Identifier
Images
=>
Cc0005;cc-rep-0Cc0010;cc-rep-1
[]=>.
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[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[[[[.,[[.,[.,[.,[.,.]]]],.]],.],.],.],.]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[.,.],[[.,.],[[.,.],[[[[.,.],.],.],.]]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[.,.],[[.,.],[[[[.,.],.],.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[.,.],[[.,.],[[[[[[.,.],.],.],.],.],.]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[.,.],[[[[.,.],.],.],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[[.,.],[[[[.,.],.],.],[[[[.,.],.],.],.]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[[.,.],[[[[[[.,.],.],.],.],.],[[.,.],.]]]
[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]=>[[[[.,.],.],.],[[.,.],[[[[.,.],.],.],.]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[[[.,.],.],.],[[[[.,.],.],.],[[.,.],.]]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[[[[[[.,.],.],.],.],.],[[.,.],[[.,.],.]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],.]]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],.]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]
[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]=>[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],.]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],.]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],.]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],.]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]]
[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]=>[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],.]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],.]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],.]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],.]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],.]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],.]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[.,.],[.,[[[[.,.],.],.],[.,[[.,.],.]]]]]
[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]=>[[[.,.],.],[.,[[.,[[[.,.],.],[.,.]]],.]]]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[.,[[.,.],[.,[[[.,.],.],.]]]],[[.,.],.]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[[[.,.],[.,[.,.]]],[[[[.,.],.],[.,.]],.]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[[[.,[.,.]],.],[.,[[[[.,.],.],[.,.]],.]]]
[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]=>[[.,[.,.]],[[[[.,.],[.,[[.,.],.]]],.],.]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[[[[[.,.],.],[.,[[.,.],[.,.]]]],.],[.,.]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[[.,.],[.,[[[.,.],.],[.,[[.,.],.]]]]],.]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[[[[.,.],[.,.]],[[[.,.],.],[.,[.,.]]]],.]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]=>[[[[.,[[.,.],.]],[[.,.],[.,.]]],.],[.,.]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[[.,.],[.,[[.,[[.,.],.]],[[.,.],.]]]],.]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[[[.,.],[.,[.,.]]],[[[.,.],.],[.,.]]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[[.,[.,.]],[[.,[[.,.],.]],[[.,.],.]]],.]
[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]=>[[.,[.,.]],[[[[.,[.,.]],[[.,.],.]],.],.]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[[[[[.,.],.],[.,[[.,[.,.]],.]]],.],[.,.]]
[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]=>[[[.,[[.,[.,.]],.]],[[[.,.],.],[.,.]]],.]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0]=>[[[[.,[[.,.],[.,.]]],[[.,.],.]],.],[.,.]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[[[.,.],.],[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[[[.,[[.,.],[.,[[.,.],.]]]],[[.,.],.]],.]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[[[[.,.],[.,[.,.]]],[[[.,.],[.,.]],.]],.]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[[[[[.,.],[.,.]],[[.,[.,.]],.]],.],[.,.]]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[[[.,[.,.]],.],[.,[[[.,.],[.,.]],.]]],.]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[[.,[[.,[.,.]],[[.,.],.]]],[[.,.],.]],.]
[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]=>[[[[.,[.,.]],[[.,.],.]],[[.,[.,.]],.]],.]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[.,[.,[[[.,.],.],[[[[[.,.],.],.],.],.]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[.,[[.,.],[[[.,.],.],[[[[.,.],.],.],.]]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[.,[.,[[[[.,.],.],.],[[[[.,.],.],.],.]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[.,[[.,.],[[[[.,.],.],.],[[[.,.],.],.]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[.,[.,[[[[[.,.],.],.],.],[[[.,.],.],.]]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[.,[[[.,.],.],[[.,.],[[[[.,.],.],.],.]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[.,[[[.,.],.],[[[.,.],.],[[[.,.],.],.]]]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[.,[[.,.],[[[[[.,.],.],.],.],[[.,.],.]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[.,[[[.,.],.],[[[[.,.],.],.],[[.,.],.]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[.,[[.,.],[.,[[.,.],[[[[.,.],.],.],.]]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[.,[[.,.],[.,[[[.,.],.],[[[.,.],.],.]]]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[.,[[.,.],[.,[[[[.,.],.],.],[[.,.],.]]]]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[[.,.],[[[.,.],.],[[.,.],[[[.,.],.],.]]]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[[.,.],[[[.,.],.],[[[.,.],.],[[.,.],.]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[.,[[.,.],[[[[.,.],.],.],[.,[[.,.],.]]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[.,[[[.,.],.],[[[[[.,.],.],.],.],[.,.]]]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[.,.],[[[.,.],.],[[[[.,.],.],.],[.,.]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[.,[[[.,.],.],[[[.,.],.],[.,[[.,.],.]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[.,[[[[.,.],.],.],[[[[.,.],.],.],[.,.]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[[.,.],[[[[.,.],.],.],[[[.,.],.],[.,.]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[.,[[[[[.,.],.],.],.],[[[.,.],.],[.,.]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[[.,.],.],[[.,.],[[.,.],[[[.,.],.],.]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[[.,.],.],[[.,.],[[[.,.],.],[[.,.],.]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[[.,.],.],[[.,.],[[[[.,.],.],.],[.,.]]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[[.,.],.],[[[.,.],.],[[[.,.],.],[.,.]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[.,[[[[.,.],.],.],[[.,.],[.,[[.,.],.]]]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[[.,.],[[[[[.,.],.],.],.],[[.,.],[.,.]]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[[.,.],.],[[[[.,.],.],.],[[.,.],[.,.]]]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]
[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]=>[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]
[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]=>[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[.,[.,[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[.,[.,[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[.,[.,[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[.,[.,[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[.,[.,[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]]
[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]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[.,[.,[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[.,[.,[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[.,[.,[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[.,[[.,[.,.]],[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[.,[[.,[[.,[.,.]],.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[.,[[[.,[.,.]],[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[.,[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[.,[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]
[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]=>[[.,[.,.]],[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[.,[[.,[.,.]],.]],[[.,.],[[.,[.,.]],.]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[.,[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]],.]
[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]=>[[.,[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[[.,[.,.]],[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[[.,[.,.]],[[.,[[.,[.,.]],.]],[.,.]]],.]
[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]=>[[[.,[[.,[.,.]],.]],[[.,[.,.]],[.,.]]],.]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[[[.,[[.,[[.,[.,.]],.]],.]],[.,[.,.]]],.]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[[[.,[[[.,[.,.]],[.,.]],.]],[.,[.,.]]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[[[[.,[.,.]],[.,.]],[[.,[.,.]],[.,.]]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[[[[.,[.,.]],[[.,[.,.]],.]],[.,[.,.]]],.]
[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]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]],.]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[[[[[.,.],[[.,.],[.,.]]],[.,[.,.]]],.],.]
[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]=>[[[[.,.],[.,[[[.,.],[.,.]],.]]],[.,.]],.]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[[[[[.,.],[.,[.,.]]],[[.,.],[.,.]]],.],.]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[[[.,.],[[.,[.,.]],[[.,[.,.]],.]]],.],.]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[[[.,.],[[.,[[[.,[.,.]],.],.]],[.,.]]],.]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[[.,.],[[[.,[.,[[.,.],.]]],[.,.]],.]],.]
