Question: 3. (U & G-required) [ 30 points] a) If it is known that the running time for algorithm A is O(nlgn) and that the running

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3. (U \& G-required) [ 30 points] a) If it is known that the running time for algorithm A is O(nlgn) and that the running time for algorithm B is O(n3). What does this statement imply about the relative performance of the algorithms? Explain your answer. b) If it is known that the running time for algorithm A is (nlgn) and that the running time for algorithm B is (n3). What does this statement imply about the relative performance of the algorithms? Explain your answer. c) If it is known that the running time for algorithm A is (nlgn) and that the running time for algorithm B is O(n3). What does this statement imply about the relative performance of the algorithms? Explain your

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