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Identifier
Mp00034: Dyck paths —to binary tree: up step, left tree, down step, right tree⟶ Binary trees
Images
[] => .
[1,0] => [.,.]
[1,0,1,0] => [.,[.,.]]
[1,1,0,0] => [[.,.],.]
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[1,1,0,1,0,0] => [[.,[.,.]],.]
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[1,1,0,0,1,0,1,0] => [[.,.],[.,[.,.]]]
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[1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],.]
[1,1,0,1,1,0,0,0] => [[.,[[.,.],.]],.]
[1,1,1,0,0,0,1,0] => [[[.,.],.],[.,.]]
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[1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.]
[1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.]
[1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]]
[1,0,1,0,1,1,0,0,1,0] => [.,[.,[[.,.],[.,.]]]]
[1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]]
[1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]]
[1,0,1,1,0,0,1,0,1,0] => [.,[[.,.],[.,[.,.]]]]
[1,0,1,1,0,0,1,1,0,0] => [.,[[.,.],[[.,.],.]]]
[1,0,1,1,0,1,0,0,1,0] => [.,[[.,[.,.]],[.,.]]]
[1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]]
[1,0,1,1,0,1,1,0,0,0] => [.,[[.,[[.,.],.]],.]]
[1,0,1,1,1,0,0,0,1,0] => [.,[[[.,.],.],[.,.]]]
[1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]]
[1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]]
[1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]]
[1,1,0,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,.]]]]
[1,1,0,0,1,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,0] => [[.,.],[[.,.],[.,.]]]
[1,1,0,0,1,1,0,1,0,0] => [[.,.],[[.,[.,.]],.]]
[1,1,0,0,1,1,1,0,0,0] => [[.,.],[[[.,.],.],.]]
[1,1,0,1,0,0,1,0,1,0] => [[.,[.,.]],[.,[.,.]]]
[1,1,0,1,0,0,1,1,0,0] => [[.,[.,.]],[[.,.],.]]
[1,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,.]]],[.,.]]
[1,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,0,0] => [[.,[.,[[.,.],.]]],.]
[1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],.]],[.,.]]
[1,1,0,1,1,0,0,1,0,0] => [[.,[[.,.],[.,.]]],.]
[1,1,0,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],.]],.]
[1,1,0,1,1,1,0,0,0,0] => [[.,[[[.,.],.],.]],.]
[1,1,1,0,0,0,1,0,1,0] => [[[.,.],.],[.,[.,.]]]
[1,1,1,0,0,0,1,1,0,0] => [[[.,.],.],[[.,.],.]]
[1,1,1,0,0,1,0,0,1,0] => [[[.,.],[.,.]],[.,.]]
[1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.]
[1,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],.]],.]
[1,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],.],[.,.]]
[1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.]
[1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.]
[1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.]
[1,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],.],[.,.]]
[1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.]
[1,1,1,1,0,0,1,0,0,0] => [[[[.,.],[.,.]],.],.]
[1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.]
[1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],.]
[1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[[.,.],[.,.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]]
[1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]]
[1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[[.,.],[[.,.],.]]]]
[1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[[.,[.,.]],[.,.]]]]
[1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]]
[1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[[.,[[.,.],.]],.]]]
[1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[[[.,.],.],[.,.]]]]
[1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]]
[1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]]
[1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]]
[1,0,1,1,0,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,.]]]]]
[1,0,1,1,0,0,1,0,1,1,0,0] => [.,[[.,.],[.,[[.,.],.]]]]
[1,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,.],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,.],[[.,[.,.]],.]]]
[1,0,1,1,0,0,1,1,1,0,0,0] => [.,[[.,.],[[[.,.],.],.]]]
[1,0,1,1,0,1,0,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,0,0] => [.,[[.,[.,.]],[[.,.],.]]]
[1,0,1,1,0,1,0,1,0,0,1,0] => [.,[[.,[.,[.,.]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]]
[1,0,1,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[[.,.],.]]],.]]
[1,0,1,1,0,1,1,0,0,0,1,0] => [.,[[.,[[.,.],.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,0] => [.,[[.,[[.,.],[.,.]]],.]]
[1,0,1,1,0,1,1,0,1,0,0,0] => [.,[[.,[[.,[.,.]],.]],.]]
[1,0,1,1,0,1,1,1,0,0,0,0] => [.,[[.,[[[.,.],.],.]],.]]
[1,0,1,1,1,0,0,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,.]]]]
[1,0,1,1,1,0,0,0,1,1,0,0] => [.,[[[.,.],.],[[.,.],.]]]
[1,0,1,1,1,0,0,1,0,0,1,0] => [.,[[[.,.],[.,.]],[.,.]]]
[1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]]
[1,0,1,1,1,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],.]],.]]
[1,0,1,1,1,0,1,0,0,0,1,0] => [.,[[[.,[.,.]],.],[.,.]]]
[1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]]
[1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]]
>>> Load all 6237 entries. <<<
[1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]]
[1,0,1,1,1,1,0,0,0,0,1,0] => [.,[[[[.,.],.],.],[.,.]]]
[1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]]
[1,0,1,1,1,1,0,0,1,0,0,0] => [.,[[[[.,.],[.,.]],.],.]]
[1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]]
[1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]]
[1,1,0,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,.]]]]]
[1,1,0,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[[.,.],[.,.]]]]
[1,1,0,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[[.,[.,.]],.]]]
[1,1,0,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]]
[1,1,0,0,1,1,0,0,1,0,1,0] => [[.,.],[[.,.],[.,[.,.]]]]
[1,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],[.,.]]]
[1,1,0,0,1,1,0,1,0,1,0,0] => [[.,.],[[.,[.,[.,.]]],.]]
[1,1,0,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],.]],.]]
[1,1,0,0,1,1,1,0,0,0,1,0] => [[.,.],[[[.,.],.],[.,.]]]
[1,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[.,.]],.]]
[1,1,0,0,1,1,1,0,1,0,0,0] => [[.,.],[[[.,[.,.]],.],.]]
[1,1,0,0,1,1,1,1,0,0,0,0] => [[.,.],[[[[.,.],.],.],.]]
[1,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,.]]]]
[1,1,0,1,0,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[[.,.],.]]]
[1,1,0,1,0,0,1,1,0,0,1,0] => [[.,[.,.]],[[.,.],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[[[.,.],.],.]]
[1,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,.]]]
[1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]]
[1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,.]]]],[.,.]]
[1,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],.]
[1,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[[.,.],.]]]],.]
[1,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],[.,.]]
[1,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[[.,.],[.,.]]]],.]
[1,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[[.,[.,.]],.]]],.]
[1,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,[[[.,.],.],.]]],.]
[1,1,0,1,1,0,0,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,.]]]
[1,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],.]],[[.,.],.]]
[1,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[.,.],[.,.]]],[.,.]]
[1,1,0,1,1,0,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,0] => [[.,[[.,.],[[.,.],.]]],.]
[1,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,[.,.]],.]],[.,.]]
[1,1,0,1,1,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],[.,.]]],.]
[1,1,0,1,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,.]]],.]],.]
[1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,[[.,.],.]],.]],.]
[1,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[[.,.],.],.]],[.,.]]
[1,1,0,1,1,1,0,0,0,1,0,0] => [[.,[[[.,.],.],[.,.]]],.]
[1,1,0,1,1,1,0,0,1,0,0,0] => [[.,[[[.,.],[.,.]],.]],.]
[1,1,0,1,1,1,0,1,0,0,0,0] => [[.,[[[.,[.,.]],.],.]],.]
[1,1,0,1,1,1,1,0,0,0,0,0] => [[.,[[[[.,.],.],.],.]],.]
[1,1,1,0,0,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,.]]]]
[1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,.],.],[.,[[.,.],.]]]
[1,1,1,0,0,0,1,1,0,0,1,0] => [[[.,.],.],[[.,.],[.,.]]]
[1,1,1,0,0,0,1,1,0,1,0,0] => [[[.,.],.],[[.,[.,.]],.]]
[1,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],.],[[[.,.],.],.]]
[1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,.]]]
[1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[.,.],.]]
[1,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,.]]],[.,.]]
[1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.]
[1,1,1,0,0,1,0,1,1,0,0,0] => [[[.,.],[.,[[.,.],.]]],.]
[1,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,.],.]],[.,.]]
[1,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[.,.]]],.]
[1,1,1,0,0,1,1,0,1,0,0,0] => [[[.,.],[[.,[.,.]],.]],.]
[1,1,1,0,0,1,1,1,0,0,0,0] => [[[.,.],[[[.,.],.],.]],.]
[1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,.]]]
[1,1,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,.]],.],[[.,.],.]]
[1,1,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[.,.]],[.,.]]
[1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.]
[1,1,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,.]],[[.,.],.]],.]
[1,1,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,.]]],.],[.,.]]
[1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.]
[1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.]
[1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.]
[1,1,1,0,1,1,0,0,0,0,1,0] => [[[.,[[.,.],.]],.],[.,.]]
[1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.]
[1,1,1,0,1,1,0,0,1,0,0,0] => [[[.,[[.,.],[.,.]]],.],.]
[1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.]
[1,1,1,0,1,1,1,0,0,0,0,0] => [[[.,[[[.,.],.],.]],.],.]
[1,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,.]]]
[1,1,1,1,0,0,0,0,1,1,0,0] => [[[[.,.],.],.],[[.,.],.]]
[1,1,1,1,0,0,0,1,0,0,1,0] => [[[[.,.],.],[.,.]],[.,.]]
[1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.]
[1,1,1,1,0,0,0,1,1,0,0,0] => [[[[.,.],.],[[.,.],.]],.]
[1,1,1,1,0,0,1,0,0,0,1,0] => [[[[.,.],[.,.]],.],[.,.]]
[1,1,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],.]
[1,1,1,1,0,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,.]]],.],.]
[1,1,1,1,0,0,1,1,0,0,0,0] => [[[[.,.],[[.,.],.]],.],.]
[1,1,1,1,0,1,0,0,0,0,1,0] => [[[[.,[.,.]],.],.],[.,.]]
[1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.]
[1,1,1,1,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],[.,.]],.],.]
[1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.]
[1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,[[.,.],.]],.],.],.]
[1,1,1,1,1,0,0,0,0,0,1,0] => [[[[[.,.],.],.],.],[.,.]]
[1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.]
[1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[.,.],.],[.,.]],.],.]
[1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[.,.],[.,.]],.],.],.]
[1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.]
[1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[.,[[.,.],[.,[.,.]]]]]]
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[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[.,.],[[[.,.],.],[[[.,.],.],[[.,.],.]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[.,.],[[[[.,.],.],.],[[[.,.],.],[.,.]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[.,.],[[[[.,.],.],.],[[[[.,.],.],.],.]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[.,.],[[[[[[.,.],.],.],.],.],[.,[.,.]]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[.,.],[[[[[[.,.],.],.],.],.],[[.,.],.]]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[.,.],[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[.,.],.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[.,.],.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[.,.],.],[.,[[[[[.,.],.],.],.],[.,.]]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[.,.],.],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[.,.],.],[[.,.],[[.,.],[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,.],.],[[[.,.],.],[[.,.],[[.,.],.]]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[[[.,.],.],[[[[.,.],.],.],.]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[.,.],.],[[[[.,.],.],.],[[[.,.],.],.]]]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[.,.],.],[[[[[[.,.],.],.],.],.],[.,.]]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],.],[.,[.,[[[[.,.],.],.],.]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],.],[.,[[[[.,.],.],.],[.,.]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],.],.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],.],[[.,.],[[[[.,.],.],.],.]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[[.,.],.],.],[[[.,.],.],[[[.,.],.],.]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],.],.],[[[[.,.],.],.],[.,[.,.]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[[.,.],.],.],[[[[.,.],.],.],[[.,.],.]]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[[.,.],.],.],[[[[[.,.],.],.],.],[.,.]]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,[.,[.,[[.,.],.]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[[.,.],.],.],.],[.,[[[.,.],.],[.,.]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,[[[[.,.],.],.],.]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[[.,.],.],.],.],[[.,.],[[.,.],[.,.]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[[.,.],.],.],.],[[[[.,.],.],.],[.,.]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [[[[[[.,.],.],.],.],.],[.,[.,[[.,.],.]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],.],.],.],.],[.,[[.,.],[.,.]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [[[[[[.,.],.],.],.],.],[.,[[[.,.],.],.]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[[.,.],.],.],.],.],[[[.,.],.],[.,.]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [[[[[[[.,.],.],.],.],.],.],[.,[[.,.],.]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[[.,.],.],.],.],.],.],[[.,.],[.,.]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.],.]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]],.]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[.,[[[.,.],.],.]],.],.],.],.],.],.]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[.,[[[[.,.],.],.],.]],.],.],.],.],.]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[.,[[[[[.,.],.],.],.],.]],.],.],.],.]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[.,[[[[[[.,.],.],.],.],.],.]],.],.],.]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[.,[[[[[[[.,.],.],.],.],.],.],.]],.],.]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [.,[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]],.]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]],.]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]],.]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]],.]
[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] => [[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]],.]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]],.]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]],.]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [[[[[[[.,[.,[.,.]]],.],.],.],.],[.,.]],.]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]],.]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]],.]
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]],.]
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]],.]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]],.]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]],.]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]],.]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]],.]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]],.]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
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[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [[[[[[[[.,.],.],[[.,.],.]],.],.],.],.],.]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [[[[[[[.,.],.],[[[.,.],.],.]],.],.],.],.]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [[[[[[[.,.],.],.],[[[.,.],.],.]],.],.],.]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],[[[[.,.],.],.],.]],.],.]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[[.,.],.],.],.],[[[[.,.],.],.],.]],.]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],[.,.]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],[.,.]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],[.,.]]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.],.]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]],.]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]],.]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]],.]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]],.]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]],.]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.],.]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[.,.],.],[[[[[.,[.,[.,.]]],.],.],.],.]]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[[[.,.],.],.],[[[.,[.,[.,[.,.]]]],.],.]]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.],.]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]],.]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[.,[[[[[.,[.,[.,[.,.]]]],.],.],.],.]],.]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [.,[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[[[[[[.,[.,.]],.],.],.],.],.]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[[.,.],.],.],.],.],[[[.,.],.],.]],.]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [[[[[[[[.,.],.],.],.],.],[[.,.],.]],.],.]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[.,[[[[[.,[.,.]],.],.],.],.]],.],.],.]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[[[.,[[[[[.,.],[.,.]],.],.],.]],.],.],.]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[[[.,[[[[[.,.],.],[.,.]],.],.]],.],.],.]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[[[.,[[[[[.,.],.],.],[.,.]],.]],.],.],.]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]],.]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[.,[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]],.]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[[.,[.,[.,.]]],.]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[.,[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]],.]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[.,[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]],.]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[.,[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]],.]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [.,[[.,[.,[.,.]]],[.,[.,[.,[[.,.],.]]]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[[.,.],.]]]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0] => [[[[[[[.,[.,[.,.]]],.],.],.],[.,.]],.],.]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[[.,[[[[[.,[.,[.,.]]],.],.],.],.]],.],.]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[[[.,[.,[.,[.,[[[.,.],.],.]]]]],.],.],.]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[[[.,[.,[.,[[[[.,.],.],.],.]]]],.],.],.]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[.,[.,[.,[[[[[.,.],.],.],.],.]]]],.],.]
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.],.]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [[[[[[[[.,.],.],.],.],.],.],[[.,.],.]],.]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[[.,.],.],.],[[[[[.,.],.],.],.],.]],.]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[.,.],.],[[[[[[.,.],.],.],.],.],.]],.]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[.,.],[[[[[[[.,.],.],.],.],.],.],.]],.]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[.,[[[[[[[.,.],.],[.,.]],.],.],.],.]],.]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[[.,[[[[[[.,.],.],.],[.,.]],.],.]],.],.]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.],.]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [[[[[.,[[[[.,.],.],.],.]],.],[.,.]],.],.]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[[[[[.,[[[.,.],.],.]],.],.],.],[.,.]],.]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]],[.,.]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]],[.,.]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],[.,.]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.],.]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.],.]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.],.]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [[[[[[.,[.,[.,.]]],[.,[.,.]]],.],.],.],.]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[.,[.,.]],[.,[.,[.,.]]]],.],.],.],.]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,[.,.]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,[.,[.,.]]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],[.,[.,[.,[.,.]]]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[.,[.,[.,.]]],.],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],.],.],.],.],[.,[.,[.,.]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],[.,[.,.]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.],.]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.],.],.]
