Suppose you are given a number 35, how can you say if the number can be written as the sum of unique powers of a number ?(adsbygoogle = window.adsbygoogle || []).push({});

For example, 11 cannot be written as a sum of powers of number 3.

But 13 can be written as follows :

3^{0}+ 3^{1}+ 3^{2}= 15

I hope my question is clear.

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# Sum of unique powers of a number

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