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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Question
Chapter 10, Problem 3P
(a)
Program Plan Intro
To argue that COMPACT-LIST-SEARCH ( L , n , k ) returns same answer for both for and while loops and total number of iterations is at least t
(b)
Program Plan Intro
To argue that expected running time of COMPACT-LIST-SEARCH’ ( L , n , k , t ) is
(c)
Program Plan Intro
To show that
(d)
Program Plan Intro
To show that
(e)
Program Plan Intro
To prove that
(f)
Program Plan Intro
To show that COMPACT-LIST-SEARCH’ ( L , n , k , t ) runs in
(g)
Program Plan Intro
To conclude that COMPACT-LIST-SEARCH runs in
(h)
Program Plan Intro
To argue that random skips do not necessarily help asymptotically when list contains repeated key values.
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Q# Is a doubly-linked list more or less efficient than a singly-linked list when we consider the worse-case scenario (Big-O complexity) for the following operations:
Searching for an item in our list
Inserting an item at the beginning of our list (prepend)
Deleting an item at the beginning of our list (pop)
Group of answer choices
A. The extra pointer in the doubly-linked list makes all of these operations less efficient because we can traverse in either direction.
B. The doubly-linked list and the singly-linked list actually have the same complexity for these operations.
C. The extra pointer in the doubly-linked list makes all of these operations more efficient because we can traverse in either direction.
Suppose you are given a partially-filled sorted linked list and a partially-filled unsorted linked list of the same size. Assume it is a singly linked list (no back edges).Describe the efficiency of searching for a value within each list and deleting it, including the order of such an operation.
Assume that the values A through H are stored in a self-organizing list, initially in ascending order. Consider the three self-organizing list heuristics: count, move-to-front, and transpose. For count, assume that the record is moved ahead in the list passing over any other record that its count is now greater than. For each, show the resulting list and the total number of comparisons required resulting from the following series of accesses:
D H H G H E G H G H E C E H G:
For each of the three self-organizing list heuristics (count, move-to-front, and transpose), describe a series of record accesses for which it would require the greatest number of comparisons of the three.
Chapter 10 Solutions
Introduction to Algorithms
Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3E
Ch. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3P
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