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[.,[.,[[[[[.,.],.],.],.],.]]],.],.],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,.]],.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.],.]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0] => [[[[[[.,[.,[.,[.,.]]]],.],[.,.]],.],.],.]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[.,[[[.,[.,[.,[.,.]]]],.],.]],.],.],.]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[.,[.,.]],.],.],.],[[[[.,.],.],.],.]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [.,[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]]]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [[[[[.,[.,[.,[[.,[.,.]],.]]]],.],.],.],.]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],[.,.]],.]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[.,[.,[[.,[.,[.,.]]],.]]],.],.],.],.]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]],.],.]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[.,[[.,[.,[.,[.,.]]]],.]],.],.],.],.]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[[.,.],[.,[.,[.,[[.,.],.]]]]],.],.],.]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [.,[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[.,.],.],[[[.,.],.],.]],[[[.,.],.],.]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [.,[.,[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [.,[.,[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [.,[.,[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[[.,.],[.,.]],.],.],.],.],[[.,.],.]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],.]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,.],[[.,.],[[.,.],.]]]],[.,.]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[[.,.],[[.,.],[[.,.],.]]],[[.,.],[.,.]]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[.,.],[[.,.],.]],[[.,.],[[.,.],[.,.]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [.,[.,[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [.,[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[[.,.],.]]]],[.,[.,[.,[.,.]]]]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [.,[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [[.,[[[[[.,.],.],[.,[.,[.,.]]]],.],.]],.]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [[.,[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]],.]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [[[.,[.,[[[[.,.],.],.],[.,[.,.]]]]],.],.]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[.,[.,[.,[[[.,.],.],.]]]],.],[.,.]],.]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],[.,.]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],[.,.]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[[.,[.,.]],[.,.]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,.]]],[.,[[.,[.,[.,.]]],[.,.]]]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,.]],[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,.],[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,[.,.]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0] => [[[[[[[.,[.,.]],.],.],.],.],[.,[.,.]]],.]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0] => [[[[[[[.,[.,.]],.],.],.],[.,[.,.]]],.],.]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0] => [[[[[[[.,[.,.]],.],.],[.,[.,.]]],.],.],.]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [[[[[[[.,[.,.]],.],[.,[.,.]]],.],.],.],.]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [[[[[[[.,[.,.]],[.,[.,.]]],.],.],.],.],.]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[[.,.],[[[.,.],.],.]],.],.],.],.],.]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[.,.],[[.,[.,[.,[.,.]]]],.]],.],.],.]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [.,[.,[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,.],[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [[[[[[.,.],.],[[[[.,.],.],.],.]],.],.],.]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.],.],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.],.]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]],.]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[.,.],[[[[[[.,.],.],.],.],.],.]],.],.]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[[[.,.],.],.],[[[[.,.],[[.,.],.]],.],.]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [[[[[.,.],.],.],.],[[[[.,.],[.,.]],.],.]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [[[[[.,.],.],.],.],[[[.,[[.,.],.]],.],.]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[.,.],.],[[[[[.,.],.],[[.,.],.]],.],.]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.],.]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[.,[.,.]],.],.],.],[.,.]],.],.],.]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[.,[.,.]],.],.],[.,.]],.],.],.],.]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[.,[.,.]],.],[.,.]],.],.],.],.],.]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[.,[[[.,[.,.]],.],.]],.],.],.],.],.]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[.,[[[[.,[.,.]],.],.],.]],.],.],.],.]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.],.]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]],.]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],.]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],.]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[.,.],[[.,[[.,.],[[.,.],[.,.]]]],.]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],[[.,[[.,.],[.,.]]],.]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [.,[[[[.,[.,.]],.],.],[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [.,[.,[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[[.,.],.],[.,[.,[.,[.,.]]]]],.],.],.]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.],.],.]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]],.],.]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],[[[.,[.,[.,.]]],.],.]],.]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[.,[.,[[.,[.,.]],.]]],.],.],.],.],.]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]],.]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[.,[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]],.]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[.,[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]],.]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[.,[[.,.],[[.,.],[[.,.],.]]]],[.,[.,.]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[.,[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[.,[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]],.]
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]],.]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]],.]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],[.,.]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],[.,.]]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.],.]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]],.]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],[.,.]]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [.,[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.],.]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.],.]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]],.],.]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [.,[[.,.],[[[.,.],[[.,.],[[.,.],.]]],.]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [.,[[.,.],[[.,.],[[[.,.],[[.,.],.]],.]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [.,[.,[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [.,[.,[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [.,[.,[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [.,[.,[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]],.]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,.]]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[.,.],.],[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]],.]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],.]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],.]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],.]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],.]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],.]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],.]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],.]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],.]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],.]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],.]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],.]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],.]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],.]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],.]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],.]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],.]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],.]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],.]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],.]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[[.,[.,.]],[.,.]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],[.,.]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,.]]],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,.]],[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],[.,.]]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[.,[.,[.,[.,.]]]],[[[.,.],[.,.]],[.,.]]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[.,[.,[.,.]]],[[[.,.],[.,[.,.]]],[.,.]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[.,.]],[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,.],[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]],.],.]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[[[.,.],[.,[.,[[.,.],[[.,.],.]]]]],.],.]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.],.]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[.,[[.,.],.]],.],.],.],.],[[.,.],.]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.],.],.]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]],.],.]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[.,[.,[.,[[.,[.,.]],.]]]],.],[.,.]],.]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[[[.,[.,[[[.,[.,.]],.],.]]],[.,.]],.],.]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [[[[.,[[[.,[.,[.,.]]],.],[.,.]]],.],.],.]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0] => [[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]],.]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0] => [[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]],.]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0] => [[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]],.]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[[.,[[[[[[.,.],[.,.]],.],.],.],.]],.],.]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]],.]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.],.]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.],.]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.],.]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],.],[[.,.],.]],[[.,.],[[.,.],.]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],[[.,.],.]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],[.,.]],.]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]],.]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]],.]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]],.],.]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [.,[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],[.,.]]]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[.,[.,.]],.],[[[[[.,.],.],.],.],[.,.]]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[.,[.,.]],.],.],[[[[.,.],.],.],[.,.]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[.,[.,.]],.],.],.],[[[.,.],.],[.,.]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[.,[.,.]],.],.],.],.],[[.,.],[.,.]]]
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [[.,[[[[[[.,.],[.,[.,.]]],.],.],.],.]],.]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [[.,[[[[[.,.],[.,[.,[.,.]]]],.],.],.]],.]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[.,[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]],.]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [.,[[.,.],[.,[[[.,[[.,[.,.]],.]],.],.]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [.,[[.,[[[.,[[.,[.,.]],.]],.],[.,.]]],.]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [.,[[[[.,[[.,[.,.]],.]],.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [.,[[.,[[.,.],[.,[[[.,[.,.]],.],.]]]],.]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [.,[[[.,.],[.,[[[.,[.,.]],.],.]]],[.,.]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [.,[[.,[[[.,[.,.]],.],.]],[.,[[.,.],.]]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [.,[[[[.,[.,.]],.],.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [.,[[.,[[.,[[[.,[.,.]],.],[.,.]]],.]],.]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [.,[[[.,[[[.,[.,.]],.],[.,.]]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[.,.],[.,[[[[.,[.,.]],.],[.,.]],.]]]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,[.,.]],.],[.,.]],[.,.]]],.]]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[.,[.,.]],.],[.,.]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [.,[[.,[[.,[[.,.],[.,[[.,.],.]]]],.]],.]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [.,[[[.,[[.,.],[.,[[.,.],.]]]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [.,[[.,.],[.,[[[.,.],[.,[[.,.],.]]],.]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[[[.,.],[.,[[.,.],.]]],[.,.]]],.]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [.,[[[[.,.],[.,[[.,.],.]]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [.,[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [.,[[[.,.],.],[.,[[.,[[.,.],.]],[.,.]]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [.,[[.,[[.,.],[.,.]]],[.,[[[.,.],.],.]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [.,[[[.,.],[.,.]],[.,[[[.,.],.],[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [.,[[.,[[.,[[.,.],.]],[.,[[.,.],.]]]],.]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [.,[[[.,[[.,.],.]],[.,[[.,.],.]]],[.,.]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [.,[[.,[[[.,.],.],[.,[[.,.],[.,.]]]]],.]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [.,[[[[.,.],.],[.,[[.,.],[.,.]]]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [.,[[.,.],[.,[[[.,[[.,.],[.,.]]],.],.]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [.,[[.,[[.,.],[.,[[[.,.],[.,.]],.]]]],.]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [.,[[[.,.],[.,[[[.,.],[.,.]],.]]],[.,.]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [.,[[.,[[[.,.],[.,.]],.]],[.,[[.,.],.]]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [.,[[[[.,.],[.,.]],.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [.,[[.,.],[.,[[[[.,.],[.,.]],[.,.]],.]]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[.,[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]],.]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[.,[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]],.]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]],.]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [[[[[[[.,.],.],.],.],.],.],[[.,[.,.]],.]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0] => [[[[[[.,.],.],.],.],.],[[.,[.,[.,.]]],.]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],[[.,[.,[.,[.,.]]]],.]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[.,[.,[.,[.,[.,.]]]]],.]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.],.]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [.,[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[.,.],[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [[.,[[[[[[.,[.,.]],.],.],.],.],[.,.]]],.]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [.,[[[[[[.,[.,.]],.],.],.],.],[.,[.,.]]]]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [.,[.,[[[[[[.,[.,.]],.],.],.],.],[.,.]]]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [.,[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [.,[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]],.]
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]],.]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]],.]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[.,[.,.]],.],.],.],[[[.,.],.],.]],.]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]],.]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.],.]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[.,[[.,[.,[.,.]]],.]],.],.],.],.],.]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[.,.]],[[.,.],[[.,.],.]]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [[[.,[[[[.,.],.],.],[[.,.],.]]],[.,.]],.]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],[[.,.],[[.,.],.]]]],[.,.]],.]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[.,.],[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[.,.],[.,[.,.]]],[[[.,.],.],[.,.]]],.]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],[[.,.],.]]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [.,[[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [.,[[[.,[[.,[[.,[[.,.],.]],.]],.]],.],.]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[[.,[.,.]],.]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[[.,.],.]]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],[.,[.,[.,[.,.]]]]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [.,[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[.,[[.,[[.,.],.]],.]],[[.,[.,.]],.]],.]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[[.,.],.]],.]],[.,.]],[.,[.,.]]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[.,[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],.]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[.,[[[.,[[.,.],.]],[.,.]],.]],[.,[.,.]]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [.,[[[[.,[[.,.],.]],[.,.]],[.,.]],[.,.]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,.]],[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],[[.,.],.]],[.,[[.,[.,.]],.]]]
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[.,[[.,[[[.,.],[[.,[.,.]],.]],.]],.]],.]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[[[.,.],[[.,[.,.]],.]],[.,.]]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[.,[[.,[[[.,.],[.,.]],.]],.]],[.,[.,.]]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [.,[[[.,[[[.,.],[.,.]],.]],[.,.]],[.,.]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [.,[[.,[[[[.,.],[.,.]],[.,.]],.]],[.,.]]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],[[.,[.,.]],[.,.]]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[.,[[[.,[.,.]],.],.]],[.,[[.,[.,.]],.]]]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [.,[[[[.,[.,.]],.],[[.,[.,.]],.]],[.,.]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],[[.,[.,.]],.]]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[.,[.,.]],.],[.,.]],[.,.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[.,[[.,[[.,[[[.,[.,.]],.],.]],.]],.]],.]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[.,[.,.]],[[.,[[[.,[.,.]],.],.]],[.,.]]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [.,[[[.,[.,.]],[[[.,[.,.]],.],.]],[.,.]]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[.,[.,.]],[.,[[[[.,[.,.]],.],[.,.]],.]]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[.,[.,.]],[[[[.,[.,.]],.],[.,.]],.]]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[.,[[.,[[.,[[.,.],.]],.]],.]],[.,[.,.]]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [.,[[[.,[[.,[[.,.],.]],.]],[.,.]],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,[[.,.],.]],[[.,[.,.]],.]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [.,[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,.]]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [.,[.,[[[[.,[[.,.],.]],[.,.]],[.,.]],.]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [.,[[[.,[.,.]],[[.,.],.]],[[.,[.,.]],.]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[[.,[.,.]],[[.,.],.]],[.,.]],[.,.]],.]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,.],[[.,[.,.]],.]],.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[[[.,.],[[.,[.,.]],.]],.]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [.,[[.,[[.,[[[.,.],[.,.]],.]],.]],[.,.]]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],[[[.,.],[.,.]],.]],[.,.]],.]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[[[.,.],[.,.]],[.,.]],.]],.]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],.]],.]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]],.],.]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]],.],.]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]],.]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [[[.,[.,[.,[.,.]]]],[[[[.,.],.],.],.]],.]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[[.,[.,[.,.]]],[[[[.,[.,.]],.],.],.]],.]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[.,[.,.]],[[[[.,[.,[.,.]]],.],.],.]],.]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[.,.],[[[[.,[.,[.,[.,.]]]],.],.],.]],.]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]],.]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[.,[[[.,[[.,.],[[.,[.,.]],.]]],.],.]],.]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[.,[[[.,.],[[[[.,.],.],.],[.,.]]],.]],.]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[.,[[[.,[[.,[.,.]],[[.,.],.]]],.],.]],.]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[.,[[[.,.],[[[.,[[.,.],.]],.],.]],.]],.]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[.,[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]],.]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[.,[[.,[[.,[.,.]],[[[.,.],.],.]]],.]],.]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [[.,[[[[.,.],.],[[.,[.,.]],[.,.]]],.]],.]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[.,[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]],.]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [[.,[[[[[.,.],[.,.]],.],[[.,.],.]],.]],.]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [[.,[[[[.,.],[[.,[.,.]],[.,.]]],.],.]],.]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[.,[[.,[[[[.,.],.],.],[[.,.],.]]],.]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [[.,[[[[.,[.,.]],[[.,.],[.,.]]],.],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],.]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[.,.],[.,[[[.,[[.,.],.]],[.,.]],.]]],.]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[.,.],[.,[[[.,.],[[[.,.],.],.]],.]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[.,.],[.,[[.,[[.,[.,.]],[.,.]]],.]]],.]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[.,.],[.,[[[[.,.],.],[[.,.],.]],.]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]],.]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]],.]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[.,.],[.,.]],[.,[[.,[[.,.],.]],.]]],.]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[.,[[.,.],.]],[.,[[[.,.],[.,.]],.]]],.]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]],.]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[.,[[.,.],.]],[.,.]],[.,[[.,.],.]]],.]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[.,.],[[[.,.],.],.]],[.,[[.,.],.]]],.]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[.,[[.,[.,.]],[.,.]]],[.,[[.,.],.]]],.]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[[.,.],.],[[.,.],.]],[.,[[.,.],.]]],.]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [[[.,[[[.,.],[.,.]],.]],[.,[[.,.],.]]],.]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[[[.,[[[.,.],[.,.]],.]],[.,.]],[.,.]],.]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[.,[[.,.],[[.,[.,.]],.]]],.],[.,.]],.]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[.,.],[[[[.,.],.],.],[.,.]]],[.,.]],.]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [[[[.,[[.,[.,.]],[[.,.],.]]],.],[.,.]],.]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[[[.,.],[[[.,[[.,.],.]],.],.]],[.,.]],.]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[[.,[[.,[.,[[.,.],.]]],[.,.]]],[.,.]],.]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[.,[.,.]],[[[.,.],.],.]]],[.,.]],.]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[[.,.],.],[[.,[.,.]],[.,.]]],[.,.]],.]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [[[.,[[[.,.],[.,[.,.]]],[.,.]]],[.,.]],.]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [[[[[[.,.],[.,.]],.],[[.,.],.]],[.,.]],.]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[[.,[.,.]],[.,.]]],.],[.,.]],.]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,[.,.]],[[.,.],[.,.]]],.],[.,.]],.]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,.]],.]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[[.,.],[.,.]],[[.,.],[[.,.],.]]],.],.]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [.,[[[.,.],[.,[[[.,.],.],[[.,.],.]]]],.]]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,.],[.,[.,[[.,.],[[.,.],.]]]]],.]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,.],[.,[[.,.],[.,[[.,.],.]]]]],.]]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,.],[.,[[.,[[.,.],.]],[.,.]]]],.]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[.,[[.,.],[.,.]]],[.,[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]],.]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0] => [[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]],.]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0] => [[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]],.]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]],.]
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,[[.,.],.]],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [.,[[.,[[.,.],[[.,.],.]]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [.,[[.,[[.,.],[[.,.],[[.,.],.]]]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [.,[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],.]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [.,[[.,[[.,.],[.,.]]],[[.,.],[[.,.],.]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [.,[[.,[[[.,.],[.,.]],.]],[[.,.],[.,.]]]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],[.,.]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],[.,.]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[[.,.],.],[[[.,.],.],[[[.,.],.],.]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,[.,.]],.]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[.,.],[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[.,.],[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[.,.],[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[.,.],[.,[[.,.],[[.,[.,[.,.]]],.]]]],.]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[.,.],[.,[[[.,.],[.,[.,.]]],[.,.]]]],.]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,.],[[.,[.,[[.,.],.]]],[.,[.,.]]]],.]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[[[.,.],[.,[.,.]]],[[.,.],[.,[.,.]]]],.]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[[.,.],[[.,[[.,[.,[.,.]]],.]],.]],[.,.]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [[[.,.],[[[.,[.,[.,.]]],[.,.]],.]],[.,.]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[.,.],[.,[[.,.],[.,[.,.]]]]],.],[.,.]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[.,.],[[.,[.,[.,.]]],.]],[.,.]],[.,.]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[.,.],[.,[.,.]]],[.,.]],[.,.]],[.,.]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [.,[.,[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[.,[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [.,[.,[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [.,[.,[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[[.,.],.]]],[[.,[.,[.,.]]],.]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [.,[[.,[.,[[[.,.],.],[.,[.,.]]]]],[.,.]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],[[.,[.,[.,.]]],.]]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [.,[[.,[[.,[.,[[.,.],.]]],.]],[.,[.,.]]]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [.,[[[.,[.,[.,.]]],[[.,.],.]],[.,[.,.]]]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],[.,[.,.]]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[.,[[.,[.,[.,.]]],.]],[[.,.],[.,[.,.]]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[.,[.,[.,.]]],[.,.]],[[.,.],[.,[.,.]]]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [.,[[.,[[.,[[.,[.,[[.,.],.]]],.]],.]],.]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [.,[[.,[[[.,[.,[.,.]]],[[.,.],.]],.]],.]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [.,[[[.,[.,[[.,.],[.,[[.,.],.]]]]],.],.]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [.,[[[.,[[.,[.,[.,.]]],.]],[[.,.],.]],.]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [.,[[[[.,[.,[.,.]]],[.,.]],[[.,.],.]],.]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[.,[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]],.]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [[.,[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]],.]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[.,[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]],.]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[.,[.,[.,.]]],[[.,.],[.,[[.,.],.]]]],.]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],[[.,.],.]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],[[.,.],.]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],[[.,.],.]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],[[.,.],.]]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]],.]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [[[[.,[[[[.,.],.],.],.]],.],[[.,.],.]],.]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[[.,.],.],[[[.,[[[.,.],.],.]],.],.]],.]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [[[[[.,[[.,.],.]],.],.],[[[.,.],.],.]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]],.]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],.],.]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,.],[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [[[.,[[[.,[[[.,[.,.]],.],.]],.],.]],.],.]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [[[.,[[[.,[[[.,.],[.,.]],.]],.],.]],.],.]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [[[.,[[[.,.],[.,.]],.]],[.,.]],[[.,.],.]]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[[[.,[.,[.,[[[.,[.,.]],.],.]]]],.],.],.]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[.,[.,[[[.,[.,[.,.]]],.],.]]],.],.],.]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],[[.,[.,.]],.]],.]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[.,[.,[.,.]]],.],[[[[.,.],.],.],.]],.]
