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2. (14 pts.) Solve the rod-cutting problem for a rod of length 12 and the following price table. Use the EXTENDED-BOTTOM-UP-CUT-Rod algorithm. In particular: (a)

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2. (14 pts.) Solve the rod-cutting problem for a rod of length 12 and the following price table. Use the EXTENDED-BOTTOM-UP-CUT-Rod algorithm. In particular: (a) Depict the final states of the r and s arrays used by that algorithm. (b) Indicate the distances of the optimal cuts from the left end of the original rod. length: 1 2 3 4 5 6 7 price: 78 18 16 30 12 28 8 9 10 11 12 24 72 40 33 48

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