[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]=>[[[.,[.,.]],[[[.,.],.],[[.,[.,.]],.]]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[[[.,[.,.]],[.,.]],[[[.,.],.],[.,.]]],.]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],.]],.]
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[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]=>[[[[.,[.,.]],[[.,[.,.]],[[.,.],.]]],.],.]
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[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[.,[[[.,[.,.]],[[[.,[.,.]],.],.]],[.,.]]]
[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]=>[[[[[.,[.,.]],[[.,.],.]],[.,.]],[.,.]],.]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[.,[.,.]],[.,[[[[.,[.,.]],.],[.,.]],.]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[[.,[.,.]],[.,[[[.,.],[[.,[.,.]],.]],.]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],[.,.]]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[.,[.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[.,[[.,[.,.]],[[[[.,[.,.]],.],[.,.]],.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[.,[[.,[.,.]],[[[.,.],[[.,[.,.]],.]],.]]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[[[[.,[.,.]],[[[.,.],[.,.]],.]],[.,.]],.]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[.,[.,[[.,[[[[.,.],[.,.]],[.,.]],.]],.]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],.]],.]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[.,[[.,[[[.,[.,[[.,.],[.,.]]]],.],.]],.]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[.,[[[.,[.,[[.,.],[[.,[.,.]],.]]]],.],.]]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[.,[[[.,[[.,[.,[[.,.],.]]],[.,.]]],.],.]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[.,[[[[.,[.,[.,.]]],[[.,.],[.,.]]],.],.]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[.,[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]],.]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[[.,[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]],.]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[[.,[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]],.]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[[.,[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]],.]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[[.,[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]],.]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[[[.,[.,[.,.]]],[[.,.],[[.,[.,.]],.]]],.]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[[[.,[.,[[.,.],[.,[[.,.],.]]]]],[.,.]],.]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[[[.,[[.,[.,[.,.]]],.]],[[.,.],[.,.]]],.]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[[.,[.,[.,.]]],[.,.]],[[.,.],[.,.]]],.]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[.,[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],.]]]
[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[.,[[.,.],[[[.,[.,[[.,.],[.,.]]]],.],.]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[.,[[[.,.],[.,[[.,.],[[.,[.,.]],.]]]],.]]
[1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[.,[[[.,.],[[.,[.,[[.,.],.]]],[.,.]]],.]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[.,[[[[.,.],[.,[.,.]]],[[.,.],[.,.]]],.]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[.,[[.,[[.,.],.]],[[.,[[.,[.,.]],.]],.]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[.,[[.,[[.,[[.,.],.]],.]],[[.,[.,.]],.]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],[.,.]]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[.,[[.,[[[.,[.,.]],[[.,.],.]],.]],[.,.]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[.,[[[.,[.,.]],[[.,[[.,.],.]],.]],[.,.]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[.,[[[.,[[.,[.,.]],.]],[[.,.],.]],[.,.]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[.,[[[[.,[.,.]],[.,.]],[[.,.],.]],[.,.]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[.,[.,.]],[[.,.],[[.,[[.,[.,.]],.]],.]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[.,[.,.]],[[[.,.],[.,[[.,.],[.,.]]]],.]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[.,[.,.]],[[.,[[.,[[.,.],.]],.]],[.,.]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[[.,[.,.]],[[[.,[.,.]],[[.,.],.]],[.,.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[[.,[[.,[.,.]],.]],[[.,[[.,.],.]],[.,.]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[[.,[[.,[[.,[.,.]],.]],.]],[[.,.],[.,.]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[[.,[[[.,[.,.]],[.,.]],.]],[[.,.],[.,.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[[.,[.,.]],[.,.]],[[.,[[.,.],.]],[.,.]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[[.,[.,.]],[[.,[.,.]],.]],[[.,.],[.,.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[[[.,[[.,[.,.]],.]],[.,.]],[[.,.],[.,.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]
[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]=>[[.,[[.,[.,.]],.]],[.,[[[.,.],[.,.]],.]]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[.,[.,[[[.,[[.,.],[[.,.],.]]],.],[.,.]]]]
[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]=>[.,[[.,[.,.]],[[.,.],[[[.,.],.],[.,.]]]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[[.,[.,.]],[.,.]],[.,[[[.,.],[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[.,[.,.]],[[.,[.,.]],[[[.,.],.],[.,.]]]]
[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]=>[.,[.,[[[[.,.],.],[.,.]],[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[.,.],[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[.,.],[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[.,.],[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[.,.],[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[.,.],[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[.,.],[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[.,.],[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[.,.],[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[.,.],[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[[.,.],[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[[.,.],[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[[.,[.,.]],.],[.,[[.,[[.,[.,.]],.]],.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[[.,[.,.]],.],[.,[[[.,[.,.]],[.,.]],.]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[[[.,[.,.]],.],[[.,[.,.]],[[.,[.,.]],.]]]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[[[.,[.,.]],.],[[.,[[.,[.,.]],.]],[.,.]]]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],[.,.]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[[[.,[[.,[.,.]],.]],.],[.,[[.,[.,.]],.]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],[.,.]]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],[.,[.,.]]]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.],.]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],[.,[.,.]]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.],.]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.],.]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.],.]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[[[[.,[.,.]],[.,.]],.],[.,[[.,[.,.]],.]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],[.,.]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],[.,[.,.]]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.],.]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.],.]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],[.,[.,.]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.],.]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.],.]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.],.]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],[.,[.,.]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.],.]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.],.]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.],.]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.],.]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[.,[.,[[[.,[[.,[[.,[.,.]],.]],.]],.],.]]]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[.,[.,[[[.,[[[.,[.,.]],[.,.]],.]],.],.]]]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[.,[.,[[[[.,[.,.]],[[.,[.,.]],.]],.],.]]]
