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 p710c{
public static void main(String[] args){
Scanner in=new Scanner(System.in);
int n=in.nextInt();
int A[][]=new int[n][n];
/*for(i=0;i<n;i++)
{for(j=0;j<n;j++)
System.out.print(A[i][j]+" ");
System.out.println();
}*/

int r=0,c=n/2,i=1;
while(i<=n*n){
if(r<0) {r=n-1;}
if(c>=n) {c=0;}
if(A[r][c]!=0)
{
c=c-1;r=r+1;if(r>=n)r=0;if(c<0)c=n-1;r=r+1;
}
A[r][c]=i++;
r--;c++;
}
int j;
for(i=0;i<n;i++)
{for(j=0;j<n;j++)
System.out.print(A[i][j]+" ");
System.out.println();
}
}}