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Identifier
Mp00140: Dyck paths —logarithmic height to pruning number⟶ Binary trees
Images
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[1,0,1,1,1,0,0,0] => [.,[[.,.],[.,.]]]
[1,1,0,0,1,0,1,0] => [[.,[.,[.,.]]],.]
[1,1,0,0,1,1,0,0] => [[.,[[.,.],.]],.]
[1,1,0,1,0,0,1,0] => [[[.,[.,.]],.],.]
[1,1,0,1,0,1,0,0] => [[[[.,.],.],.],.]
[1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.]
[1,1,1,0,0,0,1,0] => [[.,.],[.,[.,.]]]
[1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]]
[1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]]
[1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]]
[1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]]
[1,0,1,0,1,1,0,0,1,0] => [.,[.,[[.,[.,.]],.]]]
[1,0,1,0,1,1,0,1,0,0] => [.,[.,[[[.,.],.],.]]]
[1,0,1,0,1,1,1,0,0,0] => [.,[.,[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,0,1,0] => [.,[[.,[.,[.,.]]],.]]
[1,0,1,1,0,0,1,1,0,0] => [.,[[.,[[.,.],.]],.]]
[1,0,1,1,0,1,0,0,1,0] => [.,[[[.,[.,.]],.],.]]
[1,0,1,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]]
[1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]]
[1,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[.,[.,.]]]]
[1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]]
[1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]]
[1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]]
[1,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],.]
[1,1,0,0,1,0,1,1,0,0] => [[.,[.,[[.,.],.]]],.]
[1,1,0,0,1,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.]
[1,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],.]
[1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.]
[1,1,0,1,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.]
[1,1,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],.]
[1,1,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],.],.]
[1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.]
[1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.]
[1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.]
[1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.]
[1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.]
[1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.]
[1,1,1,0,0,0,1,0,1,0] => [[.,.],[.,[.,[.,.]]]]
[1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]]
[1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]]
[1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]]
[1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]]
[1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]]
[1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]]
[1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]]
[1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]]
[1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]]
[1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]]
[1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]]
[1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]]
[1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]]
[1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[[.,[.,.]],.]]]]
[1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[[.,.],.],.]]]]
[1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[.,.],[.,.]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[[.,[.,[.,.]]],.]]]
[1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[[.,[[.,.],.]],.]]]
[1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[[[.,[.,.]],.],.]]]
[1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[[[.,.],.],.],.]]]
[1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[[[.,.],[.,.]],.]]]
[1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[[.,.],[.,[.,.]]]]]
[1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[.,.],[[.,.],.]]]]
[1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[.,[.,.]],[.,.]]]]
[1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[.,.],.],[.,.]]]]
[1,0,1,1,0,0,1,0,1,0,1,0] => [.,[[.,[.,[.,[.,.]]]],.]]
[1,0,1,1,0,0,1,0,1,1,0,0] => [.,[[.,[.,[[.,.],.]]],.]]
[1,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,[[.,[.,.]],.]],.]]
[1,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,[[[.,.],.],.]],.]]
[1,0,1,1,0,0,1,1,1,0,0,0] => [.,[[.,[[.,.],[.,.]]],.]]
[1,0,1,1,0,1,0,0,1,0,1,0] => [.,[[[.,[.,[.,.]]],.],.]]
[1,0,1,1,0,1,0,0,1,1,0,0] => [.,[[[.,[[.,.],.]],.],.]]
[1,0,1,1,0,1,0,1,0,0,1,0] => [.,[[[[.,[.,.]],.],.],.]]
[1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[[[[.,.],.],.],.],.]]
[1,0,1,1,0,1,0,1,1,0,0,0] => [.,[[[[.,.],[.,.]],.],.]]
[1,0,1,1,0,1,1,0,0,0,1,0] => [.,[[[.,.],[.,[.,.]]],.]]
[1,0,1,1,0,1,1,0,0,1,0,0] => [.,[[[.,.],[[.,.],.]],.]]
[1,0,1,1,0,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],[.,.]],.]]
[1,0,1,1,0,1,1,1,0,0,0,0] => [.,[[[[.,.],.],[.,.]],.]]
[1,0,1,1,1,0,0,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,.]]]]]