[1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[.,[.,[[[[.,[[.,[.,.]],.]],[.,.]],.],.]]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[.,[.,[[[[[.,[.,.]],[.,.]],[.,.]],.],.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[.,[[.,[.,.]],[[[.,[[.,[.,.]],.]],.],.]]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[.,[[.,[.,.]],[[[[.,[.,.]],[.,.]],.],.]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[.,[[.,[[.,[.,.]],.]],[[[.,[.,.]],.],.]]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],[[.,.],.]]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],[[.,.],.]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[.,[[[.,[.,.]],[.,.]],[[[.,[.,.]],.],.]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],[[.,.],.]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],[[.,.],.]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],.]]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[.,[.,.]],[.,[[[.,[[.,[.,.]],.]],.],.]]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[.,[.,.]],[.,[[[[.,[.,.]],[.,.]],.],.]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[.,[.,.]],[[.,[.,.]],[[[.,[.,.]],.],.]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],[[.,.],.]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[[.,[[.,[.,.]],.]],[.,[[[.,[.,.]],.],.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],[[.,.],.]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,[[.,.],.]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,[[.,.],.]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[[.,[.,.]],[.,.]],[.,[[[.,[.,.]],.],.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,[[.,.],.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[[.,.],.]]]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[[[.,.],[[.,.],[[.,[[.,.],.]],[.,.]]]],.]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[[[.,.],[[.,[[.,.],.]],[[.,.],[.,.]]]],.]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],[[.,.],.]]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[[[.,.],[[.,[[[[.,.],.],.],.]],[.,.]]],.]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[[[.,.],[[.,[[.,.],[[.,.],.]]],[.,.]]],.]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[[[.,.],[.,.]],[[[.,[[.,.],.]],[.,.]],.]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[.,[[.,.],.]],[[.,.],[[.,.],[.,.]]]],.]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],[[.,.],.]]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[[[.,[[.,.],.]],[[.,[[.,.],.]],[.,.]]],.]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[.,[[.,.],.]],[.,.]],[[[.,.],[.,.]],.]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[.,[[.,.],.]],[.,.]],[[.,.],[[.,.],.]]]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[[[.,[[[[[.,.],[.,.]],.],.],.]],[.,.]],.]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[[[.,[[[[.,.],[[.,.],.]],.],.]],[.,.]],.]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[[[.,[[[[.,.],.],.],.]],[[.,.],[.,.]]],.]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[[[.,[[[[.,.],.],.],.]],[.,.]],[[.,.],.]]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[[.,.],[[[.,.],[[.,[[.,.],.]],[.,.]]],.]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[[[.,[[.,.],[[.,.],.]]],[[.,.],[.,.]]],.]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],[[.,.],.]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[[[.,[[[[.,.],.],.],[[.,.],.]]],[.,.]],.]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[[.,.],[[[.,[[.,.],.]],[[.,.],[.,.]]],.]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[[.,.],[[[.,[[.,.],.]],[.,.]],[[.,.],.]]]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[[[.,[[.,.],[[[[.,.],.],.],.]]],[.,.]],.]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[[.,.],[[[.,[[[[.,.],.],.],.]],[.,.]],.]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[[[.,[[.,.],[[.,.],[[.,.],.]]]],[.,.]],.]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[[.,.],[[[.,[[.,.],[[.,.],.]]],[.,.]],.]]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[[.,.],[[.,.],[[[.,[[.,.],.]],[.,.]],.]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[.,[[.,.],[[.,.],[[.,[[.,[.,.]],.]],.]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[.,[[.,.],[[.,[[.,[.,.]],[.,.]]],[.,.]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[.,[[.,.],[[.,[[.,[[.,.],[.,.]]],.]],.]]]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[.,[[.,.],[[.,[[[[.,.],.],[.,.]],.]],.]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[.,[[.,[[.,[.,.]],[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[.,[[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]],.]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[.,[[.,[[.,[[.,.],[.,.]]],[.,.]]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[.,[[.,[[.,[[.,.],[[.,.],[.,.]]]],.]],.]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[.,[[.,[[.,[[.,[[.,.],.]],[.,.]]],.]],.]]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[.,[[.,[[[[[.,.],[.,.]],.],[.,.]],.]],.]]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[.,[[.,[[[[.,.],.],[.,.]],[.,.]]],[.,.]]]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[.,[[.,[[[[.,.],.],[[.,.],[.,.]]],.]],.]]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[.,[[.,[[[[.,.],[[.,.],.]],[.,.]],.]],.]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]],[.,.]]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[[.,[.,.]],[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[[.,[.,.]],[.,[[[[.,.],.],[.,.]],.]]],.]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[[[.,[[.,.],[.,.]]],[.,[[.,[.,.]],.]]],.]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],.],.]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[[[.,[[.,.],[[.,[[.,.],.]],[.,.]]]],.],.]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[[[.,[[.,[[[.,.],[.,.]],.]],[.,.]]],.],.]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[[[.,[[.,[[.,.],.]],[.,.]]],[.,.]],[.,.]]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[[[.,[[.,[[.,.],.]],[[.,.],[.,.]]]],.],.]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[[[.,[[.,[[.,.],[[.,.],.]]],[.,.]]],.],.]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[[[[[[.,.],[[.,.],[.,.]]],.],[.,.]],.],.]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[[[[[[.,[[.,[.,.]],.]],.],.],[.,.]],.],.]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[[[[[[.,.],[.,.]],.],[.,.]],[.,.]],[.,.]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[[[.,.],.],[.,.]],[.,.]],[[.,.],[.,.]]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[[[[[.,.],.],[.,.]],[.,[[.,[.,.]],.]]],.]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[[[[[[.,.],[.,.]],.],[[.,.],[.,.]]],.],.]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[[[[[.,.],.],[[.,.],[.,.]]],[.,.]],[.,.]]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[[[[[.,.],.],[[.,.],[[.,.],[.,.]]]],.],.]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[[[[[.,.],.],[[.,[[.,.],.]],[.,.]]],.],.]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[[[[[[.,.],[.,.]],[[.,.],.]],[.,.]],.],.]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[[[[[.,.],[[[.,.],[.,.]],.]],[.,.]],.],.]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[[[[[.,.],[[.,.],.]],[.,.]],[.,.]],[.,.]]
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[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[[[[[.,.],[[.,.],[[.,.],.]]],[.,.]],.],.]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[.,[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.]
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[1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]]
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[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[[[[.,[[.,.],.]],[.,.]],[.,[[.,.],.]]],.]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[[.,[[.,.],[[.,.],.]]],[.,[[.,.],.]]],.]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[[[.,[[.,.],.]],[.,[[.,.],[[.,.],.]]]],.]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[[.,.],[[[[.,[[.,.],.]],[.,.]],[.,.]],.]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[.,.],[[[.,[[.,.],.]],[.,[[.,.],.]]],.]]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[[[.,.],[[[.,[[.,.],.]],[.,.]],.]],[.,.]]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[[[.,.],[[.,[[.,.],[[.,.],.]]],.]],[.,.]]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[[[[.,.],[[.,[[.,.],.]],.]],[.,.]],[.,.]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[[[[.,.],[[.,.],[[.,.],.]]],[.,.]],[.,.]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[[[.,.],[[.,[[.,.],.]],[[.,.],.]]],[.,.]]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[[.,[[.,.],[[[.,[[.,.],.]],.],.]]],[.,.]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[[[[.,.],[[.,.],.]],[.,[[.,.],.]]],[.,.]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],[.,.]]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[.,[[.,.],[[[[.,[[.,.],.]],[.,.]],.],.]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[.,[[.,.],[[[.,[[.,.],[[.,.],.]]],.],.]]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[[[.,.],[[.,[[.,.],.]],.]],[.,[[.,.],.]]]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[[.,[[.,.],.]],[.,[[[.,[[.,.],.]],.],.]]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[[[[.,.],[[.,.],.]],[.,.]],[.,[[.,.],.]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[[[.,.],[[.,.],[[.,.],.]]],[.,[[.,.],.]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[.,[[.,.],[[.,.],[[[.,[[.,.],.]],.],.]]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[.,[[.,.],[[[.,[[.,.],.]],.],[[.,.],.]]]]
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[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[.,[[.,.],[[.,.],[[.,.],[[[.,.],.],.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[.,[[.,.],[[.,.],[[[[[.,.],.],.],.],.]]]]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[.,[[.,.],[[[[.,.],[[[.,.],.],.]],.],.]]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[.,[[.,.],[[[[[.,.],[[.,.],.]],.],.],.]]]
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[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[[.,[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]],.]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]],.]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[[[[[[[[.,[[.,.],.]],.],.],.],.],.],[.,.]],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]=>[.,[[[[[[[.,[.,.]],.],.],.],.],.],[.,[.,.]]]]
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[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[[.,[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]],.]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],[.,.]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],[.,.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]
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[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]
[1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[[.,[.,[[[[[[.,[.,.]],.],.],.],.],[.,.]]]],.]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0]=>[[.,[[[[[[.,[.,.]],.],.],.],.],[.,[.,.]]]],.]
