Identifier
Mp00018:
Binary trees
—left border symmetry⟶
Binary trees
Mp00012: Binary trees —to Dyck path: up step, left tree, down step, right tree⟶ Dyck paths
Mp00012: Binary trees —to Dyck path: up step, left tree, down step, right tree⟶ Dyck paths
Images
[.,.] => [.,.] => [1,0]
[.,[.,.]] => [.,[.,.]] => [1,0,1,0]
[[.,.],.] => [[.,.],.] => [1,1,0,0]
[.,[.,[.,.]]] => [.,[.,[.,.]]] => [1,0,1,0,1,0]
[.,[[.,.],.]] => [.,[[.,.],.]] => [1,0,1,1,0,0]
[[.,.],[.,.]] => [[.,[.,.]],.] => [1,1,0,1,0,0]
[[.,[.,.]],.] => [[.,.],[.,.]] => [1,1,0,0,1,0]
[[[.,.],.],.] => [[[.,.],.],.] => [1,1,1,0,0,0]
[.,[.,[.,[.,.]]]] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0]
[.,[.,[[.,.],.]]] => [.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0]
[.,[[.,.],[.,.]]] => [.,[[.,[.,.]],.]] => [1,0,1,1,0,1,0,0]
[.,[[.,[.,.]],.]] => [.,[[.,.],[.,.]]] => [1,0,1,1,0,0,1,0]
[.,[[[.,.],.],.]] => [.,[[[.,.],.],.]] => [1,0,1,1,1,0,0,0]
[[.,.],[.,[.,.]]] => [[.,[.,[.,.]]],.] => [1,1,0,1,0,1,0,0]
[[.,.],[[.,.],.]] => [[.,[[.,.],.]],.] => [1,1,0,1,1,0,0,0]
[[.,[.,.]],[.,.]] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0]
[[[.,.],.],[.,.]] => [[[.,[.,.]],.],.] => [1,1,1,0,1,0,0,0]
[[.,[.,[.,.]]],.] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0]
[[.,[[.,.],.]],.] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0]
[[[.,.],[.,.]],.] => [[[.,.],[.,.]],.] => [1,1,1,0,0,1,0,0]
[[[.,[.,.]],.],.] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0]
[[[[.,.],.],.],.] => [[[[.,.],.],.],.] => [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]
[.,[.,[[.,.],[.,.]]]] => [.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,1,0,0]
[.,[.,[[.,[.,.]],.]]] => [.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,0,0,1,0]
[.,[.,[[[.,.],.],.]]] => [.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,1,0,0,0]
[.,[[.,.],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,1,0,1,0,0]
[.,[[.,.],[[.,.],.]]] => [.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,0]
[.,[[.,[.,.]],[.,.]]] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,0,1,0,0,1,0]
[.,[[[.,.],.],[.,.]]] => [.,[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,1,0,0,0]
[.,[[.,[.,[.,.]]],.]] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,0,0,1,0,1,0]
[.,[[.,[[.,.],.]],.]] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,0,0,1,1,0,0]
[.,[[[.,.],[.,.]],.]] => [.,[[[.,.],[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0]
[.,[[[.,[.,.]],.],.]] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,0,0,0,1,0]
[.,[[[[.,.],.],.],.]] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0]
[[.,.],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],.] => [1,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],.] => [1,1,0,1,0,1,1,0,0,0]
[[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => [1,1,0,1,1,0,1,0,0,0]
[[.,.],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,0,0]
[[.,.],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,0]
[[.,[.,.]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,.]] => [1,1,0,1,0,1,0,0,1,0]
[[.,[.,.]],[[.,.],.]] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0]
[[[.,.],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,1,0,1,0,0,0]
[[[.,.],.],[[.,.],.]] => [[[.,[[.,.],.]],.],.] => [1,1,1,0,1,1,0,0,0,0]
[[.,[.,[.,.]]],[.,.]] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0]
[[.,[[.,.],.]],[.,.]] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0]
[[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0]
[[[.,[.,.]],.],[.,.]] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0]
[[[[.,.],.],.],[.,.]] => [[[[.,[.,.]],.],.],.] => [1,1,1,1,0,1,0,0,0,0]
[[.,[.,[.,[.,.]]]],.] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0]
[[.,[.,[[.,.],.]]],.] => [[.,.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,1,0,0]
[[.,[[.,.],[.,.]]],.] => [[.,.],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,1,0,0]
[[.,[[.,[.,.]],.]],.] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0]
[[.,[[[.,.],.],.]],.] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0]
[[[.,.],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],.] => [1,1,1,0,0,1,0,1,0,0]
[[[.,.],[[.,.],.]],.] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0]
[[[.,[.,.]],[.,.]],.] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0]
[[[[.,.],.],[.,.]],.] => [[[[.,.],[.,.]],.],.] => [1,1,1,1,0,0,1,0,0,0]
[[[.,[.,[.,.]]],.],.] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0]
[[[.,[[.,.],.]],.],.] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0]
[[[[.,.],[.,.]],.],.] => [[[[.,.],.],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0]
[[[[.,[.,.]],.],.],.] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0]
[[[[[.,.],.],.],.],.] => [[[[[.,.],.],.],.],.] => [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]
[.,[.,[.,[[.,.],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0]
[.,[.,[.,[[.,[.,.]],.]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0]
[.,[.,[.,[[[.,.],.],.]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,0]
[.,[.,[[.,.],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0]
[.,[.,[[.,.],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0]
[.,[.,[[.,[.,.]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,0,1,0]
[.,[.,[[[.,.],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,0,0]
[.,[.,[[.,[.,[.,.]]],.]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0]
[.,[.,[[.,[[.,.],.]],.]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,0]
[.,[.,[[[.,.],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,0]
[.,[.,[[[.,[.,.]],.],.]]] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0,1,0]
[.,[.,[[[[.,.],.],.],.]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,1,1,0,0,0,0]
[.,[[.,.],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,0]
[.,[[.,.],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,0]
[.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0]
[.,[[.,.],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0]
[.,[[.,.],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0]
[.,[[.,[.,.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,0]
[.,[[.,[.,.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,0,1,1,0,0,0,1,0]
[.,[[[.,.],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,1,0,1,0,1,0,0,0]
[.,[[[.,.],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,1,0,1,1,0,0,0,0]
[.,[[.,[.,[.,.]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0]
[.,[[.,[[.,.],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0]
[.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0]
[.,[[[.,[.,.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,0,1,0,0,0,1,0]
[.,[[[[.,.],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,1,1,0,1,0,0,0,0]
[.,[[.,[.,[.,[.,.]]]],.]] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0]
[.,[[.,[.,[[.,.],.]]],.]] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,0]
[.,[[.,[[.,.],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,0]
[.,[[.,[[.,[.,.]],.]],.]] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0]
[.,[[.,[[[.,.],.],.]],.]] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,0,0,1,1,1,0,0,0]
[.,[[[.,.],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,0]
[.,[[[.,.],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,1,0,0,1,1,0,0,0]
[.,[[[.,[.,.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0]
[.,[[[[.,.],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,1,1,0,0,1,0,0,0]
>>> Load all 2860 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0]
[.,[[[.,[[.,.],.]],.],.]] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0]
[.,[[[[.,.],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0]
[.,[[[[.,[.,.]],.],.],.]] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0,1,0]
[.,[[[[[.,.],.],.],.],.]] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0]
[[.,.],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,0]
[[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,0,0]
[[.,.],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,0]
[[.,.],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,0,1,0,1,1,1,0,0,0,0]
[[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0]
[[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0]
[[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,0,0]
[[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0]
[[.,.],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,0]
[[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0]
[[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0]
[[.,.],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,0,0]
[[.,.],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0]
[[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0]
[[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0]
[[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0]
[[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0]
[[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,0,0]
[[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,1,1,0,0,0,0]
[[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,1,1,0,1,0,0,0,0]
[[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [1,1,1,0,1,1,0,0,1,0,0,0]
[[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0]
[[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0]
[[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0]
[[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,1,0,0]
[[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0]
[[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0]
[[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0]
[[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,1,0,1,0,1,0,0,0,0]
[[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,1,1,0,1,1,0,0,0,0,0]
[[.,[.,[.,[.,.]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0]
[[.,[.,[[.,.],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0]
[[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0]
[[.,[[.,[.,.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0]
[[.,[[[.,.],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0]
