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 C710B {
    public static void main(String[] args) {
        Scanner sc=new Scanner(System.in);
        short n=sc.nextShort(),c=2,nc=1,l=0;
            for (short i = 0; i < n; i++) {
                for (int j = 0; j < n; j++)
                    if(j<=n/2+l&&j>=n/2-l){
                    System.out.print(nc+" ");nc+=2;}
                    else{System.out.print(c+" ");c+=2;}
                System.out.println();
                if (n/2>i)l++; else l--;
                }
        }
    }