Problem Solving with C++ (9th Edition)
Problem Solving with C++ (9th Edition)
9th Edition
ISBN: 9780133591743
Author: Walter Savitch
Publisher: PEARSON
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Chapter 14, Problem 5PP
Program Plan Intro

Towers of Hanoi

Program plan:

  • Include required header file.
  • Declare the function for tower of Hanoi.
  • Define main function.
    • Declare variable for “n”.
    • Initializes three post names in “char” data type.
    • Create prompt statement for disks.
    • Read the number of disks from user.
    • Call the function “towersOfHanoi” with four parameters “n”, “post1”, “post2” and “post3”.
  • Define “towersOfHanoi” function
    • If the total count is equal to “1”, then display the movement of disk from given source post to destination post.
    • Otherwise, recursively call the function “towersOfHanoi” with corresponding arguments.

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A common memory matching game played by young children is to start with a deck of cards that contain identical pairs. For example, given six cards in the deck, two might be labeled 1, two labeled 2, and two labeled 3. The cards are shuffled and placed face down on the table. A player then selects two cards that are face down, turns them face up, and if the cards match, they are left face up. If the two cards do not match, they are returned to their original face down position. The game continues until all cards are face up. Write a program that plays the memory matching game. Use 16 cards that are laid out in a 4  4 square and are labeled with pairs of numbers from 1 to 8. Your program should allow the player to specify the cards that he or she would like to select through a coordinate system. For example, in the following layout: 1 2 3 4 1 8 * * * 2 * * * * 3 * 8 * * 4 * * * * all of the face down cards are indicated by *. The pairs of 8 that are face up are at coordinates (1,1) and…
The puzzle called the Towers of Hanoi consists of three pegs, one of which contains several rings stacked in order of descending diameter from bottom to top. The problem is to move the stack of rings to another peg. You are allowed to move only one ring at a time, and at no time is a ring to be placed on top of a smaller one. Observe that if the puzzle involved only one ring, it would be extremely easy. Moreover, when faced with the problem of moving several rings, if you could move all but the largest ring to another peg, the largest ring could then be placed on the third peg, and then the problem would be to move the remaining rings on top of it. Using this observation, develop a recursive algorithm for solving the Towers of Hanoi puzzle for an arbitrary number of rings.
Children often play a memory game in which a deck of cards containing matching pairs is used. The cards are shuffled and placed face down on a table. The players then take turns and select two cards at a time. If both cards match, they are left face up; otherwise, the cards are placed face down at the same positions. Once the players see the selected pair of cards and if the cards do not match, then they can memorize the cards and use their memory to select the next pair of cards. The game continues until all the cards are face up. Write a program to play the memory game. Use a two dimensional array of 4 rows and 4 columns to use a deck of 16 cards with 8 matching pairs and you can use numbers 1 to 8 to mark the cards. (If you use a 6 by 6 array, then you will need 18 matching pairs, and so on.) Use random number generators to randomly store the pairs in the array. Use appropriate functions in your program, and the main program should be merely a call to functions.     Extra credit:…
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