   Chapter 11.3, Problem 2ES ### 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
1 views

# Suppose an algorithm requires c n 2 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 be required when the input size is increased 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 =cm2

Calculation:

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

Then the number of operation increases from cm2

=c(2m)2

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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