[],[]],[]],[]],[]]]]]

[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [[[[[],[[],[[],[[],[]]]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[[[],[]],[]],[]],[]]]]]

[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [[[[],[[],[[],[[],[]]]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[[[],[]],[]],[]],[]]]]

[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [[[[],[[],[[],[[],[]]]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[[[],[]],[]],[]],[]]]]

[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [[[[[],[[],[[],[[],[]]]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[[[],[]],[]],[]],[]]]]]

[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [[[[],[[],[[],[[],[]]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[[],[]],[]],[]],[]]]]

[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [[[[],[[],[[],[[],[]]]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[[[],[]],[]],[]],[]]]]

[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [[[],[[],[[],[[],[]]]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[[[],[]],[]],[]],[]]]

[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [[[],[[],[[],[[],[]]]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[[[],[]],[]],[]],[]]]

[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [[[[],[[],[[],[[],[]]]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[[[],[]],[]],[]],[]]]]

[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [[[],[[],[[],[[],[]]]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[[[],[]],[]],[]],[]]]

[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [[[],[[],[[],[[],[]]]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[[[],[]],[]],[]],[]]]

[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [[[],[[],[[],[[],[]]]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[[[],[]],[]],[]],[]]]

[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [[[[[],[[[],[[],[[],[]]]],[]]],[]],[]],[]] => [[],[[],[[],[[[],[[[[],[]],[]],[]]],[]]]]]

[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [[[[],[[[],[[],[[],[]]]],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[[[[],[]],[]],[]]],[]]]]

[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [[[[],[[[],[[],[[],[]]]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[[[],[]],[]],[]]],[]]]]

[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [[[],[[[],[[],[[],[]]]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[[[],[]],[]],[]]],[]]]

[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [[[],[[[],[[],[[],[]]]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[[[],[]],[]],[]]],[]]]

[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [[[[],[[[[],[[],[[],[]]]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[[[],[]],[]],[]]]],[]]]]

[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [[[],[[[[],[[],[[],[]]]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[[[],[]],[]],[]]]],[]]]

[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [[[],[[[[[],[[],[[],[]]]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[[[],[]],[]],[]]]]],[]]]

[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [[[],[[[[],[[],[[],[]]]],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[[[[],[]],[]],[]]]],[]]]

[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [[[[],[[[],[[],[[],[]]]],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[[[[],[]],[]],[]]],[]]]]

[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [[[],[[[],[[],[[],[]]]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[[[],[]],[]],[]]],[]]]

[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [[[],[[[[],[[],[[],[]]]],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[[[[],[]],[]],[]]]],[]]]

[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [[[],[[[],[[],[[],[]]]],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[[[[],[]],[]],[]]],[]]]

[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [[[],[[[],[[],[[],[]]]],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[[[[],[]],[]],[]]],[]]]

[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [[[[[],[[],[[[],[[],[]]],[]]]],[]],[]],[]] => [[],[[],[[],[[[[],[[[],[]],[]]],[]],[]]]]]

[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [[[[],[[],[[[],[[],[]]],[]]]],[]],[[],[]]] => [[[],[]],[[],[[[[],[[[],[]],[]]],[]],[]]]]

[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [[[[],[[],[[[],[[],[]]],[]]]],[[],[]]],[]] => [[],[[[],[]],[[[[],[[[],[]],[]]],[]],[]]]]

[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [[[],[[],[[[],[[],[]]],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[[[],[]],[]]],[]],[]]]

[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [[[],[[],[[[],[[],[]]],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[[[],[]],[]]],[]],[]]]

[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [[[[],[[[],[[[],[[],[]]],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[[[],[]],[]]],[]]],[]]]]

[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [[[],[[[],[[[],[[],[]]],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[[[],[]],[]]],[]]],[]]]

[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [[[],[[[[],[[[],[[],[]]],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[[[],[]],[]]],[]]]],[]]]

[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [[[],[[[],[[[],[[],[]]],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[[[],[]],[]]],[]]],[]]]

[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[],[[[[],[[[],[[],[]]],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[[[],[]],[]]],[]]]],[]]

[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [[[[],[[],[[[[],[[],[]]],[]],[]]]],[]],[]] => [[],[[],[[[[],[[],[[[],[]],[]]]],[]],[]]]]

[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [[[],[[],[[[[],[[],[]]],[]],[]]]],[[],[]]] => [[[],[]],[[[[],[[],[[[],[]],[]]]],[]],[]]]

