Question: Either prove that the following problem is NP-complete or show that it belongs to P by giving a polynomial time algorithm: Input: A set of

Either prove that the following problem is NP-complete or show that it belongs to P by giving a polynomial time algorithm: Input: A set of positive integers a1, . . . , ak and a target number M. Question: Is there a subset of indices S {1, . . . , k} such that Q iS ai = M

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