Question: 5. (15 points) Suppose that n files having lengths Li,L2, , Ln are stored on a tape. If the files are stored in the order

5. (15 points) Suppose that n files having lengths Li,L2, ,

5. (15 points) Suppose that n files having lengths Li,L2, , Ln are stored on a tape. If the files are stored in the order of 11,12, ,'m then the time to retrieve file k sTk-: )| Lij. The average retrieval time is defined as ! . Design a greedy algorithm for determining the order of the n files on a tape so as to minimize the average retrieval time. Show that your algorithm is optimal by stating and proving the greedy choice property and the optimal substructure property

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