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Identifier
Mp00141: Binary trees —pruning number to logarithmic height⟶ Dyck paths
Images
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>>> Load all 3940 entries. <<<
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[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
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[[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[[.,.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [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]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [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]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [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]
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [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]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [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]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [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]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[[.,[.,[[[[.,.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[[.,[[[.,.],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[[.,[[[.,.],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0]
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[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [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]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
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[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
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[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [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]
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [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]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [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]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [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]
[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [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]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [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]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [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]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [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]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [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]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [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]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [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]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [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]
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [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]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [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]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [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]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [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]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [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]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [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]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [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]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [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]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [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]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [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]
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [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]
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]
[[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [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]
[[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [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]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [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]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [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]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [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]
[[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [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]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [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]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [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]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [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]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [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]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [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]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [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]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [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]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [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]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [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]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[[[.,[[[.,.],[[.,.],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [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]
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [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]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[[[.,.],[.,.]],[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[[[[.,.],.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[[[[.,.],[.,.]],[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[[[[.,.],.],[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[[.,[[[.,.],.],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[[[[.,[[.,[.,[.,.]]],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[.,[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[[[.,[[.,[.,[.,.]]],.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[[[.,[[[.,.],[.,[.,.]]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[.,[[[.,[[.,[.,.]],.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[.,[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[.,[.,[.,[[.,[[[[.,.],.],.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[[[[.,[[[.,.],.],.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[[[[.,[[[[[.,.],.],.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [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]
[.,[[[[[[.,.],[.,[.,.]]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[.,[[[[[.,.],[.,[.,[.,.]]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[.,[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[.,[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[.,[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[.,[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[.,[[[[[[[.,.],.],.],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[.,[[[[[[.,.],.],.],.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[.,[[[[[.,.],.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[.,[[[[[[.,.],.],.],.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[.,[[[[[.,.],.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[[[[.,[[[[.,.],.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[.,[.,[[[[.,[[[.,.],.],.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[[.,.],[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[.,.],[.,[.,[.,[[[[.,.],.],.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[[.,.],[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[[[[[[.,.],.],.],.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[[.,[.,[.,[.,.]]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[[.,[.,[.,.]]],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[[.,[.,.]],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[[.,.],[[[[.,[.,[.,[.,.]]]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]
[[[.,[.,[.,[.,.]]]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0]
[[[.,[.,[.,.]]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0]
