   Chapter 11.3, Problem 3ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Suppose an algorithm requires c n 3 operations when performed with an input of size n (where c is a constant). a. How many operations will be required when the input size is increased from m to 2m (where m is a positive integer)? b. By what factor will the number of operations increase when the input size is doubled?c. By what factor will the number of operations increase when the input size is increased by a factor of ten?

To determine

(a)

How many operations will be required when the input size is incresed from m to 2m where m is a positive integers.

Explanation

Given information:

The input size is increased from m to 2m

Concept used:

Number of operation =cm3

Calculation:

When the input size is increased from m to 2m ,

The number of operations to be required

c(2m)3=c8m3=8c<

To determine

(b)

By what factor will the number of operations increase when the input size is doubled?

To determine

(c)

By what factor will the number of operations increase when the input size is increased by a

factor of ten?

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