The SELECT algorithm uses median of sub-medians as the pivot (let us call it s). Show that if n ≥ 140, then at least ⌈n/4⌉ elements are greater than p and at least ⌈n/4⌉ elements are less than p. Note that, in the lecture, we showed that the lower bounds of these two numbers are 3 ∗ (⌈ m/2 ⌉ − 2) with m = n/5
The SELECT algorithm uses median of sub-medians as the pivot (let us call it s). Show that if n ≥ 140, then at least ⌈n/4⌉ elements are greater than p and at least ⌈n/4⌉ elements are less than p. Note that, in the lecture, we showed that the lower bounds of these two numbers are 3 ∗ (⌈ m/2 ⌉ − 2) with m = n/5
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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