[[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0]
[[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0]
[[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0]
[[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0]
[[[.,[.,[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0]
[[[.,[[.,.],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0]
[[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0]
[[[[.,[.,.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0]
[[[[[.,.],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,1,1,1,0,1,0,0,0,0,0]
[[.,[.,[.,[.,[.,.]]]]],.] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[[.,.],.]]]],.] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0]
[[.,[.,[[.,.],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0]
[[.,[.,[[.,[.,.]],.]]],.] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0]
[[.,[.,[[[.,.],.],.]]],.] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0]
[[.,[[.,.],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0]
[[.,[[.,.],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,[.,.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0]
[[.,[[[.,.],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0]
[[.,[[.,[.,[.,.]]],.]],.] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0]
[[.,[[.,[[.,.],.]],.]],.] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[[.,.],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[[.,[.,.]],.],.]],.] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0]
[[.,[[[[.,.],.],.],.]],.] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0]
[[[.,.],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,0]
[[[.,.],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,0,0]
[[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,0]
[[[.,.],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0]
[[[.,.],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0]
[[[.,[.,.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0]
[[[.,[.,.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0]
[[[[.,.],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,1,1,0,0,1,0,1,0,0,0]
[[[[.,.],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0]
[[[.,[.,[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0]
[[[.,[[.,.],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0]
[[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0]
[[[[.,[.,.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0]
[[[[[.,.],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],.] => [1,1,1,1,1,0,0,1,0,0,0,0]
[[[.,[.,[.,[.,.]]]],.],.] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0]
[[[.,[.,[[.,.],.]]],.],.] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0]
[[[.,[[.,.],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0]
[[[.,[[.,[.,.]],.]],.],.] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0]
[[[.,[[[.,.],.],.]],.],.] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0]
[[[[.,.],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0]
[[[[.,.],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0]
[[[[.,[.,.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0]
[[[[[.,.],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0]
[[[[.,[.,[.,.]]],.],.],.] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0]
[[[[.,[[.,.],.]],.],.],.] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0]
[[[[[.,.],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0]
[[[[[.,[.,.]],.],.],.],.] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0]
[[[[[[.,.],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],.] => [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]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [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]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [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]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [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]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [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]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [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]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [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]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [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]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[.,[.,[[[[[.,.],.],.],.],.]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [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]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [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]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [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]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[.,[[.,.],[[[[.,.],.],.],.]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [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]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [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]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[.,[[[.,.],.],[[[.,.],.],.]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [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]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [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]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[.,[[[[.,.],.],.],[[.,.],.]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [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]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [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]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[.,[[[[[.,.],.],.],.],[.,.]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [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]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [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]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[.,[[.,[[[[.,.],.],.],.]],.]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [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]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[.,.],[[[.,.],.],.]],.]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [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]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[.,[[[[.,.],.],[[.,.],.]],.]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[.,[[[[[.,.],.],.],[.,.]],.]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [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]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[.,[[[.,[[[.,.],.],.]],.],.]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [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]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[.,[[[[[.,.],.],[.,.]],.],.]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [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]
[.,[[[[[.,.],[.,.]],.],.],.]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[.,[[[[[.,[.,.]],.],.],.],.]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[.,[[[[[[.,.],.],.],.],.],.]] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [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]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [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]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [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]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[[.,.],[.,[[[[.,.],.],.],.]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[.,.],[[[.,.],.],.]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[[.,.],[[[.,.],.],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[[.,.],[[[[.,.],.],.],[.,.]]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [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]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[[.,.],.],.]],.]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[[.,.],[[[.,.],[[.,.],.]],.]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[[.,.],[[[[.,.],.],[.,.]],.]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [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]
[[.,.],[[[[.,.],[.,.]],.],.]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,.],[[[[.,[.,.]],.],.],.]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [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]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [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]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [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]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[[.,[.,.]],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [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]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[[.,.],.],[.,[[[.,.],.],.]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[[[.,.],.],[[.,.],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[[[.,.],.],[[[.,.],.],[.,.]]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [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]
[[[.,.],.],[[[.,.],[.,.]],.]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[[[.,.],.],[[[.,[.,.]],.],.]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [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]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[[[.,.],[.,.]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [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]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[[[.,[.,.]],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [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]