[[[.,[.,.]],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[[[[.,[[.,.],.]],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[.,[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[.,[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[[[.,.],[[.,[.,.]],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[.,[.,[.,[[[[[.,.],.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[.,[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[.,[.,[[.,[[[[.,.],.],.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[.,[.,[[.,.],[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[.,[.,[[.,[[[[.,[.,.]],.],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[.,[.,[[.,[.,.]],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[[[[.,[[.,[.,[.,[.,.]]]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[[[[[.,[[.,[.,[.,.]]],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[[[.,.],[[.,.],[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[.,.],[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[.,[.,[[.,.],[[.,[[[.,.],.],.]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[[.,[.,[[.,.],[[.,[[.,.],.]],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,.],[[.,[[[.,.],.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[.,[[.,[.,.]],[[.,[[[.,.],.],.]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[.,[[.,.],[[.,[[[.,.],.],[.,.]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[[.,[[.,[.,.]],[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,[[.,.],[.,.]]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[.,[.,[[[[[.,.],.],.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[[.,[.,.]],[.,[[[[[.,.],.],.],.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[[.,[[.,.],[[[[[.,.],.],.],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[[.,[[[[[[.,.],[.,.]],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[[[.,[.,[[[[.,.],.],.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[[[[[[.,.],[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[[[[[[.,.],.],.],.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[[[[[[[.,.],[.,.]],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[[[[[[.,[[.,.],.]],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[.,[[[[[.,.],.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]
[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0]
[[[[[.,[.,.]],.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0]
[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[[[.,[.,[.,[.,.]]]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[[[.,[[.,[.,[.,[[.,.],.]]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[[[[[.,.],[.,[.,[.,.]]]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[[[[.,.],[[.,[.,[.,[.,.]]]],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[[.,[.,[[[[[.,.],.],.],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[[.,.],[.,[.,[[[[.,[.,.]],.],.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[[.,.],[.,[[[[[.,[.,.]],.],.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[[[.,.],.],[[[.,[[[.,.],.],.]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0]
[[[[[.,.],.],[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[[[.,[[[[.,.],.],.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[[[[.,[[.,.],.]],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[[.,[.,[.,.]]],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[[[.,[.,[.,[.,[.,.]]]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[.,[[[[.,.],.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[.,[[[.,.],.],[.,[[[[.,.],.],.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[.,[[.,.],[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[[.,[[[[.,.],.],.],.]],[.,[.,[.,.]]]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[[.,[[[.,.],.],.]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[[.,[[.,.],.]],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[[.,[.,.]],[.,[.,[[[[.,.],.],.],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[[[[[.,[.,[[[.,.],.],.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[[[[.,.],[[.,[.,[.,.]]],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[[[[.,[[.,[[.,.],.]],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[[[[.,.],[[.,[[.,.],.]],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[[[.,[[.,[.,.]],[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],.],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[[[[.,.],[[.,[.,.]],[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[[[.,.],[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[.,[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[.,[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]
[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[.,[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[.,[[[.,[[.,.],[[.,[.,.]],.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[.,[[.,.],[[.,.],[[.,[.,.]],.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0]
[[.,[[.,.],[[[.,[.,.]],[.,.]],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[[.,[[[.,[.,.]],.],[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,.],[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[[.,.],[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[[.,[.,.]],[[.,.],[[.,[.,.]],.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,.],[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[[.,.],[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,.],[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[.,[.,[[.,.],[[.,[.,.]],.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[[[.,[.,[[[.,[.,.]],[.,.]],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[[.,[.,[[.,[.,.]],.]]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,[[.,[.,.]],.]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[[[.,[.,.]],.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[[[[.,[.,.]],[.,[[.,[.,.]],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[[[[.,.],.],[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[[.,.],.],[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[[[[.,.],[.,.]],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[[[[.,[[.,[.,[.,.]]],.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[[[[[.,[[.,[.,[.,.]]],.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,[[[.,.],[[.,.],[.,.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,[[[.,.],[.,.]],.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[.,[[[.,.],[[.,.],[.,.]]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[[.,.],[.,[[[.,.],[.,.]],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[.,[[.,[[[.,.],[.,.]],.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0]
[[.,[[[.,.],[[.,.],[.,.]]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,[[[.,.],[.,.]],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0]
[.,[[[.,[[[.,.],[.,.]],.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[[.,.],[[.,[[[.,.],[.,.]],.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[.,[[.,[[[[.,.],[.,.]],[[.,.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[.,[[[.,.],[[[.,.],[.,.]],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]
[[.,.],[.,[[[[.,.],[.,.]],[[.,.],.]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[.,[[.,[[.,[[[.,.],[[.,.],.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[.,[[.,[[[.,.],[[.,.],[[.,.],.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[[[.,.],[.,.]],.],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[[.,[[[.,.],[.,.]],.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[[.,.],[.,.]]],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],.],[.,[[[.,.],[.,.]],.]]] => [1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[.,.],[.,[[.,[[[.,.],[[.,.],.]],.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,.],[.,[[[.,.],[[.,.],[[.,.],.]]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[[[.,.],[.,.]],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[.,.],[[.,.],[.,[[[.,.],[[.,.],.]],.]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[.,[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[.,[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0]
[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0]
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[[[[[.,[[[.,.],.],.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[[[[[.,[[[[.,.],.],.],.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[[[[[.,[[[[[.,.],.],.],.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[[[.,[[[[[[.,.],.],.],.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[[.,[[[[[[[.,.],.],.],.],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[.,[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[.,[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[.,[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[[[[[[[[.,.],.],.],.],.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[[[[[[[.,.],.],.],.],.],[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[.,[[[[[.,[[[[.,.],.],.],.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[.,[[[[[[.,.],[[[.,.],.],.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[.,[[[[[[[.,.],.],[[.,.],.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[[.,.],[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[.,.],[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[[.,.],[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[.,[[.,.],.]],[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0]