[1,0,1,1,1,0,0,0,1,1,0,0] => [.,[[.,.],[.,[[.,.],.]]]]
[1,0,1,1,1,0,0,1,0,0,1,0] => [.,[[.,.],[[.,[.,.]],.]]]
[1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[.,.],[[[.,.],.],.]]]
[1,0,1,1,1,0,0,1,1,0,0,0] => [.,[[.,.],[[.,.],[.,.]]]]
[1,0,1,1,1,0,1,0,0,0,1,0] => [.,[[.,[.,.]],[.,[.,.]]]]
[1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[.,[.,.]],[[.,.],.]]]
[1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[.,[.,[.,.]]],[.,.]]]
[1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[.,[[.,.],.]],[.,.]]]
>>> Load all 6549 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [.,[[[.,.],.],[.,[.,.]]]]
[1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[.,.],.],[[.,.],.]]]
[1,0,1,1,1,1,0,0,1,0,0,0] => [.,[[[.,[.,.]],.],[.,.]]]
[1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,.],.],.],[.,.]]]
[1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[.,.],[.,.]],[.,.]]]
[1,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.]
[1,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,[[.,.],.]]]],.]
[1,1,0,0,1,0,1,1,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],.]
[1,1,0,0,1,0,1,1,0,1,0,0] => [[.,[.,[[[.,.],.],.]]],.]
[1,1,0,0,1,0,1,1,1,0,0,0] => [[.,[.,[[.,.],[.,.]]]],.]
[1,1,0,0,1,1,0,0,1,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,[[.,.],.]],.]],.]
[1,1,0,0,1,1,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],.]
[1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[[[[.,.],.],.],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[[[.,.],[.,.]],.]],.]
[1,1,0,0,1,1,1,0,0,0,1,0] => [[.,[[.,.],[.,[.,.]]]],.]
[1,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,.],[[.,.],.]]],.]
[1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],[.,.]]],.]
[1,1,0,0,1,1,1,1,0,0,0,0] => [[.,[[[.,.],.],[.,.]]],.]
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[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] => [[[.,[[.,.],[.,.]]],.],.]
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[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] => [[[.,.],[.,[.,[.,.]]]],.]
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[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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[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[.,.],.],[.,.]],[[[.,.],[.,[.,.]]],.]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [.,[[[[.,.],.],[[.,.],.]],[[.,.],[.,.]]]]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [.,[[[[.,.],.],[.,.]],[[[.,.],[.,.]],.]]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0] => [[[.,[.,.]],[[.,.],.]],[[.,.],[.,[.,.]]]]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0] => [[[.,[.,.]],[.,.]],[[[.,.],[.,[.,.]]],.]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[.,.],.],[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [.,[[[[.,.],.],[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [.,[[[.,[.,.]],[[.,.],.]],[[.,.],[.,.]]]]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [.,[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],.]]]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[[[[.,.],.],[.,.]],[.,[[.,.],[.,.]]]]]
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[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [.,[[[[.,.],.],[.,.]],[[[.,.],.],[.,.]]]]
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [.,[[[.,.],[[[.,.],.],.]],[[.,.],[.,.]]]]
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [.,[[[.,.],[[.,.],.]],[[[.,.],[.,.]],.]]]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [.,[[[.,.],[.,.]],[[[[.,.],[.,.]],.],.]]]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[[[[[.,.],.],[.,.]],.],[[.,.],[.,.]]]]
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[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [[[.,.],[.,[.,.]]],[[[[[.,.],.],.],.],.]]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] => [[[.,.],[.,.]],[[.,[[.,.],[.,[.,.]]]],.]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[.,[[[.,.],.],[.,.]]],[[.,.],[.,[.,.]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [.,[[[[.,.],.],[.,.]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [.,[[[.,.],[.,[[.,.],.]]],[[.,.],[.,.]]]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [.,[[[.,.],[.,.]],[[[[[.,.],.],.],.],.]]]
