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3. Given n items {1,.., n), and each item i has a nonnegative weight wi and a distinct value v. We can carry a maximum

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3. Given n items {1,.., n), and each item i has a nonnegative weight wi and a distinct value v. We can carry a maximum weight of W in a knapsack. The items are blocks of cheeses so that for each item i, we can take only a fraction xi of it, where 0 x, 1 . Then item i contributes weight X,Wi and value x v in the knapsack. The continuous knapsack problem asks you to take a fraction of each item to maximize the total value, subject to the total weight does not exceed W. The original knapsack problem is equivalent to say xi is either 0 or 1 depends whether the item is in or not. Give an O(n) algorithm for the continuous knapsack

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