[[[.,[[.,.],.]],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[[[.,[[.,.],[[.,.],.]]],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[[[.,[[.,.],[[.,.],[[.,.],.]]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[[[.,[[.,.],[[.,[[.,.],.]],.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],.]]] => [1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0]
[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0]
[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[[.,[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[[.,[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[[.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[.,[.,[.,[.,[[[[[.,.],.],.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[.,[.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[.,[.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[.,[.,[.,[[[[[[.,[.,.]],.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[.,[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[.,[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[[[.,[[.,.],[[.,.],.]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[[[[.,[[.,.],.]],[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[[.,[[.,.],[[[.,[[.,.],.]],[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[[[.,[[.,.],.]],[.,.]],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[[.,.],[[[[.,[[.,.],.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[[.,.],[[[.,[[.,.],[[.,.],.]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[.,.],[[[.,[[.,.],.]],[.,[[.,.],.]]],.]] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[[.,.],[[.,[[.,.],[[.,.],.]]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[[.,[[.,.],.]],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[[[[.,.],[[.,[[.,.],.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[[.,.],[[.,[[.,.],.]],[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[[.,.],[[.,[[.,.],.]],.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[[[[[.,.],[[.,.],.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[[[[.,.],[[.,.],[[.,.],.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[[.,[[.,.],.]],.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0]
[[[[.,.],[[.,.],.]],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[.,.],[[[[.,[[.,.],.]],[.,.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[.,[[.,.],[[[.,[[.,.],[[.,.],.]]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[.,[[[.,[[.,.],.]],.],.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0]
[.,[[.,.],[[.,.],[[[.,[[.,.],.]],.],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[[[.,.],[[.,.],.]],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[[[.,.],[[.,.],[[.,.],.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[.,[[.,.],[[[.,[[.,.],.]],.],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[[.,.],[[.,.],.]],[.,[[.,.],[[.,.],.]]]] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[.,[[.,.],[[.,.],[[.,[[[.,.],.],.]],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[.,[.,[.,[[.,.],[[.,[[[.,.],.],.]],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[[.,[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[.,[.,.]],.],.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[.,[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[.,[[[.,.],[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[.,[[[[[[.,.],.],.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]
[.,[[[[[.,.],.],.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]
[.,[[[[.,.],.],.],[.,[[[[.,.],.],.],.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[.,[[[.,.],.],[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]
[.,[[.,.],[.,[[[[[[.,.],.],.],.],.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[[[.,.],[[.,[[.,[.,.]],.]],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[[[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[[[[.,.],[[.,[.,[.,[.,.]]]],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[.,[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[[.,.],[[.,.],[[[.,.],[[.,[.,.]],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[[.,.],[[[[.,.],[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[.,.],[[[.,.],[.,[[[.,.],[.,.]],.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[.,.],[[[.,.],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,.],[[.,[.,.]],.]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0]
[[[[.,.],[[.,[.,.]],.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[[[[.,.],[.,[[[.,.],[.,.]],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[.,[[.,.],[[[.,.],[.,.]],.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[[.,.],[.,[[[.,.],[[.,[.,.]],.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[[.,.],[[.,[.,[[[.,.],[.,.]],.]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[.,[[.,.],.]],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0]
[[.,[[.,.],.]],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[[[[.,[[.,.],.]],[[.,[.,.]],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[[[.,[[.,.],.]],[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[[[.,[[.,.],.]],[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[.,.],[[.,.],.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[.,[[[[.,.],[[.,.],.]],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[[.,[[.,[[.,.],.]],[[[.,.],[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[[.,[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[.,[[.,.],[[[[.,.],[[.,.],.]],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[.,[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[[.,[.,[[[[.,.],[[.,.],.]],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[.,[[.,.],[[.,.],[[[.,.],[[.,.],.]],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[.,[[.,.],[[[.,.],[[.,[[.,.],.]],.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[.,[[[[[.,.],[[.,[.,.]],.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,[[[.,.],[.,.]],.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[[[[.,[[.,[[.,[.,.]],.]],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,[.,[[.,.],[[[.,.],[[.,.],.]],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[[.,[.,[[[.,.],[[.,[[.,.],.]],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[[[.,[[.,[.,.]],.]],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,[[.,[.,[[[.,.],[[.,.],.]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[.,.],.],[.,.]],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[[.,[.,.]],[[.,.],[.,.]]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0]
[[[[.,[[.,[.,[.,.]]],.]],[[.,.],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0]
[.,[[[[.,[[.,[.,.]],.]],[[.,.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[.,[.,[.,[.,[[[[[[.,[.,.]],.],.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[.,[[.,.],[[.,[.,.]],[[.,[[[.,.],.],.]],.]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[[.,[[.,.],[[.,[.,.]],[[.,[[.,.],.]],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[[[.,[[.,[[.,[.,.]],.]],[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[[[[.,.],[[.,[[.,[.,.]],.]],[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],.]],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[[.,[[.,.],[[.,.],.]]],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[.,.],.]],.]],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0]
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[.,[[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[.,[[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[.,[[.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[.,[[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[[.,[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]],.]] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[.,[[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[.,[[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[.,[[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[.,[[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[.,[[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[.,[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[.,[[[.,.],[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[.,[[[.,.],[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[.,[[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[.,.],[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0]
[.,[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[.,[[[.,[[.,.],[.,.]]],.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[.,[[[.,[[.,.],[.,.]]],.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[.,[[[[.,.],[.,.]],[.,.]],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[.,[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]
[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]
