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You are given a knapsack with capacity T=7 and the following three items: (Item 1) weight w(1)=4, value v(1)=5 (Item 2 ) weight w(2)=3, value

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You are given a knapsack with capacity T=7 and the following three items: (Item 1) weight w(1)=4, value v(1)=5 (Item 2 ) weight w(2)=3, value v(2)=4 (Item 3) weight w(3)=4, value v(3)=6 Let OPT(i,S) be the value of the optimal solution to the knapsack problem with items chosen from {1,,i}, and a knapsack capacity of S. For the next set of questions you will have to compute some of the values OPT(i,S). Each answer should contain only one number and nothing else. First, compute OPT(2,4). Compute OPT(2,7). Compute OPT(3,5). Compute OPT(3,7)

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