[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [[[],[[[],[[[[],[[],[]]],[]],[]]],[]]],[]] => [[],[[[],[[[],[[],[[[],[]],[]]]],[]]],[]]]

[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [[[[],[[],[[[],[[],[]]],[[],[]]]]],[]],[]] => [[],[[],[[[[[],[]],[[[],[]],[]]],[]],[]]]]

[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [[[],[[],[[[],[[],[]]],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[[[],[]],[]]],[]],[]]]

[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [[[],[[[],[[[],[[],[]]],[[],[]]]],[]]],[]] => [[],[[[],[[[[],[]],[[[],[]],[]]],[]]],[]]]

[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [[],[[],[[[],[[],[]]],[[[[],[]],[]],[]]]]] => [[[[[],[[],[[],[]]]],[[[],[]],[]]],[]],[]]

[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [[[[[],[[],[[],[[[],[]],[]]]]],[]],[]],[]] => [[],[[],[[],[[[[[],[[],[]]],[]],[]],[]]]]]

[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [[[[],[[],[[],[[[],[]],[]]]]],[]],[[],[]]] => [[[],[]],[[],[[[[[],[[],[]]],[]],[]],[]]]]

[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [[[[],[[],[[],[[[],[]],[]]]]],[[],[]]],[]] => [[],[[[],[]],[[[[[],[[],[]]],[]],[]],[]]]]

[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [[[],[[],[[],[[[],[]],[]]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[[],[[],[]]],[]],[]],[]]]

[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [[[],[[],[[],[[[],[]],[]]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[[],[[],[]]],[]],[]],[]]]

[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [[[[],[[[],[[],[[[],[]],[]]]],[]]],[]],[]] => [[],[[],[[[],[[[[],[[],[]]],[]],[]]],[]]]]

[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [[[],[[[],[[],[[[],[]],[]]]],[]]],[[],[]]] => [[[],[]],[[[],[[[[],[[],[]]],[]],[]]],[]]]

[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [[[],[[[[],[[],[[[],[]],[]]]],[]],[]]],[]] => [[],[[[],[[],[[[[],[[],[]]],[]],[]]]],[]]]

[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [[[],[[[],[[],[[[],[]],[]]]],[[],[]]]],[]] => [[],[[[[],[]],[[[[],[[],[]]],[]],[]]],[]]]

[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [[],[[[[],[[],[[[],[]],[]]]],[[],[]]],[]]] => [[[],[[[],[]],[[[[],[[],[]]],[]],[]]]],[]]

[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [[[[],[[],[[[],[[[],[]],[]]],[]]]],[]],[]] => [[],[[],[[[[],[[[],[[],[]]],[]]],[]],[]]]]

[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [[[],[[],[[[],[[[],[]],[]]],[]]]],[[],[]]] => [[[],[]],[[[[],[[[],[[],[]]],[]]],[]],[]]]

[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [[[],[[[],[[[],[[[],[]],[]]],[]]],[]]],[]] => [[],[[[],[[[],[[[],[[],[]]],[]]],[]]],[]]]

[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [[],[[],[[[[],[[[[],[]],[]],[]]],[]],[]]]] => [[[[],[[],[[[],[[],[[],[]]]],[]]]],[]],[]]

[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [[],[[],[[[],[[[[],[]],[]],[]]],[[],[]]]]] => [[[[[],[]],[[[],[[],[[],[]]]],[]]],[]],[]]

[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [[],[[],[[[],[[[[[],[]],[]],[]],[]]],[]]]] => [[[[],[[[],[[],[[],[[],[]]]]],[]]],[]],[]]

[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [[],[[],[[],[[[[[[],[]],[]],[]],[]],[]]]]] => [[[[[],[[],[[],[[],[[],[]]]]]],[]],[]],[]]

[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [[],[[],[[],[[[[],[]],[]],[[[],[]],[]]]]]] => [[[[[[],[[],[]]],[[],[[],[]]]],[]],[]],[]]

[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [[],[[[],[[[],[[[],[]],[[],[]]]],[]]],[]]] => [[[],[[[],[[[[],[]],[[],[]]],[]]],[]]],[]]

[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [[],[[],[[],[[[[[],[]],[[],[]]],[]],[]]]]] => [[[[[],[[],[[[],[]],[[],[]]]]],[]],[]],[]]