[.,[[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[.,[[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[.,[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[.,[[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[.,[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[.,[[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[.,[[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[.,[[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[.,[.,.]],[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[.,[.,.]],[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[.,.]],[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,[.,.]],[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[[.,[.,.]],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[.,[.,.]],[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[.,[.,.]],[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[.,[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[.,[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[[.,[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[[.,[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]
[[.,[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]
[[[.,[.,.]],[[.,.],[.,.]]],[[.,[[.,.],[.,.]]],.]] => [1,1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]
[[[.,[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]
[[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]
[[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]
[[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[[.,[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[.,[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]
[[.,[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[.,[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0]
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0]
[[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]
[[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[.,[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[[.,[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[.,[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[.,[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]]],.] => [1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[[.,[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]]],.] => [1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[.,[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[.,[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[.,[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[.,[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[.,[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[.,[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[.,.],[.,.]],[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,.]],[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]] => [1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[.,[.,.]],[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,.]],[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0]
[[[.,.],[.,.]],[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[[.,[[.,.],[.,.]]],.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[[[.,[[.,.],[.,.]]],.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[[.,.],[.,.]],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]
[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0]
[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]
[[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]
[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0]
[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]
[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[.,.],[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[.,[[.,.],[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[.,[[.,.],[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[.,.],[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[.,[[.,.],[[[.,[[.,.],[[.,[.,.]],.]]],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[.,[[.,.],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[.,[[.,.],[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[.,.],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[.,[[.,.],[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[.,.],[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[.,[[.,.],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[.,[[.,.],[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[.,[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[.,[[[.,[[.,.],[[.,.],[[.,[.,.]],.]]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[.,[[.,.],[[[.,[.,.]],[.,.]],.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[.,[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[.,[[[.,[[[.,[.,.]],.],[[.,[.,.]],.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[[.,.],[[.,[.,.]],.]]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[.,[[[[.,[[.,.],[[.,[.,.]],.]]],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0]
[.,[[[.,[[.,[.,.]],.]],.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[.,[[.,[.,.]],.]],.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]
[.,[[[.,[.,.]],.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],.],[[.,.],[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[.,[[[.,[.,.]],.],[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[.,[[[.,[.,.]],.],[[[.,[.,.]],.],[[.,[.,.]],.]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[.,[[[[.,[.,.]],[[.,.],[[.,[.,.]],.]]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[.,[[[[.,[.,.]],[.,.]],.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]
[.,[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]
[[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[[.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,[[[.,[[.,.],[[.,[.,.]],.]]],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0]
[[.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[.,.],[[.,[[.,.],[[.,.],[[.,[.,.]],.]]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0]
[[.,.],[[.,[[.,.],[[[.,[.,.]],[.,.]],.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[[.,.],[[.,[[[.,[.,.]],.],[[.,[.,.]],.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,.],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[.,[.,.]],[[.,.],[[.,.],[[.,[.,.]],.]]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[.,.],[[[.,[.,.]],[.,.]],.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[[[.,[.,.]],[[[.,[.,.]],.],[[.,[.,.]],.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,.],[[.,.],[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[[.,.],[[.,.],[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[.,.],[[[.,[.,.]],[[.,.],[[.,[.,.]],.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,.],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[[.,[[.,.],[[.,[.,.]],.]]],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[[[.,[.,.]],.],[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[[[.,[.,.]],.],[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[[[.,[.,.]],[.,.]],[[.,.],[[.,[.,.]],.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]
[[.,.],[[.,.],[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[.,.],[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[.,.],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,.],[[[.,[.,.]],.],[[.,[[.,[.,.]],.]],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[[.,[[.,[.,.]],.]],[[.,.],[[.,[.,.]],.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[[[.,[.,.]],.],[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[[[.,[.,.]],.],[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[[.,.],[[.,.],[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,.],[[.,.],[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[.,.],[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[[.,.],[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[.,.],[[[.,[.,[[.,.],[[.,[.,.]],.]]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[[.,.],[[[.,[.,[[[.,[.,.]],[.,.]],.]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[.,.],[[[.,[.,[[.,[.,.]],.]]],.],[[.,[.,.]],.]]] => [1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,.],[[[[.,[.,[[.,[.,.]],.]]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[[.,[.,.]],.],[[.,.],[[.,[.,.]],[.,.]]]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[[.,.],[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,.],[[[[.,[.,.]],[.,[[.,[.,.]],.]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[[.,.],[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[.,[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[[[.,.],[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[[.,[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[[.,[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[.,[.,[[.,.],[[.,[.,.]],.]]]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[[[.,[.,[[[.,[.,.]],[.,.]],.]]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[[[.,[.,[[.,.],[[.,[.,.]],.]]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[[[[.,[.,[[[.,[.,.]],[.,.]],.]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[[.,[.,[[.,[.,.]],.]]],.],[[.,.],[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,[.,[[.,[.,.]],.]]],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[[[.,[[.,[.,.]],.]],[.,[[.,[.,.]],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[[[[.,[.,[[.,[.,.]],.]]],[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[[[[[.,[.,[[.,[.,.]],.]]],[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[[[.,[.,.]],.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[[[.,[.,.]],.],[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[[[.,[.,.]],.],[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[[.,[.,.]],.],[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[[[.,[.,.]],[.,[[.,.],[[.,[.,.]],.]]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],[.,[[[.,[.,.]],[.,.]],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[[[[.,[.,.]],[.,[[.,[.,.]],.]]],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[[[[[.,[.,.]],[.,[[.,[.,.]],.]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0]
