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There are n items in a store. For each item i=1,2,...,n the weight of the item...

There are n items in a store. For each item i=1,2,...,n the weight of the item is wi and the value of the item is vi. A thief is carrying a knapsack of weight W. In this version of a problem the items can be broken into smaller pieces, so the thief may decide to carry only a fraction xi of object i, where 0≤xi ≤1. Item i contributes xiwi to the total weight in the knapsack, and xivi to the value of the load. Find the maximum value that the thief can fill in his knapsack. Part A: (20%)Write pseudocode for the algorithm to solve this problem. Part B: (5%)What is the complexity of this algorithm? Part C: (5%)What is the archetype of this algorithm?

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