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Use mathematical induction to show that when n ≥ 2 is an exact power of 2, the solution of the recurrence T(n) = = {²T(n/2) + n if n = 2, 2T (n/2) +n ifn>2 is T(n) = n lgn.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Use mathematical induction to show that when n ≥ 2 is an exact power of 2, the
solution of the recurrence
2
= {²T (m/2)
T(n) =
if n = 2,
2T (n/2) +n ifn > 2
is T(n) = n lgn.

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