[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [[],[[],[[],[[[[],[]],[[],[]]],[[],[]]]]]] => [[[[[[],[]],[[[],[]],[[],[]]]],[]],[]],[]]

[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [[],[[],[[],[[[],[]],[[[[],[]],[]],[]]]]]] => [[[[[[],[[],[[],[]]]],[[],[]]],[]],[]],[]]

[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [[],[[],[[],[[[[],[]],[[],[[],[]]]],[]]]]] => [[[[[],[[[[],[]],[]],[[],[]]]],[]],[]],[]]

[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [[],[[],[[],[[[],[]],[[],[[],[[],[]]]]]]]] => [[[[[[[[],[]],[]],[]],[[],[]]],[]],[]],[]]

[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [[[[[],[[],[[],[[],[[],[]]]]]],[]],[]],[]] => [[],[[],[[],[[[[[[],[]],[]],[]],[]],[]]]]]

[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [[],[[[[],[[],[[],[[],[]]]]],[[],[]]],[]]] => [[[],[[[],[]],[[[[[],[]],[]],[]],[]]]],[]]

[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [[],[[],[[],[[[],[[],[]]],[[[],[]],[]]]]]] => [[[[[[],[[],[]]],[[[],[]],[]]],[]],[]],[]]

[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [[],[[],[[],[[[[],[[[],[]],[]]],[]],[]]]]] => [[[[[],[[],[[[],[[],[]]],[]]]],[]],[]],[]]

[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [[],[[],[[],[[[],[[[],[]],[]]],[[],[]]]]]] => [[[[[[],[]],[[[],[[],[]]],[]]],[]],[]],[]]

[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [[],[[],[[],[[[],[[[[],[]],[]],[]]],[]]]]] => [[[[[],[[[],[[],[[],[]]]],[]]],[]],[]],[]]

[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [[],[[],[[],[[],[[[[[],[]],[]],[]],[]]]]]] => [[[[[[],[[],[[],[[],[]]]]],[]],[]],[]],[]]

[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [[],[[],[[],[[],[[[[],[]],[]],[[],[]]]]]]] => [[[[[[[],[]],[[],[[],[]]]],[]],[]],[]],[]]

[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [[],[[],[[],[[],[[[[],[]],[[],[]]],[]]]]]] => [[[[[[],[[[],[]],[[],[]]]],[]],[]],[]],[]]

[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [[],[[],[[],[[],[[[],[]],[[[],[]],[]]]]]]] => [[[[[[[],[[],[]]],[[],[]]],[]],[]],[]],[]]

[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [[],[[],[[],[[],[[[],[]],[[],[[],[]]]]]]]] => [[[[[[[[],[]],[]],[[],[]]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [[[[],[[],[[],[[],[[],[[],[]]]]]]],[]],[]] => [[],[[],[[[[[[[],[]],[]],[]],[]],[]],[]]]]

[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [[],[[],[[],[[],[[[[],[[],[]]],[]],[]]]]]] => [[[[[[],[[],[[[],[]],[]]]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [[],[[],[[],[[],[[[],[[],[]]],[[],[]]]]]]] => [[[[[[[],[]],[[[],[]],[]]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [[],[[],[[],[[],[[[],[[[],[]],[]]],[]]]]]] => [[[[[[],[[[],[[],[]]],[]]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [[],[[],[[],[[],[[],[[[[],[]],[]],[]]]]]]] => [[[[[[[],[[],[[],[]]]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [[],[[],[[],[[],[[],[[[],[]],[[],[]]]]]]]] => [[[[[[[[],[]],[[],[]]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[[],[[],[[],[[],[[],[[],[[],[]]]]]]]],[]] => [[],[[[[[[[[],[]],[]],[]],[]],[]],[]],[]]]

[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [[],[[],[[],[[],[[],[[[],[[],[]]],[]]]]]]] => [[[[[[[],[[[],[]],[]]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[],[[],[[],[[],[[],[[],[[[],[]],[]]]]]]]] => [[[[[[[[],[[],[]]],[]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]] => [[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [[[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]],[]] => [[],[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]]]

[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[],[]],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]] => [[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[[],[]]]

[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [[[],[[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]]],[]] => [[],[[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]],[]]]

[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[[],[]],[[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]]] => [[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]],[[],[]]]

[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [[[[],[[],[[],[[],[[],[[],[[],[]]]]]]]],[]],[]] => [[],[[],[[[[[[[[],[]],[]],[]],[]],[]],[]],[]]]]

