Question: 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(A)

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(A) - {2T() +- n if n = 2 if n=2K, K> 1 Prove that the expression giving the complex ity 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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We know that time complexity of merge sort its n log Tn 5 2 12 Tn n if if n 2 Let us recurrence is ... View full answer

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