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [.,[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]]]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[[.,[[[.,.],.],[.,.]]],[[.,.],[.,.]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [[[[.,.],.],[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]],.]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[[[.,.],.],[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],[[.,.],[[.,.],.]]]]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [.,[[[.,.],[.,[.,.]]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [.,[[[.,.],[.,.]],[.,[.,[[.,.],[.,.]]]]]]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[.,[[[[.,.],.],[.,.]],[[.,.],[.,.]]]],.]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[[[[[.,.],.],[.,.]],[[.,.],[.,.]]],.]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [[[[.,.],.],[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0] => [[[.,[.,.]],[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [.,[[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [[[.,[.,.]],[.,.]],[[.,.],[.,[[.,.],.]]]]
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[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] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
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[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]
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[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
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[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]
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[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[[[[[.,.],.],.],.],.]],[.,[.,.]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[[[[[.,.],.],.],.],.]],[[.,.],.]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]]]
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[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [.,[[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]],.]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [.,[[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]],.]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [.,[[.,[[.,.],[.,[[.,[[.,.],.]],.]]]],.]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [.,[[.,[[.,.],[.,[[[.,.],.],[.,.]]]]],.]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [.,[[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]],.]]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [.,[[.,.],[.,[[.,[[.,[[.,.],.]],.]],.]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [.,[[.,.],[.,[[.,.],[.,[[.,.],[.,.]]]]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[[.,.],[.,[[[.,.],[.,.]],[[.,.],.]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[.,.],.],[.,[[[.,.],[.,.]],[.,.]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],[.,[[[.,.],.],[.,.]]]],[.,.]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],[[.,.],.]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [.,[[[.,.],[.,.]],[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [.,[[[.,.],[.,.]],[[.,.],[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]],.]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[.,[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]],.]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]],.]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[.,[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]],.]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]],.]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[.,[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]],.]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[.,[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[.,[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[.,[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[.,[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[.,[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,[[.,[[[.,.],.],[.,.]]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[.,[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]],.]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]],.]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]],.]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[.,[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]],.]
[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] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],[.,.]]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [[[[.,[[.,.],.]],.],[.,.]],[[.,.],[.,.]]]
[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] => [.,[[[.,[[[.,.],[.,.]],.]],[.,[.,.]]],.]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[[[.,[[[.,.],.],[.,.]]],[.,[.,.]]],.]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [.,[[[[[.,[[[.,.],.],.]],.],.],[.,.]],.]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [.,[[[[[.,[.,.]],[.,.]],.],[.,[.,.]]],.]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [.,[[[[[.,[.,.]],.],[.,.]],[.,[.,.]]],.]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[.,[.,.]],[[.,[[[.,.],.],.]],[.,.]]]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [.,[[.,[.,.]],[[[[.,[.,.]],.],.],[.,.]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [.,[[.,[[[.,.],.],.]],[[.,[.,.]],[.,.]]]]
[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] => [[[.,[[[.,[[[.,.],.],.]],[.,.]],.]],.],.]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[[.,[[[[[.,[.,.]],.],.],[.,.]],.]],.],.]
[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] => [[[.,[[[[.,[.,.]],.],.],[[.,.],.]]],.],.]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,[[[.,[.,.]],[.,.]],.]]],.]
[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] => [[[[.,[.,.]],.],.],[[.,[[[.,.],.],.]],.]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[[.,[[[.,.],[.,[.,.]]],.]],[.,[.,.]]],.]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[[.,[[[.,.],.],[.,[.,.]]]],[.,[.,.]]],.]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[[[[.,[[[.,.],.],.]],.],.],[.,[.,.]]],.]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[[[[.,[.,.]],[.,[.,.]]],.],[.,[.,.]]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [[[[[.,[.,.]],.],[.,[.,.]]],[.,[.,.]]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[.,[.,.]],[[.,[[[.,.],.],.]],[.,[.,.]]]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[.,[.,.]],[[[[.,[.,.]],.],.],[.,[.,.]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[[.,.],.],.]],[[.,[.,.]],[.,[.,.]]]]
[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] => [[[[.,[.,.]],[[.,[.,.]],.]],.],[.,[.,.]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[.,[.,.]],.],[[.,[.,.]],.]],[.,[.,.]]]
[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] => [[[[.,.],[.,.]],.],[[[[[.,.],.],.],.],.]]
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],[[.,.],[.,.]]]]