[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0]
[[[[[.,[.,.]],[.,.]],[.,[[.,[.,.]],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0]
[[.,[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,[[.,[[[.,.],[[.,.],[.,.]]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[.,[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[.,[[[.,[[[.,.],[.,.]],.]],[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[.,[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]],.]],.] => [1,1,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[.,[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.]],.] => [1,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[.,[[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[.,[[[.,.],[.,[[[.,.],[[.,.],[.,.]]],.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[.,[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[[[.,.],[[.,.],[.,[[[.,.],[.,.]],.]]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[.,[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,[[.,[[[.,.],[.,.]],.]],.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[[.,[[[.,.],[[.,.],[.,.]]],.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,[[[.,.],[.,.]],.]]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[.,[[[.,.],[.,.]],.]],[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[[.,.],[.,.]]],[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[.,[[[.,.],[.,.]],.]],[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[.,[[.,[[[.,.],[.,.]],.]],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[.,[[[.,.],[[.,.],[.,.]]],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[[.,.],[.,[[[.,.],[.,.]],.]]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0]
[[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[.,[[.,[[[.,.],[[.,.],[.,.]]],.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[[.,[[[.,.],[.,.]],.]],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[.,.],[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],.] => [1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[.,.],[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[[.,.],[.,[[[.,.],[[.,.],[.,.]]],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[[.,.],[[.,.],[.,[[[.,.],[.,.]],.]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0]
[[.,[[.,[[[.,.],[[.,.],[.,.]]],.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0]
[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[[.,[[[.,.],[.,.]],.]],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[.,[[[.,.],[[.,.],[.,.]]],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[[.,.],[.,[[[.,.],[.,.]],.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[.,[[[.,[[.,[[[.,.],[.,.]],.]],.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0]
[.,[[[.,[[[.,.],[[.,.],[.,.]]],.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[.,[[[[.,.],[.,[[[.,.],[.,.]],.]]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0]
[.,[[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[.,.],[[.,[[.,[[[.,.],[.,.]],.]],.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0]
[[.,.],[[.,[[[.,.],[[.,.],[.,.]]],.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]
[[.,.],[[[.,.],[.,[[[.,.],[.,.]],.]]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0]
[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0]
[.,[[.,[[[.,[[[.,.],[.,.]],.]],[[.,.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[.,[[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[.,[[[.,.],[[.,[[[.,.],[.,.]],.]],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[.,[[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[[.,[[[.,.],[.,.]],.]],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]
[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]
[[.,.],[.,[[[.,[[[.,.],[.,.]],.]],[[.,.],.]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[[.,.],[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],.]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[[.,.],[[.,.],[[.,[[[.,.],[.,.]],.]],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[.,[[.,[[.,[[[[.,.],[.,.]],[[.,.],.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[.,[[.,[[[.,.],[[[.,.],[.,.]],[[.,.],.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[.,[[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]
[.,[[[.,.],[.,[[[[.,.],[.,.]],[[.,.],.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[.,[[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[[[.,.],[.,.]],[[.,[[[.,.],[.,.]],.]],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0]
[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[[[.,.],[.,.]],[.,[[[[.,.],[.,.]],[[.,.],.]],.]]] => [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]
[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[[.,.],[.,[[.,[[[[.,.],[.,.]],[[.,.],.]],.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[[.,.],[.,[[[.,.],[[[.,.],[.,.]],[[.,.],.]]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]
[[.,.],[[.,.],[.,[[[[.,.],[.,.]],[[.,.],.]],.]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[.,[[.,[[.,[[.,[[[.,.],[[.,.],.]],.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[.,[[.,[[.,[[[.,.],[[.,.],[[.,.],.]]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[.,[[[[[.,.],[.,.]],.],[[.,.],[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[.,[[.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[.,[[.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,[[[.,.],[.,.]],.]],.],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[[[.,.],[[.,.],[.,.]]],.],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[.,[[[[[.,.],[.,.]],.],[.,[[[.,.],[.,.]],.]]],.]] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[.,[[[[[.,.],[.,.]],.],[[.,.],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[.,[[[.,.],[.,[[.,[[[.,.],[[.,.],.]],.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[.,[[[.,.],[.,[[[.,.],[[.,.],[[.,.],.]]],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[.,.],[[[[.,.],[.,.]],.],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[.,.],[[.,.],[.,[[[.,.],[[.,.],.]],.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[.,[[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[[.,[[.,[[[.,.],[.,.]],.]],.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[[.,[[[.,.],[[.,.],[.,.]]],.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[.,[[[[[.,.],[.,.]],.],[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,[[[.,.],[.,.]],.]]],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[[.,.],[[.,.],[.,.]]]],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[.,[[[.,.],[.,.]],.]],.],[.,[[[.,.],[.,.]],.]]] => [1,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[[.,.],[.,.]]],.],[.,[[[.,.],[.,.]],.]]] => [1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[.,[[[.,.],[.,.]],.]],.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[[.,.],[[.,.],[.,.]]],.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],.],[.,[[.,[[[.,.],[.,.]],.]],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],.],[.,[[[.,.],[[.,.],[.,.]]],.]]] => [1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[.,.],[.,.]],[[[[.,.],[.,.]],.],[[.,.],[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],.],[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0]
[[[[.,.],[.,.]],.],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[.,.],[.,[[.,[[.,[[[.,.],[[.,.],.]],.]],.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,.],[.,[[.,[[[.,.],[[.,.],[[.,.],.]]],.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[.,[[[[[.,.],[.,.]],.],[[.,.],[.,.]]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[.,.],[.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,.],[.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[[.,[[[.,.],[.,.]],.]],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[.,.],[[[[.,.],[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[.,.],[[[[.,.],[.,.]],.],[.,[[[.,.],[.,.]],.]]]] => [1,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[.,.],[[[[.,.],[.,.]],.],[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[.,.],[[.,.],[.,[[.,[[[.,.],[[.,.],.]],.]],.]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,.],[[.,.],[.,[[[.,.],[[.,.],[[.,.],.]]],.]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,.],[[[[.,.],[.,.]],.],[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[.,.],[[.,.],[[.,.],[.,[[[.,.],[[.,.],.]],.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[.,[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[.,[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[.,[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[.,[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[.,[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[.,[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[.,[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[.,[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[.,[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[.,[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[.,[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[.,[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[.,[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[.,[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[.,[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[.,[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0]