[[[[.,.],.],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[[[[.,.],.],.],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[[[[.,.],.],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [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]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[[.,[[[.,.],.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[[[.,.],[[.,.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[[[[.,.],.],[.,.]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [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]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[[[.,[[.,.],.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [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]
[[[[[.,.],.],.],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[[[[[.,.],.],.],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [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]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [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]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [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]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[[.,[[[[.,.],.],.],.]],[.,.]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [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]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[[[.,.],[[[.,.],.],.]],[.,.]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [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]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[[[[.,.],.],[[.,.],.]],[.,.]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [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]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[[[.,[[[.,.],.],.]],.],[.,.]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[[[[.,.],[[.,.],.]],.],[.,.]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[[[[[.,.],.],[.,.]],.],[.,.]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [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]
[[[[[.,.],[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [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]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [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]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [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]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[[.,[.,[[[[.,.],.],.],.]]],.] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [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]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[[.,.],.],.]]],.] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [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]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[[.,[[[.,.],.],[[.,.],.]]],.] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[[.,[[[[.,.],.],.],[.,.]]],.] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [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]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[[.,[[[.,.],.],.]],.]],.] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [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]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[.,[[[[.,.],.],[.,.]],.]],.] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [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]
[[.,[[[[.,.],[.,.]],.],.]],.] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[[.,[[[[.,[.,.]],.],.],.]],.] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[[.,[[[[[.,.],.],.],.],.]],.] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [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]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[[[.,.],[.,[[[.,.],.],.]]],.] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[[[.,.],[[.,.],[[.,.],.]]],.] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[[[.,.],[[[.,.],.],[.,.]]],.] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [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]
[[[.,.],[[[.,.],[.,.]],.]],.] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[[[.,[.,.]],.],.]],.] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[[[.,.],[[[[.,.],.],.],.]],.] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [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]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[[[[.,.],.],[.,[[.,.],.]]],.] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[[[[.,.],.],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[[[.,.],.],[[.,[.,.]],.]],.] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[[[.,.],.],[[[.,.],.],.]],.] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [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]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[[.,[[.,.],.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[[[[.,.],[.,.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [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]
[[[[[.,.],.],.],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[[[[[.,.],.],.],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[[[.,.],.],.]],[.,.]],.] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[[[[.,.],[[.,.],.]],[.,.]],.] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[[.,.],.],[.,.]],[.,.]],.] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [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]
[[[[[.,.],[.,.]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[[[[[.,[.,.]],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[[[[[[.,.],.],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [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]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[[[.,[.,[[[.,.],.],.]]],.],.] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [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]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[[[.,[[[.,.],.],[.,.]]],.],.] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [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]
[[[.,[[[.,.],[.,.]],.]],.],.] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[[[.,[[[.,[.,.]],.],.]],.],.] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[[[.,[[[[.,.],.],.],.]],.],.] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[[[[.,.],[.,[[.,.],.]]],.],.] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[[[[.,.],[[.,.],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[[[[.,.],[[.,[.,.]],.]],.],.] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[[[[.,.],[[[.,.],.],.]],.],.] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [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]
[[[[[.,.],.],[.,[.,.]]],.],.] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[[[[[.,.],.],[[.,.],.]],.],.] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [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]
[[[[[.,.],[.,.]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[[[[[.,[.,.]],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[[[[[[.,.],.],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [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]
[[[[.,[[.,.],[.,.]]],.],.],.] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[[[[.,[[.,[.,.]],.]],.],.],.] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[[[[.,[[[.,.],.],.]],.],.],.] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[[[[[.,.],[.,[.,.]]],.],.],.] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[[[[[.,.],[[.,.],.]],.],.],.] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[[[[.,[.,.]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[[[[[.,.],.],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[[[[[.,[.,[.,.]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[.,.]]] => [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]
[[[[[[.,.],[.,.]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[[[[[[.,[.,.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[[[[[[.,.],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],.] => [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]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
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[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
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[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [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]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [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]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [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]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [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]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [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]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [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]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [[[.,[[[.,.],[[.,.],.]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [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]
