Homework Help is Here – Start Your Trial Now!
Engineering
Computer Engineering
Write Big-O notation, and show proof with steps that show their time complexity function

Write Big-O notation, and show proof with steps that show their time complexity function

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
See similar textbooks
icon
Related questions
Question

Write Big-O notation, and show proof with steps that show their time complexity function

7. for (i = 1; i <= n; i ++) { for (j = 2i; j <= n; j++) { // 3 assignment instructions } }
Transcribed Image Text:7. for (i = 1; i <= n; i ++) { for (j = 2i; j <= n; j++) { // 3 assignment instructions } }
7. for (i = 1; i <= n; i ++) { for (j 2i; j <= n; j++) { %3D // 3 assignment instructions } } Hint: j = 2*i → n, j++; 2i, (2i+1), (2i+2),..., n → #iterations = (n-2i)+1 i=1, j== (n - 2(1) + 1) (n+1 2 (1)) i=2, j== (n+1 2 (2)) i=3, j== (n+1 2 (3)) i=n/2, j== (n+1 2 (n/2)) + f (n) = 3 x ( (n+1) *n/2 2* (1+2+3+...+ n/2) ) = 3 x ( (n+1) *n/2 2* ( n/2 * (n/2 + 1)/2 )
Transcribed Image Text:7. for (i = 1; i <= n; i ++) { for (j 2i; j <= n; j++) { %3D // 3 assignment instructions } } Hint: j = 2*i → n, j++; 2i, (2i+1), (2i+2),..., n → #iterations = (n-2i)+1 i=1, j== (n - 2(1) + 1) (n+1 2 (1)) i=2, j== (n+1 2 (2)) i=3, j== (n+1 2 (3)) i=n/2, j== (n+1 2 (n/2)) + f (n) = 3 x ( (n+1) *n/2 2* (1+2+3+...+ n/2) ) = 3 x ( (n+1) *n/2 2* ( n/2 * (n/2 + 1)/2 )
Expert Solution
Step 1

Here we  drive simple method to find time complexity:

we not drive look above. we use hint and drive it.

the time complexity is O(n^2).

 

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY
SEE MORE TEXTBOOKS