From 2013 to 2014

The transition from 2013 to 2014 is special because the binary representations of 2013 and 2014 both have exactly two digits of 0.

How many integers 1 N < 2014 1\le N<2014 satisfy the condition that the binary representations of N N and N + 1 N+1 both have exactly two digits of 0?


The answer is 33.

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