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 task3 {

    public static void main(String[] args){
        int n = new Scanner(System.in).nextInt();
        int[][] res = new int[n][n];

        int x = n/2;
        int y = 0;
        int a = x, b = y;
        for (int i = 1; i <= n*n; i++) {
            res[y][x] = i;

                 if (x + 1 >= n) x = 0; else x += 1;
                 if (y - 1 < 0) y = n - 1; else y -= 1;

            if(res[y][x] != 0){
                x = a;
                y = b+1;
            }

            a = x; b = y;
        }


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