Problem Solving with C++ (9th Edition)
9th Edition
ISBN: 9780133591743
Author: Walter Savitch
Publisher: PEARSON
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Chapter 7, Problem 14PP
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Suppose that the MinGap method below is added to the Treap class on Blackboard.
public int MinGap ( )
Returns the absolute difference between the two closest numbers in the treap. For example, if the
numbers are {2, 5, 7, 11, 12, 15, 20} then MinGap would returns 1, the absolute difference between 11
and 12.
Requirements
1. Describe in a separate Design Document what additional data is needed and how that data is used to
support an time complexity of O(1) for the MinGap method. Show as well that the methods Add and
Remove can efficiently maintain this data as items are added and removed. (6 marks)
2. Re-implement the methods Add and Remove of the Treap class to maintain the augmented data in
expected O(log n) time. (6 marks)
3. Implement the MinGap method. (4 marks)
4. Test your new method thoroughly. Include your test cases and results in a Test Document. (4 marks)
Suppose that the two Rank methods below are added to the Skip List class on Blackboard.
public int Rank (T item)
Returns the rank of the given item.
public T Rank(int i)
Returns the item with the given rank i.
Requirements
1. Describe in a separate Design Document what additional data is needed and how that data is used to
support an expected time complexity of O(log n) for each of the Rank methods. Show as well that the
methods Insert and Remove can efficiently maintain this data as items are inserted and removed. (7
marks)
2. Re-implement the methods Insert and Remove of the Skip List class to maintain the augmented data in
expected O(log n) time. Using the Contains method, ensure that added items are distinct. (6 marks)
3. Implement the two Rank methods. (8 marks)
4. Test your new methods thoroughly. Include your test cases and results in a Test Document. (4 marks)
Suppose that the two Rank methods below are added to the Skip List class on Blackboard.
public int Rank (T item)
Returns the rank of the given item.
public T Rank(int i)
Returns the item with the given rank i.
Requirements
1. Describe in a separate Design Document what additional data is needed and how that data is used to
support an expected time complexity of O(log n) for each of the Rank methods. Show as well that the
methods Insert and Remove can efficiently maintain this data as items are inserted and removed. (7
marks)
2. Re-implement the methods Insert and Remove of the Skip List class to maintain the augmented data in
expected O(log n) time. Using the Contains method, ensure that added items are distinct. (6 marks)
3. Implement the two Rank methods. (8 marks)
4. Test your new methods thoroughly. Include your test cases and results in a Test Document. (4 marks)
Chapter 7 Solutions
Problem Solving with C++ (9th Edition)
Ch. 7.1 - Prob. 1STECh. 7.1 - In the array declaration double score(5); state...Ch. 7.1 - Identity any errors in the following array...Ch. 7.1 - What is the output of the following code? char...Ch. 7.1 - What is the output of the following code? double a...Ch. 7.1 - What is the output of the following code? int i,...Ch. 7.1 - Prob. 7STECh. 7.1 - Suppose we expect the elements of the array a to...Ch. 7.1 - Prob. 9STECh. 7.1 - Suppose you have the following array declaration...
Ch. 7.2 - Consider the following function definition: void...Ch. 7.2 - Prob. 12STECh. 7.2 - Write a function definition for a function called...Ch. 7.2 - Consider the following function definition: void...Ch. 7.2 - Insert const before any of the following array...Ch. 7.2 - Write a function named outOfOrder that takes as...Ch. 7.3 - Write a program that will read up to ten...Ch. 7.3 - Write a program that will read up to ten letters...Ch. 7.3 - Following is the declaration for an alternative...Ch. 7.4 - Prob. 20STECh. 7.4 - Write code that will fill the array a (declared...Ch. 7.4 - Prob. 22STECh. 7 - Write a function named firstLast2 that takes as...Ch. 7 - Write a function named countNum2s that takes as...Ch. 7 - Write a function named swapFrontBack that takes as...Ch. 7 - The following code creates a small phone book. An...Ch. 7 - There are three versions of this project. Version...Ch. 7 - Hexadecimal numerals are integers written in base...Ch. 7 - Solution to Programming Project 7.3 Write a...Ch. 7 - Prob. 4PPCh. 7 - Write a program that reads in a list of integers...Ch. 7 - Prob. 6PPCh. 7 - An array can be used to store large integers one...Ch. 7 - Write a program that will read a line of text and...Ch. 7 - Write a program to score five-card poker hands...Ch. 7 - Write a program that will allow two users to play...Ch. 7 - Write a program to assign passengers seats in an...Ch. 7 - Prob. 12PPCh. 7 - The mathematician John Horton Conway invented the...Ch. 7 - Redo (or do for the first time) Programming...Ch. 7 - Redo (or do for the first time) Programming...Ch. 7 - A common memory matching game played by young...Ch. 7 - Your swim school has two swimming instructors,...Ch. 7 - Your swim school has two swimming instructors,...Ch. 7 - Prob. 19PPCh. 7 - The Social Security Administration maintains an...
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