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [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]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [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]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [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]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [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]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [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]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [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]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [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]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [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]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [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]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [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]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [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]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [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]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [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]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [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]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [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]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [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]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [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]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [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]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [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]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [[[[.,[.,.]],.],[[[.,.],.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [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]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [[[[[.,[.,.]],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [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]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [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]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [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]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [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]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [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]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [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]
[[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [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]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [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]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [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]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [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]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [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]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [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]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [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]
[[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [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]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [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]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [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]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [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]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [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]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [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]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [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]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [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]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [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]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[[[.,[[[.,.],[[.,.],.]],.]],.],.] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [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]
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [[[.,.],.],[[[[.,.],.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [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]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [[[[[.,.],.],[[.,[.,.]],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [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]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [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]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [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]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [.,[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [.,[.,[.,[[.,[[[[.,.],.],.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]] => [[[[.,[[.,[.,[.,.]]],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[.,[[[[.,.],.],[.,.]],[[.,.],[.,.]]]] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[[[[.,.],[.,.]],[.,.]],[[.,.],[.,[.,.]]]] => [[[[.,[[.,[.,[.,.]]],.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[[[.,[.,.]],[.,.]],[[.,.],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[[[[.,.],[.,.]],[[.,.],.]],[[.,.],[.,[.,.]]]] => [[[[.,[[.,[.,[.,.]]],.]],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0]
[[[[[.,.],.],.],[.,.]],[[.,.],[.,[.,.]]]] => [[[[[.,[[.,[.,[.,.]]],.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[[[.,.],[[.,.],.]],[[.,.],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[[[.,.],[.,.]],[[[.,.],[.,[.,.]]],.]] => [[[.,[[[.,.],[.,[.,.]]],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[.,[[[.,.],[[.,.],.]],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],.]]] => [.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[.,[[[[[.,.],.],.],[.,.]],[[.,.],[.,.]]]] => [.,[[[[[.,[[.,[.,.]],.]],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[.,[[[[.,.],[.,.]],[[.,.],.]],[[.,.],[.,.]]]] => [.,[[[[.,[[.,[.,.]],.]],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => [[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => [[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => [[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => [[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.] => [[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.] => [[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.] => [[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.] => [[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[.,.],[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]] => [[.,[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]] => [[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]] => [[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]] => [[.,[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]] => [[.,[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[[.,.],[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]] => [[.,[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]] => [[.,[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[[.,.],[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]] => [[.,[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[[.,[[.,.],.]],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.] => [[.,.],[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[[.,[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]],.] => [[.,.],[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]],.] => [[.,.],[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[[.,[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]],.] => [[.,.],[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]],.] => [[.,.],[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[[.,[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]],.] => [[.,.],[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]],.] => [[.,.],[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[[.,[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]],.] => [[.,.],[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => [.,[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => [.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]] => [.,[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [.,[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[.,[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]] => [.,[[[.,[[.,.],[[.,[.,.]],.]]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]] => [[.,[[.,.],[[.,.],[[.,[.,.]],.]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]] => [[.,[[.,.],[[[.,[.,.]],[.,.]],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.] => [[.,.],[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.] => [[.,.],[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.] => [[.,.],[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.] => [[.,.],[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.] => [[.,.],[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]] => [[[.,[.,[[.,.],[[.,[.,.]],.]]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]] => [[[.,[.,[[[.,[.,.]],[.,.]],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]] => [[[[.,[.,[[.,[.,.]],.]]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]] => [[[[.,[.,.]],[.,[[.,[.,.]],.]]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[.,[[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[.,[[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[.,[[.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]],.]] => [.,[[.,.],[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[.,[[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]],.]] => [.,[[.,.],[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[.,[[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]],.]] => [.,[[.,.],[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]],.]] => [.,[[.,.],[[[.,[[.,.],[[.,[.,.]],.]]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[.,[[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],.]] => [.,[[.,.],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[.,[[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]],.]] => [.,[[.,.],[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[.,[[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],.]] => [.,[[.,.],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]],.]] => [.,[[.,.],[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[.,[[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]],.]] => [.,[[.,.],[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[.,[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],.]] => [.,[[.,.],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[.,[[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]],.]] => [.,[[.,.],[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]
