Question: Let S = {x1, x2, , xn} be a set of distinct non-negative integers. Give a dynamic programming algorithm that gets S as input and
Let S = {x1, x2, , xn} be a set of distinct non-negative integers. Give a dynamic programming algorithm that gets S as input and determines of there is a subset S 0 ? S such that

Your algorithm must be based on an appropriately defined recurrence relation and must be iterative. Derive the run-time of your algorithm. Express run-time as a function of n and N, where N = x1 + x2 + + xn.
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