C++ How to Program (10th Edition)
10th Edition
ISBN: 9780134448237
Author: Paul J. Deitel, Harvey Deitel
Publisher: PEARSON
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Chapter 7, Problem 7.23E
(Knight's Tour: Brute Forty Approaches ) In Exercise 7.22, we developed a solution to the Knight's Tour problem. The approach used, called the "'accessibility heuristic," generates many solutions and executes efficiently.
As computers continue increasing in power, we'll be able to solve more problems with sheer computer power and relatively unsophisticated algorithms. This is the "brute force" approach to problem solving.
- Use random number generation to enable the knight to walk around the chessboard (in its legitimate L—shaped moves, of course) at random, Your
program should run one tour and print the final chessboard. How far did the knight get? - Most likely, the preceding program produced a relatively short tour. Now modify your program to attempt 1000 tours. Use a one-dimensional array to keep track of the number of tours of each length. When your program finishes attempting the 1000 tours, it should print this information in near tabular format. What was the best result?
- Most likely, the preceding program gave you some "respectable" tours, but no full tours. NOW "pull all the stops out" and simply let your program run until it produces a full Tour. [Caution. This version of the program could run for hours on a powerful computer. ] Once again, keep a table of the number of tours of each length, and print this when the first full tour is found. How many tours did your program attempt before producing a full tour? How much time did it take?
- Compare the brute force version Of the Knight's Tour with the accessibility heuristic version. Which required a more careful study of the problem? Which
algorithm was more difficult to develop? Which required more computer power? Could we be certain (in advance) of obtaining a full tour with the accessibility heuristic approach? Could we be certain (in advance) of obtaining a full tour with the brute force approach? Argue the pros and cons of brute-force problem-solving in general.
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Chapter 7 Solutions
C++ How to Program (10th Edition)
Ch. 7 - Exercises 7.6(Fill in the Blanks) Fill in the...Ch. 7 - (True or False) Determine whether each of the...Ch. 7 - (Write C++ Statements) Write C++ statements to...Ch. 7 - (Two-Dimensional array Questions) Consider a...Ch. 7 - (Salesperson Salary Ranges) Use a one-dimensional...Ch. 7 - (One-Dimensional array Questions) Write statements...Ch. 7 - (Find the Errors) Find the error(s) in each of the...Ch. 7 - (Duplicate Elimination with array) Use a...Ch. 7 - Prob. 7.14ECh. 7 - Prob. 7.15E
Ch. 7 - (Dice Rolling) Write a program that simulates...Ch. 7 - ( What Does This Code Do?) What does the following...Ch. 7 - (Craps Game Modification) Modify the program of...Ch. 7 - (Converting vector Example of Section 7.10 to...Ch. 7 - Prob. 7.20ECh. 7 - (Sales Summary) Use a two-dimensional array to...Ch. 7 - (Knight's Tour) One of the more interesting...Ch. 7 - (Knight's Tour: Brute Forty Approaches ) In...Ch. 7 - (Eight Queens) Another puzzler for chess buffs is...Ch. 7 - (Eight Queens: Brute Force Approaches) In this...Ch. 7 - Prob. 7.26ECh. 7 - (The Sieve of Eratosthenes) A prime integer is any...Ch. 7 - Prob. 7.28RECh. 7 - (Eight Queens) Modify the Eight Queens program you...Ch. 7 - (Print an array) Write a recursive function...Ch. 7 - Prob. 7.31RECh. 7 - Prob. 7.32RECh. 7 - (Maze Traversal) The grid of hashes (#) and dots...Ch. 7 - Prob. 7.34RECh. 7 - Making a Difference 7.35 (Polling) The Internet...
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