# Check given matrix is magic square or not in C++

Here we will see, if a matrix is magic square or not, a magic square is a square matrix, where the sum of each row, each column, and each diagonal are same.

Suppose a matrix is like below −

 6 1 8 7 5 3 2 9 4

This is a magic square, if we see, the sum of each row, column and diagonals are 15.

To check whether a matrix is magic square or not, we have to find the major diagonal sum and the secondary diagonal sum, if they are same, then that is magic square, otherwise not.

## Example

Live Demo

#include <iostream>
#define N 3
using namespace std;
bool isMagicSquare(int mat[][N]) {
int sum_diag = 0,sum_diag_second=0;
for (int i = 0; i < N; i++)
sum_diag = sum_diag + mat[i][i];
for (int i = 0; i < N; i++)
sum_diag_second = sum_diag_second + mat[i][N-1-i];
if(sum_diag!=sum_diag_second)
return false;
for (int i = 0; i < N; i++) {
int rowSum = 0;
for (int j = 0; j < N; j++)
rowSum += mat[i][j];
if (rowSum != sum_diag)
return false;
}
for (int i = 0; i < N; i++) {
int colSum = 0;
for (int j = 0; j < N; j++)
colSum += mat[j][i];
if (sum_diag != colSum)
return false;
}
return true;
}
int main() {
int mat[][N] = {{ 6, 1, 8 },
{ 7, 5, 3 },
{ 2, 9, 4 }};
if (isMagicSquare(mat))
cout << "It is Magic Square";
else
cout << "It is Not a magic Square";
}

## Output

It is Magic Square