Question: Answer both 8. Use mathematical induction to show that when n is an exact power of 2, the solution of the recurrence T(n)- [2 2T

Answer both

8. Use mathematical induction to show that when n is an exact power of 2, the solution of the recurrence T(n)- [2 2T (n2)+n ifn 2k, fork>1 is T(n) = n lg n' (10 points) ve the following theorem. "Any comparison sort algorithm requires (n lg n) comparisons in the worst case." (10 points) 9. Prov

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