Question: An algorithm that uses the Divide-and-Conquer strategy has the following recurrence equation: T n =T n 2 +k +T n 2 -k-1 + n where

An algorithm that uses the Divide-and-Conquer strategy has the following recurrence equation:

Tn=Tn2+k+Tn2-k-1+n

where k can be any value between 0 and n2-1.

a) What value of k will result in the best case scenario? What is the asymptotic upper bound in this case?

b) What value of k will result in the worst case scenario? What is the asymptotic upper bound in this case?

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