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.*;
public class cfmagicoddsquare {
public static void main(String[] args) {
Scanner sc=new Scanner(System.in);
int n=sc.nextInt();int o=1;int e=2;int k=(n-1)/2;
for(int i=1;i<=n;i++)
{for(int j=1;j<=k;j++)
    {System.out.print((e)+"\t");e=e+2;}
for(int j=1;j<=n-2*k;j++)
    {System.out.print((o)+"\t ");o=o+2;}
for(int j=1;j<=k;j++)
    {System.out.print((e)+"\t ");e=e+2;}
    if(i<(n/2)+1)
    k--;
    else
    k++;
System.out.println();}
sc.close();
}    
}