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[[.,[.,[[.,.],[.,.]]]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[[[[[.,.],[.,.]],[[.,.],[.,.]]],.],.]]
[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] => [[[.,.],[[[.,.],.],[.,.]]],[[.,.],[.,.]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [.,[[[.,.],[[[.,.],.],[.,.]]],[[.,.],.]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [.,[[[.,.],[.,.]],[[.,[[.,.],.]],[.,.]]]]
[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] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,[.,.]]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],.],[.,.]],[[[.,[.,.]],.],.]]
[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] => [[[.,[.,.]],.],[[[[[[.,.],.],.],.],.],.]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[[[[.,[.,.]],.],.],.],.],.],[[.,.],.]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[.,[.,.]],.],[[.,.],.]],[.,[.,[.,.]]]]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[.,[[[.,[.,.]],.],[.,.]]],[[.,.],[.,.]]]
[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] => [.,[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [.,[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]]
[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] => [[[.,.],.],[[[.,.],[.,.]],[[[.,.],.],.]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[[.,.],[[.,.],[.,[[.,.],.]]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[.,[[[.,[[.,.],.]],[.,[[.,.],.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[.,[[[.,.],[[.,[[.,.],.]],[.,.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[.,[[[.,[[.,.],.]],[[.,.],[.,.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[.,[[[.,[[.,[[.,.],.]],.]],[.,.]],.]],.]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[[.,.],[.,[[.,.],.]]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[.,[[[.,.],[[.,.],[.,.]]],.]]],.]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]],.]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [[[.,[[.,.],.]],[.,[[[.,.],[.,.]],.]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[[.,[[.,.],.]],[.,[[.,.],.]]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [[[.,[[.,.],.]],[[.,.],[.,[[.,.],.]]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [[[.,[[.,[[.,.],.]],.]],[.,[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [[[.,[[[.,.],[.,[[.,.],.]]],.]],[.,.]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[.,.],[[.,.],[[.,[[.,.],.]],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,.],[[.,[[.,.],.]],[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[.,.],[[.,[[.,[[.,.],.]],.]],[.,.]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[.,.],[[.,[[[.,.],[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [[[.,[[.,.],.]],[[.,.],[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],[[.,[[.,.],.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[[.,[[.,.],.]],.]],[[.,.],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [[[.,[[[.,.],[[.,.],[.,.]]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,[[.,[[.,.],.]],.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[.,[[.,[[[.,.],[.,.]],.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[.,[[[[.,.],[.,.]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[.,[[[.,.],[.,.]],.]],[.,[[.,.],.]]],.]
[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] => [[[.,.],[[.,[.,.]],[.,.]]],[[.,.],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [.,[[[[[[[[.,.],.],[.,.]],.],.],.],.],.]]
[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] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,[.,.]],.]]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [.,[[[[.,.],[.,.]],.],[[[.,.],.],[.,.]]]]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [.,[[.,[[.,.],[.,.]]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [.,[[[[.,.],[.,.]],[[.,.],[[.,.],.]]],.]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[[.,[[.,[[.,[.,.]],.]],.]],.],.],.],.]
[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] => [[[.,[[.,.],.]],[.,.]],[[.,[.,.]],[.,.]]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,.],[.,.]]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [[[[[.,[.,.]],.],[.,.]],[[.,[.,.]],.]],.]
[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] => [.,[[[[[[.,.],.],.],.],[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]]]
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[[[[[.,.],[.,.]],[.,.]],.],[[.,.],[.,.]]]]
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[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] => [.,[.,[.,[.,[[[.,.],[.,.]],[[[.,.],.],.]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [.,[.,[.,[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]
[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] => [.,[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[.,.],[[[.,.],.],.]]]
[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] => [[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]],.]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]]
[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] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],[.,[.,[.,.]]]]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,[.,[.,[.,.]]]]]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[.,[.,[[.,.],[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[.,[[.,.],[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0] => [[[[.,.],[.,.]],[[.,.],.]],[[[.,.],.],[.,.]]]
