Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781119278023
Author: Michael T. Goodrich; Roberto Tamassia; Michael H. Goldwasser
Publisher: Wiley Global Education US
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Chapter 4, Problem 53C

Explanation of Solution

Given:

It is given that i=1nlogi=Ω(nlogn).

Proof:

Let us prove the above statement by the following assumption that “n” is even number of integers:

i=1nlog2ii=n/2nlog2ii=n/2nlog2i=i=n/2nlog2n/2=i=n/2n(log2n)(log22)(Note:log2=1)

=i=n/2n(log2

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