C++ How to Program (10th Edition)
10th Edition
ISBN: 9780134448237
Author: Paul J. Deitel, Harvey Deitel
Publisher: PEARSON
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Chapter 7, Problem 7.27E
(The Sieve of Eratosthenes) A prime integer is any integer that’s evenly divisible only by itself and 1. The Sieve of Eratosthenes is a method of finding prime numbers. It operates as follows:
a) Create an array with all elements initialized to 1 (true), array elements with prime sub-scripts will remain 1. All other array elements will eventually be set to zero. You'll ignore elements 0 and 1 in this exercise.
b) Starting with array subscript 2, every time an array clement is found whose value is 1. loop through the remainder of the array and set to zero every element whose subscript is a multiple of the subscript for the element with value 1. For array subscript 2, all elements beyond 2 in the array that are multiples of 2 will be set to zero (subscripts 4, 6, 8. 10, etc.); for array subscript 3, all elements beyond 3 in the array that are multiples of 3 will be set to zero (subscripts 6, 9, 12, 15, etc.); and so on. hen this process is complete, the array elements that are still set to one indicate that the sub script is a prime number. These can then be printed. Write a
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Chapter 7 Solutions
C++ How to Program (10th Edition)
Ch. 7 - Exercises 7.6(Fill in the Blanks) Fill in the...Ch. 7 - (True or False) Determine whether each of the...Ch. 7 - (Write C++ Statements) Write C++ statements to...Ch. 7 - (Two-Dimensional array Questions) Consider a...Ch. 7 - (Salesperson Salary Ranges) Use a one-dimensional...Ch. 7 - (One-Dimensional array Questions) Write statements...Ch. 7 - (Find the Errors) Find the error(s) in each of the...Ch. 7 - (Duplicate Elimination with array) Use a...Ch. 7 - Prob. 7.14ECh. 7 - Prob. 7.15E
Ch. 7 - (Dice Rolling) Write a program that simulates...Ch. 7 - ( What Does This Code Do?) What does the following...Ch. 7 - (Craps Game Modification) Modify the program of...Ch. 7 - (Converting vector Example of Section 7.10 to...Ch. 7 - Prob. 7.20ECh. 7 - (Sales Summary) Use a two-dimensional array to...Ch. 7 - (Knight's Tour) One of the more interesting...Ch. 7 - (Knight's Tour: Brute Forty Approaches ) In...Ch. 7 - (Eight Queens) Another puzzler for chess buffs is...Ch. 7 - (Eight Queens: Brute Force Approaches) In this...Ch. 7 - Prob. 7.26ECh. 7 - (The Sieve of Eratosthenes) A prime integer is any...Ch. 7 - Prob. 7.28RECh. 7 - (Eight Queens) Modify the Eight Queens program you...Ch. 7 - (Print an array) Write a recursive function...Ch. 7 - Prob. 7.31RECh. 7 - Prob. 7.32RECh. 7 - (Maze Traversal) The grid of hashes (#) and dots...Ch. 7 - Prob. 7.34RECh. 7 - Making a Difference 7.35 (Polling) The Internet...
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