Introduction to Java Programming and Data Structures, Comprehensive Version Plus MyProgrammingLab with Pearson EText -- Access Card Package
11th Edition
ISBN: 9780134694511
Author: Liang, Y. Daniel
Publisher: Pearson Education Canada
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Chapter 18, Problem 18.34PE
(Game: Eight Queens) The Eight Queens problem is to find a solution to place a queen in each row on a chessboard such that no two queens can attack each other. Write a
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2, Towers of Hanoi Problem. (10 points)
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. Answer the following questions.
(1) Determine a state representation for this problem. (4points)
(2) What is the size of the state space? (3 points)
(3) Supposing K=3, N=4, what is the start state by using your proposed
state representation method and what is the goal state? (3 points)
Exercise 1: (Design of algorithm to find greatest common divisor)
In mathematics, the greatest common divisor (gcd) of two or more integers
is the largest positive integer that divides each of the integers.
For example, the gcd of 8 and 12 is 4. Why?
Divisors of 8 are 1, 2, 4, 8.
Divisors of 12 are 1, 2, 4, 6, 12
Thus, the common divisors of 8 and 12 are 1, 2, 4.
Out of these common divisors, the greatest one is 4. Therefore, the greatest
common divisor (gcd) of 8 and 12 is 4.
Write a programming code for a function FindGCD(m,n) that find the greatest
common divisor. You can use any language of Java/C++/Python/Octave.
Find GCD Algorithm:
Step 1 Make an array to store common divisors of two integers m, n.
Step 2 Check all the integers from 1 to minimun(m,n) whether they divide
both m, n. If yes, add it to the array.
Step 3 Return the maximum number in the array.
Complete the following program Countdown.java. This program uses recursion to count down from a user input number.
The output should be exactly like what is in the picture below. The code should be completed in the spots where it states "complete here"
Chapter 18 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version Plus MyProgrammingLab with Pearson EText -- Access Card Package
Ch. 18.2 - What is a recursive method? What is an infinite...Ch. 18.2 - Prob. 18.2.2CPCh. 18.2 - Show the output of the following programs and...Ch. 18.2 - Prob. 18.2.4CPCh. 18.2 - Prob. 18.2.5CPCh. 18.2 - Write a recursive mathematical definition for...Ch. 18.3 - Prob. 18.3.1CPCh. 18.3 - What is wrong in the following methods?Ch. 18.3 - Prob. 18.3.3CPCh. 18.4 - Describe the characteristics of recursive methods.
Ch. 18.4 - Prob. 18.4.2CPCh. 18.4 - Prob. 18.4.3CPCh. 18.5 - Prob. 18.5.1CPCh. 18.5 - Prob. 18.5.2CPCh. 18.5 - What is a recursive helper method?Ch. 18.6 - Prob. 18.6.1CPCh. 18.6 - How does the program get all files and directories...Ch. 18.6 - How many times will the getSize method be invoked...Ch. 18.6 - Will the program work if the directory is empty...Ch. 18.6 - Will the program work if line 20 is replaced by...Ch. 18.6 - Will the program work if lines 20 and 21 are...Ch. 18.7 - Prob. 18.7.1CPCh. 18.8 - Prob. 18.8.1CPCh. 18.8 - Prob. 18.8.2CPCh. 18.8 - How many times is the displayTriangles method...Ch. 18.8 - Prob. 18.8.4CPCh. 18.8 - Prob. 18.8.5CPCh. 18.9 - Which of the following statements are true? a. Any...Ch. 18.9 - Prob. 18.9.2CPCh. 18.10 - Identify tail-recursive methods in this chapter.Ch. 18.10 - Rewrite the fib method in Listing 18.2 using tail...Ch. 18 - Prob. 18.1PECh. 18 - Prob. 18.2PECh. 18 - (Compute greatest common divisor using recursion)...Ch. 18 - (Sum series) Write a recursive method to compute...Ch. 18 - (Sum series) Write a recursive method to compute...Ch. 18 - (Sum series) Write a recursive method to compute...Ch. 18 - (Fibonacci series) Modify Listing 18.2,...Ch. 18 - Prob. 18.8PECh. 18 - (Print the characters in a string reversely) Write...Ch. 18 - (Occurrences of a specified character in a string)...Ch. 18 - Prob. 18.11PECh. 18 - (Print the characters in a string reversely)...Ch. 18 - (Find the largest number in an array) Write a...Ch. 18 - (Find the number of uppercase letters in a string)...Ch. 18 - Prob. 18.15PECh. 18 - (Find the number of uppercase letters in an array)...Ch. 18 - (Occurrences of a specified character in an array)...Ch. 18 - (Tower of Hanoi) Modify Listing 18.8,...Ch. 18 - Prob. 18.19PECh. 18 - (Display circles) Write a Java program that...Ch. 18 - (Decimal to binary) Write a recursive method that...Ch. 18 - (Decimal to hex) Write a recursive method that...Ch. 18 - (Binary to decimal) Write a recursive method that...Ch. 18 - (Hex to decimal) Write a recursive method that...Ch. 18 - Prob. 18.25PECh. 18 - (Create a maze) Write a program that will find a...Ch. 18 - (Koch snowflake fractal) The text presented the...Ch. 18 - (Nonrecursive directory size) Rewrite Listing...Ch. 18 - (Number of files in a directory) Write a program...Ch. 18 - (Game: Knights Tour) The Knights Tour is an...Ch. 18 - (Game: Knights Tour animation) Write a program for...Ch. 18 - (Game: Eight Queens) The Eight Queens problem is...Ch. 18 - Prob. 18.35PECh. 18 - (Sierpinski triangle) Write a program that lets...Ch. 18 - (Hilbert curve) The Hilbert curve, first described...Ch. 18 - (Recursive tree) Write a program to display a...Ch. 18 - Prob. 18.39PE
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