Problem: Find an n × n matrix with different numbers from 1 to n2, so the sum in each row, column and both main diagonals are odd.

Input

The only line contains odd integer n (1 ≤ n ≤ 49).

Output

Print n lines with n integers. All the integers should be different and from 1 to n2. The sum in each row, column and both main diagonals should be odd.

Examples

Input

1


Output

1


Input

3


Output

2 1 4
3 5 7
6 9 8

Solution (in JAVA):

Solution:
import java.util.Scanner;

public class workspace {

	public static void main(String[] args) {
		Scanner s = new Scanner(System.in);
		int n = Integer.parseInt(s.nextLine());
		int[][] magic = new int[n][n];

		int row = n - 1;
		int col = n / 2;
		magic[row][col] = 1;

		for (int i = 2; i <= n * n; i++) {
			if (magic[(row + 1) % n][(col + 1) % n] == 0) {
				row = (row + 1) % n;
				col = (col + 1) % n;
			} else {
				row = (row - 1 + n) % n;
			}
			magic[row][col] = i;
		}

		for (int i = 0; i < n; i++) {
			for (int j = 0; j < n; j++) {
				System.out.print(magic[i][j] + " ");
			}
			System.out.println();
		}

	}
}