(a). Explain Big O notation; and give its relevance in Algorithm analysis. (b). Two algorithms A, B sort the same problem. When you go through each algorithm and break them down into their primitive operations, each can be represented as follows: A = 2n + 100n² + 26n + 50 B = 7n4 + 22n² + nlogn + 200 For very large values of n, which of the algorithms A or B will run in the shortest time to solve the problem and why? (c). (i). Distinguish between Best-case running time and Worst-case running time of an algorithm. (ii). Give practical examples to illustrate your answer for (i) above.

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...
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Question 3
(a). Explain Big O notation; and give its relevance in
Algorithm analysis.
(b). Two algorithms A, B sort the same problem. When you go
through each algorithm and break them down into their primitive
operations, each can be represented as follows:
A = 2n7 + 100n“ + 26n + 50
B = 7n4 + 22n² + nlogn + 200
For very large values of n, which of the algorithms A or B will run
in the shortest time to solve the problem and why?
(c). (i). Distinguish between Best-case running time and Worst-case
running time of an algorithm.
(ii). Give practical examples to illustrate your answer for (i) above.
(d). Insert 20 into the following sorted list. Show your steps clearly.
3, 7, 21, 34, 46, 69, 88
Transcribed Image Text:Question 3 (a). Explain Big O notation; and give its relevance in Algorithm analysis. (b). Two algorithms A, B sort the same problem. When you go through each algorithm and break them down into their primitive operations, each can be represented as follows: A = 2n7 + 100n“ + 26n + 50 B = 7n4 + 22n² + nlogn + 200 For very large values of n, which of the algorithms A or B will run in the shortest time to solve the problem and why? (c). (i). Distinguish between Best-case running time and Worst-case running time of an algorithm. (ii). Give practical examples to illustrate your answer for (i) above. (d). Insert 20 into the following sorted list. Show your steps clearly. 3, 7, 21, 34, 46, 69, 88
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