Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 21.2, Problem 5E
Program Plan Intro

To show that the professor’s suspicion is well founded to describe the representation of MAKE-SET, FOUND-SET and UNION operations and these have same running time as described in the section.

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I need a reference page for this question that was answered below. What is the difference between a singly-linked list and a doubly-linked list? In what situation would you use a singly-linked list over a doubly-linked list? In what situation would you use a doubly-linked list over a singly-linked list?   If a node is in a linked list with N nodes, how many nodes will be traversed during a search for the node? Explain the best- and worst-case search scenarios. Explain why a singly-linked list defines a RemoveAfter() function, while a doubly-linked list defines a Remove() function. Could a RemoveAfter() function also be defined for a doubly-linked list? Explain why or why not. Could a Remove() function also be defined for a singly-linked list? Explain why or why not.
Both array lists and linked lists are examples of how a list may be implemented. Discuss a scenario when a linked list might be preferable than a list stored in an array. Explain your reasoning in each situation.
Suppose there are two singly linked lists both of which intersect at some point and become a single linked list. The head or start pointers of both the lists are known, but the intersecting node is unknown. Also, the number of nodes in each of the list before they intersect are unknown and both the list may have it different.  List1 may have  n nodes before it reaches intersection point and  List2 might have  m nodes before it reaches intersection point where  m and  n may be  m =  n,  m >  n or  m <  n. Give an algorithm for finding the merging point.   Hints: A brute force approach would be to compare every pointer in one list with every pointer in another list.  But in this case the complexity would be O(mn)
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