[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[[[],[]],[[],[[],[[],[[],[[],[[],[]]]]]]]],[]] => [[],[[[[[[[[],[]],[]],[]],[]],[]],[]],[[],[]]]]

[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [[[[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]],[]],[]] => [[],[[],[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]]]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [[],[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]],[]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [[],[[[[[[[[],[]],[]],[]],[]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[],[[],[[],[[],[]]]]]]]],[]]

[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [[],[[[[[[[[],[]],[]],[]],[]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[],[[],[[],[[],[]]]]]]]],[]]

[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [[],[[[[[[[],[]],[]],[]],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[[],[[],[[],[]]]]]]],[]]

[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [[],[[[],[]],[[[[[[[],[]],[]],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[[],[[],[]]]]]]],[[],[]]],[]]

[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [[],[[[[],[]],[[],[[],[[],[[],[[],[]]]]]]],[]]] => [[[],[[[[[[[],[]],[]],[]],[]],[]],[[],[]]]],[]]

[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[],[[[],[]],[[],[[],[[],[[],[[],[[],[]]]]]]]]] => [[[[[[[[[],[]],[]],[]],[]],[]],[]],[[],[]]],[]]

[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]] => [[],[[[[],[[],[]]],[[],[]]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]],[]]

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [[],[[[],[[[[[[[],[]],[]],[]],[]],[]],[]]],[]]] => [[[],[[[],[[],[[],[[],[[],[[],[]]]]]]],[]]],[]]

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [[],[[],[[[[[[[[],[]],[]],[]],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[[],[[],[[],[]]]]]]]],[]],[]]

[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [[],[[],[[[],[]],[[[[[[],[]],[]],[]],[]],[]]]]] => [[[[[],[[],[[],[[],[[],[]]]]]],[[],[]]],[]],[]]

[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [[],[[],[[[[],[]],[[],[[],[[],[[],[]]]]]],[]]]] => [[[[],[[[[[[],[]],[]],[]],[]],[[],[]]]],[]],[]]

[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [[],[[],[[[],[]],[[],[[],[[],[[],[[],[]]]]]]]]] => [[[[[[[[[],[]],[]],[]],[]],[]],[[],[]]],[]],[]]

[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]] => [[],[[[[],[[[],[[],[]]],[]]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[[],[[[],[]],[]]],[]]]],[]]

[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]] => [[],[[],[[[],[[[[[[],[]],[]],[]],[]],[]]],[]]]] => [[[[],[[[],[[],[[],[[],[[],[]]]]]],[]]],[]],[]]

[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [[],[[],[[],[[[[[[[],[]],[]],[]],[]],[]],[]]]]] => [[[[[],[[],[[],[[],[[],[[],[]]]]]]],[]],[]],[]]

[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [[],[[],[[],[[[],[]],[[[[[],[]],[]],[]],[]]]]]] => [[[[[[],[[],[[],[[],[]]]]],[[],[]]],[]],[]],[]]

[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [[],[[],[[],[[[[],[]],[[],[[],[[],[]]]]],[]]]]] => [[[[[],[[[[[],[]],[]],[]],[[],[]]]],[]],[]],[]]

[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [[],[[],[[],[[[],[]],[[],[[],[[],[[],[]]]]]]]]] => [[[[[[[[[],[]],[]],[]],[]],[[],[]]],[]],[]],[]]

[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[[[[.,.],.],.],.]],.]]]] => [[],[[],[[],[[[],[[[[[],[]],[]],[]],[]]],[]]]]] => [[[[[],[[[],[[],[[],[[],[]]]]],[]]],[]],[]],[]]

[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [[],[[],[[],[[],[[[[[[],[]],[]],[]],[]],[]]]]]] => [[[[[[],[[],[[],[[],[[],[]]]]]],[]],[]],[]],[]]

[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [[],[[],[[],[[],[[[],[]],[[[[],[]],[]],[]]]]]]] => [[[[[[[],[[],[[],[]]]],[[],[]]],[]],[]],[]],[]]

[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [[],[[],[[],[[],[[[[],[]],[[],[[],[]]]],[]]]]]] => [[[[[[],[[[[],[]],[]],[[],[]]]],[]],[]],[]],[]]