[1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[.,.],[[[[[.,[.,[.,.]]],.],.],.],.]],.]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[.,[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [.,[.,[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [.,[.,[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]]]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [[[[[.,[.,[.,[[.,.],.]]]],.],.],.],[.,.]]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.],.]
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[[.,.],[[.,[.,.]],.]],.],.],.],.],.]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[.,[[.,[.,[.,[.,.]]]],.]],.],.],[.,.]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],[.,.]]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[[[[.,[[.,[.,[.,[.,.]]]],.]],.],.],.]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [.,[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[.,.],[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]],.],.]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [[[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.],.]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]],.],.]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [[[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]],.],.]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]],.]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [[[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.],.],.]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]],.]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[.,.],[[[.,[[[.,.],[.,[.,.]]],.]],.],.]]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[.,.],[[[[.,[.,[[.,.],.]]],[.,.]],.],.]]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[.,.],[[[[[.,[.,[.,[.,.]]]],.],.],.],.]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],[[.,.],[[[.,[.,.]],.],.]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [[[.,[[[.,.],[.,[.,.]]],.]],.],[[.,.],.]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[[[.,[.,[[.,.],.]]],[.,.]],.],[[.,.],.]]
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[.,.],[.,[[[[[[.,.],.],.],.],.],.]]],.]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[[.,[.,.]],[.,[[[[.,[.,.]],.],.],.]]],.]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],[.,[[[[.,.],.],.],.]]],.]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [[[[[.,[.,.]],.],.],[.,[[.,[.,.]],.]]],.]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0] => [[[[[[[.,.],.],.],.],.],[.,[[.,.],.]]],.]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [[[[[.,[.,[.,[.,.]]]],[[.,.],.]],.],.],.]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [[[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.],.],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,[.,[.,[.,.]]]],[[.,.],[[.,.],[.,.]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [.,[[.,[[[.,.],[[.,.],[.,.]]],.]],[.,.]]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [.,[[.,[[[.,.],[[.,.],[[.,.],.]]],.]],.]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [.,[[.,[[[.,.],[[.,.],.]],[.,.]]],[.,.]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [.,[[.,[[[.,.],.],[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,[.,[.,.]]],[[.,.],[[.,.],[.,.]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.],.]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [[[[[.,.],[[.,.],[.,.]]],[.,[.,.]]],.],.]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[[[.,.],[[[.,.],[.,[.,.]]],.]],[.,.]],.]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [[[[[.,.],[.,.]],[[.,[.,.]],[.,.]]],.],.]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[[[.,.],[[.,.],[[.,[.,[.,.]]],.]]],.],.]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[.,.],[[[[.,[.,.]],.],[.,.]],[.,.]]],.]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[[.,.],[[[.,[[.,.],.]],[.,[.,.]]],.]],.]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[.,.],[.,[[[.,.],[.,.]],.]]],[.,.]],.]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[[.,.],[[.,[[[.,[.,.]],.],.]],[.,.]]],.]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[[[[.,.],[.,[.,.]]],[[.,.],[.,.]]],.],.]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[[[.,.],[[.,[.,.]],[[.,[.,.]],.]]],.],.]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[.,.],[[[.,[.,[[.,.],.]]],[.,.]],.]],.]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[[[.,.],[.,[[.,[[.,.],[.,.]]],.]]],.],.]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[.,[[[[[.,.],.],[.,.]],[.,.]],[.,.]]],.]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [[.,[[[[.,.],.],[[.,.],[.,[.,.]]]],.]],.]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[.,[[[.,.],.],[[[.,[.,.]],.],[.,.]]]],.]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [[.,[[[[.,.],.],[.,[[.,.],[.,.]]]],.]],.]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[[.,.],.],[[.,[[.,[.,.]],.]],.]]],.]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[[[[.,.],.],[.,.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[[[.,.],.],[[.,[.,.]],.]]],.]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[.,[[.,[[[[.,.],.],.],[.,.]]],[.,.]]],.]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[.,[[.,[[[.,.],.],.]],[[.,[.,.]],.]]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[[[.,.],.],[.,.]]],.]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[.,.],[.,[[[.,.],.],.]]]],[.,.]],.]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[.,[[[.,[.,.]],.],[[[.,.],.],[.,.]]]],.]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[.,[[.,.],[[[.,.],.],.]]]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[.,[[.,[[.,[[[.,.],.],.]],.]],[.,.]]],.]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],.]],.]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [[[[.,[[.,.],[.,.]]],[.,[[.,.],.]]],.],.]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [[[.,[[[.,.],[.,[.,.]]],.]],[[.,.],.]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[.,[.,.]],[[.,[.,.]],[[.,.],.]]],.],.]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[[.,[[.,.],[[.,[.,[[.,.],.]]],.]]],.],.]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [[.,[[[[.,[.,.]],.],[.,.]],[[.,.],.]]],.]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[.,[[[.,[[.,.],.]],[.,[[.,.],.]]],.]],.]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [[[.,[.,[[[.,.],[.,.]],.]]],[[.,.],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [[.,[[.,[[[.,[.,.]],.],.]],[[.,.],.]]],.]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[.,[.,[.,.]]],[[.,.],[[.,.],.]]],.],.]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[.,[[.,[.,.]],[[.,[[.,.],.]],.]]],.],.]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[.,[[[.,[.,[[.,.],.]]],[[.,.],.]],.]],.]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[.,[.,[[.,[[.,.],[[.,.],.]]],.]]],.],.]
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[.,.],[[[[[[[.,.],[.,.]],.],.],.],.],.]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [.,[.,[[[[[[[.,.],.],[.,.]],.],.],.],.]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[.,.],[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]],.]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[.,.],[[[[[[.,[.,[.,.]]],.],.],.],.],.]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[.,.],[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[.,[[.,[.,[.,[[.,.],.]]]],.]],.],.],.]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[.,.],[[[[[.,[.,.]],[.,.]],.],[.,.]],.]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[.,.],[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,.],[[.,[[[.,[[.,[.,.]],.]],.],.]],.]]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[.,.],[[[.,.],.],[.,.]]],[.,[.,.]]],.]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[[[.,.],[[.,.],.]],[.,[[.,[.,.]],.]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[[.,.],[.,[[.,[[[.,.],.],[.,.]]],.]]],.]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[[.,.],[[[.,.],[.,[.,.]]],.]],.],[.,.]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[[[.,.],[.,.]],[.,.]],.],[.,.]],[.,.]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]],[.,.]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[[.,.],[[[.,[[.,[.,.]],.]],.],.]],[.,.]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[[[[.,.],[.,[[.,.],.]]],[.,.]],.],[.,.]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[.,[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [.,[.,[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]]]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [.,[.,[[[[.,.],[[[.,.],.],[.,.]]],.],.]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [.,[.,[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [.,[.,[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [.,[[[.,[[.,.],.]],.],[[[.,[.,.]],.],.]]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [.,[[[.,[[[[.,.],.],.],[.,.]]],.],[.,.]]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[.,[.,.]],.],[[[[.,.],[.,.]],.],[.,.]]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [.,[[[.,[.,.]],[.,[[.,.],.]]],[.,[.,.]]]]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [.,[[.,[.,[[.,[[.,.],.]],.]]],[.,[.,.]]]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[[[.,.],.],[[.,.],.]]],.],[.,[.,.]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[.,[.,.]],[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[.,[.,[[.,[.,.]],.]]],[[.,.],[.,[.,.]]]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],[.,[[.,.],.]]],.]],.],.]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [.,[[[[[.,[.,.]],[.,.]],.],[[.,.],.]],.]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [.,[[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]],.]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [.,[[.,[[[.,[[.,[[.,.],.]],.]],.],.]],.]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [.,[[[[.,[.,[[.,.],.]]],[[.,.],.]],.],.]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[[.,[[[.,.],.],[.,.]]],[.,[[.,.],.]]],.]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[[.,[.,.]],[.,[[[.,.],[[.,.],.]],.]]],.]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[.,[.,[[.,[[[.,.],.],[[.,.],.]]],.]]],.]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[[.,[.,.]],[.,.]],.],[.,.]],[[.,.],.]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],[[.,.],.]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[.,[[[.,[[.,[.,.]],.]],.],.]],[[.,.],.]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[.,.],[.,.]],[[[[.,.],.],.],[.,[.,.]]]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,.],[.,[[.,[[[.,.],.],.]],[[.,.],.]]]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[.,.],[.,[.,.]]],[[[[.,.],.],.],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,.]],[[.,[[[.,.],.],.]],[[.,.],.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[.,[.,.]],.],[.,[[[[.,.],.],.],[.,.]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[.,[[.,[.,.]],.]],[[[[.,.],.],.],[.,.]]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[.,[[.,[[[.,.],.],[.,.]]],.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[[.,[.,.]],.],[.,[[[[.,.],.],[.,.]],.]]]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,[[.,.],[.,[[[.,.],.],.]]]],[[.,.],.]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[[.,.],[.,[.,.]]],[[[[.,.],.],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,[[.,[.,.]],[[[.,.],.],.]]],[[.,.],.]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],[.,.]],[[[[.,.],.],[.,[.,.]]],.]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[[[.,.],.],.]],[[.,[.,.]],.]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[.,.],[.,.]],.],.],[.,[[.,.],[.,.]]]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [[.,[[[[.,.],[.,.]],.],.]],[[.,.],[.,.]]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[[.,.],[.,.]],.],.],[.,[[.,[.,.]],.]]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [[.,[[[[.,.],[.,.]],.],[.,.]]],[[.,.],.]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],[[.,[.,.]],.]]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[.,.],[.,[[[[.,.],[.,[[.,.],.]]],.],.]]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[.,[.,.]],[[[[.,.],[.,[[.,.],.]]],.],.]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[.,.],[.,[[[[.,[.,.]],[[.,.],.]],.],.]]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[.,[.,.]],[[[[.,[.,.]],[[.,.],.]],.],.]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [[[[[.,.],.],[.,[[.,.],[.,.]]]],.],[.,.]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0] => [[[[.,[[.,.],.]],[[.,.],[.,.]]],.],[.,.]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0] => [[[[[.,.],.],[.,[[.,[.,.]],.]]],.],[.,.]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [[[[.,[[.,.],[.,.]]],[[.,.],.]],.],[.,.]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[[[[.,.],[.,.]],[[.,[.,.]],.]],.],[.,.]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[[.,.],[.,[[[.,.],.],[.,[[.,.],.]]]]],.]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],[.,.]],[[[.,.],.],[.,[.,.]]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,.],[.,[[.,[[.,.],.]],[[.,.],.]]]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[.,.]],[[.,[[.,.],.]],[[.,.],.]]],.]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,[[[.,.],.],[.,.]]]],.]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[[[.,.],.],[.,.]]],.]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[[[.,.],.],[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[.,[.,.]],.],[.,[[[.,.],[.,.]],.]]],.]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[[.,.],[.,[[.,.],.]]]],[[.,.],.]],.]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [[[[.,.],[.,[.,.]]],[[[.,.],[.,.]],.]],.]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[[.,[.,.]],[[.,.],.]]],[[.,.],.]],.]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [[[[.,.],[.,.]],[[[.,.],[.,[.,.]]],.]],.]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[.,[.,.]],[[.,.],.]],[[.,[.,.]],.]],.]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0] => [[[[[[.,[[.,.],.]],.],.],.],[.,[.,.]]],.]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [[[[[.,[[[.,.],.],.]],.],[.,[.,.]]],.],.]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [[[[.,[[[[.,.],.],.],[.,[.,.]]]],.],.],.]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [[[.,[[[[[.,.],.],[.,[.,.]]],.],.]],.],.]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [[[[[[[[.,.],.],.],.],[[.,.],.]],.],.],.]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [[[[[[[[.,.],.],.],[[.,.],.]],.],.],.],.]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0] => [[[[[[[[.,.],[.,.]],.],.],.],[.,.]],.],.]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0] => [[[[[[[.,[[.,.],.]],.],.],.],[.,.]],.],.]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],.]],.]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [[.,[[.,[[[[.,.],[.,.]],[.,.]],.]],.]],.]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],[.,[.,.]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[[.,[.,[.,[[.,.],.]]]],.],[.,[.,[.,.]]]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],[.,[.,[.,[.,.]]]]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[.,[[.,.],.]],.],[.,[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [.,[.,[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [.,[.,[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]]]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [.,[.,[.,[[.,[[[[.,[.,.]],.],.],.]],.]]]]
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [.,[.,[[.,[[[[[.,[.,.]],.],.],.],.]],.]]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[[.,.],[.,[.,[.,.]]]],[.,.]],.],.],.]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [[[[[.,.],.],.],[[[.,.],.],.]],[.,[.,.]]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[.,.],[[[[.,.],.],[[[.,.],.],.]],[.,.]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[.,.],[[.,.],[[[[.,.],.],[[.,.],.]],.]]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[[.,.],.]],.],[[.,.],[[.,.],.]]]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[.,.],.],[[[[.,.],[.,.]],.],[[.,.],.]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[[[.,.],.],[[[.,[.,.]],.],.]]]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[.,[.,[[[.,.],.],.]]],.],.],.],.],.]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[[.,.],[.,[[.,.],.]]],.],.],.],.],.]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[.,[.,.]],[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [.,[[.,.],[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[.,[[.,[[[.,[[.,.],[.,.]]],.],.]],.]]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [.,[.,[[[.,[[.,[[.,.],.]],[.,.]]],.],.]]]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [.,[.,[[.,[.,.]],[[[[.,.],[.,.]],.],.]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [.,[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],.]]]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [.,[.,[[.,[[.,[[[.,.],.],.]],[.,.]]],.]]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [.,[.,[.,[[[.,.],[[[.,.],.],[.,.]]],.]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [.,[[.,[.,.]],[[.,[[[.,.],.],[.,.]]],.]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [.,[.,[.,[[[[.,.],.],[[.,.],[.,.]]],.]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [.,[.,[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,[[.,.],[.,.]]],.],.]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[.,[.,.]],[.,[[.,[[[.,.],.],[.,.]]],.]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[.,[.,.]],[.,[[.,.],[[[.,.],[.,.]],.]]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[.,[[[.,.],[.,.]],.]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[.,[[[.,.],[.,.]],.]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [.,[[.,[[.,[[.,[[.,.],.]],.]],.]],[.,.]]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [.,[.,[[[.,[[.,.],[[.,.],.]]],.],[.,.]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [.,[[[.,[.,.]],[[.,[[.,.],.]],.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [.,[[.,[[.,[.,.]],.]],[[[.,.],.],[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [.,[[.,[.,.]],[[.,.],[[[.,.],.],[.,.]]]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[.,.]],[[.,[[.,[[.,.],.]],.]],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[.,[.,.]],[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[.,[[.,[.,.]],.]],[[.,[[.,.],.]],[.,.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[.,.]],[[.,[[.,.],.]],[.,.]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [.,[[[.,[[.,[.,.]],.]],.],[[.,.],[.,.]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [.,[.,[[[[.,.],[.,.]],.],[[.,.],[.,.]]]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[.,[.,.]],[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [.,[.,[[[[.,.],.],[.,.]],[[.,.],[.,.]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [.,[.,[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [.,[.,[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [.,[.,[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]],.]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[[[.,[[.,.],.]],[.,.]],[.,.]],[.,.]],.]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[.,[[.,.],[[.,.],.]]],[.,.]],[.,.]],.]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],[[.,.],.]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[.,[.,[.,.]]],[[.,.],[[.,.],[[.,.],.]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [.,[[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]],.]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [.,[[.,[.,[.,[.,.]]]],[[.,[[.,.],.]],.]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [.,[[.,[.,[.,.]]],[.,[[.,[[.,.],.]],.]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [.,[[.,[.,.]],[.,[.,[[.,[[.,.],.]],.]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [.,[[.,.],[.,[.,[.,[[.,[[.,.],.]],.]]]]]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.],.]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[[[.,[.,[.,[.,[.,.]]]]],.],[[.,.],.]],.]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[.,.],[[[.,[.,[.,[.,[.,.]]]]],.],.]],.]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [.,[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [.,[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [.,[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],[.,.]]],.]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],[.,.]]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],[.,.]]],.]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[.,[[.,[[.,[.,.]],.]],.]],[.,[.,.]]],.]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [[[.,[[[.,[.,.]],[.,.]],.]],[.,[.,.]]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,[.,.]]],.]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[.,[[.,[.,.]],.]],[.,.]],[.,[.,.]]],.]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]],.]
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[[.,[[.,[[[[[.,.],.],.],.],.]],.]],.]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [.,[[.,[[.,[[.,[[[.,.],.],.]],.]],.]],.]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]],.]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],[.,.]]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [.,[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],[.,.]]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],[.,.]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [.,[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [.,[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.]]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],[.,.]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [.,[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]]
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [.,[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]
[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] => [.,[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]],.]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]],.]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]],.]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.],.]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]],.]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]],.]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]],.]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]],.]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.],.]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]],.]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]],.]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.],.]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],[.,.]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.],.]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],[.,.]],.],.]
[1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]],.],.]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[[[[[.,[.,.]],.],.],.],.],.]]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.],.]
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.],.],.]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [.,[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.],.],.]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.],.],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],[.,.]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,[.,.]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],[.,.]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]],.]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],[[[[[.,.],.],.],.],.]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.],.]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [.,[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]]]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],[.,.]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [.,[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]]],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.],.],.]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.],.],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]],.]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [[.,[.,[.,[[[[.,.],.],.],[[.,.],[.,.]]]]]],.]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[.,[[.,.],[[[[.,.],.],.],[.,[.,[.,.]]]]]],.]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.],.]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.],.]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[.,[[[.,.],.],.]],.],.],.],.],.],.],.]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [.,[.,[.,[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [.,[.,[.,[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,[.,.]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,[.,.]],[.,.]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[[.,[.,[.,.]]],[.,.]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,.]]]],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,.]]],[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,.]],[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]],.]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0] => [[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]],.]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]],.]
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [[.,[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]],.]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],[.,.]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.],.]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.],.]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.],.],.]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],[.,.]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],[.,.]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],[.,.]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],[.,.]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],[.,.]]]
