1. a. Apply the bottom-up dynamic programming algorithm to the followinginstance of the knapsack problem:itemweightvalue13252220311544405550capacity W = 6.b. How many different optimal subsets does the instance of part (a) have?c. In general, how can we use the table generated by the dynamic program-ming algorithm to tell whether there is more than one optimal subset forthe knapsack problem's instance?
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