[.,[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[.,[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0]
[.,[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[.,[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0]
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[.,[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]
[[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[.,[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[.,[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0]
[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]
[[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]
[[.,[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[.,[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]
[[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0]
[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]
[[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[.,[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[.,[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[.,[[.,.],[.,.]]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]
[[[.,[[.,.],[.,.]]],[.,.]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]
[[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0]
[[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[.,[.,.]],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[.,[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[.,[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[[.,[.,.]],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[[.,[.,.]],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[[.,[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0]
[[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0]
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0]
[[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0]
[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[[.,[[.,.],.]],[.,[[.,.],[[.,.],[[.,.],.]]]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[[.,[[.,.],.]],[.,[[.,.],[[.,[[.,.],.]],.]]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[[.,.],.]],[.,[[.,[[.,.],.]],[[.,.],.]]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[[.,[[.,.],.]],[.,[[.,[[.,.],[[.,.],.]]],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[[.,.],[[.,.],.]]],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[[[.,[[.,.],[[.,.],.]]],[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[[[.,[[.,.],[[.,.],[[.,.],.]]]],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[[[.,[[.,.],[[.,[[.,.],.]],.]]],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]
[[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]
[[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]
[[.,.],[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[.,.],[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[.,.],[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[.,.],[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[.,.],[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,.],[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[.,.],[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[.,.],[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[.,.],[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[.,.],[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,.],[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.]] => [1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[.,.],[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[[.,.],[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[[.,.],[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[[.,.],[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[.,.],[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,.],[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[.,.],[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,.],[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]
[[[[.,.],[.,.]],[.,.]],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]
[[[.,.],[[.,.],[.,.]]],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[.,.],[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[.,.],[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],.]]] => [1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[.,.],[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],.]]] => [1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[[[.,.],[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]
[[[.,.],[.,.]],[[.,.],[[[.,.],[[.,.],[.,.]]],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0]
[[.,.],[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[[[[[.,.],[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]
[[[[.,.],[[.,.],[.,.]]],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0]
[[[.,.],[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[[.,.],[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[.,.],[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]]] => [1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[.,.],[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],.]]] => [1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,.]],[[[.,.],[.,.]],[[[.,.],[.,.]],.]]] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[[.,.],[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,.]],[.,.]],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0]
[[[.,.],[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0]
[[.,.],[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],.]]]] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0]
[[[.,.],[.,.]],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0]
[[.,.],[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0]
[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0]
[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0]
[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0]
[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0]
[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0]
[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[[.,.],.]]]] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0]
[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0]
[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0]
[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],.]]]]] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0]
[[[[[[.,[[.,.],.]],[.,.]],[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[[[[[.,[[.,.],[[.,.],.]]],[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[[[[.,[[.,.],[[.,[[.,.],.]],.]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[[[[.,[[.,.],.]],[.,[[.,.],.]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[[[[.,[[.,.],[[.,.],[[.,.],.]]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[[[.,[[.,.],[[[.,[[.,.],.]],[.,.]],.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[[[[[.,[[.,.],.]],[.,.]],[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[[[[.,[[.,.],[[.,.],.]]],[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[[[[.,[[.,.],.]],[.,[[.,.],[[.,.],.]]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,.],[[[[.,[[.,.],.]],[.,.]],[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[[.,[[.,.],[[[.,[[.,.],[[.,.],.]]],[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[[.,[[.,.],.]],[.,[[.,.],.]]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[[.,[[.,.],.]],[.,[[[.,[[.,.],.]],[.,.]],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[.,[[.,.],[[.,.],[[[.,[[.,.],.]],[.,.]],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[[[.,[[.,.],.]],[.,.]],[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0]
[[[[[.,[[.,.],.]],[.,.]],[.,.]],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0]
[[[[.,[[.,.],[[.,.],.]]],[.,.]],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0]
[[[[.,[[.,.],.]],[.,[[.,.],.]]],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0]
[[.,[[.,.],[[[.,[[.,.],.]],[.,.]],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[[[[.,[[.,.],.]],[.,.]],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]
