The minimum of maximum

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Consider all ordered 5-tuples of positive integers \( (a,b,c,d,e) \) such that \(a+b+c+d+e=2014\). Let \(M\) be the maximum of the numbers \(a+b, b+c, c+d, d+e\). Over all such 5-tuples, what is the minimum value of \(M\)?

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