[.,[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.]] => [.,[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[[.,.],[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]]] => [.,[[[.,[[.,.],[[.,.],[[.,[.,.]],.]]]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[.,[[[.,.],[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]]] => [.,[[[.,[[.,.],[[[.,[.,.]],[.,.]],.]]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[.,[[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => [.,[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[.,[[[.,.],[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]]] => [.,[[[.,[[[.,[.,.]],.],[[.,[.,.]],.]]],[.,.]],.]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[.,[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[.,[[[.,[[.,.],[.,.]]],.],[[.,[[.,.],[.,.]]],.]]] => [.,[[[.,[[.,.],[[.,[.,.]],.]]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[.,[[[.,[[.,.],[.,.]]],.],[[[.,.],[.,.]],[.,.]]]] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[.,[[[[.,.],[.,.]],[.,.]],[[.,[[.,.],[.,.]]],.]]] => [.,[[[[.,[[.,.],[[.,[.,.]],.]]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[.,[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]
[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]
[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[[.,.],[.,.]]]] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]] => [.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[.,[[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[.,[[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[.,.],[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[.,[[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[.,[[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[[.,[.,.]],.],[[.,[.,.]],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[.,[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[.,[[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]]] => [.,[[[[.,[.,.]],[[.,.],[[.,[.,.]],.]]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[.,[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]] => [.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[.,[[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]],[.,.]]] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[.,[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]] => [.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[.,[[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[.,[[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[.,[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]] => [.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[.,[[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]],[.,.]]] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]
[.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[.,.]],[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => [[.,[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => [[.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]] => [[.,[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[.,[.,.]],[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [[.,[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]] => [[.,[[[.,[[.,.],[[.,[.,.]],.]]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [[.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[.,.]],[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => [[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[[.,[.,.]],[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => [[.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]
[[.,[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]]],.] => [[.,.],[[.,[[.,.],[[.,.],[[.,[.,.]],.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]]],.] => [[.,.],[[.,[[.,.],[[[.,[.,.]],[.,.]],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[[.,[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]]],.] => [[.,.],[[.,[[[.,[.,.]],.],[[.,[.,.]],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[.,[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]],.] => [[.,.],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[[.,.],[[.,[.,.]],.]]]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[[[.,[.,.]],[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]],[.,.]] => [[[.,[.,.]],[[[.,[.,.]],.],[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => [[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[[.,[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.]],.] => [[.,.],[[.,.],[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.]],.] => [[.,.],[[.,.],[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[.,[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[[.,.],[[.,[.,.]],.]]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,.],[.,.]]],[[.,[[.,.],[.,.]]],.]] => [[[.,[[.,.],[[.,[.,.]],.]]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[.,.],[[.,[.,.]],.]]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[.,[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[.,[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.]],.] => [[.,.],[[.,.],[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]],.] => [[.,.],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[.,[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[[.,[[.,[.,.]],.]],[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[.,[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]],.] => [[.,.],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[[.,.],[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]
[[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.]],.] => [[.,.],[[.,.],[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[[.,[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.]],.] => [[.,.],[[.,.],[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]],.] => [[.,.],[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]]],.] => [[.,.],[[[.,[.,[[.,.],[[.,[.,.]],.]]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[[.,[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]]],.] => [[.,.],[[[.,[.,[[[.,[.,.]],[.,.]],.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[[.,[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]]],.] => [[.,.],[[[.,[.,[[.,[.,.]],.]]],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[[.,[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]]],.] => [[.,.],[[[[.,[.,[[.,[.,.]],.]]],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[[.,[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[[.,.],[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[.,[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[.,[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]]],.] => [[.,.],[[[[.,[.,.]],[.,[[.,[.,.]],.]]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[[.,[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]]],.] => [[.,.],[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.] => [[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[[.,.],[.,.]],[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]] => [[[.,[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]] => [[[.,[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[[[.,[.,.]],[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.] => [[[.,.],[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[[[.,.],[.,.]],[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]] => [[[.,[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]],[.,.]],.] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [[[.,[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[[[.,[[.,.],[.,.]]],.],[.,[[.,[[.,.],[.,.]]],.]]] => [[[.,[.,[[.,.],[[.,[.,.]],.]]]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[[[.,[[.,.],[.,.]]],.],[.,[[[.,.],[.,.]],[.,.]]]] => [[[.,[.,[[[.,[.,.]],[.,.]],.]]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[[[[.,.],[.,.]],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]] => [[[[.,[.,[[.,.],[[.,[.,.]],.]]]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[[[[.,.],[.,.]],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]] => [[[[.,[.,[[[.,[.,.]],[.,.]],.]]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],.],[[.,.],[[.,[.,.]],.]]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]
[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]
