Sum and OR

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Chef has two integers $X$ and $S$. He is interested in sequences of non-negative integers such that the sum of their elements is $S$ and the [bitwise OR](https://en.wikipedia.org/wiki/Bitwise_operation#OR) of their elements is $X$. Chef would like to know the shortest possible length such a sequence can have. Formally, find the smallest positive integer $N$ such that there exists a sequence $A =

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solution.cppC++17

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