[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] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]]
[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] => [.,[[[.,[[[.,.],[.,.]],.]],[.,[[[.,.],.],.]]],.]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [.,[[[.,[[[.,.],[.,.]],.]],[[[.,[.,.]],.],.]],.]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [.,[[[.,[[[.,.],[.,.]],[.,[.,.]]]],[.,[.,.]]],.]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [.,[[[.,[[[.,.],.],[.,.]]],[.,[[[.,.],.],.]]],.]]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [.,[[[.,[[[.,.],.],[.,.]]],[[[.,[.,.]],.],.]],.]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[[[[.,[[[.,.],[.,.]],.]],.],.],[.,[.,.]]],.]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[[[[[.,[[[.,.],.],[.,.]]],.],.],[.,[.,.]]],.]]
[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] => [.,[[[[[.,[[[.,.],.],.]],.],[.,.]],[.,[.,.]]],.]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [.,[[[[[.,[.,.]],[.,.]],.],[.,[[[.,.],.],.]]],.]]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [.,[[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],.],.]],.]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [.,[[[[[.,[.,.]],[.,.]],[.,[.,.]]],[.,[.,.]]],.]]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [.,[[[[[.,[.,.]],.],[.,.]],[.,[[[.,.],.],.]]],.]]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [.,[[[[[.,[.,.]],.],[.,.]],[[[.,[.,.]],.],.]],.]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[.,[.,.]],[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[[.,[.,.]],[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [.,[[.,[.,.]],[[[[.,[[[.,.],.],.]],.],.],[.,.]]]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [.,[[.,[.,.]],[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]]]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [.,[[.,[.,.]],[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[.,[[[.,.],.],.]],[[.,[[[.,.],.],.]],[.,.]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [.,[[.,[[[.,.],.],.]],[[[[.,[.,.]],.],.],[.,.]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],[[.,[[[.,.],.],.]],[.,.]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [.,[[[[.,[.,.]],.],.],[[[[.,[.,.]],.],.],[.,.]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [.,[[.,[[[.,.],[[.,[.,.]],[.,.]]],.]],[.,[.,.]]]]
[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] => [[[.,[[[.,[[[.,.],[.,.]],.]],[.,[.,.]]],.]],.],.]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [[[.,[[[.,[[[.,.],.],[.,.]]],[.,[.,.]]],.]],.],.]
[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] => [[[.,[[[[.,[.,.]],.],[[.,.],.]],[.,[.,.]]]],.],.]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,.]],[.,[[[.,[[[.,.],.],.]],[.,.]],.]]],.]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[[.,[.,.]],[.,[[[[[.,[.,.]],.],.],[.,.]],.]]],.]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]],.]
[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] => [[.,[.,.]],[[.,[[[.,[[[.,.],.],.]],[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[.,[.,.]],[[.,[[[[[.,[.,.]],.],.],[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,[[[.,.],.],.]],[[.,.],.]]],.]]
[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] => [[[[.,[.,.]],.],[[.,[[[.,.],.],.]],.]],[.,[.,.]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [[[.,[[[.,.],[.,[.,.]]],.]],[.,[[[.,.],.],.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [[[.,[[[.,.],[.,[.,.]]],.]],[[[.,[.,.]],.],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [[[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]],[.,[.,.]]],.]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [[[.,[[[.,.],.],[.,[.,.]]]],[.,[[[.,.],.],.]]],.]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [[[.,[[[.,.],.],[.,[.,.]]]],[[[.,[.,.]],.],.]],.]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[[[[.,[[[.,.],[.,[.,.]]],.]],.],.],[.,[.,.]]],.]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[[[[.,[[[.,.],.],[.,[.,.]]]],.],.],[.,[.,.]]],.]