[1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[[[.,.],[[[[[[[.,[.,.]],.],.],.],.],.],.]],.]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]]
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[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[.,[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]]
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[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],.]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],.]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],.]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]],.]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],.]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]],.]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],.]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[.,.],[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],.]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.]]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[.,.],[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[.,.],[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],.]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]],.]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[.,.],[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],.]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[.,.],[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],.]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[[.,.],[[.,.],[.,.]]],[[[[.,.],[.,.]],[.,.]],.]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[[[.,.],[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],.]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],.]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[.,.],[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],.]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[.,.],[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],.]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[[.,.],[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],.]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[.,.],[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],.]]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[.,.],[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.]]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]],.]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]],.]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],.]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]],.]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],.]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],.]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],.]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],.]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[.,.],[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],.]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]],.]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[.,.],[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],.]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[.,.],[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[.,.],[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],.]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],.]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]],.]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[[.,.],[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],.]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]],.]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],.]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],.]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],.]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],.]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],.]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],.]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],.]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[[[.,.],[.,.]],[.,.]],[[[.,.],[[.,.],[.,.]]],.]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]],.]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],.]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],.]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],.]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],.]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[[.,.],.]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[[.,.],.]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[.,.],[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],.]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[.,.],[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]],.]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]],.]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],.]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[.,.],[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],.]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[.,.],[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],.]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],.]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],[[[.,.],[.,.]],.]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],.]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],.]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],.]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[[.,.],[.,.]],[[.,.],[[[.,.],[[.,.],[.,.]]],.]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[.,.],[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],.]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[.,.],[.,.]],[[[.,.],[.,.]],[[[.,.],[.,.]],.]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],.]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[[.,.],[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],.]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],.]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],.]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],.]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[[[.,.],[.,.]],[.,.]],[[.,.],[[[.,.],[.,.]],.]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[[.,.],.]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],.]]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[.,.],[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],.]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[.,.],[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],.]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[.,.],[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],.]]]]
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[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],.]]]]
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[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[[[[.,.],[.,[[.,.],.]]],[[.,[.,[[.,.],.]]],.]],.]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[[[[[.,.],[.,[.,.]]],[[[.,.],.],[.,.]]],.],[.,.]]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[[[.,[[.,.],.]],[[.,[.,[.,.]]],[[[.,.],.],.]]],.]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[[[.,[.,[.,.]]],[[.,.],.]],[[.,[[[.,.],.],.]],.]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[[[[[.,.],.],[.,[.,.]]],.],[.,[[[.,.],[.,.]],.]]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[[[.,.],[.,[[[.,.],[.,[.,.]]],[[[.,.],.],.]]]],.]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[[.,[[[[.,.],.],[.,[.,.]]],[[.,.],.]]],[[.,.],.]]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[[.,[[.,[[[.,.],.],[.,.]]],.]],[[[.,.],.],[.,.]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[[[.,[[[.,.],.],[.,.]]],.],[.,[[[.,.],.],[.,.]]]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[[[[.,.],[.,[.,[[.,.],.]]]],[[.,[[.,.],.]],.]],.]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[[[[[.,.],[.,.]],[[[.,.],.],[.,[.,.]]]],.],[.,.]]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[[.,[.,[[.,.],.]]],[[.,[.,.]],[[[.,.],.],.]]],.]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[[.,[.,.]],[[.,.],.]],[[.,[.,[[[.,.],.],.]]],.]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[[[[[.,.],.],[.,.]],.],[.,[[[.,.],[.,[.,.]]],.]]]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[[.,[.,.]],[[[.,.],[.,.]],[[[.,.],.],[.,.]]]],.]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[[[[.,.],.],[.,.]],[[.,.],[.,.]]],[[.,[.,.]],.]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[[.,.],[.,.]],[[.,[.,.]],[[.,[[[.,.],.],.]],.]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[[.,.],.],[.,[[.,[.,.]],[[.,[[[.,.],.],.]],.]]]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[[.,.],[.,[[[.,.],[.,.]],[[[.,.],.],[.,.]]]]],.]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[.,[[[[.,.],.],[.,.]],[[.,.],[.,.]]]],[[.,.],.]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[.,[[[.,.],.],.]],[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[[.,[[[.,.],.],.]],[[.,.],.]],[[.,.],[.,[.,.]]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[[[.,.],.],[.,[[.,.],[.,[[.,[[[.,.],.],.]],.]]]]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[[[.,[[.,.],[.,[[.,.],[.,.]]]]],[[[.,.],.],.]],.]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>[[[[.,.],[.,[[[.,.],.],[.,[[.,.],.]]]]],.],[.,.]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[[[.,.],.],[.,[[.,.],[.,.]]]],[[.,.],[.,.]]],.]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[[[.,.],[.,.]],[[[.,.],[.,[[[.,.],.],[.,.]]]],.]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[[.,.],.],[.,[[.,[[.,.],[.,[[[.,.],.],.]]]],.]]]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[[.,[.,[[.,.],.]]],[[.,.],[.,[[[.,.],.],.]]]],.]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[[.,.],[.,[[.,.],.]]],[[.,[.,[[[.,.],.],.]]],.]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],[[[[.,.],.],.],.]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[.,.],[.,[[[.,.],[.,[.,.]]],[[[[.,.],.],.],.]]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[[[.,[[.,.],.]],[[.,.],[.,[.,[[[.,.],.],.]]]]],.]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[[[.,.],[.,[.,[[.,.],.]]]],[[.,[[[.,.],.],.]],.]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],[[[[.,.],.],.],.]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[.,[.,.]],[[[.,.],[.,.]],[[[[.,.],.],.],[.,.]]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[.,.],[.,[[[.,.],[.,.]],[[[[.,.],.],.],[.,.]]]]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[[[[.,.],.],[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]],.]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],[[[[.,.],.],.],.]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[[[.,.],.],.],[.,[[.,.],[.,.]]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[.,[.,[[.,.],.]]],[[.,.],[.,[[[[.,.],.],.],.]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[.,[[.,.],.]],[[.,.],[.,[.,[[[[.,.],.],.],.]]]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[[.,.],.],[.,[[.,.],[.,[[[[.,.],.],.],[.,.]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[[[[.,.],.],.],.],[[[[.,.],.],.],[[.,.],[.,.]]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[[[.,.],.],[[[[.,.],.],.],[[.,.],[.,[[.,.],.]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[[[[.,.],.],.],.],[[[.,.],.],[[[.,.],.],[.,.]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[.,[[[[.,.],.],.],[[.,.],[[[.,.],.],[[.,.],.]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[.,[[[[.,.],.],.],[[.,.],[[.,.],[[[.,.],.],.]]]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[[[.,.],.],[[[.,.],.],[[[.,.],.],[.,[[.,.],.]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[.,[[[[.,.],.],.],[[[.,.],.],[[[.,.],.],[.,.]]]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[[.,.],.],[[.,.],[.,[[[[.,.],.],.],[[.,.],.]]]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[[.,.],.],[[.,.],[.,[[[.,.],.],[[[.,.],.],.]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[.,[[[[.,.],.],.],[[.,.],[[[[.,.],.],.],[.,.]]]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[[.,.],.],[[.,.],[.,[[.,.],[[[[.,.],.],.],.]]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],[[.,.],[.,.]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[[[[.,.],.],.],[[[[.,.],.],.],[[[.,.],.],[.,.]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[.,[[[.,.],.],[[[.,.],.],[[[.,.],.],[[.,.],.]]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[.,[[[.,.],.],[[[.,.],.],[[.,.],[[[.,.],.],.]]]]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[[[.,.],.],[[[[[.,.],.],.],.],[[[.,.],.],[.,.]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[.,[[.,.],[[[.,.],.],[[[[.,.],.],.],[[.,.],.]]