Question: Please show detailed steps, thank you! Problem 4 (20 points). Given the recurrence relation of the running time for a recursive algorithm, prove by induction

Please show detailed steps, thank you! Problem 4 (20 points). Given

Please show detailed steps, thank you!

Problem 4 (20 points). Given the recurrence relation of the running time for a recursive algorithm, prove by induction that T(n) = O(nlog(n)), i.e. T(n) Scnlogs) for some positive constants c and initial input na T(n) = 2T(n/3) + n, T(3) = 10 n> 3

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