Question: 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.

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.

Step by Step Solution

★★★★★

3.29 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

b Use two iterators p and q both initially at the ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1486-C-S-A(309).docx

120 KBs Word File

Students Have Also Explored These Related Algorithms Questions!

1. What is an advantage of a linked list over an array? A. Linked lists take up less space per element B. Linked lists can grow dynamically to hold individual new elements without copying existing...

Fill in the blanks in each of the following statements: a) A(n) ___________class is used to define nodes that form dynamic data structures, which can grow and shrink at execution time. b) Operator...

Assume that a singly linked list is implemented with a header node, but no tail node, and that it maintains only a reference to the header node. Write a class that includes methods to a. Return the...

Question 3 (20 pints) in c++ Solve the exercise 3.34 from the book: 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....

Base code: Exercise 2. (30 points) The tortoise and the hare. A popular interview question is to describe an algorithm for testing if a singly linked list contains a cycle. Note that you cannot...

Fill in code on right in c++ and follow all constraints and directions. !, int cycle-length(node* head) { // fill in code here Linked Lists are typically composed of node objects chained together via...

in c++ The Node class must be represented as a template. The Node class will require these private fields. T data: The data to hold in the Node Node * next: A pointer to the next Node (if any) in the...

Problem: Create a C program that does the following: reads real numbers stored as ASCII text, one number per line from a file o numbers may be positive or negative o number may or may not have an...

Carlos takes out a loan for $10,400, at 8% ordinary interest. If the amount of interest is $249.60, what is the time period (in days) of the loan? Round any fraction to the next higher day.

The Captian company began operations on January 1, 2016. In 2016, Captain's sales were $400,000, and payments arising out of warranty obligations were $18,000. Required : a. Assume that this is an...

how would you check the resources and targets of a displayed transactions in quickbooks online?

10. At relatively low levels of output, the firms average fixed cost dominates its average total cost, but at relatively high levels of output, the firms average variable cost dominates. Why?

How fast can a cable user receive data if the network is otherwise idle?

An upper-layer packet is split into 10 frames, each of which has an 80 percent chance of arriving undamaged. If no error control is done by the data link protocol, how many times must the message be...

The following character encoding is used in a data link protocol: A: 01000111; B: 11100011; FLAG: 01111110; ESC: 11100000 Show the bit sequence transmitted (in binary) for the four-character frame: A...

McGilla Golf has decided to sell a new line of golf clubs. The clubs will sell for $810 per set and have a variable cost of $370 per set. The company has spent $230,000 for a marketing study that...

Gina and George are a charitably inclined couple. George, age 6 8 , is a personal injury lawyer and makes between $ 7 5 0 , 0 0 0 and $ 1 , 5 0 0 , 0 0 0 per year. Gina , age 6 9 , runs a craft...

Cantel Company produces cleaning compounds for both commercial and household customers. Some of these products are produced as part of a joint manufacturing process. For example, GR37, a coarse...