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[.,[[.,.],[[[.,.],.],[[[.,.],.],[[[.,.],.],.]]]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[[.,.],.],[[[[.,.],.],.],[[[[.,.],.],.],[.,.]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[.,[[.,.],[[[.,.],.],[[.,.],[[[[.,.],.],.],.]]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[[.,.],.],[[.,.],[[[[.,.],.],.],[.,[[.,.],.]]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[.,[[[.,.],.],[[[[.,.],.],.],[[[.,.],.],[.,.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[.,[[.,.],[[.,.],[[[[[.,.],.],.],.],[[.,.],.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[.,[[.,.],[[.,.],[[[[.,.],.],.],[[[.,.],.],.]]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[.,[[[.,.],.],[[[.,.],.],[[[[.,.],.],.],[.,.]]]]]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[.,[[.,.],[.,[[[[[.,.],.],.],.],[[[.,.],.],.]]]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[.,[[.,.],[.,[[[[.,.],.],.],[[[[.,.],.],.],.]]]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[[.,.],.],[[[.,.],.],[[[[[.,.],.],.],.],[.,.]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[.,[[.,.],[[.,.],[[[.,.],.],[[[[.,.],.],.],.]]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[.,[[.,.],[.,[[[.,.],.],[[[[[.,.],.],.],.],.]]]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[[.,.],[[[[[.,.],.],.],.],[[.,.],[.,[[.,.],.]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[.,[[[[.,.],.],.],[[[[.,.],.],.],[[.,.],[.,.]]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[[.,.],[[[[.,.],.],.],[[[.,.],.],[.,[[.,.],.]]]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[.,.],[[[.,.],.],[.,[[[[.,.],.],.],[[.,.],.]]]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[.,.],[[[.,.],.],[.,[[[.,.],.],[[[.,.],.],.]]]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[.,.],[[[.,.],.],[.,[[.,.],[[[[.,.],.],.],.]]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[.,[[[.,.],.],[[[[[.,.],.],.],.],[[.,.],[.,.]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[.,[[[[[.,.],.],.],.],[[[.,.],.],[.,[[.,.],.]]]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[[.,.],[[[[[[.,.],.],.],.],.],[[[.,.],.],[.,.]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[.,[[[[[.,.],.],.],.],[[[[.,.],.],.],[[.,.],.]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[.,[[[[[.,.],.],.],.],[[[.,.],.],[[[.,.],.],.]]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[.,.],[[[[[.,.],.],.],.],[[[[.,.],.],.],[.,.]]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[.,[.,[[[[.,.],.],.],[[[.,.],.],[[[.,.],.],.]]]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[.,[.,[[[[.,.],.],.],[[.,.],[[[[.,.],.],.],.]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[.,[[[[.,.],.],.],[[[[.,.],.],.],[.,[[.,.],.]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[.,[[[[.,.],.],.],[[[[[.,.],.],.],.],[[.,.],.]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[.,[[[[.,.],.],.],[[[[.,.],.],.],[[[.,.],.],.]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[.,[[[.,.],.],[[[[[.,.],.],.],.],[[[.,.],.],.]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[.,[[[.,.],.],[[[[.,.],.],.],[[[[.,.],.],.],.]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[.,.],[[[[.,.],.],.],[[[[[.,.],.],.],.],[.,.]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[.,[.,[[[.,.],.],[[[[.,.],.],.],[[[.,.],.],.]]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[.,[.,[[[.,.],.],[[[.,.],.],[[[[.,.],.],.],.]]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[.,[[[.,.],.],[[[.,.],.],[[[[[.,.],.],.],.],.]]]]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[.,[[.,.],[[[[.,.],.],.],[[[.,.],.],[[.,.],.]]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[.,[[.,.],[[[[.,.],.],.],[[.,.],[[[.,.],.],.]]]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[.,[.,[[[[.,.],.],.],[[[[.,.],.],.],[[.,.],.]]]]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[.,.],[[[.,.],.],[[[[.,.],.],.],[.,[[.,.],.]]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[.,[.,[[[.,.],.],[[[[[.,.],.],.],.],[[.,.],.]]]]]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[.,[[.,.],[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[.,[[.,.],[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[.,[[.,.],[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[.,[[[.,.],.],[[[[[.,.],.],.],.],[.,[[.,.],.]]]]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[.,[[.,.],[[[[[.,.],.],.],.],[[[.,.],.],[.,.]]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[.,[[[.,.],.],[[[[[[.,.],.],.],.],.],[[.,.],.]]]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[.,.],[[[.,.],.],[[[[[[.,.],.],.],.],.],[.,.]]]]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[.,[.,[[.,.],[[[[[.,.],.],.],.],[[[.,.],.],.]]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[.,[[.,.],[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],[[.,.],.]]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],[[.,.],.]]]
[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]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],[[.,.],.]]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[[.,.],.]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],[[.,.],.]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],[[.,.],.]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0]=>[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],[[.,.],.]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],[[.,.],.]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],[[.,.],.]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],[[.,.],.]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],[[.,.],.]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],[[.,.],.]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],[[.,.],.]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]=>[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],[[.,.],.]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],[[.,.],.]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,[[.,.],.]],.]]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,[[.,.],.]],.]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[.,.],[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,[[.,.],.]],.]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,[[.,.],.]],.]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,[[.,.],.]],.]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,[[.,.],.]],.]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,[[.,.],.]],.]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[.,.],[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[.,[[.,.],.]],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[.,.],[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],[[.,.],.]]],.]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],[[.,.],.]]],.]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[.,.],[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[.,[[.,.],.]],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[.,[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[.,.],[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[.,[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]=>[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]]],.]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[.,.],[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[.,.],[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[.,[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]],.]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]=>[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]],.]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]],.]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]=>[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]=>[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[.,.],[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[.,[[.,.],.]],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[.,.],[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[.,[[.,.],[[.,.],.]]],[[.,[[.,[[.,.],.]],.]],.]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[.,[[.,[[.,.],.]],.]],[[.,[[.,[[.,.],.]],.]],.]]
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[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[.,[.,[.,[.,[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],[.,.]]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,[.,.]]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[[.,[.,.]],[.,.]],[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[[.,[.,.]],[.,.]],[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,[.,.]]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],[.,.]]],.]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[[.,[.,.]],[[.,[.,.]],.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,[.,.]]],.]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[.,[.,.]],[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]],.]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[.,[.,.]],[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[.,[.,.]],[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,[.,.]]],.]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]],.]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[.,[.,.]],[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]],.]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[.,[.,.]],[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[.,[.,.]],[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]],.]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[.,[.,.]],[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[.,[.,.]],[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,[.,.]]],.]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],[.,.]]],.]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[[.,[[.,[.,.]],.]],[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,[.,.]]],.]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],[.,.]]],.]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[.,[[.,[.,.]],.]],[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[.,[[.,[.,.]],.]],[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[.,[[.,[.,.]],.]],[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,[.,.]]],.]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],[.,.]]],.]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[.,[[[.,[.,.]],[.,.]],.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,[.,.]]],.]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[.,[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],.]]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]],.]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[.,[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[.,[[[[.,[.,.]],[.,.]],.],[[.,.],[[.,[.,.]],.]]]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,[.,.]]],.]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]],.]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[.,[[[[.,[.,.]],[[.,[.,.]],.]],.],[[.,[.,.]],.]]]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]],.]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[.,[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[.,[[[.,[.,.]],.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]]],.]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[.,[[[.,[.,.]],.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[.,[[[.,[.,.]],.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[.,[[[.,[.,.]],.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,[.,.]]],.]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0]=>[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],[.,.]]],.]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[.,[[.,[[.,[.,.]],.]],.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,[.,.]]],.]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]]],.]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[.,[[[[.,[[.,[.,.]],.]],[.,.]],.],[[.,[.,.]],.]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]],.]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[.,[[[.,[[.,[.,.]],.]],.],[[[.,[.,.]],[.,.]],.]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[.,[[[.,[[.,[.,.]],.]],.],[[.,.],[[.,[.,.]],.]]]]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0]=>[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,[.,.]]],.]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]]],.]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[.,[[[.,[[[.,[.,.]],[.,.]],.]],.],[[.,[.,.]],.]]]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]],.]
