The subset sum problem can be reliably solved optimally using the dynamic programming algorithm shown below: SubsetSum(n, W) Let B(0, w) = 0 for each w E {0, ..., W} for i ← 1 to n for w← 0 to W if w< w, then B(i, w) else B(i, w) B(i 1,w) max (w; + B(i − 1, ww₁), B(i - 1,w)) - where n is the number of requests, W is the maximum weight constraint, w, i the weight associated with request i, and B is the solution space. You are given a set of requests and their corresponding weights. The maximum weight constraint W is 12.

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