[[.,.],[[[[[.,[[.,.],.]],[.,.]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[[.,.],[[[[.,[[.,.],[[.,.],.]]],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[[.,.],[[[.,[[.,.],[[.,[[.,.],.]],.]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[.,.],[[[[.,[[.,.],.]],[.,[[.,.],.]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[[.,.],[[[.,[[.,.],[[.,.],[[.,.],.]]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,.],[[[.,[[.,.],.]],[.,.]],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[.,.],[[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]],.]] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[[.,.],[[[[.,[[.,.],.]],[.,.]],[.,[[.,.],.]]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[[.,.],[[[.,[[.,.],[[.,.],.]]],[.,[[.,.],.]]],.]] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[[.,.],[[[.,[[.,.],.]],[.,[[.,.],[[.,.],.]]]],.]] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[[[.,.],[[[[.,[[.,.],.]],[.,.]],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[[[.,.],[[[.,[[.,.],[[.,.],.]]],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[[.,.],[[[.,[[.,.],.]],[.,[[.,.],.]]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[[[.,[[.,.],.]],[.,.]],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0]
[[.,.],[[[.,[[.,.],[[.,.],.]]],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0]
[[.,.],[[[.,[[.,.],.]],[.,[[.,.],.]]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0]
[[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[[[.,.],[[.,[[.,.],[[.,.],.]]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[.,.],[[[.,[[.,.],.]],[.,.]],[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,.],[[.,[[.,.],.]],[[[.,[[.,.],.]],[.,.]],.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[[.,.],[[.,[[.,.],[[.,.],.]]],.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[[.,[[.,.],.]],[.,.]],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]
[[[[[.,.],[[.,[[.,.],.]],.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[[[.,.],[[.,[[.,.],.]],[[.,.],.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[[[.,.],[[.,[[.,.],.]],.]],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[.,.],[[[.,[[.,.],.]],[.,.]],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0]
[[[.,.],[[.,[[.,.],.]],.]],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[[[[.,.],[[.,[[.,.],.]],.]],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[[.,.],[[.,[[.,.],.]],[[.,.],.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[[.,.],[[.,[[.,.],.]],.]],[.,[[.,.],[[.,.],.]]]] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0]
[[[[[[.,.],[[.,.],.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[[[[[.,.],[[.,.],[[.,.],.]]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[[[.,[[.,.],[[[.,[[.,.],.]],.],.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0]
[[[[[.,.],[[.,.],.]],[.,[[.,.],.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[[[.,[[.,.],.]],[.,.]],.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[[.,[[.,.],[[[.,[[.,.],[[.,.],.]]],.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[[.,.],.]],[.,[[[.,[[.,.],.]],.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],[[[.,[[.,.],.]],.],.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[[[[.,.],[[.,.],.]],[.,.]],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[[[[.,.],[[.,.],[[.,.],.]]],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[[.,[[.,.],.]],.],[[.,.],.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[[[.,.],[[.,.],.]],[.,[[.,.],[[.,.],.]]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[.,.],[[[[[.,[[.,.],.]],[.,.]],[.,.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[.,[[.,.],[[[[.,[[.,.],[[.,.],.]]],[.,.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[.,.],[[.,[[.,.],[[[.,[[.,.],.]],.],.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0]
[.,[[.,.],[[[[.,[[.,.],.]],[.,[[.,.],.]]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[.,[[.,.],[[[.,[[.,.],[[.,.],[[.,.],.]]]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[.,[[[[.,[[.,.],.]],[.,.]],.],.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[[.,[[.,.],.]],[.,[[[.,[[.,.],[[.,.],.]]],.],.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[.,[[.,.],[[.,.],[[[[.,[[.,.],.]],[.,.]],.],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[.,[[.,.],[[.,.],[[[.,[[.,.],[[.,.],.]]],.],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[[.,.],.]],[.,.]],[.,[[[.,[[.,.],.]],.],.]]] => [1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0]
[[.,[[.,.],[[.,.],.]]],[.,[[[.,[[.,.],.]],.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0]
[.,[[.,.],[[[.,[[.,.],.]],.],[[.,[[.,.],.]],.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[.,[[.,.],[[[.,[[.,.],.]],.],.]]]] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[.,[[.,.],[[.,.],[[.,.],[[[.,[[.,.],.]],.],.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[[[[.,.],[[.,.],.]],[.,.]],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[[[[.,.],[[.,.],[[.,.],.]]],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[[.,[[.,.],.]],.],.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0]
[[[[.,.],[[.,.],.]],[.,[[.,.],.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[.,.],[[[[.,[[.,.],.]],[.,.]],.],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[.,[[.,.],[[[.,[[.,.],[[.,.],.]]],.],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,[[.,.],.]],[.,[[[.,[[.,.],.]],.],[[.,.],.]]]] => [1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[.,[[.,.],[[.,.],[[[.,[[.,.],.]],.],[[.,.],.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[[[.,.],[[.,.],.]],[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0]
[[[.,.],[[.,.],[[.,.],.]]],[.,[[.,.],[[.,.],.]]]] => [1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0]
[.,[[.,.],[[[.,[[.,.],.]],.],[[.,.],[[.,.],.]]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[[.,.],[[.,.],.]],[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0]
[.,[[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[.,.],[[.,.],[[.,.],[[[.,.],[[.,[.,.]],.]],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[[.,.],[[.,.],[[[[.,.],[[.,[.,.]],.]],[.,.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[.,.],[[.,.],[[[.,.],[.,[[[.,.],[.,.]],.]]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[.,.],[[.,.],[[[.,.],[[.,[[.,[.,.]],.]],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[.,.],[[[.,.],[[.,[.,.]],.]],[[[.,.],[.,.]],.]]] => [1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0]
[[.,.],[[[[.,.],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[[.,.],[[[[.,.],[.,[[[.,.],[.,.]],.]]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]
[[.,.],[[[[.,.],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[[.,.],[[[.,.],[.,[[.,.],[[[.,.],[.,.]],.]]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[.,.],[[[.,.],[.,[[[.,.],[[.,[.,.]],.]],.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[.,.],[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[[.,.],[[.,[.,[[[.,.],[.,.]],.]]],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[.,.],[[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[.,.],[[.,[.,.]],.]],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0]
[[[.,.],[[.,[.,.]],.]],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0]
[[.,.],[[[[.,[[.,.],.]],[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[[[[.,.],[[.,[.,.]],.]],[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0]
[[[[.,.],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[[[.,.],[.,[[[.,.],[.,.]],.]]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0]
[[[[.,.],[.,[[[.,.],[.,.]],.]]],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[[.,[[.,[.,.]],.]],.]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0]
[[[[.,.],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[[[[.,.],[.,[[.,.],[[[.,.],[.,.]],.]]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[[[.,.],[.,[[[.,.],[[.,[.,.]],.]],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[[[.,.],[[.,[.,[[[.,.],[.,.]],.]]],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[.,.],[.,[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[[[.,.],[.,[[.,.],[[[.,.],[[.,[.,.]],.]],.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[[[.,.],[.,[[[[.,.],[[.,[.,.]],.]],[.,.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[[.,.],[.,[[[.,.],[[.,[[.,[.,.]],.]],.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,.],[[.,[[.,[.,.]],.]],[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[[[.,.],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,.],[[[.,[.,[[[.,.],[.,.]],.]]],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[[[.,.],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[[.,.],[[.,[.,[[.,.],[[[.,.],[.,.]],.]]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[[.,.],[[.,[.,[[[.,.],[[.,[.,.]],.]],.]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[[.,.],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[[.,.],[[.,[[.,[.,[[[.,.],[.,.]],.]]],.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[[.,.],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,[[.,.],.]],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[[.,[[.,.],.]],[[.,.],[[[.,.],[[.,[.,.]],.]],.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[[.,[[.,.],.]],[[[[.,.],[[.,[.,.]],.]],[.,.]],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[.,[[.,.],.]],[[[.,.],[.,[[[.,.],[.,.]],.]]],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,.],.]],[[[.,.],[[.,[[.,[.,.]],.]],.]],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[[.,.],.]],[[.,[.,.]],.]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0]
