Question: Problem 3 ( 2 0 % ) . Consider the Knapsack problem again. For any 0 i n and any s 0 , define A

Problem 3(20%). Consider the Knapsack problem again. For any 0 i n and any s 0, define A(i,s) to be the maximum profit that can be achieved by combinations that have size exactly s and that use only the first i items. 1. Derive a recurrence formula for A(i,s) for any i and s. Briefly justify your answer. 2. Does this recurrence formula lead to an FPTAS for the Knapsack problem? If so, describe how it can be done and justify your answer. If not, describe your reason

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