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.io.BufferedReader;
import java.io.InputStreamReader;

public class Main {
    
    public static void main(String[] args) throws Exception{
        BufferedReader inp = new BufferedReader(new InputStreamReader(System.in));
        int n = Integer.parseInt(inp.readLine());
        int r = n >>> 1;
        assert (n % 2 == 1);
        int o = 1, e = 2;
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                if (Math.abs(i - r) - 1 < j && j < n - Math.abs(i - r)) { // || j > n - r + Math.abs(i - r))
                    System.out.print(o + " ");
                    o += 2;
                } else {
                    System.out.print(e + " ");
                    e += 2;
                }
            }
            System.out.println();
        }
    }
}