Question: A positive integer is fancy if its representation in base 4 only includes 0 s and 1 s . For example: 1 7 is fancy:

A positive integer is fancy if its representation in base 4 only includes 0s and 1s. For example:
17 is fancy: its base-4 representation, 101, only includes 0s and 1s.
18 is not fancy: its base-4 representation, 102, includes a 2.

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