# Pigeonhole Sets

Find the smallest natural number $$n$$ such that for all sets $$A:=\{a_1,a_2,...,a_n\}$$ there exists a set $$B:=\{b_1,b_2,...,b_{2014}\}$$ with $$B\subseteq A$$ and $$\sum_{i=1}^{2014}b_i\equiv 0\pmod{2014}$$.

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