Consider the recurrence T (n) = 3 · T (n/2) + n. Use the recursion tree...

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Question

Consider the recurrence T (n) = 3 · T (n/2) + n.

Use the recursion tree method to guess an asymptotic upper bound for T (n). Show your work.

• Prove the correctness of your guess by induction. Assume that values of n are powers of 2.

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