[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]],.]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [[.,[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]],.]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[.,[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]],.]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[.,[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]],.]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[[.,.],.]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[.,.],.],.],.],[[[[[[.,.],.],.],.],.],.]]
[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [.,[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]]
[1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]],.]
[1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]],.]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]],.]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]],.]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]],.]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]],.]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0] => [[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]],.]
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[.,.],[[.,.],.]],.],.],.],.],.],.],.]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.],.]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.],.]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [.,[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [.,[[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.],.]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]],.],.]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[[.,[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]],.],.]
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[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]],.],.]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]],.],.]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.],.]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.],.]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.],.]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.],.]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],[.,.]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.],[.,.]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[.,.],.],.],[[[[.,.],.],.],[[[.,.],.],.]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]]]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]],.]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]]],.]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]],.]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],[.,.]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.],.]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.],.],.]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[[[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]],.],.],.]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]],.],.],.]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]],.],.],.]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.],.],.]
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[[.,.],.],[[.,.],.]],.],.],.],.],.],.]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],[.,.]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [.,[.,[.,[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[.,[.,[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[.,[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]]
[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.],.]
[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.],.],.]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[.,[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]]],.]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]],.],.]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]],.],.]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]],.],.]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]],.],.]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]],.],.]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.],.],.]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[[.,[.,.]],.],.],.],[.,.]],.],.],.],.]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[.,[.,.]],.],.],[.,.]],.],.],.],.],.]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[[.,[.,.]],.],[.,.]],.],.],.],.],.],.]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [.,[.,[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.],.]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],[.,[[[[[.,.],.],.],.],.]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[.,.],[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[[[.,.],.],.],.],[[.,.],[[[[.,.],.],.],.]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[[[.,.],.],.],.],[[[[.,.],.],.],[[.,.],.]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[[[[.,.],.],.],[[[[.,.],.],.],.]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],.],[[[.,.],.],[[[[.,.],.],.],.]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]],.]
[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[.,[[[[.,.],.],.],.]],.],.],.],.],.],.]
[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[.,[[[[[.,.],.],.],.],.]],.],.],.],.],.]
[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[.,[[[[[[.,.],.],.],.],.],.]],.],.],.],.]
[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[.,[[[[[[[.,.],.],.],.],.],.],.]],.],.],.]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],[.,.]]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],[.,.]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [.,[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]],.]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]],.]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],.]]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],.]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[[.,.],.]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],.]]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[[.,.],.]]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],.]]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],.]]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[[.,.],.]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],.]]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[[.,.],.]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],.]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],.]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],.]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],.]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],.]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],.]]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],.]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],.]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],.]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],.]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],.]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],.]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],.]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[[.,.],[.,.]]],[[[[.,.],[.,.]],[.,.]],.]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],.]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],.]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]],.]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],.]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],.]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],.]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]],.]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],.]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]],.]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],.]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]],.]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],.]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],.]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],.]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],.]]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]],.]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],.]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],.]]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]],.]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]],.]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]],.]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]],.]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],.]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],.]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]],.]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]],.]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],.]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]],.]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],.]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],.]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]],.]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],.]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]],.]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]],.]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]],.]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,.],[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,.],[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[.,.],[[[.,.],[.,.]],.]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],.]]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],.]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],.]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[.,.],[[.,.],[.,.]]],[.,.]],[[[.,.],[.,.]],.]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[[.,.],[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],.]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],.]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],[.,.]],[[[.,.],[.,.]],.]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],.]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],.]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],.]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],.]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],.]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],.]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],.]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],.]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]],.]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],.]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],.]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],.]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],.]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[.,.],[[[.,.],[[.,.],[.,.]]],.]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[[.,.],[[.,.],[.,.]]],.]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],.]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],.]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],.]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],.]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]],.]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],.]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[[.,.],.]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.],.]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.],.]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[.,.],[.,[[[.,[[.,[[.,[.,.]],.]],.]],.],.]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],.],[.,.]]],.]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [.,[[[[.,[[.,[[.,[.,.]],.]],.]],.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[.,[[.,.],[.,[[[.,[[.,[.,.]],.]],.],.]]]],.]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [.,[[[.,.],[.,[[[.,[[.,[.,.]],.]],.],.]]],[.,.]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [.,[[.,[[[.,[[.,[.,.]],.]],.],.]],[.,[[.,.],.]]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [.,[[[[.,[[.,[.,.]],.]],.],.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [.,[[.,[[.,[[[.,[[.,[.,.]],.]],.],[.,.]]],.]],.]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [.,[[[.,[[[.,[[.,[.,.]],.]],.],[.,.]]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [.,[[.,.],[.,[[[[.,[[.,[.,.]],.]],.],[.,.]],.]]]]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,[[.,[.,.]],.]],.],[.,.]],[.,.]]],.]]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[.,[[.,[.,.]],.]],.],[.,.]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0] => [.,[[.,[[.,[[.,.],[.,[[[.,[.,.]],.],.]]]],.]],.]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [.,[[[.,[[.,.],[.,[[[.,[.,.]],.],.]]]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [.,[[.,.],[.,[[[.,.],[.,[[[.,[.,.]],.],.]]],.]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [.,[[.,[[[.,.],[.,[[[.,[.,.]],.],.]]],[.,.]]],.]]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [.,[[[[.,.],[.,[[[.,[.,.]],.],.]]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [.,[[.,[[.,.],.]],[.,[[.,[[[.,[.,.]],.],.]],.]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [.,[[[.,.],.],[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[.,[[.,.],[.,.]]],[.,[[[[.,[.,.]],.],.],.]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [.,[[[.,.],[.,.]],[.,[[[[.,[.,.]],.],.],[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [.,[[.,[[.,[[[.,[.,.]],.],.]],[.,[[.,.],.]]]],.]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [.,[[[.,[[[.,[.,.]],.],.]],[.,[[.,.],.]]],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [.,[[.,.],[.,[[[[.,[.,.]],.],.],[.,[[.,.],.]]]]]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [.,[[.,[[[[.,[.,.]],.],.],[.,[[.,.],[.,.]]]]],.]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [.,[[[[[.,[.,.]],.],.],[.,[[.,.],[.,.]]]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [.,[[.,[[.,[[.,[[[.,[.,.]],.],[.,.]]],.]],.]],.]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [.,[[[.,[[.,[[[.,[.,.]],.],[.,.]]],.]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [.,[[.,.],[.,[[[.,[[[.,[.,.]],.],[.,.]]],.],.]]]]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [.,[[.,[[[.,[[[.,[.,.]],.],[.,.]]],.],[.,.]]],.]]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,[[[.,[.,.]],.],[.,.]]],.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [.,[[.,[[.,.],[.,[[[[.,[.,.]],.],[.,.]],.]]]],.]]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [.,[[[.,.],[.,[[[[.,[.,.]],.],[.,.]],.]]],[.,.]]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [.,[[.,[[[[.,[.,.]],.],[.,.]],.]],[.,[[.,.],.]]]]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [.,[[[[[.,[.,.]],.],[.,.]],.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [.,[[.,[[.,[[[[.,[.,.]],.],[.,.]],[.,.]]],.]],.]]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [.,[[[.,[[[[.,[.,.]],.],[.,.]],[.,.]]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [.,[[.,.],[.,[[[[[.,[.,.]],.],[.,.]],[.,.]],.]]]]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[[.,[.,.]],.],[.,.]],[.,.]],[.,.]]],.]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[[.,[.,.]],.],[.,.]],[.,.]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [.,[[.,[[.,[[.,[[.,.],[.,[[.,.],.]]]],.]],.]],.]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] => [.,[[[.,[[.,[[.,.],[.,[[.,.],.]]]],.]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [.,[[.,.],[.,[[[.,[[.,.],[.,[[.,.],.]]]],.],.]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [.,[[.,[[[.,[[.,.],[.,[[.,.],.]]]],.],[.,.]]],.]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0] => [.,[[[[.,[[.,.],[.,[[.,.],.]]]],.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [.,[[.,[[.,.],[.,[[[.,.],[.,[[.,.],.]]],.]]]],.]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [.,[[[.,.],[.,[[[.,.],[.,[[.,.],.]]],.]]],[.,.]]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [.,[[.,[[[.,.],[.,[[.,.],.]]],.]],[.,[[.,.],.]]]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [.,[[[[.,.],[.,[[.,.],.]]],.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [.,[[.,[[.,[[[.,.],[.,[[.,.],.]]],[.,.]]],.]],.]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [.,[[[.,[[[.,.],[.,[[.,.],.]]],[.,.]]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [.,[[.,.],[.,[[[[.,.],[.,[[.,.],.]]],[.,.]],.]]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,.],[.,[[.,.],.]]],[.,.]],[.,.]]],.]]
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[.,.],[.,[[.,.],.]]],[.,.]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [.,[[.,[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]]],.]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [.,[[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [.,[[.,.],[.,[[[.,.],.],[.,[[.,[[.,.],.]],.]]]]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[[[.,.],.],[.,[[.,[[.,.],.]],[.,.]]]]],.]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [.,[[[[.,.],.],[.,[[.,[[.,.],.]],[.,.]]]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0] => [.,[[.,[[.,[[.,.],[.,.]]],[.,[[[.,.],.],.]]]],.]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [.,[[[.,[[.,.],[.,.]]],[.,[[[.,.],.],.]]],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [.,[[.,.],[.,[[[.,.],[.,.]],[.,[[[.,.],.],.]]]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [.,[[.,[[[.,.],[.,.]],[.,[[[.,.],.],[.,.]]]]],.]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [.,[[[[.,.],[.,.]],[.,[[[.,.],.],[.,.]]]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0] => [.,[[.,[[.,[[.,.],.]],.]],[.,[[.,[[.,.],.]],.]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0] => [.,[[.,[[.,[[.,.],.]],[.,.]]],[.,[[[.,.],.],.]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [.,[[[.,[[.,.],.]],.],[.,[[.,[[.,.],.]],[.,.]]]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [.,[[[.,[[.,.],.]],[.,.]],[.,[[[.,.],.],[.,.]]]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [.,[[.,[[.,.],.]],[.,[[.,.],[.,[[[.,.],.],.]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [.,[[[.,.],.],[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [.,[[.,[[[.,.],.],.]],[.,[[.,[[.,.],[.,.]]],.]]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [.,[[.,[[[.,.],.],[.,.]]],[.,[[[.,.],[.,.]],.]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [.,[[[[.,.],.],.],[.,[[.,[[.,.],[.,.]]],[.,.]]]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [.,[[[[.,.],.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [.,[[.,[[.,[[.,[[.,.],.]],[.,[[.,.],.]]]],.]],.]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [.,[[[.,[[.,[[.,.],.]],[.,[[.,.],.]]]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [.,[[.,.],[.,[[[.,[[.,.],.]],[.,[[.,.],.]]],.]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[[[.,[[.,.],.]],[.,[[.,.],.]]],[.,.]]],.]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [.,[[[[.,[[.,.],.]],[.,[[.,.],.]]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [.,[[.,[[.,.],[.,[[[.,.],.],[.,[[.,.],.]]]]]],.]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [.,[[[.,.],[.,[[[.,.],.],[.,[[.,.],.]]]]],[.,.]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [.,[[.,[[[.,.],.],[.,[[.,.],.]]]],[.,[[.,.],.]]]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [.,[[[[.,.],.],[.,[[.,.],.]]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [.,[[.,[[.,[[[.,.],.],[.,[[.,.],[.,.]]]]],.]],.]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [.,[[[.,[[[.,.],.],[.,[[.,.],[.,.]]]]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [.,[[.,.],[.,[[[[.,.],.],[.,[[.,.],[.,.]]]],.]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,.],.],[.,[[.,.],[.,.]]]],[.,.]]],.]]
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[.,.],.],[.,[[.,.],[.,.]]]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [.,[[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]],.]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [.,[[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[[.,.],[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],.]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [.,[[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]],.]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [.,[[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[[.,[[.,.],[.,[[[.,[[.,.],[.,.]]],.],.]]]],.]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [.,[[[.,.],[.,[[[.,[[.,.],[.,.]]],.],.]]],[.,.]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [.,[[.,[[[.,[[.,.],[.,.]]],.],.]],[.,[[.,.],.]]]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [.,[[[[.,[[.,.],[.,.]]],.],.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [.,[[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]],.]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [.,[[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [.,[[.,.],[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],.]]]]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]],.]]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[[.,[[.,[[.,.],[.,[[[.,.],[.,.]],.]]]],.]],.]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [.,[[[.,[[.,.],[.,[[[.,.],[.,.]],.]]]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [.,[[.,.],[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [.,[[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],[.,.]]],.]]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,.],[.,[[[.,.],[.,.]],.]]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [.,[[.,[[.,.],.]],[.,[[.,[[[.,.],[.,.]],.]],.]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [.,[[[.,.],.],[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [.,[[.,[[.,.],[.,.]]],[.,[[[[.,.],[.,.]],.],.]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [.,[[[.,.],[.,.]],[.,[[[[.,.],[.,.]],.],[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [.,[[.,[[.,[[[.,.],[.,.]],.]],[.,[[.,.],.]]]],.]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0] => [.,[[[.,[[[.,.],[.,.]],.]],[.,[[.,.],.]]],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [.,[[.,.],[.,[[[[.,.],[.,.]],.],[.,[[.,.],.]]]]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [.,[[.,[[[[.,.],[.,.]],.],[.,[[.,.],[.,.]]]]],.]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [.,[[[[[.,.],[.,.]],.],[.,[[.,.],[.,.]]]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [.,[[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]],.]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [.,[[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [.,[[.,.],[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],.]]]]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [.,[[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]],.]]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [.,[[.,[[.,.],[.,[[[[.,.],[.,.]],[.,.]],.]]]],.]]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [.,[[[.,.],[.,[[[[.,.],[.,.]],[.,.]],.]]],[.,.]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [.,[[.,[[[[.,.],[.,.]],[.,.]],.]],[.,[[.,.],.]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [.,[[[[[.,.],[.,.]],[.,.]],.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [.,[[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]],.]]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [.,[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.],[.,.]]]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,.],[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]]]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [[[.,[.,.]],[[[[.,.],[[.,[.,.]],.]],[.,.]],.]],.]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[.,[[.,[.,[[.,.],.]]],[[.,[.,[[.,.],.]]],.]]],.]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [.,[.,[[.,.],[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]]]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],[[.,.],[.,[.,.]]]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[[.,.],[.,[.,.]]],[[[.,.],[.,[.,.]]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,[.,.]],[.,.]]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [[.,[[.,[[.,[[.,.],.]],.]],.]],[.,[[.,[.,.]],.]]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [.,[[[.,[[.,[[.,.],.]],.]],[[.,[.,.]],.]],[.,.]]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [.,[[[.,[[.,[[.,.],.]],.]],[.,.]],[[.,[.,.]],.]]]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [[[[[.,[[.,[[.,.],.]],.]],[.,.]],[.,.]],[.,.]],.]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,.],.]],[[[.,[.,.]],[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,[[.,.],.]],[[.,[[.,[.,.]],.]],.]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [.,[[.,[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],[.,.]]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [.,[.,[[[[.,[[.,.],.]],[[.,[.,.]],.]],[.,.]],.]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [.,[[.,[[[.,[[.,.],.]],[.,.]],.]],[[.,[.,.]],.]]]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0] => [[[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,.]],[.,.]],.]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [.,[.,[[[[.,[[.,.],.]],[.,.]],[[.,[.,.]],.]],.]]]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [[[.,[[[[.,[[.,.],.]],[.,.]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0] => [[.,[[[[[.,[[.,.],.]],[.,.]],[.,.]],[.,.]],.]],.]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[.,.],.]],[[[.,[.,.]],[.,.]],.]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],[[.,.],.]],[[.,[[.,[.,.]],.]],.]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [[[[[.,[.,.]],[[.,.],.]],[[.,[.,.]],.]],[.,.]],.]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [[[[[.,[.,.]],[[.,.],.]],[.,.]],[[.,[.,.]],.]],.]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[[.,[.,.]],[[.,.],.]],[.,.]],[.,.]],[.,[.,.]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,.],[[[.,[.,.]],[.,.]],.]],.]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[.,.]],[.,[[[.,.],[[.,[[.,[.,.]],.]],.]],.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [.,[[.,[.,.]],[[[.,.],[[[.,[.,.]],[.,.]],.]],.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[.,[.,.]],[[[.,.],[[.,[[.,[.,.]],.]],.]],.]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [.,[[.,[[.,[[[.,.],[[.,[.,.]],.]],.]],.]],[.,.]]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [.,[.,[[[.,[[[.,.],[[.,[.,.]],.]],.]],[.,.]],.]]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[.,[.,.]],[[[.,.],[[.,[.,.]],.]],.]],[.,.]],.]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [.,[.,[[.,[[[[.,.],[[.,[.,.]],.]],[.,.]],.]],.]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [.,[[.,[[.,[[[.,.],[.,.]],.]],.]],[[.,[.,.]],.]]]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0] => [[[[.,[[.,[[[.,.],[.,.]],.]],.]],[.,.]],[.,.]],.]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [.,[.,[[[.,[[[.,.],[.,.]],.]],[[.,[.,.]],.]],.]]]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [[[.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0] => [[.,[[[[.,[[[.,.],[.,.]],.]],[.,.]],[.,.]],.]],.]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [[[[.,[.,.]],[[[.,.],[.,.]],.]],[[.,[.,.]],.]],.]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[[.,.],[.,.]],.]],[.,.]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [.,[.,[[.,[[[[.,.],[.,.]],[[.,[.,.]],.]],.]],.]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[[.,[.,.]],[[[[.,.],[.,.]],[[.,[.,.]],.]],.]],.]
[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0] => [[[.,[[.,[[[[.,.],[.,.]],[.,.]],.]],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [[.,[[[.,[[[[.,.],[.,.]],[.,.]],.]],[.,.]],.]],.]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],.]],[.,[.,.]]]