[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [[],[[],[[],[[],[[[],[]],[[],[[],[[],[]]]]]]]]] => [[[[[[[[[],[]],[]],[]],[[],[]]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]] => [[],[[],[[],[[],[[[],[[[[],[]],[]],[]]],[]]]]]] => [[[[[[],[[[],[[],[[],[]]]],[]]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [[],[[],[[],[[],[[],[[[[[],[]],[]],[]],[]]]]]]] => [[[[[[[],[[],[[],[[],[]]]]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [[],[[],[[],[[],[[],[[[[],[]],[[],[]]],[]]]]]]] => [[[[[[[],[[[],[]],[[],[]]]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [[],[[],[[],[[],[[],[[[],[]],[[[],[]],[]]]]]]]] => [[[[[[[[],[[],[]]],[[],[]]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] => [[],[[],[[],[[],[[],[[[],[]],[[],[[],[]]]]]]]]] => [[[[[[[[[],[]],[]],[[],[]]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => [[],[[],[[],[[],[[],[[[],[[[],[]],[]]],[]]]]]]] => [[[[[[[],[[[],[[],[]]],[]]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [[],[[],[[],[[],[[],[[],[[[[],[]],[]],[]]]]]]]] => [[[[[[[[],[[],[[],[]]]],[]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [[],[[],[[],[[],[[],[[],[[[],[]],[[],[]]]]]]]]] => [[[[[[[[[],[]],[[],[]]],[]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [[],[[],[[],[[],[[],[[],[[[],[[],[]]],[]]]]]]]] => [[[[[[[[],[[[],[]],[]]],[]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [[],[[],[[],[[],[[],[[],[[],[[[],[]],[]]]]]]]]] => [[[[[[[[[],[[],[]]],[]],[]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[],[[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]]] => [[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]],[]]

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]]]

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [[[],[]],[[[[[[[[],[]],[]],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[[],[[],[]]]]]]]],[[],[]]]

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [[[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]]]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [[],[[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]]],[]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [[],[[[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]]]],[]]

[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [[[[[[[[[],[]],[[],[]]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[[],[]],[[],[]]]]]]]]]

[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [[[[[[[[],[]],[[],[[],[]]]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[[[],[]],[]],[[],[]]]]]]]]

[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [[[[[[[],[]],[[],[[],[[],[]]]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[[[],[]],[]],[]],[[],[]]]]]]]

[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [[[[[[],[]],[[],[[],[[],[[],[]]]]]],[]],[]],[]] => [[],[[],[[],[[[[[[],[]],[]],[]],[]],[[],[]]]]]]

[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [[[[[],[]],[[],[[],[[],[[],[[],[]]]]]]],[]],[]] => [[],[[],[[[[[[[],[]],[]],[]],[]],[]],[[],[]]]]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [[[[[[[[[],[[],[]]],[]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[],[[[],[]],[]]]]]]]]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [[[[[[[[],[[],[]]],[]],[]],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[[],[[],[[[],[]],[]]]]]]]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [[[[[[[[],[[],[]]],[]],[]],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[[],[[],[[[],[]],[]]]]]]]]

[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [[[[[[[[],[[],[[],[]]]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[[[],[]],[]],[]]]]]]]]

[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [[[[[[[],[[],[[],[[],[]]]]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[[[[],[]],[]],[]],[]]]]]]]

[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [[[[[[],[[],[[],[[],[[],[]]]]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[[[[],[]],[]],[]],[]],[]]]]]]

[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [[[[[],[[],[[],[[],[[],[[],[]]]]]]],[]],[]],[]] => [[],[[],[[],[[[[[[[],[]],[]],[]],[]],[]],[]]]]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [[[[[[[[[[],[[],[]]],[]],[]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[],[[],[[[],[]],[]]]]]]]]]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [[[[[[[[[],[[],[]]],[]],[]],[]],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[[],[[],[[],[[[],[]],[]]]]]]]]]

[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]]]

[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [[[[[[[[[],[[],[[],[]]]],[]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[],[[[[],[]],[]],[]]]]]]]]]

[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [[[[[[[[],[[],[[],[[],[]]]]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[[[[],[]],[]],[]],[]]]]]]]]

[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [[[[[[[],[[],[[],[[],[[],[]]]]]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[[[[[],[]],[]],[]],[]],[]]]]]]]

[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [[[[[[],[[],[[],[[],[[],[[],[]]]]]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[[[[[],[]],[]],[]],[]],[]],[]]]]]]

