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 CounterDemo  {
	
	    public static void main(String[] args) { 
	    	Scanner scan=new Scanner(System.in);
	    	
	        int n = scan.nextInt();
	        

	        int[][] magic = new int[n][n];

	        int row = n-1;
	        int col = n/2;
	        magic[row][col] = 1;

	        for (int i = 2; i <= n*n; i++) {
	            if (magic[(row + 1) % n][(col + 1) % n] == 0) {
	                row = (row + 1) % n;
	                col = (col + 1) % n;
	            }
	            else {
	                row = (row - 1 + n) % n;
	                
	            }
	            magic[row][col] = i;
	        }

	        // print results
	        for (int i = 0; i < n; i++) {
	            for (int j = 0; j < n; j++) {
	                if (magic[i][j] < 10)  System.out.print("");  // for alignment
	                if (magic[i][j] < 100) System.out.print("");  // for alignment
	                System.out.print(magic[i][j] + " ");
	            }
	            System.out.println();
	        }

	    }
	}