C How to Program (8th Edition)
8th Edition
ISBN: 9780133976892
Author: Paul J. Deitel, Harvey Deitel
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 6.25E
(Knight’s Tour: Brute-Force Approaches) In Exercise 6.24 we developed a solution to the Knights 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 many problems with sheer computer power and relatively unsophisticated algorithms. Let’s call this approach brute-force problem solving.
- Use random number generation to enable the knight to walk around the chess board (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 1,000 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 a 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 table 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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Artificial Intelligence (Part - 1)
====================
The Towers of Hanoi is a famous problem for studying recursion in computer science and searching in artificial intelligence. We start with N discs of varying sizes on a peg (stacked in order according to size), and two empty pegs. We are allowed to move a disc from one peg to another, but we are never allowed to move a larger disc on top of a smaller disc. The goal is to move all the discs to the rightmost peg (see figure). To solve the problem by using search methods, we need first formulate the problem. Supposing there are K pegs and N disk.
(1) Propose a state representation for the problem?
Chapter 6 Solutions
C How to Program (8th Edition)
Ch. 6 - Fill in the blanks in each of the following: C...Ch. 6 - State which of the following are true and which...Ch. 6 - Write statements to accomplish each of the...Ch. 6 - Consider a 2-by-5 integer array t. Write a...Ch. 6 - (Sales Commissions) Use a one-dimensional array to...Ch. 6 - (Bubble Sort) The bubble sort presented in Fig....Ch. 6 - Write loops that perform each of the following...Ch. 6 - Prob. 6.13ECh. 6 - (Mean, Median and Mode Program Modifications)...Ch. 6 - (Duplicate Elimination) Use a one-dimensional...
Ch. 6 - Label the elements of 3-by-5 two-dimensional array...Ch. 6 - What does the following program do?Ch. 6 - What does the following program do?Ch. 6 - (Dice Rolling) Write a program that simulates the...Ch. 6 - (Game of Craps) Write a program that runs 1000...Ch. 6 - Prob. 6.21ECh. 6 - (Total Sales) Use a two-dimensional array to solve...Ch. 6 - (Turtle Graphics) The Logo language made the...Ch. 6 - Prob. 6.24ECh. 6 - (Knights Tour: Brute-Force Approaches) In Exercise...Ch. 6 - (Eight Queens) Another puzzler for chess buffs is...Ch. 6 - (Eight Queens: Brute-Force Approaches) In this...Ch. 6 - (Duplicate Elimination) In Chapter 12, we explore...Ch. 6 - (Knights Tour: Closed Tour Test) In the Knights...Ch. 6 - (The Sieve of Eratosthenes) A prime integer is any...Ch. 6 - Prob. 6.31RECh. 6 - (Linear Search) Modify the program of Fig. 6.18 to...Ch. 6 - (Binary Search) Modify the program of Fig. 6.19 to...Ch. 6 - Prob. 6.35RECh. 6 - Prob. 6.36RECh. 6 - Prob. 6.37RE
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