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[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[.,[[.,.],[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]]],.]
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[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0]=>[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,[.,.]]],.]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]]],.]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[.,[[[.,[[.,[[.,[.,.]],.]],.]],.],[[.,[.,.]],.]]]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]],.]
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[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]]],.]
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[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]],.]
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[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[[.,[[.,[[[.,.],.],.]],[[[.,[.,.]],.],[.,.]]]],.]
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[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[[.,[[[[[.,[.,.]],.],[.,.]],[.,.]],.]],[.,[.,.]]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[[[.,[[[[.,[.,.]],.],[[.,[.,.]],.]],.]],[.,.]],.]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[[[.,[[[.,[.,.]],[[.,.],.]],.]],[.,.]],[.,[.,.]]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[[[.,[[[[.,[.,.]],.],[.,.]],.]],[.,.]],[.,[.,.]]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[[[[.,[[[.,[.,.]],.],.]],[.,.]],[.,.]],[.,[.,.]]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[[[[.,[[[.,[.,.]],.],.]],[[.,[.,.]],.]],[.,.]],.]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[[.,[[[.,[.,.]],[[.,.],.]],.]],[[.,[.,.]],.]],.]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[[[.,[[[[.,[.,.]],.],[.,.]],.]],[[.,[.,.]],.]],.]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[[[[.,[[[.,[.,.]],.],.]],[.,.]],[[.,[.,.]],.]],.]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[.,[[.,[[[.,[.,.]],.],.]],[[.,[[.,[.,.]],.]],.]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[.,[[.,[[[.,[.,.]],.],.]],[[[.,[.,.]],[.,.]],.]]]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[.,[.,.]],[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[[.,[.,.]],[.,.]],[[[[.,[.,.]],.],[.,.]],[.,.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[[.,[.,.]],[.,.]],[[[.,.],[[.,[.,.]],.]],[.,.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],.],.]],.]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],.],.]],.]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[[[.,[.,.]],[.,.]],[[[.,[.,.]],.],.]],[.,[.,.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],[.,[[.,[.,.]],.]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],[.,[[.,[.,.]],.]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]],[.,[.,.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],[[.,[.,.]],[.,.]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[[[[.,[.,.]],[.,.]],.],[[.,[[.,[.,.]],.]],.]],.]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]],.]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[[.,[.,.]],[[.,[[[[.,.],[.,.]],[.,.]],.]],[.,.]]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[[[.,[.,.]],[[.,[[[[.,[.,.]],.],[.,.]],.]],.]],.]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[[.,[.,.]],[[.,[[[.,.],[[.,[.,.]],.]],.]],.]],.]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[.,[[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],.],.]],.]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[.,[[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],.],.]],.]]]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[[.,[.,.]],[[[.,[[[.,.],[.,.]],.]],[.,.]],[.,.]]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[[[.,[.,.]],[[[.,[[[.,[.,.]],.],.]],[.,.]],.]],.]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[[.,[.,.]],[[[[.,[[.,.],.]],[.,.]],[.,.]],[.,.]]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[[[.,[.,.]],[[[.,[[.,.],.]],[[.,[.,.]],.]],.]],.]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[[[.,[.,.]],[[[[.,.],[.,.]],[[.,[.,.]],.]],.]],.]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[.,[[.,[.,.]],[[[.,.],[[.,[[.,[.,.]],.]],.]],.]]]
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[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[[[.,[.,.]],[[.,[[[.,.],[.,.]],.]],.]],[.,[.,.]]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[[[[.,[.,.]],[[.,[[[.,[.,.]],.],.]],.]],[.,.]],.]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[[[.,[.,.]],[[[.,[[.,.],.]],[.,.]],.]],[.,[.,.]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],.]],[.,[.,.]]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[[[[.,[.,.]],[[[.,.],[[.,[.,.]],.]],.]],[.,.]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[[[[.,[.,.]],[[.,[[.,.],.]],.]],[.,.]],[.,[.,.]]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[[[[.,[.,.]],[[[.,.],[.,.]],.]],[.,.]],[.,[.,.]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[[[[[.,[.,.]],[[.,.],.]],[.,.]],[.,.]],[.,[.,.]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[[[[[.,[.,.]],[[.,.],.]],[[.,[.,.]],.]],[.,.]],.]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[[[.,[.,.]],[[.,[[.,.],.]],.]],[[.,[.,.]],.]],.]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[[[[.,[.,.]],[[[.,.],[.,.]],.]],[[.,[.,.]],.]],.]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[[[[[.,[.,.]],[[.,.],.]],[.,.]],[[.,[.,.]],.]],.]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[.,[[[.,[.,.]],[[.,.],.]],[[.,[[.,[.,.]],.]],.]]]
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[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[[.,[[.,[[.,[[[[.,.],[.,.]],[.,.]],.]],.]],.]],.]
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[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.],.]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[[[[.,[.,.]],[.,.]],.],[[.,[[.,[.,.]],.]],[.,.]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[[[.,[.,.]],[.,.]],.],[.,[[[.,[.,.]],[.,.]],.]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[[[.,[.,.]],[.,.]],.],[.,[[.,[[.,[.,.]],.]],.]]]
[1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.],.]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]=>[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.],[.,[.,.]]]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.],.]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],[[.,[.,.]],[.,.]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],[.,[[.,[.,.]],.]]]
[1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.],.]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0]=>[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.],[.,[.,.]]]
[1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.],.]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.],.]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[[.,[.,.]],.],[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[[.,[.,.]],.],[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]]
[1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.],.]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.],[.,[.,.]]]
[1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.],.]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[[[.,[.,.]],.],[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[[.,[.,.]],.],[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.],.]
[1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[[.,[.,.]],.],[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[[.,[.,.]],.],[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[[.,[.,.]],.],[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.],.]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[[.,[.,.]],.],[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[[.,[.,.]],.],[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[[.,[.,.]],.],[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[[.,[.,.]],.],[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0]=>[[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.],.]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.],[.,[.,.]]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.],.]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],[[.,[.,.]],[.,.]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],[.,[[.,[.,.]],.]]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.],.]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.],[.,[.,.]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.],.]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[[[.,[[.,[.,.]],.]],.],[[[.,[.,.]],[.,.]],[.,.]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],[[.,[.,.]],.]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.],.]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[[[.,[[.,[.,.]],.]],.],[[.,[[.,[.,.]],.]],[.,.]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[[.,[[.,[.,.]],.]],.],[.,[[[.,[.,.]],[.,.]],.]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[[.,[[.,[.,.]],.]],.],[.,[[.,[[.,[.,.]],.]],.]]]
