5. Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for n<2. Make your bounds as tight as possible, and justify answers. a. T(n) = 9T () + n² = 0(n²) b. T(n) = T(Vn) + 4

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Rod Cutting

A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exponential time complexity. So there is a need to figure out a better method than this.