[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],[.,[[.,[.,.]],.]]],[.,.]],.] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,[[.,.],[.,.]]]] => [[[[.,[.,[[.,[.,.]],.]]],[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,[[.,.],[.,.]]]] => [[[[[.,[.,[[.,[.,.]],.]]],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.],[.,.]] => [[[.,[.,.]],.],[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]],[.,.]] => [[[[.,[.,.]],[.,[[.,.],[[.,[.,.]],.]]]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]],[.,.]] => [[[[.,[.,.]],[.,[[[.,[.,.]],[.,.]],.]]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]],[.,.]] => [[[[.,[.,.]],[.,[[.,[.,.]],.]]],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]],[.,.]] => [[[[[.,[.,.]],[.,[[.,[.,.]],.]]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[.,[[.,[.,.]],.]]],[.,.]],.] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [.,[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [.,[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => [.,[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => [.,[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => [.,[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => [.,[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]] => [.,[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => [.,[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => [.,[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => [.,[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => [.,[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [.,[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [.,[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [.,[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [.,[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [.,[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => [.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]] => [.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [.,[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [.,[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => [.,[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => [.,[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [.,[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => [.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [.,[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [[.,[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [[.,[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],[.,.]] => [1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],[.,.]]]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],[.,.]]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [[.,[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[.,[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]] => [[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[.,[[.,.],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[.,[[.,.],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]] => [.,[[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[.,.],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]] => [.,[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]] => [.,[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]] => [.,[[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],.],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[.,[[[.,[[.,[.,.]],.]],.],[[[.,[.,.]],[.,.]],.]]] => [.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],.],[[.,[.,.]],.]]] => [.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[.,[.,.]],.],[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [.,[[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[.,[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [.,[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [.,[[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [.,[[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [.,[[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]],[.,.]] => [[.,[.,.]],[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]]] => [[.,[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]
[[[[.,.],[.,.]],[[.,.],[.,[.,.]]]],.] => [[[[.,.],[[.,[.,[.,.]]],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[[[[.,.],.],[.,.]],[[.,.],[[.,.],[.,.]]]] => [[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[[[[.,.],.],[.,.]],[[.,.],[[.,.],.]]] => [[[[.,[[.,[[.,.],.]],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[[[[.,.],[.,.]],[[.,.],[[.,.],.]]],.] => [[[[.,.],[[.,[[.,.],.]],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.] => [[[[.,.],[[.,[[.,[.,.]],.]],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[[[[.,.],.],[.,.]],[[.,[.,.]],[[.,.],[.,.]]]] => [[[[.,[[.,[[.,[.,.]],.]],[.,.]]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[[[[.,.],.],[.,.]],[[.,.],[.,[.,[.,.]]]]] => [[[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[[[[.,.],.],[.,.]],[[.,[.,.]],[.,.]]] => [[[[.,[[.,[.,.]],[.,.]]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[[.,[[[.,.],.],[.,.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[[[[.,.],[.,.]],[[.,[.,.]],[.,.]]],.] => [[[[.,.],[[.,[.,.]],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0]
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[[[[.,.],[.,.]],[[.,.],[.,[.,[.,.]]]]],.] => [[[[.,.],[[.,[.,[.,[.,.]]]],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],[[.,[.,.]],[[.,.],[.,.]]]],.] => [[[[.,.],[[.,[[.,[.,.]],.]],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[[[[.,[[.,[.,[.,.]]],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[.,[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[[.,.],[[.,.],[.,.]]],.]],.]],.] => [[.,.],[[.,.],[[[.,.],[[.,[.,.]],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],.]],.] => [[.,.],[[[[.,.],[[.,[.,.]],.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]],.] => [[.,.],[[[.,.],[.,[[[.,.],[.,.]],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],.]],.] => [[.,.],[[[.,.],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[[[.,[[[.,.],[.,.]],.]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]],.] => [[[[.,.],[.,[[[.,.],[.,.]],.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]],.] => [[[.,.],[.,[[.,.],[[[.,.],[.,.]],.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[.,[[[.,.],[[.,.],[.,.]]],.]]],.] => [[[.,.],[.,[[[.,.],[[.,[.,.]],.]],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.] => [[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[[[.,.],[[.,.],[.,[[[.,.],[.,.]],.]]]],.] => [[[.,.],[[.,[.,[[[.,.],[.,.]],.]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.] => [[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[[.,[[.,[[[.,.],[.,.]],.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[[.,.],[[.,.],[.,.]]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]] => [[[[.,[[.,.],.]],[[.,[.,.]],.]],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[[[.,.],[.,[[[.,.],[.,.]],.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[[[.,.],[.,.]],.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,[[.,[.,.]],.]],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[.,[[[.,[[[.,.],[.,.]],.]],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],.]],.]] => [.,[[[[.,.],[[.,.],.]],[[.,[.,.]],.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[[.,.],[[.,[[[.,.],[.,.]],.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[.,[[.,[[[[.,.],[.,.]],[[.,.],.]],.]],.]] => [.,[[.,.],[[[[.,.],[[.,.],.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[.,[[[.,.],[[[.,.],[.,.]],[[.,.],.]]],.]] => [.,[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]] => [[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[[.,.],[.,[[[[.,.],[.,.]],[[.,.],.]],.]]] => [[.,[.,[[[[.,.],[[.,.],.]],[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]] => [[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],.] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[.,[[.,[[.,[[[.,.],[[.,.],.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[[.,.],[[.,.],.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[.,[[.,[[[.,.],[[.,.],[[.,.],.]]],.]],.]] => [.,[[.,.],[[[.,.],[[.,[[.,.],.]],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[.,[[[[[.,.],[.,.]],.],[[.,.],[.,.]]],.]] => [.,[[[[[.,.],[[.,[.,.]],.]],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]] => [.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]] => [.,[[[.,.],[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[[.,[[[.,.],[.,.]],.]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[[[.,.],[.,.]],.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0]
[[[[.,.],[[.,.],[.,.]]],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[[[[.,.],[.,.]],.],[.,[[[.,.],[.,.]],.]]] => [[[[.,[.,[[[.,.],[.,.]],.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[[[[.,.],[.,.]],.],[[.,.],[[.,.],[.,.]]]] => [[[[.,[[.,[[.,[.,.]],.]],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[[.,.],[.,[[.,[[[.,.],[[.,.],.]],.]],.]]] => [[.,[.,[[.,.],[[[.,.],[[.,.],.]],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[[.,.],[.,[[[.,.],[[.,.],[[.,.],.]]],.]]] => [[.,[.,[[[.,.],[[.,[[.,.],.]],.]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[[.,.],[[[[.,.],[.,.]],.],[[.,.],[.,.]]]] => [[.,[[[[.,[[.,[.,.]],.]],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[[.,.],[[.,.],[.,[[[.,.],[[.,.],.]],.]]]] => [[.,[[.,[.,[[[.,.],[[.,.],.]],.]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[.,[[[.,.],[[.,.],[.,.]]],.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[[.,.],[[.,[.,.]],.]],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[.,[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],.]],.]],.] => [[.,.],[[.,.],[[[[.,.],[[.,[.,.]],.]],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[[.,[[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]],.]],.] => [[.,.],[[.,.],[[[.,.],[.,[[[.,.],[.,.]],.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[[.,[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],.]],.]],.] => [[.,.],[[.,.],[[[.,.],[[.,[[.,[.,.]],.]],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[[.,[[[.,[[[.,.],[.,.]],.]],[[.,.],[.,.]]],.]],.] => [[.,.],[[[.,.],[[.,[.,.]],.]],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.]],.] => [[.,.],[[[[.,.],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[[.,[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]],.]],.] => [[.,.],[[[[.,.],[.,[[[.,.],[.,.]],.]]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[[.,[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.]],.] => [[.,.],[[[[.,.],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[[.,[[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]],.]],.] => [[.,.],[[[.,.],[.,[[.,.],[[[.,.],[.,.]],.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[.,[[[.,.],[.,[[[.,.],[[.,.],[.,.]]],.]]],.]],.] => [[.,.],[[[.,.],[.,[[[.,.],[[.,[.,.]],.]],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[.,[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]],.] => [[.,.],[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[[.,[[[.,.],[[.,.],[.,[[[.,.],[.,.]],.]]]],.]],.] => [[.,.],[[[.,.],[[.,[.,[[[.,.],[.,.]],.]]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[[.,[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]],.] => [[.,.],[[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[[[.,[[.,[[[.,.],[.,.]],.]],.]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[[[.,.],[[.,.],[.,.]]],.]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]]],.] => [[.,.],[[[[.,[[.,.],.]],[[.,[.,.]],.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[[[[.,.],[.,[[[.,.],[.,.]],.]]],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],[.,[[[.,.],[.,.]],.]]],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[[[.,[[[.,.],[.,.]],.]],[.,[[[.,.],[.,.]],.]]],.] => [[[.,.],[.,[[[.,.],[.,.]],.]]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0]
