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Magic square
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Magic square
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// C++ program to generate odd sized magic squares
#include <bits/stdc++.h>
using namespace std;
// A function to generate odd sized magic squares
void generateSquare(int n)
{
int magicSquare[n][n];
// set all slots as 0
memset(magicSquare, 0, sizeof(magicSquare));
// Initialize position for 1
int i = n / 2;
int j = n - 1;
// One by one put all values in magic square
for (int num = 1; num <= n * n;) {
if (i == -1 && j == n) // 3rd condition
{
j = n - 2;
i = 0;
}
else {
// 1st condition helper if next number
// goes to out of square's right side
if (j == n)
j = 0;
// 1st condition helper if next number
// is goes to out of square's upper side
if (i < 0)
i = n - 1;
}
if (magicSquare[i][j]) // 2nd condition
{
j -= 2;
i++;
continue;
}
else
magicSquare[i][j] = num++; // set number
j++;
i--; // 1st condition
}
// Print magic square
cout << "The Magic Square for n=" << n
<< ":\nSum of "
"each row or column "
<< n * (n * n + 1) / 2 << ":\n\n";
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++)
// setw(7) is used so that the matrix gets
// printed in a proper square fashion.
cout << setw(4) << magicSquare[i][j] << " ";
cout << endl;
}
}
// Driver code
int main()
{
// Works only when n is odd
int n = 7;
generateSquare(n);
return 0;
}
// This code is contributed by rathbhupendra