[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [[[[[],[[],[[],[[],[[],[[],[[],[]]]]]]]],[]],[]],[]] => [[],[[],[[],[[[[[[[[],[]],[]],[]],[]],[]],[]],[]]]]]

[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [[],[[],[[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]]]] => [[[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]],[]],[]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [[[],[[[[[[[[],[]],[]],[]],[]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[],[[],[[],[[],[]]]]]]]],[]]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [[[[[[[[[[[],[[],[]]],[]],[]],[]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[],[[],[[],[[[],[]],[]]]]]]]]]]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [[[[[[[],[[],[]]],[]],[]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[],[[],[[[],[]],[]]]]]]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [[],[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]],[]]

[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [[],[[],[[],[[],[[],[[],[[],[[[],[]],[[],[]]]]]]]]]] => [[[[[[[[[[],[]],[[],[]]],[]],[]],[]],[]],[]],[]],[]]

[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[],[[[],[]],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]]] => [[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[[],[]]],[]]

[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [[],[[],[[],[[],[[],[[],[[],[[],[[[],[]],[]]]]]]]]]] => [[[[[[[[[[],[[],[]]],[]],[]],[]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] => [[],[[],[[],[[],[[],[[],[[[],[]],[[],[[],[]]]]]]]]]] => [[[[[[[[[[],[]],[]],[[],[]]],[]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [[],[[],[[],[[],[[],[[[],[]],[[],[[],[[],[]]]]]]]]]] => [[[[[[[[[[],[]],[]],[]],[[],[]]],[]],[]],[]],[]],[]]

[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [[],[[],[[],[[],[[[],[]],[[],[[],[[],[[],[]]]]]]]]]] => [[[[[[[[[[],[]],[]],[]],[]],[[],[]]],[]],[]],[]],[]]

[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] => [[],[[],[[],[[[],[]],[[],[[],[[],[[],[[],[]]]]]]]]]] => [[[[[[[[[[],[]],[]],[]],[]],[]],[[],[]]],[]],[]],[]]

[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[],[[],[[[],[]],[[],[[],[[],[[],[[],[[],[]]]]]]]]]] => [[[[[[[[[[],[]],[]],[]],[]],[]],[]],[[],[]]],[]],[]]

[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [[],[[],[[],[[[[[[[[],[]],[]],[]],[]],[]],[]],[]]]]] => [[[[[],[[],[[],[[],[[],[[],[[],[]]]]]]]],[]],[]],[]]

[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [[[[[],[[[],[]],[[],[]]]],[[],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[]],[[[[],[]],[[],[]]],[]]]]]

[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => [[[[],[[[[],[]],[[],[]]],[[],[]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[],[]],[[[],[]],[[],[]]]],[]]]]

[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => [[[],[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[[],[]],[[[],[]],[[],[]]]]],[]]]

[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [[],[[[[[[],[]],[[],[]]],[[],[]]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]],[]]

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [[],[[],[[[[[[[[[],[]],[]],[]],[]],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[[],[[],[[],[[],[]]]]]]]]],[]],[]]

[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [[],[[],[[],[[],[[[[[[[],[]],[]],[]],[]],[]],[]]]]]] => [[[[[[],[[],[[],[[],[[],[[],[]]]]]]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [[],[[],[[],[[],[[],[[],[[],[[[[],[]],[]],[]]]]]]]]] => [[[[[[[[[],[[],[[],[]]]],[]],[]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [[],[[],[[],[[],[[],[[[[[[],[]],[]],[]],[]],[]]]]]]] => [[[[[[[],[[],[[],[[],[[],[]]]]]],[]],[]],[]],[]],[]]

[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [[],[[],[[],[[],[[],[[],[[[[[],[]],[]],[]],[]]]]]]]] => [[[[[[[[],[[],[[],[[],[]]]]],[]],[]],[]],[]],[]],[]]

[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[],[[[[[],[[],[]]],[[],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[]],[[[],[]],[]]]]],[]]]

[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[],[[[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]]],[]]

[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [[[],[[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]],[]]]

[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [[[],[[],[]]],[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]] => [[[[[[],[]],[[],[]]],[[],[]]],[[],[]]],[[[],[]],[]]]

[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [[[],[[[],[]],[[],[]]]],[[[],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[]]],[[[[],[]],[[],[]]],[]]]

