Question: Modified knapsack-problem: There are coins of value 1, 5, 8, and 14 cents and weights 1, 1.5, 2, and 4 grams, respectively. Design an algorithm

Modified knapsack-problem:

There are coins of value 1, 5, 8, and 14 cents and weights 1, 1.5, 2, and 4 grams, respectively. Design an algorithm that finds the smallest total weight of coins required to make n cents. For n = 15, the answer would be 4.5 = 1.5 + 1.5 + 1.5 because 15 = 5 + 5 + 5. Your algorithm should run in time O(n).

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