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.Design an O (N ) algorithm to determine if the list contains a cycle. You may use O (N ) extra space.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.)

Introduction: We may utilize pointers in C and C++, which are essentially address variables for…

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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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.

Design an O (N ) algorithm to determine if the list contains a cycle. You may use O (N ) extra space.
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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