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4. (20) You are given as input two unsorted arrays, A and B, each containing positive integers. You are allowed to reorder the arrays, and

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4. (20) You are given as input two unsorted arrays, A and B, each containing positive integers. You are allowed to reorder the arrays, and you want to find the reordering of A and B such that if a, and b, are the ith integers in the new ordering of A and B, respectively, then the product III.(a)' = a... is maximized. Give an algorithm that reorders A and B such that the above quantity is maximized. Prove the correctness and state the runtime of your algorithm

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