Question: Let S Z+ with |S| =7. For A S, let sA denote the sum of the elements in A. If m is

Let S ⊂ Z+ with |S| =7. For ϕ A ⊂ S, let sA denote the sum of the elements in A. If m is the maximum element in S, find the possible values of m so that there will exist distinct subsets B, C of S with sB = sc.

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