[1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0]=>[[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.],.]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0]=>[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.],[.,[.,.]]]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.],.]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],[[.,[.,.]],[.,.]]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],[.,[[.,[.,.]],.]]]
[1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>[[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.],.]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0]=>[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.],[.,[.,.]]]
[1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0]=>[[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.],.]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]]]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.],.]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[[.,.],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[.,.],[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[.,.],[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]]]
[1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.],.]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.],[.,[.,.]]]
[1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.],.]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[[.,.],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[.,.],[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.],.]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[.,.],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[.,.],[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[.,.],[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.],.]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[.,.],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]]]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[.,.],[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[.,.],[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[.,.],[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]=>[[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.],.]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0]=>[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.],[.,[.,.]]]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0]=>[[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.],.]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],[[.,[.,.]],[.,.]]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],[.,[[.,[.,.]],.]]]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]=>[[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.],.]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.],[.,[.,.]]]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0]=>[[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.],.]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[[.,.],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]]]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.],.]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[[.,.],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[.,.],[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[[.,.],[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]]]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0]=>[[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.],.]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.],[.,[.,.]]]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0]=>[[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.],.]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[[.,.],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[.,.],[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]]]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]=>[[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.],.]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[[.,.],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]]
[1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[.,.],[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[[.,.],[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]]]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.],.]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[[.,.],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[.,.],[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]]
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[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[.,.],[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]]]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.],.]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.],[.,[.,.]]]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.],.]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[[.,.],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.],.]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[[.,.],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[.,.],[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[[.,.],[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]]]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.],.]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[[.,.],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]]]
[1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[.,.],[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[[.,.],[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[.,.],[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[[.,.],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[.,.],[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[[.,.],[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[.,.],[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[.,.],[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,[[.,.],.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[[[.,[.,.]],.],.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[[.,[.,.]],[.,.]],[.,[[[[.,[.,.]],[.,.]],.],.]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[[.,[.,.]],[.,.]],[.,[[[.,[[.,[.,.]],.]],.],.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,[[.,.],.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],[[[.,[.,.]],.],.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[[.,[.,.]],[.,[[[[[.,[.,.]],[.,.]],[.,.]],.],.]]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[.,[.,.]],[.,[[[[.,[.,.]],[[.,[.,.]],.]],.],.]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],[[.,.],.]]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[[.,[.,.]],[.,[[[[.,[[.,[.,.]],.]],[.,.]],.],.]]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[.,[.,.]],[.,[[[.,[[[.,[.,.]],[.,.]],.]],.],.]]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[.,[.,.]],[.,[[[.,[[.,[[.,[.,.]],.]],.]],.],.]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,[[.,.],.]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],[[.,.],.]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[.,[.,.]],[[.,[.,.]],[[[[.,[.,.]],[.,.]],.],.]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[.,[.,.]],[[.,[.,.]],[[[.,[[.,[.,.]],.]],.],.]]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,[[.,.],.]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],[[[.,[.,.]],.],.]]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],.]]]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[.,[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.],.]]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[.,[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.],.]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],[[.,.],.]]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[.,[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.],.]]]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[.,[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.],.]]]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[.,[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.],.]]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,[[.,.],.]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],[[[.,[.,.]],.],.]]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],[[.,.],.]]]
[1,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[.,[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.],.]]]
[1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[.,[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.],.]]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],[[.,.],.]]]
[1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[.,[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.],.]]]
[1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[.,[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.],.]]]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[.,[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.],.]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],[[.,.],.]]]
[1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[.,[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.],.]]]
[1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[.,[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.],.]]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[.,[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.],.]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,[[.,.],.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,[[[.,[.,.]],.],.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[.,[[.,[.,.]],.]],[.,[[[[.,[.,.]],[.,.]],.],.]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[.,[[.,[.,.]],.]],[.,[[[.,[[.,[.,.]],.]],.],.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,[[.,.],.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],[[[.,[.,.]],.],.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[.,[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],.],.]]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[.,[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],.],.]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],[[.,.],.]]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[.,[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],.],.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[.,[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],.],.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[.,[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],.],.]]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,[[.,.],.]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,[[[.,[.,.]],.],.]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],[[.,.],.]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[.,[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],.],.]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[.,[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],.],.]]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,[[.,.],.]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],.],.]]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],.]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,.],.]]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,[[.,.],.]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],.],.]]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,.],.]]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,.],.]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,.],.]]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0]=>[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,[[.,.],.]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,[[[.,[.,.]],.],.]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],[[.,.],.]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[.,[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],.],.]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[.,[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],.],.]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0]=>[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,[[.,.],.]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],.],.]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]=>[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,.],.]]]
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[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,[[.,.],.]]]
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[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]=>[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,.],.]]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,.],.]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,[[.,.],.]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0]=>[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,.],.]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0]=>[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,.],.]]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,.],.]]]
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[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[[[.,[[.,.],[[.,.],[[.,.],.]]]],[.,.]],[[.,.],.]]
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[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[.,.]]]],.]
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[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[[.,[[.,.],.]],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],[[.,.],[[.,.],.]]]
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[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[[[[.,.],[[[.,.],[[.,.],.]],[.,.]]],[[.,.],.]],.]
[1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[[[.,.],[[[.,[[[[[.,.],.],.],.],.]],.],.]],.],.]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[[.,.],[[[[[.,.],.],[.,.]],[[[[.,.],.],.],.]],.]]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[[.,.],[[[[[.,.],.],[.,.]],[.,.]],[[[.,.],.],.]]]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[[[[.,.],[[[.,.],[[.,.],[[.,.],.]]],[.,.]]],.],.]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[[.,.],[[[[[.,.],[[.,.],.]],[.,.]],[[.,.],.]],.]]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[[.,.],[[[[[.,.],[[.,.],[[.,.],.]]],[.,.]],.],.]]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[.,[[[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.],.],.]]
[1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[.,.],[[[[[.,[[[[[.,.],.],.],.],.]],.],.],.],.]]
[1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[.,[[[[[.,.],[[[[[[.,.],.],.],.],.],.]],.],.],.]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]=>[.,[[[[[[[[[.,.],.],.],.],.],[[.,.],.]],.],.],.]]
[1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[.,[[[[[[.,.],[[[[[.,.],.],.],.],.]],.],.],.],.]]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[[[.,.],[[[.,.],[[.,[[[.,.],.],.]],.]],.]],.],.]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[[.,.],[[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.],.]]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[.,.],[[[[[.,.],[[.,[[[.,.],.],.]],.]],.],.],.]]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[.,[[[[[.,.],[[.,.],[[[[.,.],.],.],.]]],.],.],.]]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[[.,.],[[[[[.,[[[.,.],.],.]],[[.,.],.]],.],.],.]]
[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[.,[[[[[.,.],[[[[.,.],.],.],[[.,.],.]]],.],.],.]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[.,[[[[[[[.,.],.],.],[[.,.],[[.,.],.]]],.],.],.]]
[1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[.,[[.,[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]],.]]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[[.,.],[[[[[.,[[.,.],[[[.,.],.],.]]],.],.],.],.]]
