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3.34 A linked list contains a cycle if, starting from some node p, following a sufficient number of next links brings us back to node p. p does not have to be the first node in the list. Assume that you are given a linked list that contains N nodes. However, the value of N is unknown. a. Design an O(N) algorithm to determine if the list contains a cycle. You may use O(N) extra space. *b. Repeat part (a), but use only O(1) extra space. (Hint: Use two iterators that are initially at the start of the list, but advance at different speeds.)

3.34 A linked list contains a cycle if, starting from some node p, following a sufficient number of next links brings us back to node p. p does not have to be the first node in the list. Assume that you are given a linked list that contains N nodes. However, the value of N is unknown. a. Design an O(N) algorithm to determine if the list contains a cycle. You may use O(N) extra space. *b. Repeat part (a), but use only O(1) extra space. (Hint: Use two iterators that are initially at the start of the list, but advance at different speeds.)

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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3.34 A linked list contains a cycle if, starting from some node p, following a sufficient number of next links brings us back to node p. p does not have to be the first node in the list. Assume that you are given a linked list that contains N nodes. However, the value of N is unknown. a. Design an O(N) algorithm to determine if the list contains a cycle. You may use O(N) extra space. *b. Repeat part (a), but use only O(1) extra space. (Hint: Use two iterators that are initially at the start of the list, but advance at different speeds.)
Transcribed Image Text:3.34 A linked list contains a cycle if, starting from some node p, following a sufficient number of next links brings us back to node p. p does not have to be the first node in the list. Assume that you are given a linked list that contains N nodes. However, the value of N is unknown. a. Design an O(N) algorithm to determine if the list contains a cycle. You may use O(N) extra space. *b. Repeat part (a), but use only O(1) extra space. (Hint: Use two iterators that are initially at the start of the list, but advance at different speeds.)
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