[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [[[],[[[[],[]],[[],[]]],[[],[]]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[[],[]],[[[],[]],[[],[]]]],[]]]

[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [[[],[]],[[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]],[[],[]]]

[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[[],[[],[]]],[[],[]]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[]],[[[],[]],[]]]]]

[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[],[[[],[[],[]]],[]]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[[[],[]],[]]],[]]]]

[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[[],[[[[],[[[],[[],[]]],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[[[],[]],[]]],[]]]],[]]]

[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[],[[],[]]],[[[[],[[],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[]],[]]]],[[[],[]],[]]]]

[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [[],[[[[[],[[],[]]],[[[],[[],[]]],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[[[],[]],[]]],[[[],[]],[]]]]],[]]

[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[],[[[[],[[[[],[[],[]]],[[],[]]],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[[[],[]],[[[],[]],[]]]],[]]]],[]]

[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[],[[[[[],[[[],[[],[]]],[]]],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[[[],[[[],[]],[]]],[]]]]],[]]

[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]]]]

[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [[[[],[[[[],[[[],[[],[]]],[]]],[[],[]]],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[[[],[]],[[[],[[[],[]],[]]],[]]]],[]]]]

[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[[[],[[],[]]],[[],[]]],[[],[]]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[]],[[[],[]],[[[],[]],[]]]]]]

[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[[],[[[],[[],[]]],[]]],[[],[]]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[]],[[[],[[[],[]],[]]],[]]]]]

[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[[],[[],[]]],[[[],[[],[]]],[]]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[[[],[]],[]]],[[[],[]],[]]]]]

[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[],[[[[],[[],[]]],[[],[]]],[]]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[[[],[]],[[[],[]],[]]]],[]]]]

[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[[],[[[[[],[[],[]]],[[[],[[],[]]],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[[[],[]],[]]],[[[],[]],[]]]]],[]]]

[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [[[],[[[[],[[[[],[[],[]]],[[],[]]],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[[[],[]],[[[],[]],[]]]],[]]]],[]]]

[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[[],[[],[]]],[[],[]]],[[[[],[[],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[]],[]]]],[[[],[]],[[[],[]],[]]]]]

[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[],[[[],[[],[]]],[]]],[[[[],[[],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[]],[]]]],[[[],[[[],[]],[]]],[]]]]

[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [[[],[[[[[],[[[],[[],[]]],[]]],[[],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[]],[[[],[[[],[]],[]]],[]]]]],[]]]

[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[[],[[],[]]],[[[[[],[[],[]]],[[],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[]],[[[],[]],[]]]]],[[[],[]],[]]]]

[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[],[[[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]]],[]]]

[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [[[],[[[[],[[[],[[],[]]],[]]],[[],[]]],[]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[],[[[],[]],[[[],[[[],[]],[]]],[]]]],[]]]

[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [[],[[[[[],[[[],[[],[]]],[]]],[[[],[[],[]]],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[[[],[]],[]]],[[[],[[[],[]],[]]],[]]]]],[]]

[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [[],[[[[[[],[[],[]]],[[],[]]],[[[],[[],[]]],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[[[],[]],[]]],[[[],[]],[[[],[]],[]]]]]],[]]

[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [[],[[[[],[[[[[],[[],[]]],[[],[]]],[[],[]]],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[[[],[]],[[[],[]],[[[],[]],[]]]]],[]]]],[]]

[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[],[[[[[],[[],[]]],[[[[],[[],[]]],[[],[]]],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[[[],[]],[[[],[]],[]]]],[[[],[]],[]]]]],[]]

[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[],[[[[[[],[[],[]]],[[[],[[],[]]],[]]],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[[[],[[[],[]],[]]],[[[],[]],[]]]]]],[]]

[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [[],[[[[[],[[[[],[[],[]]],[[],[]]],[]]],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[[[],[[[],[]],[[[],[]],[]]]],[]]]]],[]]

[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [[],[[[[[[],[[[],[[],[]]],[]]],[[],[]]],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[[[],[]],[[[],[[[],[]],[]]],[]]]]]],[]]

[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[],[[[[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]]]],[]]

[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [[[[[],[[],[]]],[[[],[]],[[],[]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[],[]],[[],[]]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [[[[[],[[],[]]],[[],[]]],[[[],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]]

[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [[[[[],[[],[]]],[[],[]]],[[],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[]],[[[],[]],[[[],[]],[]]]]]

