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Suppose we have n pieces of candy with weights W[1 .. n] (in ounces) that we want to load into boxes. Our goal is to load the candy into as many boxes as possible, so that each box contains at least L ounces of candy. Describe an efficient 2-approximation algorithm for this problem. Prove that the approximation ratio of your algorithm is 2. [Hint: First consider the case where every piece of candy weighs less than L ounces.]

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Suppose we have n pieces of candy with weights W[1 .. n] (in ounces) that we want to load into boxes...

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