Use substitution to show T(n) = 4T(n/4)+n is T(n) is both in O(n?) and O(n log n)- note for O(n?) will need to subtract off a lower-order term (e.g. n2 is a lower-order term to n³) to make it work. Explain why it can be in both.

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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Use substitution to show T(n) = 4T(n/4)+n is T(n) is both in O(n²) and O(n log n)- note for
O(n?) will need to subtract off a lower-order term (e.g. n² is a lower-order term to n³) to make it work.
%3D
Explain why it can be in both.
Transcribed Image Text:Use substitution to show T(n) = 4T(n/4)+n is T(n) is both in O(n²) and O(n log n)- note for O(n?) will need to subtract off a lower-order term (e.g. n² is a lower-order term to n³) to make it work. %3D Explain why it can be in both.
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