C How to Program (8th Edition)
8th Edition
ISBN: 9780133976892
Author: Paul J. Deitel, Harvey Deitel
Publisher: PEARSON
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Chapter 6, Problem 6.26E
(Eight Queens) Another puzzler for chess buffs is the Eight Queens problem. Simply stated: Is it possible to place eight queens on an empty chessboard so that no queen is “attacking” any other—that is, so that no two queens are in the same row, the same column, or along the same diagonal? Use the kind of thinking developed in Exercise 6.24 to formulate a heuristic for solving the Eight Queens problem. Run your
Once these “elimination numbers” are placed in all 64 squares, an appropriate heuristic might be: Place the next queen in the square with the smallest elimination number. Why is this strategy intuitively appealing?
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Tiling: The precondition to the problem is that you are given threeintegers n, i, j, where i and j are in the range 1 to 2n. You have a 2n by 2n squareboard of squares. You have a sufficient number of tiles each with the shape . Your goalis to place nonoverlapping tiles on the board to cover each of the 2n × 2n tiles except forthe single square at location i, j. Give a recursive algorithm for this problem in whichyou place one tile yourself and then have four friends help you. What is your base case?
Artificial intelligence (Question - 6)
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One variation on the game of nim is described in Luger. The game begins with a single pile of stones. The move by a player consists of dividing a pile into two piles that contain an unequal number of stones. For example, if one pile contains six stones, it could be subdivided into piles of five and one, or four and two, but not three and three. The first player who cannot make a move loses the game.(6.1) Draw the complete game tree for this version of Nim if the start state consists of six stones.(6.2) Perform a minimax evaluation for this game. Let 1 denote a win and 0 a loss.
One variation on the game of nim is described in Luger. The game begins with a single pile of stones. The
move by a player consists of dividing a pile into two piles that contain an unequal number of stones. For
example, if one pile contains six stones, it could be subdivided into piles of five and one, or four and two, but
not three and three. The first player who cannot make a move loses the game.
(5.1) Draw the complete game tree for this version of Nim if the start state consists of six stones.
(5.2) Perform a minimax evaluation for this game. Let 1 denote a win and 0 a loss.
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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