Binary String MEX

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You are given a binary string $S$. Chef defines $\mathrm{MEX}(S)$ as the smallest non-negative integer such that its binary representation (without leading '0'-s; in particular, the binary representation of $0$ is "0") is not a [subsequence](https://en.wikipedia.org/wiki/Subsequence) of $S$. Chef is asking you to find $\mathrm{MEX}(S)$. Since this integer could be very large, find its binary re

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solution.cppC++17

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