[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [[],[[[],[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]],[]]] => [[[],[[[[],[]],[[[],[]],[[[],[]],[[],[]]]]],[]]],[]]

[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[[],[[],[]]],[[],[]]],[[[[],[]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[],[]]]],[[[],[]],[[[],[]],[]]]]

[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[[],[[],[]]],[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[[],[]],[[],[]]]]],[[[],[]],[]]]

[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]] => [[],[[[[],[[],[]]],[]],[[[],[]],[[[],[[],[]]],[]]]]] => [[[[[],[[[],[]],[]]],[[],[]]],[[],[[[],[]],[]]]],[]]

[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [[],[[[[],[[[],[[],[]]],[]]],[]],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[[],[[[],[[[],[]],[]]],[]]]],[]]

[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [[],[[[[],[[[],[]],[[],[]]]],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[[[[],[]],[[],[]]],[]]]],[]]

[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => [[],[[[[],[[[],[[[],[]],[[],[]]]],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[[[[],[]],[[],[]]],[]]],[]]]],[]]

[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[[[.,[[.,[.,.]],.]],.],[[.,.],[[.,[.,.]],.]]]] => [[],[[[[],[[[],[[],[]]],[]]],[]],[[[],[]],[[[],[[],[]]],[]]]]] => [[[[[],[[[],[]],[]]],[[],[]]],[[],[[[],[[[],[]],[]]],[]]]],[]]

[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [.,[[[.,[[.,.],[.,.]]],.],[[.,[[.,.],[.,.]]],.]]] => [[],[[[[],[[[],[]],[[],[]]]],[]],[[[],[[[],[]],[[],[]]]],[]]]] => [[[[],[[[[],[]],[[],[]]],[]]],[[],[[[[],[]],[[],[]]],[]]]],[]]

[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[[.,.],[.,.]]]] => [[],[[[[],[[[],[[[],[]],[[],[]]]],[]]],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[[[],[[[[],[]],[[],[]]],[]]],[]]]],[]]

[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [.,[[[.,[[.,.],[[.,[.,.]],.]]],.],[[.,[.,.]],.]]] => [[],[[[[],[[[],[]],[[[],[[],[]]],[]]]],[]],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[[],[[[[],[[[],[]],[]]],[[],[]]],[]]]],[]]

[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[.,.],[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]] => [[[],[]],[[[[],[[],[]]],[]],[[[],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[]]],[[],[[[],[]],[]]]],[[],[]]]

[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [[],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]]] => [[[[[[[],[]],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[]]

[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]] => [[],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]]]] => [[[[[[[[],[]],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[]]

[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[.,.],[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]] => [[[],[]],[[[],[]],[[[[],[[],[]]],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[[[],[]],[]]]],[[],[]]],[[],[]]]

[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [[],[[[],[]],[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]]] => [[[[[[],[[[],[]],[]]],[[],[]]],[[],[]]],[[],[]]],[]]

[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],[.,.]] => [[[[],[[[],[[],[[],[]]]],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[[[[],[]],[]],[]]],[]]]]

[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [[],[[[],[[[],[[[],[[[],[]],[[],[]]]],[]]],[]]],[]]] => [[[],[[[],[[[],[[[[],[]],[[],[]]],[]]],[]]],[]]],[]]

[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => [[],[[[],[[[],[[[[],[]],[[],[]]],[[],[]]]],[]]],[]]] => [[[],[[[],[[[[],[]],[[[],[]],[[],[]]]],[]]],[]]],[]]

Map

to binary tree: left tree, up step, right tree, down step

Description

Return the binary tree corresponding to the Dyck path under the transformation left tree - up step - right tree - down step.
A Dyck path $D$ of semilength $n$ with $n > 1$ may be uniquely decomposed into $L 1 R 0$ for Dyck paths $L,R$ of respective semilengths $n_1,n_2$ with $n_1+n_2 = n-1$.
This map sends $D$ to the binary tree $T$ consisting of a root node with a left child according to $L$ and a right child according to $R$ and then recursively proceeds.
The base case of the unique Dyck path of semilength $1$ is sent to a single node.
This map may also be described as the unique map sending the Tamari orders on Dyck paths to the Tamari order on binary trees.

Map

to complete tree

Description

Return the same tree seen as an ordered tree. By default, leaves are transformed into actual nodes.

Map

left-right symmetry

Description

Return the left-right symmetrized tree of an ordered tree.