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You are solving the 01 Knapsack problem using a Dynamic Programming approach, with the following recurrence relations: OPT(i,W)=0OPT(i,W)=OPT(i1,W)OPT(i,W)=max(OPT(i1,W),vi+OPT(i1,Wwi))ifi=0ifwi>Wotherwise Here, OPT (i,W) represents the optimal value
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