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ntervals on of all smallest .n] and V

ntervals on of all smallest .n] and V

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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3. Let X be a set of n intervals on the real line. We say that a subset of intervals Y CX covers X if the union of all intervals in Y is equal to the union of all intervals in X. The size of a cover is just the number of intervals. Describe and analyze an efficient algorithm to compute the smallest cover of X. Assume that your input consists of two arrays L[1..n] and R[1..n], representing the left and right endpoints of the intervals in X. If you use a greedy algorithm, you must prove that it is correct. A set of intervals, with a cover (shaded) of size 7.
Transcribed Image Text:3. Let X be a set of n intervals on the real line. We say that a subset of intervals Y CX covers X if the union of all intervals in Y is equal to the union of all intervals in X. The size of a cover is just the number of intervals. Describe and analyze an efficient algorithm to compute the smallest cover of X. Assume that your input consists of two arrays L[1..n] and R[1..n], representing the left and right endpoints of the intervals in X. If you use a greedy algorithm, you must prove that it is correct. A set of intervals, with a cover (shaded) of size 7.
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