Starting Out with Java: From Control Structures through Data Structures (3rd Edition)
Starting Out with Java: From Control Structures through Data Structures (3rd Edition)
3rd Edition
ISBN: 9780134038179
Author: Tony Gaddis, Godfrey Muganda
Publisher: PEARSON
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Chapter 17.3, Problem 17.12CP

Explanation of Solution

Complexity of an algorithm:

The complexity of an algorithm solves a computations problem by finding the number of basic steps required for an input.

Proof:

Statement:f(n)is not in O(g(n))

Explanation:

Consider the two algorithms “F” and “G” can be compared for solving a problem which can be done by comparing their complexity functions f(n) and g(n). These two complexity functions can be compared against the ratio f(n)g(n).

The complexity functions can be compared if there exists a positive constant “K” such that,

 f(n)g(n)Kforalln1

The algorithm “F” is not worse than “K” times “G” for large problems. For this case, it can be given as f(n)is in O(g(n))

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Chapter 17 Solutions

Starting Out with Java: From Control Structures through Data Structures (3rd Edition)

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