[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] => [[[[[.,[[[.,.],.],.]],.],[.,[.,.]]],[.,[.,.]]],.]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [[[[[.,[.,.]],[.,[.,.]]],.],[.,[[[.,.],.],.]]],.]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [[[[[.,[.,.]],[.,[.,.]]],.],[[[.,[.,.]],.],.]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]],[.,[.,.]]],.]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [[[[[.,[.,.]],.],[.,[.,.]]],[.,[[[.,.],.],.]]],.]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [[[[[.,[.,.]],.],[.,[.,.]]],[[[.,[.,.]],.],.]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[.,[.,.]],[[.,[[[.,.],[.,[.,.]]],.]],[.,[.,.]]]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[.,[.,.]],[[.,[[[.,.],.],[.,[.,.]]]],[.,[.,.]]]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[.,[.,.]],[[[[.,[[[.,.],.],.]],.],.],[.,[.,.]]]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[.,[.,.]],[[[[.,[.,.]],[.,[.,.]]],.],[.,[.,.]]]]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [[.,[.,.]],[[[[.,[.,.]],.],[.,[.,.]]],[.,[.,.]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[.,[[[.,.],.],.]],[[.,[[[.,.],.],.]],[.,[.,.]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[.,[[[.,.],.],.]],[[[[.,[.,.]],.],.],[.,[.,.]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[[.,[.,.]],.],.],[[.,[[[.,.],.],.]],[.,[.,.]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[[.,[.,.]],.],.],[[[[.,[.,.]],.],.],[.,[.,.]]]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]],[.,[.,.]]]
[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] => [[[[.,[.,.]],.],[[.,[.,.]],.]],[.,[[[.,.],.],.]]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[.,[.,.]],.],[[.,[.,.]],.]],[[[.,[.,.]],.],.]]
[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] => [.,[[[.,[[.,.],.]],[[[.,[[.,.],.]],[.,.]],.]],.]]
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[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [.,[[[.,[[[.,[.,[[.,.],.]]],[.,.]],.]],[.,.]],.]]
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[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] => [.,[[[[.,[.,.]],.],[[.,[.,.]],.]],[[.,[.,.]],.]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,[.,.]]],[.,.]]]
[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] => [[[[.,.],.],[[.,.],.]],[.,[.,[[.,[[.,.],.]],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,[[.,[[[.,.],[.,[[.,.],.]]],.]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[.,[[.,[[.,[[[.,.],[[.,.],[.,.]]],.]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,[[[.,.],[.,[[.,[[.,.],.]],.]]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,[[[.,.],[[.,.],[.,[[.,.],.]]]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[.,[[.,[[[.,[[.,.],.]],[.,[[.,.],.]]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,[[[.,.],[[.,[[.,.],.]],[.,.]]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[.,[[.,[[[.,[[.,.],.]],[[.,.],[.,.]]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[.,[[.,[[[.,[[.,[[.,.],.]],.]],[.,.]],.]],.]],.]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[.,[[.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[.,[[[.,.],[.,[[.,[[.,[[.,.],.]],.]],.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[[.,.],[.,[[[.,.],[.,[[.,.],.]]],.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[.,[[[.,.],[.,[[[.,.],[[.,.],[.,.]]],.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[[[.,.],[.,[[[.,[[.,.],.]],[.,.]],.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[.,[[[.,.],[[.,.],[.,[[.,[[.,.],.]],.]]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[[[.,.],[[.,.],[.,[[[.,.],[.,.]],.]]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[.,[[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [[.,[[[.,[[.,.],.]],[.,[[[.,.],[.,.]],.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[[.,.],[[.,.],[[.,.],[.,[[.,.],.]]]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[.,[[[.,.],[[.,[[.,.],.]],[.,[[.,.],.]]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[[.,[[.,.],.]],[[.,.],[.,[[.,.],.]]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [[.,[[[.,[[.,[[.,.],.]],.]],[.,[[.,.],.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [[.,[[[.,[[[.,.],[.,[[.,.],.]]],.]],[.,.]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[.,[[[.,.],[[.,.],[[.,[[.,.],.]],[.,.]]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[.,[[[.,.],[[.,[[.,.],.]],[[.,.],[.,.]]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[.,[[[.,.],[[.,[[.,[[.,.],.]],.]],[.,.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[.,[[[.,.],[[.,[[[.,.],[.,.]],.]],[.,.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [[.,[[[.,[[.,.],.]],[[.,.],[[.,.],[.,.]]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[.,[[[.,[[.,.],.]],[[.,[[.,.],.]],[.,.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[.,[[[.,[[.,[[.,.],.]],.]],[[.,.],[.,.]]