Write a program that uses a 3 x 3 array and randomly place each integer from 1 to 9 into the nine squares. The program calculates the magic number by adding all the numbers in the array and then dividing the sum by 3. The 3 x 3 array is a magic square if the sum of each row, each column, and each diagonal is equal to the magic number. Your program must contain at least the following functions: a function to randomly fill the array with the numbers and a function to determine if the array is a magic square. Run these functions for some large number of times, say 1,000, 10,000, or 1,000,000, and see the number of times the array is a magic square.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
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STRUCTS
Write a program that uses a 3 x 3 array and
randomly place each integer from 1 to 9
into the nine squares. The program
calculates the magic number by adding all
the numbers in the array and then dividing
the sum by 3. The 3 x 3 array is a magic
square if the sum of each row, each
column, and each diagonal is equal to the
magic number. Your program must contain
at least the following functions: a function
to randomly fill the array with the numbers
and a function to determine if the array is a
magic square. Run these functions for some
large number of times, say 1,000, 10,000, or
1,000,000, and see the number of times the
array is a magic square.
Transcribed Image Text:STRUCTS Write a program that uses a 3 x 3 array and randomly place each integer from 1 to 9 into the nine squares. The program calculates the magic number by adding all the numbers in the array and then dividing the sum by 3. The 3 x 3 array is a magic square if the sum of each row, each column, and each diagonal is equal to the magic number. Your program must contain at least the following functions: a function to randomly fill the array with the numbers and a function to determine if the array is a magic square. Run these functions for some large number of times, say 1,000, 10,000, or 1,000,000, and see the number of times the array is a magic square.
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