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Suppose that you are given two sets a and b, each containing positive integers. you can choose to reorder each set however you like. after reordering, letaibe theith element of set a, and letbibe theith element of set b. you then receive a payoff of∏ni=1abii. givea polynomial-time algorithm that will maximize your payoff. prove that your algorithm maximizes the payoff, and state its running time.

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