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 dvn {
	public static void main(String[] args) {
		Scanner sc=new Scanner(System.in);
	int t=sc.nextInt();
	int o=1,e=2;
	for(int i=0;i<t/2+1;i++)
	{
		for(int j=0;j<(t-(2*i+1))/2;j++)
		{
			
			
				System.out.print(e+" ");
				e=e+2;
			
		}
		for(int u=0;u<2*i+1;u++)
		{
			System.out.print(o+" ");
			o=o+2;
		}
		for(int j=0;j<(t-(2*i+1))/2;j++)
		{
			
				System.out.print(e+" ");
				e=e+2;
			
		}
		
		System.out.println();
	}
	for(int i=t/2-1;i>=0;i--)
	{
		for(int j=0;j<(t-(2*i+1))/2;j++)
		{
			
			
				System.out.print(e+" ");
				e=e+2;
			
		}
		for(int u=0;u<2*i+1;u++)
		{
			System.out.print(o+" ");
			o=o+2;
		}
		for(int j=0;j<(t-(2*i+1))/2;j++)
		{
			
				System.out.print(e+" ");
				e=e+2;
			
		}
		
		System.out.println();
	}
	}
}