Answer to Question #187754 in C++ for Rose

Question

The Lo Shu Magic Square is a grid with 3 rows and 3 columns shown below. The Lo Shu Magic Square has the following properties: The grid contains the numbers 1 – 9 exactly The sum of each row, each column and each diagonal all add up to the same number.

 Write a program that simulates a magic square using 3 one dimensional parallel arrays of integer type.

Each one the arrays corresponds to a row of the magic square.

The program asks the user to enter the values of the magic square row by row and informs the user if the grid is a magic square or not.

 Use the following template to start your project:

 #include<iostream>

using namespace std;

 // Global constants

const int ROWS = 3; // The number of rows in the array

const int COLS = 3; // The number of columns in the array

const int MIN = 1; // The value of the smallest number

const int MAX = 9; // The value of the largest number

 

Answer 1

  #include<iostream>
using namespace std;
 // Global constants
const int ROWS = 3; // The number of rows in the array
const int COLS = 3; // The number of columns in the array
const int MIN = 1; // The value of the smallest number
const int MAX = 9; // The value of the largest number

int main() {
	int first[COLS];
	int second[COLS];
	int third[COLS];
	cout << "Enter first row: ";
	cin >> first[0] >> first[1] >> first[2];
	cout << "Enter second row: ";
	cin >> second[0] >> second[1] >> second[2];
	cout << "Enter third row: ";
	cin >> third[0] >> third[1] >> third[2];
	
	
	for (int i = 0; i < 3; i++) {
		if (first[i] < MIN || first[i] > MAX ||
			second[i] < MIN || second[i] > MAX ||
			third[i] < MIN || third[i] > MAX) {
				cout << "Incorrect input";
				return 0;
		}
	}
	int sum = first[0] + first[1] + first[2];
	
	int horSum[ROWS], verSum[COLS], diagSum1 = 0, diagSum2 = 0;
	for (int i = 0; i < ROWS; i++) {
		horSum[i] = verSum[i] = 0;
	}
	
	for (int i = 0; i < COLS; i++) {
		horSum[0] += first[i];
		horSum[1] += second[i];
		horSum[2] += third[i];
	}
	for (int i = 0; i < COLS; i++) {
		verSum[i] = first[i] + second[i] + third[i];
	}
	diagSum1 = first[0] + second[1] + third[2];
	diagSum2 = first[2] + second[1] + third[0];
	bool correct = true;
	for (int i = 0; i < ROWS; i++)
		if (horSum[i] != sum) correct = false;
	for (int i = 0; i < COLS; i++)
		if (verSum[i] != sum) correct = false;
	if (diagSum1 != sum || diagSum2 != sum) 
	correct = false;
	
	if (correct)
		cout << "It is a magic square";
	else
		cout << "Not a magic square";
}