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53. Magic Matrix.
import java.io.*;
class MagicMatrix
{
public static void main(String args[]) throws IOException
{
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
System.out.print("Enter the size of the matrix : ");
int n = Integer.parseInt(br.readLine());
if (n > 5)
System.out.println("Enter a number between 1 to 5 ");
else
{
int A[][] = new int[n][n]; // Creating the Magic Matrix
int i, j, k, t;
/*Initializing every cell of the matrix with 0 */
for (i = 0; i < n; i++)
{
for (j = 0; j < n; j++)
{
A[i][j] = 0;
}
}
/* When the size of the matrix is Odd */
if (n % 2 != 0)
{
i = 0;
j = n / 2;
k = 1;
while (k <= n * n)
{
A[i][j] = k++;
i--; // Making one step upward
j++; // Moving one step to the right
if (i < 0 && j > n - 1) // Condition for the top-right corner element
{
i = i + 2;
j--;
}
if (i < 0) // Wrapping around the row if it goes out of boundary
i = n - 1;
if (j > n - 1) // Wrapping around the column if it goes out of boundary
j = 0;
if (A[i][j] > 0) // Condition when the cell is already filled
{
i = i + 2;
j--;
}
}
}
/* When the size of the matrix is even */
else
{
k = 1;
/* Filling the matrix with natural numbers from 1 till n*n */
for (i = 0; i < n; i++)
{
for (j = 0; j < n; j++)
{
A[i][j] = k++;
}
}
j = n - 1;
for (i = 0; i < n / 2; i++)
{
/* swapping corner elements of primary diagonal */
t = A[i][i];
A[i][i] = A[j][j];
A[j][j] = t;
/* swapping corner elements of secondary diagonal */
t = A[i][j];
A[i][j] = A[j][i];
A[j][i] = t;
j--;
}
}
/* Printing the Magic matrix */
System.out.println("The Magic Matrix of size " + n + "x" + n + " is:");
for (i = 0; i < n; i++)
{
for (j = 0; j < n; j++)
{
System.out.print(A[i][j] + "\t");
}
System.out.println();
}
}
}
}
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