[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0] => [[.,[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],.]],.]],.]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[.,[[[.,[.,.]],.],.]],[[[.,[.,.]],[.,.]],.]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [.,[[.,[[[.,[.,.]],.],.]],[[.,[[.,[.,.]],.]],.]]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [[[[.,[[[.,[.,.]],.],.]],[[.,[.,.]],.]],[.,.]],.]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0] => [[[[.,[[[.,[.,.]],.],.]],[.,.]],[[.,[.,.]],.]],.]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[.,[[[.,[.,.]],.],.]],[.,.]],[.,.]],[.,[.,.]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [.,[.,[[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]],.]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],[[.,[[.,[.,.]],.]],.]],.]]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[[.,[[[[.,[.,.]],.],[[.,[.,.]],.]],.]],[.,.]],.]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [[.,[[[[[.,[.,.]],.],[[.,[.,.]],.]],[.,.]],.]],.]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0] => [[[.,[[[[.,[.,.]],.],[.,.]],.]],[[.,[.,.]],.]],.]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0] => [[[.,[[[[.,[.,.]],.],[.,.]],.]],[.,.]],[.,[.,.]]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[.,[[[[[.,[.,.]],.],[.,.]],[[.,[.,.]],.]],.]],.]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0] => [[.,[[[[[.,[.,.]],.],[.,.]],[.,.]],.]],[.,[.,.]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]],.]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[[[.,[.,.]],[.,.]],.],[[.,[[.,[.,.]],.]],.]],.]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]],[.,[.,.]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[[[[.,[.,.]],[.,.]],.],[.,.]],[[.,[.,.]],[.,.]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [[[[[.,[.,.]],[.,.]],.],[.,.]],[.,[[.,[.,.]],.]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[[[.,[[.,[.,.]],.]],.],[[[.,[.,.]],[.,.]],.]],.]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[[.,[[.,[.,.]],.]],.],[[.,[[.,[.,.]],.]],.]],.]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]],[.,[.,.]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[[[.,[[.,[.,.]],.]],.],[.,.]],[[.,[.,.]],[.,.]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [[[[.,[[.,[.,.]],.]],.],[.,.]],[.,[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[.,[.,.]],[.,[[.,[[[[.,[.,.]],[.,.]],.],.]],.]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,[.,.]],[.,[[.,[[[.,[[.,[.,.]],.]],.],.]],.]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],.],.]],.]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],.],.]],.]]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],.],.]],.]]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],.],.]],.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],.],.]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],.],.]],.]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],.],.]],.]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],.],.]],.]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [.,[[.,[[.,[[.,[[[.,[.,.]],.],.]],.]],.]],[.,.]]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [.,[.,[[[.,[[.,[[[.,[.,.]],.],.]],.]],[.,.]],.]]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[[.,[.,.]],[[.,[[[.,[.,.]],.],.]],.]],[.,.]],.]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [.,[.,[[.,[[[.,[[[.,[.,.]],.],.]],[.,.]],.]],.]]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[[.,[.,.]],[[[.,[[[.,[.,.]],.],.]],[.,.]],.]],.]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[.,[[[.,[.,.]],[[[.,[.,.]],.],.]],.]],[.,.]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[.,[[[[.,[.,.]],[[[.,[.,.]],.],.]],[.,.]],.]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,.]],[[[.,[.,.]],.],.]],[.,[.,.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],[[[.,[.,.]],.],.]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [.,[.,[[.,[[.,[[[[.,[.,.]],.],[.,.]],.]],.]],.]]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[[.,[.,.]],[[.,[[[[.,[.,.]],.],[.,.]],.]],.]],.]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[.,[[[.,[.,.]],[[[[.,[.,.]],.],[.,.]],.]],.]],.]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[.,[.,.]],[.,.]],[[[[.,[.,.]],.],[.,.]],[.,.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],[[[[.,[.,.]],.],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0] => [.,[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,[.,.]],.]]]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0] => [[[[.,[[.,[[.,[[.,.],.]],.]],.]],[.,.]],[.,.]],.]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [.,[.,[[[.,[[.,[[.,.],.]],.]],[[.,[.,.]],.]],.]]]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0] => [[[.,[[[.,[[.,[[.,.],.]],.]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0] => [[.,[[[[.,[[.,[[.,.],.]],.]],[.,.]],[.,.]],.]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[[.,[.,.]],[[.,[[.,.],.]],.]],[[.,[.,.]],.]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[.,[[.,.],.]],.]],[.,.]],[.,[.,.]]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [.,[.,[[.,[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],.]]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[[.,[.,.]],[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],.]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0] => [[[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0] => [[.,[[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,.]],.]],.]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[[.,[.,.]],[[[.,[[.,.],.]],[.,.]],.]],[.,[.,.]]]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0] => [[.,[[.,[[[[.,[[.,.],.]],[.,.]],[.,.]],.]],.]],.]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[.,[.,.]],[[[[.,[[.,.],.]],[.,.]],[.,.]],[.,.]]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[.,[[[.,[.,.]],[[.,.],.]],.]],[[.,[.,.]],.]],.]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[.,[[[.,[.,.]],[[.,.],.]],.]],[.,.]],[.,[.,.]]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[.,[[[[.,[.,.]],[[.,.],.]],[[.,[.,.]],.]],.]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[.,[[[[.,[.,.]],[[.,.],.]],[.,.]],.]],[.,[.,.]]]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[.,[.,.]],[[.,.],.]],[.,.]],[.,.]],[.,.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[.,[.,.]],[.,.]],[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[.,[.,.]],[.,.]],[[.,.],.]],[.,[[.,[.,.]],.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,[[.,[.,.]],.]],[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[.,[[.,[.,.]],.]],[[.,.],.]],[.,[[.,[.,.]],.]]]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [.,[.,[[.,[[.,[[[.,.],[[.,[.,.]],.]],.]],.]],.]]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[.,[.,.]],[[.,[[[.,.],[[.,[.,.]],.]],.]],.]],.]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[.,[[[.,[.,.]],[[[.,.],[[.,[.,.]],.]],.]],.]],.]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,.]],[[[.,.],[[.,[.,.]],.]],[.,.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,[.,.]],.]],[[[.,.],[[.,[.,.]],.]],[.,.]]]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [[.,[[[.,[[.,[[[.,.],[.,.]],.]],.]],[.,.]],.]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[.,[.,.]],[[.,[[[.,.],[.,.]],.]],.]],[.,[.,.]]]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [[.,[[.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]],.]],.]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[.,[.,.]],[[[.,[[[.,.],[.,.]],.]],[.,.]],[.,.]]]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[.,[[[.,[.,.]],[[[.,.],[.,.]],.]],.]],[.,[.,.]]]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,[.,.]],[[[.,.],[.,.]],.]],[.,.]],[.,.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,[.,.]],.]],[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [[.,[[.,[[.,[[[[.,.],[.,.]],[.,.]],.]],.]],.]],.]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[.,[.,.]],[[.,[[[[.,.],[.,.]],[.,.]],.]],[.,.]]]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [.,[[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],.]],[.,.]]]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]]
[1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0] => [[.,[[[.,[[[.,.],[[.,.],[.,[.,.]]]],.]],.],.]],.]
[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[.,[[[.,[[.,.],[[[[.,.],.],.],.]]],[.,.]],.]],.]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0] => [[.,[[[.,[[[.,.],[.,[[.,.],[.,.]]]],.]],.],.]],.]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[.,[[[.,[[.,.],[[.,[[[.,.],.],.]],.]]],.],.]],.]
[1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [[.,[[[.,.],[[[[.,[.,.]],[.,.]],.],[.,.]]],.]],.]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [[.,[[[.,.],[[[[.,.],.],[[.,[.,.]],.]],.]],.]],.]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0] => [[.,[[[.,[[.,[.,.]],[[[.,.],.],.]]],[.,.]],.]],.]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [[.,[[[.,.],[[[.,[[.,[.,.]],.]],.],[.,.]]],.]],.]
[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0] => [[.,[[[.,[[[[.,.],.],[.,.]],[[.,.],.]]],.],.]],.]
[1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [[.,[[[.,[[.,[[.,.],[.,[[.,.],.]]]],.]],.],.]],.]
[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [[.,[[[.,.],[[[[[.,.],.],.],[[.,.],.]],.]],.]],.]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [[.,[[[.,[[.,[.,[[.,.],[[.,.],.]]]],.]],.],.]],.]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [[.,[[[.,.],[[[.,[[[.,.],[.,.]],.]],.],.]],.]],.]
[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[.,[[.,[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]],.]],.]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[.,[[.,[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]],.]],.]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[.,[[.,[[.,[.,.]],[[[[.,.],.],.],[.,.]]]],.]],.]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[.,[[.,[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]],.]],.]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[.,[[.,[[.,[.,.]],[[[.,[[.,.],.]],.],.]]],.]],.]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[.,[[[[.,.],.],[[.,[.,[[.,.],.]]],[.,.]]],.]],.]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[.,[[[[.,.],.],[[.,[.,.]],[[[.,.],.],.]]],.]],.]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[.,[[.,[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]],.]],.]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[.,[[.,[[[.,.],[.,[.,.]]],[[[.,.],.],.]]],.]],.]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [[.,[[[[[.,.],[.,.]],.],[[.,[.,.]],[.,.]]],.]],.]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0] => [[.,[[[[.,.],[[.,[.,.]],[.,[.,.]]]],[.,.]],.]],.]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0] => [[.,[[.,[[[[.,.],.],.],[[.,[.,.]],[.,.]]]],.]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[.,[[[[.,[.,.]],[[.,.],[.,[.,.]]]],[.,.]],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0] => [[.,[[.,[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]],.]],.]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0] => [[.,[[[[[.,[[.,.],.]],[.,.]],.],[[.,.],.]],.]],.]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [[.,[[[[[.,.],[[.,.],[.,[.,.]]]],[.,.]],.],.]],.]
[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [[.,[[[[.,.],[[[[.,.],.],.],.]],[[.,.],.]],.]],.]
[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [[.,[[[[[.,.],[.,[[.,.],[.,.]]]],[.,.]],.],.]],.]
[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [[.,[[[[.,.],[[.,[[[.,.],.],.]],[.,.]]],.],.]],.]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0] => [[.,[[.,[[[[.,[.,.]],[.,.]],.],[[.,.],.]]],.]],.]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0] => [[.,[[.,[[[[.,.],.],[[.,[.,.]],[.,.]]],.]],.]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[.,[[[[.,[.,.]],[[[.,.],.],.]],[[.,.],.]],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0] => [[.,[[.,[[[.,[[.,[.,.]],.]],.],[[.,.],.]]],.]],.]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0] => [[.,[[[[[[.,.],.],[.,.]],[[.,.],[.,.]]],.],.]],.]
[1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0] => [[.,[[[[.,[[.,.],[.,[[.,.],.]]]],[.,.]],.],.]],.]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0] => [[.,[[.,[[[[[.,.],.],.],[[.,.],[.,.]]],.]],.]],.]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0] => [[.,[[[[.,[.,[[.,.],[[.,.],.]]]],[.,.]],.],.]],.]
[1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[[.,.],[.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]]],.]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,[[[.,[[.,.],[[.,[.,.]],.]]],.],.]]],.]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[[.,.],[.,[[[.,.],[[[[.,.],.],.],[.,.]]],.]]],.]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[[.,.],[.,[[[.,[[.,[.,.]],[[.,.],.]]],.],.]]],.]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[[.,.],[.,[[[.,.],[[[.,[[.,.],.]],.],.]],.]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[.,.],[.,[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[[.,.],[.,[[.,[[.,[.,.]],[[[.,.],.],.]]],.]]],.]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [[[.,.],[.,[[[[.,.],.],[[.,[.,.]],[.,.]]],.]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[.,.],[.,[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]]],.]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [[[.,.],[.,[[[[[.,.],[.,.]],.],[[.,.],.]],.]]],.]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [[[.,.],[.,[[[[.,.],[[.,[.,.]],[.,.]]],.],.]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[.,.],[.,[[.,[[[[.,.],.],.],[[.,.],.]]],.]]],.]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [[[.,.],[.,[[[[.,[.,.]],[[.,.],[.,.]]],.],.]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[[.,.],[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]]],.]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[.,.],[.,.]],[.,[[[.,[[.,.],.]],[.,.]],.]]],.]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],[.,[[[.,.],[[[.,.],.],.]],.]]],.]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[[.,.],[.,.]],[.,[[.,[[.,[.,.]],[.,.]]],.]]],.]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[.,.],[.,.]],[.,[[[[.,.],.],[[.,.],.]],.]]],.]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],[.,.]],[.,[[.,[[[.,.],[.,.]],.]],.]]],.]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[.,[[.,.],.]],[.,[[[.,[[.,.],.]],[.,.]],.]]],.]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[.,[[.,.],.]],[.,[[[.,.],[[[.,.],.],.]],.]]],.]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[.,[[.,.],.]],[.,[[.,[[.,[.,.]],[.,.]]],.]]],.]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],[.,[[[[.,.],.],[[.,.],.]],.]]],.]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[.,[[.,.],.]],[.,[[.,[[[.,.],[.,.]],.]],.]]],.]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[.,[[.,.],.]],[.,.]],[.,[[[.,.],[.,.]],.]]],.]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[.,[[.,.],.]],[.,.]],[.,[[.,[[.,.],.]],.]]],.]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[.,.],[[[.,.],.],.]],[.,[[[.,.],[.,.]],.]]],.]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[.,.],[[[.,.],.],.]],[.,[[.,[[.,.],.]],.]]],.]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[.,[[.,[.,.]],[.,.]]],[.,[[[.,.],[.,.]],.]]],.]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[.,[[.,[.,.]],[.,.]]],[.,[[.,[[.,.],.]],.]]],.]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[[.,.],.],[[.,.],.]],[.,[[[.,.],[.,.]],.]]],.]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[[.,.],.],[[.,.],.]],[.,[[.,[[.,.],.]],.]]],.]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[.,[[[.,.],[.,.]],.]],[.,[[[.,.],[.,.]],.]]],.]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[.,[[[.,.],[.,.]],.]],[.,[[.,[[.,.],.]],.]]],.]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[.,[[[.,.],[.,.]],.]],[.,.]],[.,[[.,.],.]]],.]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[.,[[.,.],[[.,[.,.]],.]]],.],[.,[[.,.],.]]],.]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[.,.],[[[[.,.],.],.],[.,.]]],[.,[[.,.],.]]],.]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[.,[[.,[.,.]],[[.,.],.]]],.],[.,[[.,.],.]]],.]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [[[[.,.],[[[.,[[.,.],.]],.],.]],[.,[[.,.],.]]],.]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[[.,[[.,[.,[[.,.],.]]],[.,.]]],[.,[[.,.],.]]],.]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[.,[[.,[.,.]],[[[.,.],.],.]]],[.,[[.,.],.]]],.]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[[.,.],.],[[.,[.,.]],[.,.]]],[.,[[.,.],.]]],.]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[.,[[[.,.],[.,[.,.]]],[.,.]]],[.,[[.,.],.]]],.]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[[[.,.],[.,.]],.],[[.,.],.]],[.,[[.,.],.]]],.]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[[.,.],[[.,[.,.]],[.,.]]],.],[.,[[.,.],.]]],.]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[.,[[[[.,.],.],.],[[.,.],.]]],[.,[[.,.],.]]],.]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[[.,[.,.]],[[.,.],[.,.]]],.],[.,[[.,.],.]]],.]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0] => [[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,[[.,.],.]]],.]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0] => [[[[.,[[[.,.],[[.,.],[.,[.,.]]]],.]],.],[.,.]],.]
[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [[[[.,[[.,.],[[[[.,.],.],.],.]]],[.,.]],[.,.]],.]
[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [[[[.,[[[.,.],[.,[[.,.],[.,.]]]],.]],.],[.,.]],.]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [[[[.,[[.,.],[[.,[[[.,.],.],.]],.]]],.],[.,.]],.]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[[[.,.],[[[[.,[.,.]],[.,.]],.],[.,.]]],[.,.]],.]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[.,.],[[[[.,.],.],[[.,[.,.]],.]],.]],[.,.]],.]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[.,[[.,[.,.]],[[[.,.],.],.]]],[.,.]],[.,.]],.]
[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [[[[.,.],[[[.,[[.,[.,.]],.]],.],[.,.]]],[.,.]],.]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0] => [[[[.,[[[[.,.],.],[.,.]],[[.,.],.]]],.],[.,.]],.]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0] => [[[[.,[[.,[[.,.],[.,[[.,.],.]]]],.]],.],[.,.]],.]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0] => [[[[.,.],[[[[[.,.],.],.],[[.,.],.]],.]],[.,.]],.]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [[[[.,[[.,[.,[[.,.],[[.,.],.]]]],.]],.],[.,.]],.]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [[[[.,.],[[[.,[[[.,.],[.,.]],.]],.],.]],[.,.]],.]
[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[[.,[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]],[.,.]],.]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[[.,[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]],[.,.]],.]
[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[.,[[.,[.,.]],[[[[.,.],.],.],[.,.]]]],[.,.]],.]
[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [[[.,[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]],[.,.]],.]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[[.,[[.,[.,.]],[[[.,[[.,.],.]],.],.]]],[.,.]],.]
[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[[.,.],.],[[.,[.,[[.,.],.]]],[.,.]]],[.,.]],.]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],[[.,[.,.]],[[[.,.],.],.]]],[.,.]],.]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[[.,[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]],[.,.]],.]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],[.,[.,.]]],[[[.,.],.],.]]],[.,.]],.]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[[[.,.],[.,.]],.],[[.,[.,.]],[.,.]]],[.,.]],.]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[[.,.],[[.,[.,.]],[.,[.,.]]]],[.,.]],[.,.]],.]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[[.,[[[[.,.],.],.],[[.,[.,.]],[.,.]]]],[.,.]],.]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[[.,[.,.]],[[.,.],[.,[.,.]]]],[.,.]],[.,.]],.]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0] => [[[.,[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]],[.,.]],.]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [[[[[[.,[[.,.],.]],[.,.]],.],[[.,.],.]],[.,.]],.]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[[[.,.],[[.,.],[.,[.,.]]]],[.,.]],.],[.,.]],.]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0] => [[[[[.,.],[[[[.,.],.],.],.]],[[.,.],.]],[.,.]],.]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [[[[[[.,.],[.,[[.,.],[.,.]]]],[.,.]],.],[.,.]],.]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[[.,[[[.,.],.],.]],[.,.]]],.],[.,.]],.]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [[[.,[[[[.,[.,.]],[.,.]],.],[[.,.],.]]],[.,.]],.]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[.,[[[[.,.],.],[[.,[.,.]],[.,.]]],.]],[.,.]],.]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [[[[[.,[.,.]],[[[.,.],.],.]],[[.,.],.]],[.,.]],.]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0] => [[[.,[[[.,[[.,[.,.]],.]],.],[[.,.],.]]],[.,.]],.]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [[[[[[[.,.],.],[.,.]],[[.,.],[.,.]]],.],[.,.]],.]
