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.*;
import java.util.*;
public class Main {
	
	public static void main(String args[])
	{
	    Scanner sc = new Scanner(System.in);
	    int n = sc.nextInt();
		int[][] magicSquare = new int[n][n];
		int i = n / 2;
		int j = n - 1;
		for (int num = 1; num <= n * n;) {
			if (i == -1 && j == n)
			{
				j = n - 2;
				i = 0;
			}
			else {
				if (j == n)
					j = 0;
				if (i < 0)
					i = n - 1;
			}
			if (magicSquare[i][j] != 0) {
				j -= 2;
				i++;
				continue;
			}
			else
				magicSquare[i][j] = num++;
			j++;
			i--;
		}
		for (i = 0; i < n; i++) {
			for (j = 0; j < n; j++)
				System.out.print(magicSquare[i][j] + " ");
			System.out.println();
		}
	}
}