[[[[.,.],[[.,.],[.,.]]],[.,[[[.,.],[.,.]],.]]],.] => [[[[.,.],[.,[[[.,.],[.,.]],.]]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[[[.,[[[.,.],[.,.]],.]],[[.,.],[[.,.],[.,.]]]],.] => [[[.,.],[[.,[[.,[.,.]],.]],.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0]
[[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],.] => [[[[.,.],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[[[[.,.],[.,.]],[.,[[.,[[[.,.],[.,.]],.]],.]]],.] => [[[[.,.],[.,[[.,.],[[[.,.],[.,.]],.]]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],[.,[[[.,.],[[.,.],[.,.]]],.]]],.] => [[[[.,.],[.,[[[.,.],[[.,[.,.]],.]],.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.] => [[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],[[.,.],[.,[[[.,.],[.,.]],.]]]],.] => [[[[.,.],[[.,[.,[[[.,.],[.,.]],.]]],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]],.] => [[[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[[[.,.],[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]]],.] => [[[.,.],[.,[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[.,[[.,[[[.,.],[[.,.],[.,.]]],.]],.]]],.] => [[[.,.],[.,[[.,.],[[[.,.],[[.,[.,.]],.]],.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[[.,.],[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],.]]],.] => [[[.,.],[.,[[[[.,.],[[.,[.,.]],.]],[.,.]],.]]],.] => [1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[[[.,.],[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]]],.] => [[[.,.],[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[[[.,.],[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]],.] => [[[.,.],[.,[[[.,.],[[.,[[.,[.,.]],.]],.]],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[[[.,.],[[.,[[[.,.],[.,.]],.]],[[.,.],[.,.]]]],.] => [[[.,.],[[.,[[.,[.,.]],.]],[[[.,.],[.,.]],.]]],.] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],.] => [[[.,.],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.] => [1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]
[[[.,.],[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]]],.] => [[[.,.],[[[.,[.,[[[.,.],[.,.]],.]]],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],.] => [[[.,.],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[[[.,.],[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]]],.] => [[[.,.],[[.,[.,[[.,.],[[[.,.],[.,.]],.]]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[[[.,.],[[.,.],[.,[[[.,.],[[.,.],[.,.]]],.]]]],.] => [[[.,.],[[.,[.,[[[.,.],[[.,[.,.]],.]],.]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],.] => [[[.,.],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[[[.,.],[[.,.],[[.,.],[.,[[[.,.],[.,.]],.]]]]],.] => [[[.,.],[[.,[[.,[.,[[[.,.],[.,.]],.]]],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0]
[[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],.] => [[[.,.],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[[.,.],[[.,.],[.,.]]],.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[[[.,.],[[.,[.,.]],.]],.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[[.,.],[[.,[.,.]],.]],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],[.,[[[.,.],[.,.]],.]]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[[[.,[[[.,.],[.,.]],.]],[[.,.],[.,.]]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],[[[.,.],[.,.]],.]] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],.]] => [[[[.,[[.,.],.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,[[[.,.],[.,.]],.]]],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],.]] => [[[[.,[[.,.],.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[[.,.],[[[.,.],[.,.]],.]]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[.,[[[.,.],[[.,.],[.,.]]],.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[[[.,.],[[.,[.,.]],.]],.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],.]] => [[[.,[[.,.],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[[[.,.],[[.,.],[.,[[[.,.],[.,.]],.]]]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,[.,[[[.,.],[.,.]],.]]],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[.,[[[.,[[.,[[[.,.],[.,.]],.]],.]],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[.,[[[.,[[[.,.],[[.,.],[.,.]]],.]],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],[[[.,.],[[.,[.,.]],.]],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[[[.,.],[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],.]] => [[[[.,[[[.,.],[.,.]],.]],[[.,[.,.]],.]],[.,.]],.] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[.,[[[[.,.],[.,[[[.,.],[.,.]],.]]],[[.,.],.]],.]] => [.,[[[[.,.],[[.,.],.]],[.,[[[.,.],[.,.]],.]]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[.,[[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]],.]] => [.,[[[[.,.],[[.,.],.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[[.,.],[[.,[[.,[[[.,.],[.,.]],.]],.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[[.,.],[[[.,.],[.,.]],.]]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[.,.],[[.,[[[.,.],[[.,.],[.,.]]],.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[[[.,.],[[.,[.,.]],.]],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[[.,.],.]]] => [[[[.,[[.,[[.,.],.]],.]],[[.,[.,.]],.]],[.,.]],.] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]
[[.,.],[[[.,.],[.,[[[.,.],[.,.]],.]]],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],[.,[[[.,.],[.,.]],.]]],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],[[.,[[.,[.,.]],.]],.]],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[.,[[.,[[[.,[[[.,.],[.,.]],.]],[[.,.],.]],.]],.]] => [.,[[.,.],[[[.,.],[[.,.],.]],[[[.,.],[.,.]],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[.,[[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],.]],.]],.]] => [.,[[.,.],[[[[.,.],[[.,.],.]],[[.,[.,.]],.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[.,[[[.,.],[[.,[[[.,.],[.,.]],.]],[[.,.],.]]],.]] => [.,[[[.,.],[[.,[[.,.],.]],[[[.,.],[.,.]],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[.,[[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]],.]] => [.,[[[.,.],[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[[.,[[[.,.],[.,.]],.]],[[[.,.],[.,.]],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0]
[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],.]]] => [[[.,[[[.,[[.,.],.]],[.,.]],.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0]
[[.,.],[.,[[[.,[[[.,.],[.,.]],.]],[[.,.],.]],.]]] => [[.,[.,[[[.,.],[[.,.],.]],[[[.,.],[.,.]],.]]]],.] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[[.,.],[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],.]],.]]] => [[.,[.,[[[[.,.],[[.,.],.]],[[.,[.,.]],.]],.]]],.] => [1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[[.,.],[[.,.],[[.,[[[.,.],[.,.]],.]],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],[[[.,.],[.,.]],.]]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0]
[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]] => [[.,[[.,[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[.,[[.,[[.,[[[[.,.],[.,.]],[[.,.],.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[[[.,.],[[.,.],.]],[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[.,[[.,[[[.,.],[[[.,.],[.,.]],[[.,.],.]]],.]],.]] => [.,[[.,.],[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[.,[[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]],.]] => [.,[[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[.,[[[.,.],[.,[[[[.,.],[.,.]],[[.,.],.]],.]]],.]] => [.,[[[.,.],[.,[[[[.,.],[[.,.],.]],[.,.]],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[.,[[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]],.]] => [.,[[[.,.],[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[[[.,.],[.,.]],[[.,[[[.,.],[.,.]],.]],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],[[[.,.],[.,.]],.]]],[.,.]],.] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]] => [[[.,[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]
[[[.,.],[.,.]],[.,[[[[.,.],[.,.]],[[.,.],.]],.]]] => [[[.,[.,[[[[.,.],[[.,.],.]],[.,.]],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]] => [[[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0]
[[.,.],[.,[[.,[[[[.,.],[.,.]],[[.,.],.]],.]],.]]] => [[.,[.,[[.,.],[[[[.,.],[[.,.],.]],[.,.]],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[.,.],[.,[[[.,.],[[[.,.],[.,.]],[[.,.],.]]],.]]] => [[.,[.,[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]] => [[.,[[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[[.,.],[[.,.],[.,[[[[.,.],[.,.]],[[.,.],.]],.]]]] => [[.,[[.,[.,[[[[.,.],[[.,.],.]],[.,.]],.]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]]] => [[.,[[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[.,[[.,[[.,[[.,[[[.,.],[[.,.],.]],.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[[[.,.],[[.,.],.]],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[.,[[.,[[.,[[[.,.],[[.,.],[[.,.],.]]],.]],.]],.]] => [.,[[.,.],[[.,.],[[[.,.],[[.,[[.,.],.]],.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[.,[[.,[[[[[.,.],[.,.]],.],[[.,.],[.,.]]],.]],.]] => [.,[[.,.],[[[[[.,.],[[.,[.,.]],.]],.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[.,[[.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]],.]] => [.,[[.,.],[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[.,[[.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]],.]] => [.,[[.,.],[[[.,.],[[.,[[.,[[.,.],.]],.]],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[.,[[[[.,[[[.,.],[.,.]],.]],.],[[.,.],[.,.]]],.]] => [.,[[[[.,.],[[.,[.,.]],.]],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0]