[1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[.,[[[[[.,.],[[[.,.],[[[.,.],.],.]],.]],.],.],.]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[.,[[[[[[[.,.],.],.],[.,.]],[[[.,.],.],.]],.],.]]
[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[.,[[[[[[.,.],[[[.,.],.],.]],[[.,.],.]],.],.],.]]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[.,[[[[[[.,.],[[.,.],[[[.,.],.],.]]],.],.],.],.]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[[[[[.,.],[.,.]],[[.,.],[[[.,.],.],[.,.]]]],.],.]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[[[[.,.],[[.,.],[[[.,.],.],[.,.]]]],[[.,.],.]],.]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[[[.,.],[[.,.],[[[.,[[[.,.],.],.]],.],.]]],.],.]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[[.,.],[[.,.],[[[.,[.,.]],[[[[.,.],.],.],.]],.]]]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[[.,.],[[.,.],[[[.,[.,.]],[.,.]],[[[.,.],.],.]]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[[[[.,.],[[[.,.],[.,.]],[[[.,.],.],[.,.]]]],.],.]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[[.,.],[[[[.,.],[[[.,.],.],[.,.]]],[[.,.],.]],.]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[[.,.],[[[[[.,.],[.,.]],[[[.,.],.],[.,.]]],.],.]]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[.,[[[[[.,.],[[.,.],[.,.]]],[[[.,.],.],.]],.],.]]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[.,.],[[[[.,.],[[[.,[[[.,.],.],.]],.],.]],.],.]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[.,[[[[[.,.],[.,.]],[[[[[.,.],.],.],.],.]],.],.]]
[1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[.,[[[[.,.],[[[[[.,.],.],.],[[.,.],.]],.]],.],.]]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[.,[[[[.,.],[[[[.,.],[[[.,.],.],.]],.],.]],.],.]]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[[[[.,.],[[.,.],[[[.,.],[[.,.],.]],[.,.]]]],.],.]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[[.,.],[[.,.],[[[[[.,.],.],[.,.]],[[.,.],.]],.]]]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[[.,.],[[[[.,.],[[[.,.],[[.,.],.]],[.,.]]],.],.]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[.,[[[[[.,.],[.,.]],[[[.,.],[[.,.],.]],.]],.],.]]
[1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[.,[[[[.,.],[[[[[[[.,.],.],.],.],.],.],.]],.],.]]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[[.,.],[[.,.],[[[[[.,.],[[.,.],.]],[.,.]],.],.]]]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[.,[[[[.,.],[[[.,.],[[.,.],[[.,.],.]]],.]],.],.]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[.,[[.,.],[[[[[.,.],[[.,.],[[.,.],.]]],.],.],.]]]
[1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[.,[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[.,.],[[.,.],[[[[[.,[[[.,.],.],.]],.],.],.],.]]]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[.,[[[[.,.],[[[.,.],[[[[.,.],.],.],.]],.]],.],.]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[.,[[.,.],[[[[[.,.],[[[[.,.],.],.],.]],.],.],.]]]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[.,[[.,.],[[[[[[[.,.],.],.],[[.,.],.]],.],.],.]]]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[.,[[.,.],[[[[[[.,.],[[[.,.],.],.]],.],.],.],.]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[[[[.,.],[[.,.],[[.,.],[[[.,.],.],[.,.]]]]],.],.]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[[.,.],[[.,.],[[.,.],[[[.,[.,.]],[[.,.],.]],.]]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[[.,.],[[[[.,.],[[.,.],[[[.,.],.],[.,.]]]],.],.]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[.,[[[[[.,.],[.,.]],[[.,.],[[[.,.],.],.]]],.],.]]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[.,[[[[.,.],[[.,.],[[[[[.,.],.],.],.],.]]],.],.]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[[.,.],[[.,.],[[[[.,.],[[[.,.],.],[.,.]]],.],.]]]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[.,[[[[.,.],[[[.,.],[.,.]],[[[.,.],.],.]]],.],.]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[.,[[.,.],[[[[[.,.],[.,.]],[[[.,.],.],.]],.],.]]]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[.,[[.,.],[[[[.,.],[[[[[.,.],.],.],.],.]],.],.]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[[.,.],[[.,.],[[.,.],[[[[[.,.],.],[.,.]],.],.]]]]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[.,[[[[.,.],[[.,.],[[[.,.],[[.,.],.]],.]]],.],.]]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[.,[[.,.],[[[[.,.],[[[.,.],[[.,.],.]],.]],.],.]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[.,[[.,.],[[.,.],[[[[[.,.],[[.,.],.]],.],.],.]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[.,[[.,.],[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[[.,.],[[.,.],[[.,.],[[.,.],[[[.,[.,.]],.],.]]]]]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[.,[[[[.,.],[[.,.],[[.,.],[[[.,.],.],.]]]],.],.]]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[.,[[.,.],[[[[.,.],[[.,.],[[[.,.],.],.]]],.],.]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[.,[[.,.],[[.,.],[[[[.,.],[[[.,.],.],.]],.],.]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[.,[[.,.],[[.,.],[[.,.],[[[[[.,.],.],.],.],.]]]]]
[1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]],.]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.],.]
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[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,[.,.]]]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[.,[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]]]
[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]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]]
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[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
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[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]],.]
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[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]],.]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]],.]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]],.]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0]=>[[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]],.]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0]=>[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]],.]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0]=>[[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]],.]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]],.]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0]=>[[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>[[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]],.]
[1,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0]=>[[.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]],.]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]],.]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]],.]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]],.]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0]=>[[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]],.]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0]=>[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]],.]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0]=>[[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]],.]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]=>[[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]],.]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0]=>[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]],.]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0]=>[[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]=>[[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]],.]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0]=>[[.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[[.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]],.]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0]=>[[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0]=>[[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0]=>[[.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]],.]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]=>[[.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]],.]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[[.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]],.]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]],.]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]],.]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[[.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]],.]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[[.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[[.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]],.]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]],.]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[[[[[[[[[[[.,[.,.]],.],.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.],.],[.,.]]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0]=>[[[[[[[[[[[[[[[[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.],.],[.,.]],[.,.]],.],.],[.,.]],[.,.]],.],.],[.,.]],.],.],.],.],[.,.]]
Description
Return the binary tree corresponding to the Dyck path under the transformation up step - left tree - down step - right tree.
A Dyck path $D$ of semilength $n$ with $ n > 1$ may be uniquely decomposed into $1L0R$ for Dyck paths L,R of respective semilengths $n_1, n_2$ with $n_1 + n_2 = n-1$.
This map sends $D$ to the binary tree $T$ consisting of a root node with a left child according to $L$ and a right child according to $R$ and then recursively proceeds.
The base case of the unique Dyck path of semilength $1$ is sent to a single node.
A Dyck path $D$ of semilength $n$ with $ n > 1$ may be uniquely decomposed into $1L0R$ for Dyck paths L,R of respective semilengths $n_1, n_2$ with $n_1 + n_2 = n-1$.
This map sends $D$ to the binary tree $T$ consisting of a root node with a left child according to $L$ and a right child according to $R$ and then recursively proceeds.
The base case of the unique Dyck path of semilength $1$ is sent to a single node.
Properties
bijective, graded
Sage code
def mapping(D): return D.to_binary_tree("1L0R")
Created
Jan 19, 2020 at 07:29 by FindStatCrew
Updated
Jan 19, 2020 at 07:29 by Martin Rubey
searching the database
Sorry, this map was not found in the database.