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [[.,[[[.,[[[.,.],[[.,.],[.,.]]],.]],[.,.]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[.,[[[.,[[.,[[.,[[.,.],.]],.]],.]],[.,.]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[.,[[[.,[[.,[[[.,.],[.,.]],.]],.]],[.,.]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[.,[[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,.]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[.,[[[.,[[[[.,.],[.,.]],[.,.]],.]],[.,.]],.]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[.,[[[.,[[[.,.],[.,.]],.]],[.,[[.,.],.]]],.]],.]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,[[[.,.],[.,[[.,.],.]]],.]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[.,[[.,[[[.,.],[[.,.],[.,.]]],.]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[[.,.],[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,[[[.,.],[.,[[.,[[.,.],.]],.]]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[[.,.],[[.,.],[.,[[.,.],.]]]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[.,[[[.,[[.,.],.]],[.,[[.,.],.]]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[.,.],[.,[[[.,.],[[.,[[.,.],.]],[.,.]]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,.],[.,[[[.,[[.,.],.]],[[.,.],[.,.]]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[.,.],[.,[[[.,[[.,[[.,.],.]],.]],[.,.]],.]]],.]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[.,.],[.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]]],.]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,[[.,[[.,[[.,.],.]],.]],.]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,[[[.,.],[.,[[.,.],.]]],.]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[.,[[[.,.],[[.,.],[.,.]]],.]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[[.,.],[[.,.],[.,[[[.,[[.,.],.]],[.,.]],.]]]],.]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[.,[[.,[[.,[[.,.],.]],.]],.]]],.]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[.,[[.,.],.]],[.,[[.,[[[.,.],[.,.]],.]],.]]],.]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[.,[[.,.],.]],[.,[[[.,.],[.,[[.,.],.]]],.]]],.]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,[[.,.],.]],[.,[[[.,.],[[.,.],[.,.]]],.]]],.]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],[.,[[[.,[[.,.],.]],[.,.]],.]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[[.,.],[[.,.],[.,[[.,[[.,.],.]],.]]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[[.,.],[[.,.],[.,[[[.,.],[.,.]],.]]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[[.,[[.,.],.]],[.,[[.,[[.,.],.]],.]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[[.,[[.,.],.]],[.,[[[.,.],[.,.]],.]]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[[.,.],[.,[[.,[[.,.],.]],.]]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[.,[[.,.],.]],[[.,.],[.,[[[.,.],[.,.]],.]]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,[[.,.],.]],.]],[.,[[.,[[.,.],.]],.]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [[[.,[[.,[[.,.],.]],.]],[.,[[[.,.],[.,.]],.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[[[.,.],[.,[[.,[[.,.],.]],.]]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0] => [[[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]],[.,.]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[.,.],[[.,.],[[.,.],[.,[[.,.],.]]]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[[.,.],[[.,[[.,.],.]],[.,[[.,.],.]]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[.,[[.,.],.]],[[.,.],[.,[[.,.],.]]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[[.,[[.,[[.,.],.]],.]],[.,[[.,.],.]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [[[.,.],[[.,[[[.,.],[.,[[.,.],.]]],.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[.,[[.,.],.]],[[.,.],[[.,.],[.,[[.,.],.]]]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[.,[[.,.],.]],[[.,[[.,.],.]],[.,[[.,.],.]]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [[[.,[[.,[[.,.],.]],.]],[[.,.],[.,[[.,.],.]]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0] => [[[.,[[[.,.],[[.,.],[.,[[.,.],.]]]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [[[.,[[.,[[.,[[.,.],.]],.]],.]],[.,[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [[[.,[[.,[[[.,.],[.,[[.,.],.]]],.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [[[.,[[[.,[[.,.],.]],[.,[[.,.],.]]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0] => [[[.,[[[[.,.],[.,[[.,.],.]]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [[[.,[[[.,.],[.,[[.,.],.]]],.]],[.,[[.,.],.]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],[.,.]]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],[.,.]]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[.,.],[[.,.],[[.,[[[.,.],[.,.]],.]],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[.,.]]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [[[.,.],[[.,[[[.,.],[[.,.],[.,.]]],.]],[.,.]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],[.,.]