Question: (4 points). We consider the merge sort algorithm that uses a divide-and-conquer design strategy. The running time of a merge sort algorithm is given below:

(4 points). We consider the merge sort algorithm that uses a

(4 points). We consider the merge sort algorithm that uses a divide-and-conquer design strategy. The running time of a merge sort algorithm is given below: T(n) if n = 2 if n = 2K, + n K>1 Prove that the expression giving the complexity of the merge sort algorithm with which you are already familiar is also a solution to the above recurrence. Hint: use mathematical induction

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