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Al and Bob are arguing about their algorithms. Al claims his O(n logn)-time method is always faster than Bob's O(n2)-time method. To settle the issue, they perform a set of experiments. To Al's dismay, they find that if n< 100, the O(n²)-time algorithm runs faster, and only when n> 100 is the O(nlogn)-time one better. Explain how this is possible.

Al and Bob are arguing about their algorithms. Al claims his O(n logn)-time method is always faster than Bob's O(n2)-time method. To settle the issue, they perform a set of experiments. To Al's dismay, they find that if n< 100, the O(n²)-time algorithm runs faster, and only when n> 100 is the O(nlogn)-time one better. Explain how this is possible.

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...
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Al and Bob are arguing about their algorithms. Al claims his O(nlogn)-time method is always faster than Bob's O(n²)-time method. To settle the issue, they perform a set of experiments. To Al's dismay, they find that if n < 100, the O(n2)-time algorithm runs faster, and only when n > 100 is the O(nlogn)-time one better. Explain how this is possible.
Transcribed Image Text:Al and Bob are arguing about their algorithms. Al claims his O(nlogn)-time method is always faster than Bob's O(n²)-time method. To settle the issue, they perform a set of experiments. To Al's dismay, they find that if n < 100, the O(n2)-time algorithm runs faster, and only when n > 100 is the O(nlogn)-time one better. Explain how this is possible.
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