C++ for Engineers and Scientists
4th Edition
ISBN: 9781133187844
Author: Bronson, Gary J.
Publisher: Course Technology Ptr
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Chapter 7, Problem 15PP
(Computation) A magic square is a square of numbers with N rows and N columns, in which each integer value from 1 to (N * N) appears exactly once, and the sum of each column, each row, and each diagonal is the same value. For example, Figure 7.21 shows a magic square in which
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Q3. (Dice Rolling) Write a program that simulates the rolling of two dice. The program
should use rand to roll the first die and should use rand again to roll the second die. The
sum of the two values should then be calculated. [Note: Each die can show an integer
value from 1 to 6, so the sum of the two values will vary from 2 to 12, with 7 being the
most frequent sum and 2 and 12 being the least frequent sums.] Figure 7.26 shows the 36
possible combinations of the two dice. Your program should roll the two dice 10,000
times. Use a one-dimensional array to tally the numbers of times each possible sum
appears. Print the results in a tabular format. Also, determine if the totals are reasonable
(i.e., there are six ways to roll a 7, so approximately one-sixth of all the rolls should be 7).
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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.
Q2) (Perfect Numbers) An integer number is said to be a perfect number if its factors,
including 1 (but not the number itself), sum to the number. For example, 6 is a perfect
number because 6 = 1 + 2 + 3. Write a function perfect that determines if parameter number
is a perfect number. Use this function in a program that determines and prints all the perfect
numbers between 1 and 1000. Print the factors of each perfect number to confirm that the
number is indeed perfect. Challenge the power of your computer by testing numbers much
larger than 1000.
Chapter 7 Solutions
C++ for Engineers and Scientists
Ch. 7.1 - (Practice) Write array declarations for the...Ch. 7.1 - (Practice) Write correct notation for the first,...Ch. 7.1 - Prob. 3ECh. 7.1 - (Practice) a. Write output statements using cout...Ch. 7.1 - (Desk check) List the elements displayed by the...Ch. 7.1 - (Practice) a. Write a program to input the...Ch. 7.1 - (Practice) Write a program to input eight integer...Ch. 7.1 - (Data processing) a. Write a program to input 10...Ch. 7.1 - Prob. 9ECh. 7.1 - (Electrical eng.) Write a program that specifies...
Ch. 7.2 - (Practice) Write array declarations, including...Ch. 7.2 - (Data processing) Write an array declaration...Ch. 7.2 - (Data processing) Write a program that uses an...Ch. 7.2 - (Electrical eng.) Write a program that stores the...Ch. 7.2 - (Practice) a. Write a declaration to store the...Ch. 7.3 - (Practice) Write specification statements for the...Ch. 7.3 - (Desk check) Determine the output produced by the...Ch. 7.3 - (Practice) a. Write a C++ program that adds the...Ch. 7.3 - (Practice) Write a C++ program that adds...Ch. 7.3 - Prob. 5ECh. 7.3 - (Electrical eng.) a. An engineer has constructed a...Ch. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - (Electrical eng.) Write a program that declares...Ch. 7.4 - (Statistics) Write a program that includes two...Ch. 7.5 - Prob. 1ECh. 7.5 - (Practice) Run Program 7.10 to determine the...Ch. 7.5 - Prob. 3ECh. 7.5 - (List maintenance) a. Write a complete C++ program...Ch. 7.5 - Prob. 5ECh. 7.5 - (List maintenance) The following letters are...Ch. 7.5 - (File creation) Write a C++ program that creates...Ch. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.6 - Prob. 1ECh. 7.6 - Prob. 2ECh. 7.6 - Prob. 3ECh. 7.6 - Prob. 4ECh. 7.6 - Prob. 5ECh. 7.6 - Prob. 6ECh. 7.6 - Prob. 7ECh. 7.6 - Prob. 8ECh. 7.6 - (Practice) Use the max_element and min_element...Ch. 7 - (Statistics) a. Write a C++ program that reads a...Ch. 7 - (Practice) Define an array named peopleTypes that...Ch. 7 - (Numerical) Given a one-dimensional array of...Ch. 7 - (Numerical) Write and test a function that returns...Ch. 7 - (Sorting) Read a set of numerical grades from the...Ch. 7 - (Numerical) a. Define an array with a maximum of...Ch. 7 - (Numerical) Using the srand() and rand() C++...Ch. 7 - (Statistical) In many statistical analysis...Ch. 7 - (Data processing) Your professor has asked you to...Ch. 7 - (Modify) Modify the program written for Exercise 9...Ch. 7 - Prob. 11PPCh. 7 - (Data processing) The answers to a true-false test...Ch. 7 - Prob. 13PPCh. 7 - (Data processing) Construct a three-dimensional...Ch. 7 - (Computation) A magic square is a square of...Ch. 7 - (Computation) Among other applications, Pascal’s...
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