Question: The set-partition problem takes as input a set S of numbers. The question is whether the numbers can be partitioned into two sets A and

The set-partition problem takes as input a set S of numbers. The question is whether the numbers can be partitioned into two sets A and A ̅ = S − A such that ∑_x_∈_A x = P_x_∈_A_̅ x. Show that the set-partition problem is NP-complete.

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