[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[[.,[[.,.],[.,[[.,.],.]]]],[.,.]],.],[.,.]],.]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0] => [[[.,[[[[[.,.],.],.],[[.,.],[.,.]]],.]],[.,.]],.]
[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[[.,[.,[[.,.],[[.,.],.]]]],[.,.]],.],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[.,.],[[.,[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]],.]]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [[.,.],[[.,[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]],.]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[.,.],[[.,[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]],.]]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[.,.],[[.,[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]],.]]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0] => [[.,.],[[.,[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]],.]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[.,.],[[[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]],.],.]]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[.,.],[[[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]],.],.]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[.,.],[[[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]],.],.]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0] => [[.,.],[[[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]],.],.]]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0] => [[.,.],[[[.,[[.,[[.,[.,[.,.]]],.]],.]],[.,.]],.]]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0] => [[.,.],[[[.,[[[.,[.,[.,.]]],[.,.]],.]],[.,.]],.]]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[.,.],[[[[.,[.,[[.,.],[.,[.,.]]]]],.],[.,.]],.]]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [[.,.],[[[[.,[[.,[.,[.,.]]],.]],[.,.]],[.,.]],.]]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[[.,[.,[.,.]]],[.,.]],[.,.]],[.,.]],.]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,.],[.,[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]]],.]
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[.,.],[.,[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]]],.]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[[.,.],[.,[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]]],.]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[[.,.],[.,[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]]],.]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [[[.,.],[.,[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]]],.]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [[[.,.],[[.,[.,[[.,.],.]]],[[.,[.,[.,.]]],.]]],.]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [[[.,.],[[.,[.,[[[.,.],.],[.,[.,.]]]]],[.,.]]],.]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,.]]],[[.,.],[[.,[.,[.,.]]],.]]],.]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [[[.,.],[[.,[[.,[.,[[.,.],.]]],.]],[.,[.,.]]]],.]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0] => [[[.,.],[[[.,[.,[.,.]]],[[.,.],.]],[.,[.,.]]]],.]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],[.,[[.,.],[.,[[.,.],.]]]]],[.,[.,.]]],.]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0] => [[[[.,.],[[.,[.,[.,.]]],.]],[[.,.],[.,[.,.]]]],.]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[[[[.,.],[.,[.,.]]],[.,.]],[[.,.],[.,[.,.]]]],.]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[[.,.],[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]],[.,.]]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [[[.,.],[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]],[.,.]]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[.,.],[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]],[.,.]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [[[.,.],[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]],[.,.]]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [[[.,.],[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]],[.,.]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[.,.],[.,[[.,.],[[.,[.,[.,.]]],.]]]],.],[.,.]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0] => [[[[.,.],[.,[[[.,.],[.,[.,.]]],[.,.]]]],.],[.,.]]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0] => [[[[.,.],[[.,[.,[[.,.],.]]],[.,[.,.]]]],.],[.,.]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[[.,.],[.,[.,.]]],[[.,.],[.,[.,.]]]],.],[.,.]]
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [[[[.,.],[[.,[[.,[.,[.,.]]],.]],.]],[.,.]],[.,.]]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[.,.],[[[.,[.,[.,.]]],[.,.]],.]],[.,.]],[.,.]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[[.,.],[.,[[.,.],[.,[.,.]]]]],.],[.,.]],[.,.]]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [[[[[.,.],[[.,[.,[.,.]]],.]],[.,.]],[.,.]],[.,.]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[[.,.],[.,[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,.],[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [.,[.,[[.,.],[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]]]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [.,[.,[[.,.],[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,.],[.,[[.,.],[[.,[.,[.,.]]],.]]]],.]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,[[[.,.],[.,[.,.]]],[.,.]]]],.]]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[[.,[.,[[.,.],.]]],[.,[.,.]]]],.]]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [.,[.,[[[[.,.],[.,[.,.]]],[[.,.],[.,[.,.]]]],.]]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [.,[.,[[[.,.],[[.,[[.,[.,[.,.]]],.]],.]],[.,.]]]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [.,[.,[[[.,.],[[[.,[.,[.,.]]],[.,.]],.]],[.,.]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [.,[.,[[[[.,.],[.,[[.,.],[.,[.,.]]]]],.],[.,.]]]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [.,[.,[[[[.,.],[[.,[.,[.,.]]],.]],[.,.]],[.,.]]]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [.,[.,[[[[[.,.],[.,[.,.]]],[.,.]],[.,.]],[.,.]]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [.,[[.,[.,[[.,.],.]]],[[.,[[.,[.,[.,.]]],.]],.]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[.,[[.,.],.]]],[[[.,[.,[.,.]]],[.,.]],.]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0] => [.,[[.,[.,[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]]],.]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [.,[[.,[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]],[.,.]]]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [.,[[.,[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]],[.,.]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [[.,[.,[.,.]]],[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[.,.]]],[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[.,[.,[.,.]]],[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [.,[[.,[[.,[.,[[.,.],.]]],.]],[[.,[.,[.,.]]],.]]]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [.,[[.,[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]],[.,.]]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [.,[[[.,[.,[.,.]]],[[.,.],.]],[[.,[.,[.,.]]],.]]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [.,[[[.,[.,[.,.]]],[[[.,.],.],[.,[.,.]]]],[.,.]]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],[[.,[.,[.,.]]],.]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[.,[.,[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]]],[.,.]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[[.,[.,[.,.]]],.]],[[.,.],[[.,[.,[.,.]]],.]]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],[[[.,.],[.,[.,.]]],[.,.]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],[[.,.],[[.,[.,[.,.]]],.]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[.,.]],[[[.,.],[.,[.,.]]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [.,[[.,[[.,[[.,[.,[[.,.],.]]],.]],.]],[.,[.,.]]]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0] => [.,[[.,[[[.,[.,[.,.]]],[[.,.],.]],.]],[.,[.,.]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0] => [.,[[[.,[.,[[.,.],[.,[[.,.],.]]]]],.],[.,[.,.]]]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [.,[[[.,[[.,[.,[.,.]]],.]],[[.,.],.]],[.,[.,.]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0] => [.,[[[[.,[.,[.,.]]],[.,.]],[[.,.],.]],[.,[.,.]]]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[.,[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]],[.,[.,.]]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [[.,[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]],[.,[.,.]]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[.,[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]],[.,[.,.]]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],[[.,.],[.,[[.,.],.]]]],[.,[.,.]]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],[[.,.],[.,[.,.]]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],[[.,.],[.,[.,.]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],[[.,.],[.,[.,.]]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [.,[[.,[[.,[[.,[[.,[.,[[.,.],.]]],.]],.]],.]],.]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [.,[[.,[[.,[[[.,[.,[.,.]]],[[.,.],.]],.]],.]],.]]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [.,[[.,[[[.,[.,[[.,.],[.,[[.,.],.]]]]],.],.]],.]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0] => [.,[[.,[[[.,[[.,[.,[.,.]]],.]],[[.,.],.]],.]],.]]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0] => [.,[[.,[[[[.,[.,[.,.]]],[.,.]],[[.,.],.]],.]],.]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [.,[[[.,[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]],.],.]]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [.,[[[.,[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]],.],.]]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]],.],.]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0] => [.,[[[[.,[.,[.,.]]],[[.,.],[.,[[.,.],.]]]],.],.]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [.,[[[.,[[.,[[.,[.,[.,.]]],.]],.]],[[.,.],.]],.]]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [.,[[[.,[[[.,[.,[.,.]]],[.,.]],.]],[[.,.],.]],.]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [.,[[[[.,[.,[[.,.],[.,[.,.]]]]],.],[[.,.],.]],.]]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [.,[[[[.,[[.,[.,[.,.]]],.]],[.,.]],[[.,.],.]],.]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [.,[[[[[.,[.,[.,.]]],[.,.]],[.,.]],[[.,.],.]],.]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[.,[.,[[.,.],[[.,[[.,[.,[[.,.],.]]],.]],.]]]],.]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[.,[.,[[.,.],[[[.,[.,[.,.]]],[[.,.],.]],.]]]],.]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[.,[.,[[[.,.],[.,[[.,.],[.,[[.,.],.]]]]],.]]],.]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[.,[.,[[[.,.],[[.,[.,[.,.]]],.]],[[.,.],.]]]],.]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [[.,[.,[[[[.,.],[.,[.,.]]],[.,.]],[[.,.],.]]]],.]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0] => [[.,[[.,[.,[[[.,.],.],[.,[.,.]]]]],[[.,.],.]]],.]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,.]]],[[.,.],[[.,[.,[[.,.],.]]],.]]],.]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,[.,.]]],[[[.,.],[.,[.,.]]],[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[.,[[.,[[.,[.,[[.,.],.]]],.]],[.,[[.,.],.]]]],.]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[.,[[[.,[.,[.,.]]],[[.,.],.]],[.,[[.,.],.]]]],.]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[.,[.,[[.,.],[.,[[.,.],.]]]]],[.,[[.,.],.]]],.]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],[[.,.],[.,[[.,.],.]]]],.]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[[.,[.,[.,.]]],[.,.]],[[.,.],[.,[[.,.],.]]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [[.,[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]],[[.,.],.]]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [[.,[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]],[[.,.],.]]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [[.,[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]],[[.,.],.]]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [[.,[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]],[[.,.],.]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0] => [[.,[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]],[[.,.],.]]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]],.],[[.,.],.]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [[[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]],.],[[.,.],.]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0] => [[[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]],.],[[.,.],.]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]],.],[[.,.],.]]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0] => [[[.,[[.,[[.,[.,[.,.]]],.]],.]],[.,.]],[[.,.],.]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [[[.,[[[.,[.,[.,.]]],[.,.]],.]],[.,.]],[[.,.],.]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[.,[.,[[.,.],[.,[.,.]]]]],.],[.,.]],[[.,.],.]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[.,[[.,[.,[.,.]]],.]],[.,.]],[.,.]],[[.,.],.]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[.,[.,[.,.]]],[.,.]],[.,.]],[.,.]],[[.,.],.]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.],.],.]
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.],.]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.],[.,.]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [.,[[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.],.]]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0] => [[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,[.,.]]],.],.]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0] => [[[[[.,.],[[[.,.],[.,.]],[.,[.,.]]]],.],[.,.]],.]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[[[[.,.],[.,.]],[[.,.],[.,[.,.]]]],[.,.]],.],.]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[[[[.,.],[[.,.],[[.,.],[.,[.,[.,.]]]]]],.],.],.]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0] => [[[[.,.],[[[[.,.],[.,[.,.]]],.],[.,.]]],[.,.]],.]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [[[[.,.],[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]],.],.]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [[[[.,.],[[.,.],[[[.,[.,[.,.]]],.],.]]],[.,.]],.]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0] => [[[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]],.],.]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[[[[.,.],[[.,.],[.,[[.,.],[.,[.,.]]]]]],.],.],.]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [[[[.,.],[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]],.],.]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [[[[[.,.],[.,.]],[[.,[[.,[.,.]],[.,.]]],.]],.],.]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[[[.,.],[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]],.],.]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[.,.],[[[[[.,[.,.]],.],[.,.]],[.,.]],[.,.]]],.]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0] => [[[.,.],[[[[.,[[.,.],.]],[.,.]],[.,[.,.]]],.]],.]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0] => [[[.,.],[[[.,[[[.,.],.],[.,[.,.]]]],.],[.,.]]],.]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [[[.,.],[[[[.,[.,.]],.],[[.,[.,.]],[.,.]]],.]],.]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0] => [[[.,.],[[[.,[[.,.],.]],[[.,[.,[.,.]]],.]],.]],.]
[1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[[[.,.],[.,[[[[.,.],[.,.]],.],[.,.]]]],[.,.]],.]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0] => [[[[.,.],[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]],.],.]
[1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [[[.,.],[[.,[[[[.,[.,.]],.],.],[.,.]]],[.,.]]],.]
[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [[[.,.],[[.,[[[.,[[.,.],.]],.],[.,[.,.]]]],.]],.]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,[.,.]]],[[[.,.],[.,.]],.]],[.,.]],.]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[[[.,.],[[.,[.,.]],[[[.,[.,.]],.],.]]],[.,.]],.]
[1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [[[.,.],[[[.,[.,[[[.,.],.],[.,.]]]],.],[.,.]]],.]
[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0] => [[[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]],[.,.]],.]
[1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[.,.],[[.,[[.,[[[.,[.,.]],.],.]],.]],[.,.]]],.]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0] => [[[[[[.,.],[.,[.,.]]],[.,.]],[[.,.],[.,.]]],.],.]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[[[[.,.],[[.,[.,.]],[.,.]]],[[.,[.,.]],.]],.],.]
[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[.,.],[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]],.],.]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [[[[[.,.],[.,[[.,.],[.,[[.,.],[.,.]]]]]],.],.],.]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[.,.],[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]],.],.]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0] => [[[.,.],[[[[.,[.,[.,.]]],.],[[.,.],[.,.]]],.]],.]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [[[.,.],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]
[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [[[[.,.],[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]],.],.]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [[[.,.],[[.,[[[.,[.,[[.,.],.]]],.],[.,.]]],.]],.]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [[[[[.,.],[.,[.,[[.,.],[[.,.],[.,.]]]]]],.],.],.]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[[.,.],[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]],.],.]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[[.,.],[[[.,[.,[[.,[[.,.],.]],[.,.]]]],.],.]],.]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[[[.,.],[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]],.],.]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[[.,.],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[[[[[[.,.],.],[.,.]],[.,.]],[.,.]],[.,.]]],.]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [[.,[[[[[.,.],.],[[.,.],[.,.]]],[.,[.,.]]],.]],.]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[.,[[[[.,.],.],[[[.,.],[.,[.,.]]],.]],[.,.]]],.]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [[.,[[[[[.,.],.],[.,.]],[[.,[.,.]],[.,.]]],.]],.]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[.,[[[[.,.],.],[[.,.],[[.,[.,[.,.]]],.]]],.]],.]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[.,[[[.,.],.],[[[[.,[.,.]],.],[.,.]],[.,.]]]],.]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[.,[[[.,.],.],[[[.,[[.,.],.]],[.,[.,.]]],.]]],.]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[.,[[[[.,.],.],[.,[[[.,.],[.,.]],.]]],[.,.]]],.]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[.,[[[.,.],.],[[.,[[[.,[.,.]],.],.]],[.,.]]]],.]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[.,[[[[[.,.],.],[.,[.,.]]],[[.,.],[.,.]]],.]],.]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[.,[[[[.,.],.],[[.,[.,.]],[[.,[.,.]],.]]],.]],.]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[.,[[[.,.],.],[[[.,[.,[[.,.],.]]],[.,.]],.]]],.]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[.,[[[[.,.],.],[.,[[.,[[.,.],[.,.]]],.]]],.]],.]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,[[[.,.],.],[[.,[[.,[[.,[.,.]],.]],.]],.]]],.]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[[[[[.,.],.],[.,.]],[.,.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,.]],[[[[.,.],.],[[.,.],[.,[.,.]]]],.]],.]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[.,[.,.]],[[[.,.],.],[[[.,[.,.]],.],[.,.]]]],.]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [[[.,[.,.]],[[[[.,.],.],[.,[[.,.],[.,.]]]],.]],.]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,.]],[[[.,.],.],[[.,[[.,[.,.]],.]],.]]],.]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [[.,[[.,[[[[[.,.],.],.],[.,.]],[.,.]]],[.,.]]],.]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0] => [[.,[[.,[[[[.,.],.],.],[[.,.],[.,[.,.]]]]],.]],.]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[.,[[.,[[[.,.],.],.]],[[[.,[.,.]],.],[.,.]]]],.]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[[[[.,.],.],.],[.,[[.,.],[.,.]]]]],.]],.]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[.,[[[.,.],.],.]],[[.,[[.,[.,.]],.]],.]]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[[[[.,.],.],[.,.]],[.,.]]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[.,[.,.]],[.,.]],[[[.,.],.],[[.,[.,.]],.]]],.]