[[[[.,[[.,.],.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[[[[.,[[.,.],.]],[.,[[[.,.],[.,.]],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[[[[.,[[.,.],.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[[.,.],.]],[.,[[.,.],[[[.,.],[.,.]],.]]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[[.,[[.,.],.]],[.,[[[.,.],[[.,[.,.]],.]],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[[.,[[.,.],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[[.,[[.,.],.]],[[.,[.,[[[.,.],[.,.]],.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[[.,[[.,.],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[.,[[[.,.],[[.,.],.]],[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0]
[.,[[[.,.],[[.,.],.]],[[[.,.],[[.,[.,.]],.]],.]]] => [1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0]
[[[[.,[[[.,.],[.,.]],.]],[[.,[.,.]],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[.,[[[[.,.],[[.,.],.]],[.,[[[.,.],[.,.]],.]]],.]] => [1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[.,[[[[.,.],[[.,.],.]],[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0]
[[.,[[.,[[.,.],.]],[[.,.],[[[.,.],[.,.]],.]]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0]
[[.,[[.,[[.,.],.]],[[[.,.],[[.,[.,.]],.]],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[[[[.,[[.,[[.,.],.]],.]],[[.,[.,.]],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[[.,[[[.,[[.,.],.]],[.,[[[.,.],[.,.]],.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[[.,[[[.,[[.,.],.]],[[.,[[.,[.,.]],.]],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[.,[[.,.],[[[.,.],[[.,.],.]],[[[.,.],[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[.,[[.,.],[[[[.,.],[[.,.],.]],[[.,[.,.]],.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[.,[[[.,.],[[.,[[.,.],.]],[[[.,.],[.,.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[.,[[[.,.],[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[.,[[[.,[[.,.],.]],[.,.]],.]],[[[.,.],[.,.]],.]] => [1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]
[[[.,[[[.,[[.,.],.]],[.,.]],.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[[.,[.,[[[.,.],[[.,.],.]],[[[.,.],[.,.]],.]]]],.] => [1,1,0,0,1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[[.,[.,[[[[.,.],[[.,.],.]],[[.,[.,.]],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[[.,[[.,[[.,[[.,.],.]],[[[.,.],[.,.]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[[.,[[.,[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[.,[[.,.],[[.,.],[[[[.,.],[[.,.],.]],[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[.,[[.,.],[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[.,[[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[.,[[[.,.],[.,[[[[.,.],[[.,.],.]],[.,.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[.,[[[.,.],[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[[.,[[.,[[.,.],.]],[[[.,.],[.,.]],.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[[[.,[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[[[.,[.,[[[[.,.],[[.,.],.]],[.,.]],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[[[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[[.,[.,[[.,.],[[[[.,.],[[.,.],.]],[.,.]],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[[.,[.,[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[.,[[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[[.,[[.,[.,[[[[.,.],[[.,.],.]],[.,.]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[[.,[[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[.,[[.,.],[[.,.],[[.,.],[[[.,.],[[.,.],.]],.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[.,[[.,.],[[.,.],[[[.,.],[[.,[[.,.],.]],.]],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[.,[[.,.],[[[[[.,.],[[.,[.,.]],.]],.],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[.,[[.,.],[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[.,[[.,.],[[[.,.],[[.,[[.,[[.,.],.]],.]],.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[.,[[[[.,.],[[.,[.,.]],.]],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0]
[.,[[[[[.,.],[[.,[.,.]],.]],.],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[.,[[[[[.,.],[.,[[[.,.],[.,.]],.]]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]
[.,[[[[[.,.],[[.,[[.,[.,.]],.]],.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[.,[[[.,.],[.,[[.,.],[[[.,.],[[.,.],.]],.]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[.,[[[.,.],[.,[[[.,.],[[.,[[.,.],.]],.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[.,[[[.,.],[[[[.,[[.,[.,.]],.]],.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[.,[[[.,.],[[.,[.,[[[.,.],[[.,.],.]],.]]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[[[.,[[.,[.,.]],.]],.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[[[.,[[.,[.,.]],.]],.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[.,[[[[[.,[[.,.],.]],[[.,[.,.]],.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[[[[.,[[.,[.,.]],.]],.],[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[[[[.,[[.,[.,.]],.]],.],[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[.,[[[.,.],[.,.]],.]]],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[[[[.,[.,[[[.,.],[.,.]],.]]],.],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[[[.,[[.,[[.,[.,.]],.]],.]],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[[[[.,[[.,[[.,[.,.]],.]],.]],.],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,[[.,.],[[[.,.],[.,.]],.]]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[[[[.,[.,[[[.,.],[[.,[.,.]],.]],.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[[[.,[[[[.,[[.,[.,.]],.]],.],[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[[[[.,[[.,[.,[[[.,.],[.,.]],.]]],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,[.,[[.,.],[[.,.],[[[.,.],[[.,.],.]],.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[[.,[.,[[.,.],[[[.,.],[[.,[[.,.],.]],.]],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[.,[[[[[.,.],[[.,[.,.]],.]],.],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[[.,[.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,[.,[[[.,.],[[.,[[.,[[.,.],.]],.]],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,[[[.,[[.,[.,.]],.]],.],[[[.,.],[.,.]],.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[[.,[[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[[[.,[.,[[[.,.],[.,.]],.]]],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[[.,[[[[.,[[.,[[.,[.,.]],.]],.]],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,[[.,[.,[[.,.],[[[.,.],[[.,.],.]],.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[[.,[[.,[.,[[[.,.],[[.,[[.,.],.]],.]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[[[.,[[.,[.,.]],.]],.],[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,[[.,[[.,[.,[[[.,.],[[.,.],.]],.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Francon's map from binary trees to Dyck paths.
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
References
[1] Françon, J. Sur le nombre de registres nécessaires à l'évaluation d'une expression arithmétique MathSciNet:0775838
[2] http://www-cs-faculty.stanford.edu/~knuth/programs/francon.w
Properties
bijective, graded
Sage code
def mapping(B):
    def binary_tree_to_LR(B, largest=0):
        if not B[0].is_empty():
            left_link = largest+1
            left = binary_tree_to_LR(B[0], largest=largest+1)
            largest = max(max(max(a,b) for a,b in left), largest+1)
        else:
            left_link = 0
            left = []

        if not B[1].is_empty():
            right_link = largest+1
            right = binary_tree_to_LR(B[1], largest=largest+1)
        else:
            right_link = 0
            right = []

        return [(left_link, right_link)] + left + right

    links = binary_tree_to_LR(B)
    l = [0] + [e for e, _ in links]
    r = [0] + [e for _, e in links]
    n = B.node_number()
    d = [1]*(2*n+1)
    h = [0]*(2*n+3)
    q = [0]*(n+1)
    qm = [0]*(n+1)

    h[1] = 1; k = 2; p = 0
    while True:
        while h[k] != 0:
            k += 2
        kk = h[k//2]
        if l[kk] != 0:
            h[k] = l[kk]+1; p += 1; d[p] = 1
        else:
            p += 1; d[p] = 0
        if r[kk] != 0:
            h[k+1] = r[kk]+1; p += 1; d[p] = 1
        else:
            p += 1; d[p] = 0
        if h[k] != 0:
            if h[k+1] != 0:
                continue
            kk = k
        elif h[k+1] != 0:
            kk = k+1
        else:
            h[k//2] = 0; kk = (k//2) ^^ 1; k = kk & -2
            if k == 0:
                return DyckWord(d[:-1])
        j = 0; jj = 1; q[0] = kk; qm[0] = 1
        while j < jj:
            kk = q[j]
            h[((kk//2)&(-qm[j]))+(kk&(qm[j]-1))] = h[kk]
            if h[2*kk] != 0:
                q[jj] = 2*kk;
                q[jj+1] = 2*kk+1
                qm[jj] = qm[jj+1] = qm[j]*2
                jj = jj + 2
            else:
                h[kk] = 0
            j += 1
Weight
26
Created
Jan 31, 2020 at 19:19 by FindStatCrew
Updated
Jan 31, 2020 at 19:19 by Martin Rubey