[.,[[[[[.,.],[[.,.],[.,.]]],.],[[.,.],[.,.]]],.]] => [.,[[[[[.,.],[[.,[.,.]],.]],.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[.,[[[[[.,.],[.,.]],.],[.,[[[.,.],[.,.]],.]]],.]] => [.,[[[[[.,.],[.,[[[.,.],[.,.]],.]]],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[.,[[[[[.,.],[.,.]],.],[[.,.],[[.,.],[.,.]]]],.]] => [.,[[[[[.,.],[[.,[[.,[.,.]],.]],.]],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[.,[[[.,.],[.,[[.,[[[.,.],[[.,.],.]],.]],.]]],.]] => [.,[[[.,.],[.,[[.,.],[[[.,.],[[.,.],.]],.]]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[.,[[[.,.],[.,[[[.,.],[[.,.],[[.,.],.]]],.]]],.]] => [.,[[[.,.],[.,[[[.,.],[[.,[[.,.],.]],.]],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[.,[[[.,.],[[[[.,.],[.,.]],.],[[.,.],[.,.]]]],.]] => [.,[[[.,.],[[[[.,[[.,[.,.]],.]],.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[.,[[[.,.],[[.,.],[.,[[[.,.],[[.,.],.]],.]]]],.]] => [.,[[[.,.],[[.,[.,[[[.,.],[[.,.],.]],.]]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]] => [.,[[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[[[.,[[.,[[[.,.],[.,.]],.]],.]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[[[.,.],[[.,.],[.,.]]],.]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[.,[[[[[.,.],[.,.]],.],[[.,.],[.,.]]],[[.,.],.]]] => [.,[[[[[.,[[.,.],.]],[[.,[.,.]],.]],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]
[[[[.,.],[.,[[[.,.],[.,.]],.]]],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],[.,[[[.,.],[.,.]],.]]],.] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[[[[.,.],[[.,.],[[.,.],[.,.]]]],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],[[.,[[.,[.,.]],.]],.]],.] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[[[.,[[[.,.],[.,.]],.]],.],[.,[[[.,.],[.,.]],.]]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0]
[[[[.,.],[[.,.],[.,.]]],.],[.,[[[.,.],[.,.]],.]]] => [[[[.,[.,[[[.,.],[.,.]],.]]],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0]
[[[.,[[[.,.],[.,.]],.]],.],[[.,.],[[.,.],[.,.]]]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],[[[.,.],[.,.]],.]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0]
[[[[.,.],[[.,.],[.,.]]],.],[[.,.],[[.,.],[.,.]]]] => [[[[.,[[.,[[.,[.,.]],.]],.]],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0]
[[[[.,.],[.,.]],.],[.,[[.,[[[.,.],[.,.]],.]],.]]] => [[[[.,[.,[[.,.],[[[.,.],[.,.]],.]]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[[[[.,.],[.,.]],.],[.,[[[.,.],[[.,.],[.,.]]],.]]] => [[[[.,[.,[[[.,.],[[.,[.,.]],.]],.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0]
[[[.,.],[.,.]],[[[[.,.],[.,.]],.],[[.,.],[.,.]]]] => [[[.,[[[[.,[[.,[.,.]],.]],.],[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],.],[[.,.],[.,[[[.,.],[.,.]],.]]]] => [[[[.,[[.,[.,[[[.,.],[.,.]],.]]],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[[[[.,.],[.,.]],.],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0]
[[.,.],[.,[[.,[[.,[[[.,.],[[.,.],.]],.]],.]],.]]] => [[.,[.,[[.,.],[[.,.],[[[.,.],[[.,.],.]],.]]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[[.,.],[.,[[.,[[[.,.],[[.,.],[[.,.],.]]],.]],.]]] => [[.,[.,[[.,.],[[[.,.],[[.,[[.,.],.]],.]],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[[.,.],[.,[[[[[.,.],[.,.]],.],[[.,.],[.,.]]],.]]] => [[.,[.,[[[[[.,.],[[.,[.,.]],.]],.],[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[[.,.],[.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]]] => [[.,[.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,.],[.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]]] => [[.,[.,[[[.,.],[[.,[[.,[[.,.],.]],.]],.]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[[.,.],[[[.,[[[.,.],[.,.]],.]],.],[[.,.],[.,.]]]] => [[.,[[[.,[[.,[.,.]],.]],.],[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0]
[[.,.],[[[[.,.],[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [[.,[[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0]
[[.,.],[[[[.,.],[.,.]],.],[.,[[[.,.],[.,.]],.]]]] => [[.,[[[[.,[.,[[[.,.],[.,.]],.]]],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0]
[[.,.],[[[[.,.],[.,.]],.],[[.,.],[[.,.],[.,.]]]]] => [[.,[[[[.,[[.,[[.,[.,.]],.]],.]],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[[.,.],[[.,.],[.,[[.,[[[.,.],[[.,.],.]],.]],.]]]] => [[.,[[.,[.,[[.,.],[[[.,.],[[.,.],.]],.]]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,.],[[.,.],[.,[[[.,.],[[.,.],[[.,.],.]]],.]]]] => [[.,[[.,[.,[[[.,.],[[.,[[.,.],.]],.]],.]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[[.,.],[[.,.],[[[[.,.],[.,.]],.],[[.,.],[.,.]]]]] => [[.,[[.,[[[[.,[[.,[.,.]],.]],.],[.,.]],.]],.]],.] => [1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0]
[[.,.],[[.,.],[[.,.],[.,[[[.,.],[[.,.],.]],.]]]]] => [[.,[[.,[[.,[.,[[[.,.],[[.,.],.]],.]]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [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]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [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]
[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]
[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]
[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[.,[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]] => [.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[.,[.,[.,[[.,[[[[.,.],.],.],.]],.]]]] => [.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]] => [.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[.,[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[[.,.],[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[[.,.],[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]] => [[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[[.,.],[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]] => [[.,[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[[.,.],.],[.,[.,[.,[.,[[.,.],.]]]]]] => [[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[.,.],[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[[[.,.],[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[.,[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]],.] => [[.,.],[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[.,.]],[.,[[[.,[.,.]],[.,.]],.]]],.] => [[[.,.],[.,[[[.,.],[.,.]],[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]] => [.,[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]
[[[[.,[.,.]],.],[.,[[.,[.,.]],.]]],.] => [[[[.,.],[.,[[.,.],[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],.]],.] => [[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[[[[[[.,.],.],.],.],.],[[.,.],.]],.] => [[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[[[[.,.],.],.],.],[[[.,.],.],.]],.] => [[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[[[[[.,.],.],.],[[[[[.,.],.],.],.],.]],.] => [[[[[.,.],[[[[[.,.],.],.],.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[.,[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]] => [.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],.],[.,.]]] => [.,[[[[.,[.,.]],.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.] => [[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]],.] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]
[.,[.,[[[[[[.,[.,.]],.],.],.],.],.]]] => [.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[.,[[[.,.],[[.,[[.,[[.,.],.]],.]],.]],.]] => [.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[.,[[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] => [.,[[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[.,.],[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]] => [.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[[.,.],[[[.,.],[.,[[[.,.],[.,.]],.]]],.]] => [[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[[[[.,.],[.,[[[.,.],[.,.]],.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],.] => [[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]],.] => [[[[.,.],[[.,.],[.,.]]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[[[.,.],[.,[[[.,.],[.,.]],.]]],[[[.,.],[.,.]],.]] => [[[.,[[[.,.],[.,.]],.]],[.,[[[.,.],[.,.]],.]]],.] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.] => [[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[.,[.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]]],.] => [[.,.],[.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[.,[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[.,[[[[.,[[.,[.,[.,.]]],.]],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]
[[[[[[.,.],.],.],.],[[.,.],.]],[.,.]] => [[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]],.] => [[[.,.],[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]],.] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[.,.],.],.],.],[.,.]],[[.,.],.]] => [[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[.,[[.,[.,.]],[.,.]]],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[[[[[[[.,.],.],.],.],[[.,.],.]],.],.] => [[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[.,[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[.,[.,[[.,.],[.,[[[[.,.],.],.],.]]]]] => [.,[.,[[.,[.,[[[[.,.],.],.],.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[.,[[[[[[.,[.,.]],[.,.]],.],.],.],.]] => [.,[[[[[[.,.],.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[.,[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]] => [.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[[[[.,[[.,[.,.]],.]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[[[[[[.,[.,.]],[.,.]],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]
[[[[[.,[[.,[.,.]],.]],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[[[[.,[[[.,.],[.,.]],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[[.,[[.,[.,.]],.]],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]
Map
left border symmetry
Description
Return the tree where a symmetry has been applied recursively on all left borders. If a tree is made of three trees $T_1, T_2, T_3$ on its left border, it becomes $T_3, T_2, T_1$ where same symmetry has been applied to $T_1, T_2, T_3$.
Map
to Dyck path: up step, left tree, down step, right tree
Description
Return the associated Dyck path, using the bijection 1L0R.
This is given recursively as follows:
This is given recursively as follows:
- a leaf is associated to the empty Dyck Word
- a tree with children $l,r$ is associated with the Dyck path described by 1L0R where $L$ and $R$ are respectively the Dyck words associated with the trees $l$ and $r$.
searching the database
Sorry, this map was not found in the database.