[1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[.,[[.,.],[.,[[[[.,.],.],.],[.,.]]]]],[.,.]],.]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[.,[[.,.],[.,[[[.,.],.],.]]]],[[.,[.,.]],.]],.]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[.,[[[.,[.,.]],.],[[[[.,.],.],[.,.]],[.,.]]]],.]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[.,[[[.,[.,.]],.],[[[.,.],.],[[.,[.,.]],.]]]],.]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[.,[.,[[.,.],[[[[.,.],.],.],[.,.]]]]],[.,.]],.]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[.,[.,[[.,.],[[[.,.],.],.]]]],[[.,[.,.]],.]],.]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [[.,[[.,[[.,[[[[.,.],.],.],.]],[.,.]]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [[.,[[.,[[.,[[[.,.],.],.]],.]],[[.,[.,.]],.]]],.]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[[[.,.],.],[.,.]]],.]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[[.,[[.,.],[.,.]]],[.,[[[.,.],.],.]]],[.,.]],.]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[.,[[[.,.],[.,[.,.]]],.]],[[[.,.],.],[.,.]]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[.,[.,.]],[[.,[.,.]],[[[.,.],.],.]]],[.,.]],.]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[.,[[.,.],[[.,[.,[[[.,.],.],.]]],.]]],[.,.]],.]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[.,[[[[.,[.,.]],.],[.,.]],[[[.,.],.],[.,.]]]],.]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[.,[[[.,[[.,.],.]],[.,[[[.,.],.],.]]],[.,.]]],.]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[.,[.,[[[.,.],[.,.]],.]]],[[[.,.],.],[.,.]]],.]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [[.,[[.,[[[.,[.,.]],.],.]],[[[.,.],.],[.,.]]]],.]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],[[.,.],[[[.,.],.],.]]],[.,.]],.]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[.,[[.,[.,.]],[[.,[[[.,.],.],.]],.]]],[.,.]],.]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0] => [[.,[[[.,[.,[[.,.],.]]],[[[.,.],.],.]],[.,.]]],.]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0] => [[[.,[.,[[.,[[.,.],[[[.,.],.],.]]],.]]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [[.,[[.,[[.,[[.,[[[.,.],.],.]],.]],.]],[.,.]]],.]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],.]],.]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [[[[[.,[[.,.],[.,.]]],[.,.]],[.,[[.,.],.]]],.],.]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [[[[.,[[[.,.],[.,.]],[.,[.,.]]]],.],[[.,.],.]],.]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [[[[[.,[.,.]],[[.,.],[.,[.,.]]]],[[.,.],.]],.],.]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[.,[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]],.],.],.]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [[[.,[[[[.,.],[.,[.,.]]],.],[.,.]]],[[.,.],.]],.]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0] => [[[.,[[[.,.],[[.,[.,.]],.]],[.,[[.,.],.]]]],.],.]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,.],.]],.]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [[[.,[[.,.],[[[.,[.,[.,.]]],.],.]]],[[.,.],.]],.]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[[[[.,[.,.]],[.,[[.,.],[.,.]]]],[[.,.],.]],.],.]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[[[.,[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]],.],.],.]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0] => [[[.,[[[.,.],[.,[[.,[.,.]],.]]],[[.,.],.]]],.],.]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[[[.,[.,.]],[[.,[[.,[.,.]],[[.,.],.]]],.]],.],.]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[[.,[[.,.],[[.,[[.,[.,[[.,.],.]]],.]],.]]],.],.]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0] => [[.,[[[[[.,[.,.]],.],[.,.]],[.,.]],[[.,.],.]]],.]
[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0] => [[.,[[[[.,[[.,.],.]],[.,.]],[.,[[.,.],.]]],.]],.]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0] => [[.,[[[.,[[[.,.],.],[.,[.,.]]]],.],[[.,.],.]]],.]
[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[.,[[[[.,[.,.]],.],[[.,[.,.]],[[.,.],.]]],.]],.]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[.,[[[.,[[.,.],.]],[[.,[.,[[.,.],.]]],.]],.]],.]
[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0] => [[[.,[.,[[[[.,.],[.,.]],.],[.,.]]]],[[.,.],.]],.]
[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[[.,.],[[.,.],.]],[.,[[.,.],.]]]]],.],.]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0] => [[.,[[.,[[[[.,[.,.]],.],.],[.,.]]],[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0] => [[.,[[.,[[[.,[[.,.],.]],.],[.,[[.,.],.]]]],.]],.]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[.,[.,[.,.]]],[[[.,.],[.,.]],.]],[[.,.],.]],.]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [[[.,[[.,[.,.]],[[[.,[.,.]],.],.]]],[[.,.],.]],.]
[1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0] => [[.,[[[.,[.,[[[.,.],.],[.,.]]]],.],[[.,.],.]]],.]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [[[.,[.,[[.,[[[.,.],[.,.]],.]],.]]],[[.,.],.]],.]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [[.,[[.,[[.,[[[.,[.,.]],.],.]],.]],[[.,.],.]]],.]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[[.,[.,[.,.]]],[.,.]],[[.,.],[[.,.],.]]],.],.]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[[.,[[.,[.,.]],[.,.]]],[[.,[[.,.],.]],.]],.],.]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[.,[[[.,[.,.]],[.,[[.,.],.]]],[[.,.],.]]],.],.]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[[.,[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]],.],.],.]
[1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[.,[[.,[[.,.],[.,[[.,[[.,.],.]],.]]]],.]],.],.]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [[.,[[[[.,[.,[.,.]]],.],[[.,.],[[.,.],.]]],.]],.]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [[.,[[[.,[[.,[.,.]],.]],[[.,[[.,.],.]],.]],.]],.]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [[[.,[.,[[[.,[.,.]],[[.,.],.]],[[.,.],.]]]],.],.]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [[.,[[.,[[[.,[.,[[.,.],.]]],.],[[.,.],.]]],.]],.]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [[[[.,[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]],.],.],.]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [[[.,[[.,[.,[[.,.],[[.,[[.,.],.]],.]]]],.]],.],.]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [[.,[[[.,[.,[[.,[[.,.],.]],[[.,.],.]]]],.],.]],.]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [[[.,[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]],.],.]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.],.],.]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0] => [[.,.],[[[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]],.],.]]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[.,.],[[[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]],.],.]]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [[.,.],[[[[[.,[[[.,.],[.,.]],.]],[.,.]],.],.],.]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0] => [[.,.],[[[[[.,[.,.]],[.,.]],[.,[.,.]]],[.,.]],.]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[.,.],[[[[.,[.,.]],[[.,[.,[.,.]]],.]],[.,.]],.]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[.,.],[[.,[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]],.]]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[.,.],[[.,[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]],.]]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[.,.],[[.,[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]],.]]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[.,.],[[[[.,[.,[[.,.],.]]],[.,.]],[.,[.,.]]],.]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[.,.],[[.,[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]],.]]
[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,.],[[.,[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]],.]]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [[.,.],[[[[.,[[[.,[[.,.],.]],[.,.]],.]],.],.],.]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0] => [[.,.],[[[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]],.],.]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[.,.],[[[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]],.],.]]
[1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[[[.,.],[[[.,.],.],[[[.,.],[.,[.,.]]],.]]],.],.]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [[[[.,.],[[[[[.,.],.],[.,.]],[.,.]],.]],[.,.]],.]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[[.,.],[[.,.],.]],[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[.,.],[[.,.],.]],[[[.,[[.,[.,.]],.]],.],.]],.]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[.,.],[[[[.,.],.],[.,[[.,.],.]]],[.,.]]],.],.]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,[.,.]]]]],.]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[[.,.],[.,.]],[.,[[.,.],[.,[[.,[.,.]],.]]]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[[.,.],[.,[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[[.,.],[.,[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]]],.]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0] => [[[[.,.],[[[.,.],[.,[[[.,.],.],.]]],[.,.]]],.],.]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [[[[[[.,.],[.,.]],[.,.]],.],[[[.,.],[.,.]],.]],.]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[.,.],[.,[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]]],.]
[1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [[[.,.],[[[.,[[.,[[[.,.],.],.]],.]],[.,.]],.]],.]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [[[[[.,.],[.,[[.,.],.]]],[[[.,.],.],[.,.]]],.],.]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[[[.,.],[[[.,.],[.,[.,.]]],[.,[.,.]]]],.],[.,.]]
[1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[.,.],[[.,.],[.,[[.,[.,[.,.]]],.]]]],.],[.,.]]
[1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0] => [[[[[[.,.],[[[.,.],[.,.]],.]],[.,.]],.],.],[.,.]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[[[[[.,.],[.,.]],[.,.]],[.,[.,.]]],[.,.]],[.,.]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[[.,.],[.,.]],[[.,[.,[.,.]]],.]],[.,.]],[.,.]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[.,.],[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]],[.,.]]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [[[.,.],[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]],[.,.]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]],[.,.]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [[[[[.,.],[.,[[.,.],.]]],[.,.]],[.,[.,.]]],[.,.]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[[.,.],[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]],[.,.]]
[1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[[.,.],[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]],[.,.]]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0] => [[[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],.],.],[.,.]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [[[[[.,.],[.,[.,.]]],[.,[[.,.],[.,.]]]],.],[.,.]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[[[.,.],[.,[[.,[.,[[.,.],.]]],[.,.]]]],.],[.,.]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[[.,[[[.,.],[.,[.,.]]],.]],.],.]]]]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [.,[.,[[.,.],[[[[[.,[.,.]],[.,.]],.],[.,.]],.]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [.,[.,[[.,.],[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[.,[[.,.],[[.,[[[.,[[.,[.,.]],.]],.],.]],.]]]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [.,[.,[[.,.],[[[[.,[.,[[.,.],.]]],[.,.]],.],.]]]]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [.,[.,[[[[.,.],[[[.,.],.],[.,.]]],[.,[.,.]]],.]]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [.,[.,[[[[.,.],[[.,.],.]],[.,[[.,[.,.]],.]]],.]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [.,[.,[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]],.]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [.,[.,[[[.,.],[.,[[.,[[[.,.],.],[.,.]]],.]]],.]]]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [.,[.,[[[[.,.],[[[.,.],[.,[.,.]]],.]],.],[.,.]]]]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [.,[.,[[[[[[.,.],[.,.]],[.,.]],.],[.,.]],[.,.]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [.,[.,[[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]],[.,.]]]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [.,[.,[[[.,.],[[[.,[[.,[.,.]],.]],.],.]],[.,.]]]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [.,[.,[[[[[.,.],[.,[[.,.],.]]],[.,.]],.],[.,.]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[[.,.],.]],.],[[[.,[.,.]],[.,[.,.]]],.]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [.,[[[.,[[.,.],.]],.],[[.,[.,[[.,[.,.]],.]]],.]]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0] => [.,[[[.,[[[[.,.],.],.],[[[.,.],.],[.,.]]]],.],.]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0] => [.,[[[.,[[[[.,.],.],.],[.,.]]],[.,[.,.]]],[.,.]]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0] => [.,[[[.,[[[.,.],.],.]],[.,[[.,[.,.]],.]]],[.,.]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],.],[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],.],[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,.]],.],[[[[.,.],[[[.,.],.],[.,.]]],.],.]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [[[.,[.,.]],.],[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],.],[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],[.,[[.,.],.]]],[[[.,[.,.]],.],.]]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [.,[[[.,[.,.]],[.,[[[[.,.],.],[.,.]],.]]],[.,.]]]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,[[.,[[.,.],.]],.]]],[[[.,[.,.]],.],.]]]
[1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [.,[[.,[.,[[.,[[[[.,.],.],.],[.,.]]],.]]],[.,.]]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[[.,[[[.,.],.],[[.,.],.]]],.],[[[.,[.,.]],.],.]]
[1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[[.,[[[.,.],.],[[[[.,.],.],.],[.,.]]]],.],[.,.]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,[.,.]]],[[.,.],[[[.,[.,.]],.],.]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,[.,.]]],[[[[.,.],[.,.]],.],[.,.]]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,[[.,[.,.]],.]]],[[.,.],[[[.,[.,.]],.],.]]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],[[[[.,.],[.,.]],.],[.,.]]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [.,[[[.,[[[.,.],[.,[[.,.],.]]],.]],.],[.,[.,.]]]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [.,[[[[[.,[.,.]],[.,.]],.],[[.,.],.]],[.,[.,.]]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [.,[[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]],[.,[.,.]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [.,[[.,[[[.,[[.,[[.,.],.]],.]],.],.]],[.,[.,.]]]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [.,[[[[.,[.,[[.,.],.]]],[[.,.],.]],.],[.,[.,.]]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[.,[[[.,.],.],[.,.]]],[.,[[.,.],.]]],[.,[.,.]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]],[.,[.,.]]]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,.]],[.,[[[.,.],[[.,.],.]],.]]],[.,[.,.]]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [[.,[.,[[.,[[[.,.],.],[[.,.],.]]],.]]],[.,[.,.]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[.,[[[.,.],[.,[.,.]]],.]],.],[[.,.],[.,[.,.]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[[.,[.,.]],[.,.]],.],[.,.]],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [[.,[[[.,[[.,[.,.]],.]],.],.]],[[.,.],[.,[.,.]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,[[.,.],.]]],[.,.]],.],[[.,.],[.,[.,.]]]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0] => [.,[[[.,[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]],.],.]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [.,[[[.,[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]],.],.]]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0] => [.,[[[[[.,[[[.,.],[.,.]],.]],[[.,.],.]],.],.],.]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0] => [.,[[[[[.,[.,.]],[.,.]],[.,[.,.]]],[[.,.],.]],.]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [.,[[[[.,[.,.]],[[.,[.,[.,.]]],.]],[[.,.],.]],.]]
[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [.,[[.,[.,[[.,[[[.,.],[.,[[.,.],.]]],.]],.]]],.]]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [.,[[.,[.,[[[[.,[.,.]],[.,.]],.],[[.,.],.]]]],.]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [.,[[.,[[[.,[[.,[.,.]],.]],.],[.,[[.,.],.]]]],.]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [.,[[[[.,[.,[[.,.],.]]],[.,.]],[.,[[.,.],.]]],.]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [.,[[.,[[[.,[.,[.,.]]],[[.,[[.,.],.]],.]],.]],.]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [.,[[.,[[.,[.,[[.,[[.,[[.,.],.]],.]],.]]],.]],.]]
[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0] => [.,[[[[.,[[[.,[[.,.],.]],[[.,.],.]],.]],.],.],.]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [.,[[[[.,[.,[.,.]]],[.,[[.,.],[[.,.],.]]]],.],.]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [.,[[[.,[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]],.],.]]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[[.,[[[.,.],.],[[[.,.],[.,[[.,.],.]]],.]]],.],.]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0] => [[[.,[[[[[.,.],.],[.,.]],[.,.]],.]],[[.,.],.]],.]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[[.,[[.,.],.]],[.,[[.,[.,.]],[.,[[.,.],.]]]]],.]
[1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[.,[[.,.],.]],[[[.,[[.,[[.,.],.]],.]],.],.]],.]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[.,[[[[.,.],.],[.,[[.,.],.]]],[[.,.],.]]],.],.]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[.,[.,.]],[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]],.]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[.,[.,.]],[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]],.]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[.,[.,[[.,[[[.,.],.],[.,.]]],[.,[[.,.],.]]]]],.]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[.,[.,[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]]]],.]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[.,[[[.,.],[.,[[[.,.],.],.]]],[[.,.],.]]],.],.]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0] => [[[[[.,[.,.]],[.,.]],.],[[[.,.],[[.,.],.]],.]],.]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[.,[.,[[.,[.,.]],[.,[[[.,.],[[.,.],.]],.]]]]],.]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [[.,[[[.,[[.,[[[.,.],.],.]],.]],[[.,.],.]],.]],.]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[.,[.,[[.,.],.]]],[[[.,.],.],[[.,.],.]]],.],.]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]],.],[[.,.],.]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]],.],[[.,.],.]]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0] => [[[[[.,[[[.,.],[.,.]],.]],[.,.]],.],.],[[.,.],.]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[[[[.,[.,.]],[.,.]],[.,[.,.]]],[.,.]],[[.,.],.]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],[[.,[.,[.,.]]],.]],[.,.]],[[.,.],.]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [[.,[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]],[[.,.],.]]
[1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [[.,[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]],[[.,.],.]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]],[[.,.],.]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0] => [[[[.,[.,[[.,.],.]]],[.,.]],[.,[.,.]]],[[.,.],.]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0] => [[.,[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]],[[.,.],.]]
[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[.,[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]],[[.,.],.]]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0] => [[[[.,[[[.,[[.,.],.]],[.,.]],.]],.],.],[[.,.],.]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [[[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]],.],[[.,.],.]]
[1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]],.],[[.,.],.]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[[.,.],[.,[[[[.,.],.],.],[.,.]]]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[.,[[.,.],.]],[[.,.],[.,[.,[[[[.,.],.],.],.]]]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[.,.],[.,[[[.,.],[.,.]],[[[[.,.],.],.],[.,.]]]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[.,[.,[[.,.],.]]],[[.,.],[.,[[[[.,.],.],.],.]]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[.,[.,.]],[[[.,.],[.,.]],[[[[.,.],.],.],[.,.]]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],.],[.,[[.,.],[.,[[.,[[[.,.],.],.]],.]]]]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],[[.,.],.]],[[.,.],[.,[.,.]]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[[[.,.],[.,[.,.]]],[[[[.,.],.],.],.]]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],.],[.,[[.,[.,.]],[[.,[[[.,.],.],.]],.]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[[.,.],.],.],[.,[[.,.],[.,.]]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[[.,.],.]]],[[.,[.,.]],[[[[.,.],.],.],.]]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[.,[[[.,.],.],.]],[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,.],.]],[[.,[.,[.,.]]],[[[[.,.],.],.],.]]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,.]],[[.,[.,.]],[[.,[[[.,.],.],.]],.]]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[[[.,[.,.]],.],[.,[[[[.,.],.],.],.]]]]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[[[.,.],.],.],[.,.]],[[[.,[.,.]],.],[.,[.,.]]]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[[.,[[.,[.,.]],.]],[[[[.,.],.],.],.]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[[[.,.],.],.],[.,[.,.]]],[[[.,[.,.]],.],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[[.,[[.,[.,.]],.]],[[[[.,.],.],.],.]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[.,[[[.,.],.],[.,.]]],.],[.,[[[.,.],.],[.,.]]]]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[.,[[.,[[[.,.],.],[.,.]]],.]],[[[.,.],.],[.,.]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[[[.,.],.],[.,.]],.],[.,[[[.,[.,.]],.],[.,.]]]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [[.,[[[[.,.],.],[.,.]],.]],[[[.,[.,.]],.],[.,.]]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[.,.],.],[.,[[.,[[.,.],[.,[[[.,.],.],.]]]],.]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[[[.,.],.],[.,.]],.],[.,[[[.,.],[.,[.,.]]],.]]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,.],.],[.,[[.,[[.,[.,.]],[[[.,.],.],.]]],.]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[[[.,.],.],[.,[.,.]]],.],[.,[[[.,.],[.,.]],.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,[.,.]],.],[.,[[[.,[.,.]],[[[.,.],.],.]],.]]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],[[[[.,.],.],.],.]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,[.,[[.,.],.]]]],[[.,[[[.,.],.],.]],.]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[[.,.],.],[.,.]],[[.,.],[.,.]]]],[[.,.],.]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,[[.,.],.]]],[[.,[.,[[[.,.],.],.]]],.]]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[[.,.],.],[.,.]],[[.,.],[.,.]]],[[.,[.,.]],.]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],[[[[.,.],.],.],.]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,.],[.,[.,.]]],[[[.,[.,.]],[[[.,.],.],.]],.]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[[[.,.],.],[.,[.,.]]],[[.,.],.]]],[[.,.],.]]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],[[[[.,.],.],.],.]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],[.,[[[.,.],.],[.,.]]]],.]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[[.,[.,.]],[[.,.],.]],[[.,[.,[[[.,.],.],.]]],.]]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[.,.],[.,.]],[[[.,[.,.]],[[[.,.],.],[.,.]]],.]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[[.,[.,[.,.]]],[[.,.],.]],[[.,[[[.,.],.],.]],.]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[[[.,.],.],[.,.]],.]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [[.,.],[.,[[[[[.,.],[.,.]],.],.],[.,[[.,.],.]]]]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[.,.],[.,.]],[[[[[.,.],[.,.]],.],.],[.,[.,.]]]]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[.,.],[.,[[.,[[[[.,.],[.,.]],.],.]],[[.,.],.]]]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[.,.],[.,[.,.]]],[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[.,[.,.]],[[.,[[[[.,.],[.,.]],.],.]],[[.,.],.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[.,[.,.]],.],[.,[[[[[.,.],[.,.]],.],.],[.,.]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[.,[[.,[.,.]],.]],[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[.,.],.],[.,[[.,[[[[.,.],[.,.]],.],[.,.]]],.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[.,[.,.]],.],[.,[[[[[.,.],[.,.]],.],[.,.]],.]]]
