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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