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. The programmer runs Algorithm I on a computer for an input size of N = 1000 and measures a running-times T1(1000) = 104 seconds. Estimate what the running time would be if Algorithm I was run on an input size N = 10000, stating the assumptions you have made to perform the calculation. [10%)

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