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[.,[[.,.],[.,[[[[.,.],[.,.]],.],.]]]],[[.,.],.]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[.,.],[.,[.,.]]],[[[[[.,.],[.,.]],.],[.,.]],.]]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[.,[[.,[.,.]],[[[[.,.],[.,.]],.],.]]],[[.,.],.]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [[[.,.],[.,.]],[[[[[.,.],[.,.]],.],[.,[.,.]]],.]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[[[[.,.],[.,.]],.],.]],[[.,[.,.]],.]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[.,.],[.,[[.,.],.]]],.],.],[.,[[.,.],[.,.]]]]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[.,[[[[.,.],[.,[[.,.],.]]],.],.]],[[.,.],[.,.]]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[[.,.],[.,[[.,.],.]]],.],.],[.,[[.,[.,.]],.]]]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [[.,[[[[.,.],[.,[[.,.],.]]],.],[.,.]]],[[.,.],.]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[[.,.],[.,[[.,.],.]]],.],[.,.]],[[.,[.,.]],.]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[.,[.,.]],[[.,.],.]],.],.],[.,[[.,.],[.,.]]]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[.,[[[[.,[.,.]],[[.,.],.]],.],.]],[[.,.],[.,.]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[[.,[.,.]],[[.,.],.]],.],.],[.,[[.,[.,.]],.]]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [[.,[[[[.,[.,.]],[[.,.],.]],.],[.,.]]],[[.,.],.]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[[.,[.,.]],[[.,.],.]],.],[.,.]],[[.,[.,.]],.]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [[.,.],[.,[[[[[.,.],.],[.,[[.,.],[.,.]]]],.],.]]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [[.,[.,.]],[[[[[.,.],.],[.,[[.,.],[.,.]]]],.],.]]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [[.,.],[.,[[[[.,[[.,.],.]],[[.,.],[.,.]]],.],.]]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [[.,[.,.]],[[[[.,[[.,.],.]],[[.,.],[.,.]]],.],.]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [[.,.],[.,[[[[[.,.],.],[.,[[.,[.,.]],.]]],.],.]]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[[[[.,.],.],[.,[[.,[.,.]],.]]],.],.]]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[.,.],[.,[[[[.,[[.,.],[.,.]]],[[.,.],.]],.],.]]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[.,[.,.]],[[[[.,[[.,.],[.,.]]],[[.,.],.]],.],.]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[.,.],[.,[[[[[.,.],[.,.]],[[.,[.,.]],.]],.],.]]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[[[[.,.],[.,.]],[[.,[.,.]],.]],.],.]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [[[[.,.],[.,[[[.,.],.],[.,[[.,.],.]]]]],.],[.,.]]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [[[[[.,.],[.,.]],[[[.,.],.],[.,[.,.]]]],.],[.,.]]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[.,.],[.,[[.,[[.,.],.]],[[.,.],.]]]],.],[.,.]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[[.,.],[.,[.,.]]],[[[.,.],.],[.,.]]],.],[.,.]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[.,[.,.]],[[.,[[.,.],.]],[[.,.],.]]],.],[.,.]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[[.,[.,.]],.],[.,[[[.,.],.],[.,.]]]],.],[.,.]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[.,[[.,[.,.]],.]],[[[.,.],.],[.,.]]],.],[.,.]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [[[[[.,.],.],[.,[[.,[[.,.],[.,.]]],.]]],.],[.,.]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[[.,[.,.]],.],[.,[[[.,.],[.,.]],.]]],.],[.,.]]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[.,[[.,.],[.,[[.,.],.]]]],[[.,.],.]],.],[.,.]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[[.,.],[.,[.,.]]],[[[.,.],[.,.]],.]],.],[.,.]]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[.,[[.,[.,.]],[[.,.],.]]],[[.,.],.]],.],[.,.]]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[[[.,.],[.,.]],[[[.,.],[.,[.,.]]],.]],.],[.,.]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [[[[[.,[.,.]],[[.,.],.]],[[.,[.,.]],.]],.],[.,.]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]],.]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [[[.,[[.,.],.]],[[.,.],[.,[.,[[[.,.],.],.]]]]],.]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[.,.],[.,[[[.,.],[.,.]],[[[.,.],.],[.,.]]]]],.]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],[[.,.],[.,[[[.,.],.],.]]]],.]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[.,[.,.]],[[[.,.],[.,.]],[[[.,.],.],[.,.]]]],.]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[.,.],.],[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]],.]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [[[[.,[[.,.],.]],[[.,.],.]],[[.,.],[.,[.,.]]]],.]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,.],[.,[[[.,.],[.,[.,.]]],[[[.,.],.],.]]]],.]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[.,.],.],[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]],.]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[.,.],.],[.,[[.,.],[.,.]]]],[[.,.],[.,.]]],.]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],[[.,[.,.]],[[[.,.],.],.]]],.]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[.,[[.,.],.]],[[.,.],[.,.]]],[[.,.],[.,.]]],.]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,[[.,.],.]],[[.,[.,[.,.]]],[[[.,.],.],.]]],.]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[.,.],[.,.]],[[.,[.,.]],[[.,[[.,.],.]],.]]],.]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,[[[.,[.,.]],.],[.,[[[.,.],.],.]]]]],.]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[[.,.],.],[.,.]],[[[.,[.,.]],.],[.,[.,.]]]],.]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[.,.],[.,[[.,[[.,[.,.]],.]],[[[.,.],.],.]]]],.]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[[[.,.],.],[.,[.,.]]],[[[.,[.,.]],.],[.,.]]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],[[[.,.],.],.]]],.]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[[.,[[.,.],[.,.]]],.],[.,[[[.,.],.],[.,.]]]],.]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[.,[[.,[[.,.],[.,.]]],.]],[[[.,.],.],[.,.]]],.]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,[[[.,[.,.]],.],[.,.]]]],.]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[.,[[[.,.],[.,.]],.]],[[[.,[.,.]],.],[.,.]]],.]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[[[.,.],.],[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]],.]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[[[[.,.],[.,.]],.],[.,[[[.,.],[.,[.,.]]],.]]],.]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[.,.],.],[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]],.]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[[.,.],[.,[.,.]]],.],[.,[[[.,.],[.,.]],.]]],.]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[.,[.,.]],.],[.,[[[.,[.,.]],[[.,.],.]],.]]],.]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [[[.,[[.,.],[.,[[.,.],[.,.]]]]],[[[.,.],.],.]],.]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[[.,.],[.,[.,[[.,.],.]]]],[[.,[[.,.],.]],.]],.]
[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0] => [[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],.]],.]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[[.,.],[.,[[.,.],.]]],[[.,[.,[[.,.],.]]],.]],.]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,[.,.]],.]],.]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[.,[[.,.],[.,[[.,[.,.]],.]]]],[[[.,.],.],.]],.]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[.,.],[.,[.,.]]],[[[.,[.,.]],[[.,.],.]],.]],.]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[[[.,.],[.,[.,.]]],[[.,.],.]]],[[.,.],.]],.]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[.,[[.,[.,.]],[[.,[.,.]],.]]],[[[.,.],.],.]],.]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [[[[.,.],[.,.]],[[[.,.],[.,[[.,.],[.,.]]]],.]],.]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[[.,[.,.]],[[.,.],.]],[[.,[.,[[.,.],.]]],.]],.]
[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[[[.,.],[.,.]],[[[.,[.,.]],[[.,.],[.,.]]],.]],.]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[[.,[.,[.,.]]],[[.,.],.]],[[.,[[.,.],.]],.]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [[[[.,[.,.]],[[.,[.,.]],.]],[[[.,.],[.,.]],.]],.]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.],.],.],.]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [.,[.,[[.,[[.,[[[.,[[.,.],[.,.]]],.],.]],.]],.]]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [.,[.,[[.,[[[.,[[.,[[.,.],.]],[.,.]]],.],.]],.]]]
[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [.,[.,[.,[[[[.,[[.,.],[[.,.],[.,.]]]],.],.],.]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[.,[[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],.]],.]]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0] => [.,[.,[[[.,[[.,[[.,[[.,.],.]],.]],[.,.]]],.],.]]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [.,[.,[.,[[[.,[[.,.],[[[.,.],.],[.,.]]]],.],.]]]]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [.,[.,[[[[.,[.,.]],[[.,[[.,.],.]],[.,.]]],.],.]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [.,[.,[[.,[[.,[.,.]],.]],[[[[.,.],[.,.]],.],.]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [.,[.,[[.,[.,.]],[[.,.],[[[[.,.],[.,.]],.],.]]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[[.,[.,.]],[[.,[[[.,[[.,.],[.,.]]],.],.]],.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [.,[[.,[.,.]],[[[.,[[.,[[.,.],.]],[.,.]]],.],.]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [.,[[.,[.,.]],[[.,[.,.]],[[[[.,.],[.,.]],.],.]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [.,[[.,[[.,[.,.]],.]],[[[.,[[.,.],[.,.]]],.],.]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [.,[[[.,[.,.]],[.,.]],[[[.,[[.,.],[.,.]]],.],.]]]
[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [.,[.,[[.,[[.,[[.,[[[.,.],.],.]],.]],[.,.]]],.]]]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [.,[.,[.,[[[.,[[[.,.],[[.,.],.]],.]],[.,.]],.]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[[.,[[[.,.],.],.]],[.,.]]],.]]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [.,[.,[.,[[.,[[[.,.],.],[[[.,.],.],[.,.]]]],.]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [.,[.,[.,[[.,.],[[[[.,.],[[.,.],.]],[.,.]],.]]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [.,[[.,[.,.]],[[.,[[.,[[[.,.],.],.]],[.,.]]],.]]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [.,[[.,[.,.]],[.,[[[.,.],[[[.,.],.],[.,.]]],.]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [.,[[.,[[.,[.,.]],.]],[[.,[[[.,.],.],[.,.]]],.]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],[[.,[[[.,.],.],[.,.]]],.]]]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [.,[.,[.,[[.,[[[[.,.],.],.],[[.,.],[.,.]]]],.]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[[.,.],[.,.]],.],[[[.,.],[.,.]],.]]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [.,[[.,[.,.]],[.,[[[[.,.],.],[[.,.],[.,.]]],.]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[[.,.],.],[.,.]],[[[.,.],[.,.]],.]]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [.,[.,[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[.,[.,.]],[.,[[.,[[[.,[[.,.],[.,.]]],.],.]],.]]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,[[.,[[.,.],.]],[.,.]]],.],.]]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[.,[.,.]],[.,[[.,[.,.]],[[[[.,.],[.,.]],.],.]]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[.,[.,.]],[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],.]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[.,[.,.]],[.,[[.,[[.,[[[.,.],.],.]],[.,.]]],.]]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[.,[.,.]],[.,[.,[[[.,.],[[[.,.],.],[.,.]]],.]]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[.,[.,.]],[[.,[.,.]],[[.,[[[.,.],.],[.,.]]],.]]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[.,[.,.]],[.,[.,[[[[.,.],.],[[.,.],[.,.]]],.]]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[.,[.,.]],[.,[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[.,.]],.]],[.,[[[.,[[.,.],[.,.]]],.],.]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[.,[[.,[[[.,.],.],[.,.]]],.]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[.,[[.,.],[[[.,.],[.,.]],.]]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,[[[.,[[.,.],[.,.]]],.],.]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[.,[[.,[[[.,.],.],[.,.]]],.]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[.,[[.,.],[[[.,.],[.,.]],.]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],[.,[[[.,.],[.,.]],.]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],[.,[[[.,.],[.,.]],.]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[.,[[[.,.],[.,.]],.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],[.,[[[.,.],[.,.]],.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[.,[[[.,.],[.,.]],.]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],[.,.]]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0] => [.,[.,[[.,[[[.,[[.,.],[[.,.],.]]],.],.]],[.,.]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0] => [.,[[.,[[[.,[.,.]],[[.,[[.,.],.]],.]],.]],[.,.]]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [.,[.,[[[.,[[.,[[.,.],.]],[[.,.],.]]],.],[.,.]]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [.,[.,[[.,[[.,.],[.,.]]],[[[[.,.],.],.],[.,.]]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [.,[[[.,[.,.]],[[.,[[.,[[.,.],.]],.]],.]],[.,.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [.,[[.,[.,.]],[[[.,[[.,.],[[.,.],.]]],.],[.,.]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0] => [.,[[[.,[[.,[.,.]],.]],[[.,[[.,.],.]],.]],[.,.]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [.,[[[[.,[.,.]],[.,.]],[[.,[[.,.],.]],.]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [.,[[.,[[.,[[.,[.,.]],.]],.]],[[[.,.],.],[.,.]]]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [.,[.,[[[.,[[.,.],[.,.]]],.],[[[.,.],.],[.,.]]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [.,[[[.,[.,.]],[[.,[.,.]],.]],[[[.,.],.],[.,.]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [.,[[.,[[.,[.,.]],.]],[[.,.],[[[.,.],.],[.,.]]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [.,[[.,[.,.]],[[.,.],[[.,.],[[[.,.],.],[.,.]]]]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[.,[.,.]],[[.,[[.,[[.,[[.,.],.]],.]],.]],[.,.]]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [[.,[.,.]],[.,[[[.,[[.,.],[[.,.],.]]],.],[.,.]]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[.,.]],[[[.,[.,.]],[[.,[[.,.],.]],.]],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[.,[.,.]],[[.,[[.,[.,.]],.]],[[[.,.],.],[.,.]]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[.,[.,.]],[[.,[.,.]],[[.,.],[[[.,.],.],[.,.]]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,[.,.]],.]],[[.,[[.,[[.,.],.]],.]],[.,.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[.,[[.,[.,.]],.]],[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[.,[.,.]],[.,.]],[[.,[[.,[[.,.],.]],.]],[.,.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,.]],[.,.]],[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,.],.]],[.,.]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,.],.]],[.,.]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,.],.]],[.,.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,.],.]],[.,.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,.],.]],[.,.]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],.],[[.,.],[.,.]]]]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [.,[.,[[.,[[[.,.],[[.,.],.]],.]],[[.,.],[.,.]]]]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],.],[[.,.],[.,.]]]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [.,[.,[[[.,[[[.,.],.],[.,.]]],.],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [.,[.,[[.,.],[[[.,.],[[.,.],.]],[[.,.],[.,.]]]]]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],.],[[.,.],[.,.]]]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[.,[.,.]],[.,[[[[.,.],[.,.]],.],[[.,.],[.,.]]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0] => [.,[.,[[.,[[[[.,.],.],.],[.,.]]],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [.,[.,[[[[.,.],[.,.]],.],[[.,.],[[.,.],[.,.]]]]]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[.,[.,.]],[.,[[[[.,.],.],[.,.]],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [.,[.,[[[[.,.],.],[.,.]],[[.,.],[[.,.],[.,.]]]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,.],[[.,[.,.]],.]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]],.]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[.,.],[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [.,[[.,.],[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[.,.],[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [.,[[.,.],[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,.],[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[.,.],[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [.,[[.,.],[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [.,[[.,.],[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [.,[[.,.],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]]]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [.,[[.,.],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [.,[[.,.],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [.,[[.,.],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [.,[[[.,[.,.]],.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [.,[[[.,[.,.]],.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[.,.]],.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],.],[[.,.],[[.,[.,.]],.]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],.],[[[.,[.,.]],[.,.]],.]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],.],[[.,.],[[.,[.,.]],.]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],.],[[.,[.,.]],.]]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],.],[[.,[.,.]],.]]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],.],[[.,[.,.]],.]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],.],[[.,[.,.]],.]]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[.,[.,.]],[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]]],.]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]]],.]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]],.]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],[.,.]]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],[.,.]]],.]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0] => [[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],[.,.]]],.]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],[.,.]]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],[.,.]]],.]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],[.,.]]],.]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],[.,.]]],.]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,[.,.]]],.]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0] => [[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,[.,.]]],.]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,[.,.]]],.]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0] => [[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,[.,.]]],.]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0] => [[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,[.,.]]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,[.,.]]],.]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,[.,.]]],.]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,[.,.]]],.]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,[.,.]]],.]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0] => [[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,[.,.]]],.]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,[.,.]]],.]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,[.,.]]],.]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,[.,.]]],.]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,[.,.]]],.]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Return the binary tree corresponding to the Dyck path under the transformation up step - left tree - down step - right tree.
A Dyck path $D$ of semilength $n$ with $ n > 1$ may be uniquely decomposed into $1L0R$ for Dyck paths L,R of respective semilengths $n_1, n_2$ with $n_1 + n_2 = n-1$.
This map sends $D$ to the binary tree $T$ consisting of a root node with a left child according to $L$ and a right child according to $R$ and then recursively proceeds.
The base case of the unique Dyck path of semilength $1$ is sent to a single node.
References
[1] http://people.brandeis.edu/~igusa/Math47aF08/M47F08Note09b4.pdf
Properties
bijective, graded
Sage code
def mapping(D):
    return D.to_binary_tree("1L0R")
Weight
26
Created
Jan 19, 2020 at 07:29 by FindStatCrew
Updated
Jan 19, 2020 at 07:29 by Martin Rubey