Question: (c) A programmer has implemented two different algorithms (Algorithm 1 and Algorithm 2) to solve a given problem. After conducting a theoretical analysis, the programmer

(c) A programmer has implemented two different algorithms (Algorithm 1 and Algorithm 2) to solve a given problem. After conducting a theoretical analysis, the programmer establishes that Algorithms 1 and 2 have average running times T, (N) = 0(N3/2) and tz(N) = O(N log10 N), respectively, where N denotes the input problem size. Identify which of the two algorithms is preferable for asymptotically large values of input problem size N, providing a mathematical justification to support your answer. [20%]

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