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[.,.],[[.,[[.,[[[.,.],[.,.]],.]],.]],[.,.]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[.,.],[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[.,.],[[.,[[[[.,.],[.,.]],[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[.,.],[[.,[[[.,.],[.,.]],.]],[.,[[.,.],.]]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],[.,.]]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[.,[[.,.],.]],[[.,[[[.,.],[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],[.,.]]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0] => [[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0] => [[[.,[[[.,.],[[.,[[.,.],.]],[.,.]]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [[[.,[[.,[[[.,.],[[.,.],[.,.]]],.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[[[.,[[.,.],.]],[[.,.],[.,.]]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0] => [[[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0] => [[[.,[[[.,.],[[.,.],[.,.]]],.]],[.,[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[.,[[.,[[[.,[[.,.],.]],[.,.]],.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[.,[[.,[[[[.,.],[.,.]],[.,.]],.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[.,[[.,[[[.,.],[.,.]],.]],.]],[.,[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [[[.,[[[.,[[.,[[.,.],.]],.]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [[[.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [[[.,[[[[.,[[.,.],.]],[.,.]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [[[.,[[[.,[[.,.],.]],[.,.]],.]],[.,[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [[[.,[[[[.,.],[.,.]],[.,[[.,.],.]]],.]],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [[[.,[[[[.,.],[.,.]],[.,.]],.]],[.,[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [[[.,[[[.,.],[.,.]],.]],[.,[[.,[[.,.],.]],.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [[[.,[[[.,.],[.,.]],.]],[.,[[[.,.],[.,.]],.]]],.]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.],.]
[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] => [[[.,[.,.]],[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]],.]
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[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] => [.,[.,[[.,[[[.,[[.,.],.]],[.,[.,.]]],.]],[.,.]]]]
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[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] => [.,[.,[[.,[[.,[.,.]],.]],[.,[[.,.],[.,[.,.]]]]]]]
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[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0] => [.,[.,[[[[.,.],[[.,[[.,[.,.]],.]],.]],[.,.]],.]]]
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[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
Francon's map from Dyck paths to binary trees.
This bijection sends the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path., to the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree.. The implementation is a literal translation of Knuth's [2].
References
[1] Françon, J. Sur le nombre de registres nécessaires à l'évaluation d'une expression arithmétique MathSciNet:0775838
[2] http://www-cs-faculty.stanford.edu/~knuth/programs/francon.w
Properties
bijective, graded
Sage code
def mapping(D):
    def LR_to_binary_tree(links, root=0):
        if links[root][0] != 0:
            left = LR_to_binary_tree(links, root=links[root][0])
        else:
            left = None

        if links[root][1] != 0:
            right = LR_to_binary_tree(links, root=links[root][1])
        else:
            right = None
        return BinaryTree([left, right])


    n = D.semilength()
    d = list(D) + [0]
    l = [0]*(n)
    r = [0]*(n)
    h = [0]*(2*n+3)
    q = [0]*(n+1)
    qm = [0]*(n+1)
    h[1] = m = 1; k = 2; p = 0
    while True:
        while h[k] != 0:
            k = k + 2
        kk = h[k//2]
        p += 1
        if d[p] == 1:
            l[kk-1] = m; m += 1; h[k] = m;
        else:
            l[kk-1] = 0
        p += 1
        if d[p] == 1:
            r[kk-1] = m; m += 1; h[k+1] = m;
        else:
            r[kk-1] = 0
        if h[k] != 0:
            if h[k+1] != 0:
                continue
            else:
                kk = k
        elif h[k+1] != 0:
            kk = k+1
        else:
            h[k//2] = 0; kk = (k//2) ^^ 1; k = kk & -2
            if k == 0:
                return LR_to_binary_tree(list(zip(l, r)))
        j = 0; jj = 1; q[0] = kk; qm[0] = 1
        while j < jj:
            kk = q[j]
            h[((kk//2)&(-qm[j]))+(kk&(qm[j]-1))] = h[kk]
            if h[2*kk] != 0:
                q[jj] = 2*kk
                q[jj+1] = 2*kk+1
                qm[jj] = qm[jj+1] = qm[j]*2
                jj = jj + 2
            else:
                h[kk] = 0
            j += 1
Weight
26
Created
Jan 31, 2020 at 19:19 by FindStatCrew
Updated
Jan 31, 2020 at 19:19 by Martin Rubey