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.*;
import java.io.*;
import java.text.*;
/**
 *
 * @author alanl
 */
public class Main{
    static BufferedReader input = new BufferedReader(new InputStreamReader(System.in));
    static StringTokenizer st;
    static PrintWriter pr = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
    public static void main(String[] args) throws IOException{
        int n = readInt(), arr[][] = new int[n][n], cnt = 1, start = n/2;
        for(int i = 0; i<n; i++){
            for(int j = start; j<start+cnt; j++){
                arr[i][j] = 1;
            }
            if(i<n/2){
                start--;
                cnt+=2;
            }
            else{
                start++;
                cnt-=2;
            }
        }
        int even = 2, odd = 1;
        for(int i = 0; i<n; i++){
            for(int j = 0; j<n; j++){
                if(arr[i][j]%2==0){
                    arr[i][j] = even;
                    even+=2;
                }
                else{
                    arr[i][j] = odd;
                    odd+=2;
                }
                System.out.print(arr[i][j]+" ");
            }
            System.out.println();
        }
    }
    static String next () throws IOException {
        while (st == null || !st.hasMoreTokens())
                st = new StringTokenizer(input.readLine().trim());
        return st.nextToken();
    }
    static long readLong () throws IOException {
        return Long.parseLong(next());
    }
    static int readInt () throws IOException {
        return Integer.parseInt(next());
    }
    static double readDouble () throws IOException {
        return Double.parseDouble(next());
    }
    static char readChar () throws IOException {
        return next().charAt(0);
    }
    static String readLine () throws IOException {
        return input.readLine().trim();
    }
    /* stuff you should look for
	* int overflow, array bounds
	* special cases (n=1?)
	* do smth instead of nothing and stay organized
	* WRITE STUFF DOWN
	* DON'T GET STUCK ON ONE APPROACH
    // Did you read the bounds?
    // Did you make typos?
    // Are there edge cases (N=1?)
    // Are array sizes proper (scaled by proper constant, for example 2* for koosaga tree)
    // Integer overflow?
    // DS reset properly between test cases?
    // Is using long longs causing TLE?
    // Are you using floating points?
    */
}