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.util.Scanner;
import java.io.*;
import javax.lang.model.util.ElementScanner6; 
import static java.lang.System.out;
import java.util.Stack;
import java.util.Queue;
import java.util.LinkedList;

public class C710
{

   
    
    public static void main(String args[])
    {  

        FastReader in=new FastReader();
        PrintWriter pr = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
        int tc=1;
     
        //tc=in.nextInt();
        while(tc-->0)
        {
            
        	int n=in.nextInt();
	
			int od=1;
			int ev=2;
			int start=1;
			if(n==1)
			{
				pr.println(1);
				continue;
			}
			int f=0;
			for(int i=0;i<n;i++)
			{
				int temp=start/2;
				//pr.println(temp);
				for(int j=0;j<n;j++)
				{
					if(j<=n/2+temp&&j>=n/2-temp)
					{
						pr.print(od+" ");
						od+=2;
					}
					else
					{
						pr.print(ev+" ");
						ev+=2;
					}
				}
				pr.println();
				if(start==n)
					f=1;
				if(f==0)
				{
					start+=2;
				}
				else start-=2;
			}
			
        



        }
        pr.flush();
    }


    

    static void sort(long[] a) {
		ArrayList<Long> l = new ArrayList<>();
		for (long i : a)
			l.add(i);
		Collections.sort(l);
		for (int i = 0; i < a.length; i++)
			a[i] = l.get(i);
	}
    
    
	static void sort(int[] a) {
		ArrayList<Integer> l = new ArrayList<>();
		for (int i : a)
			l.add(i);
		Collections.sort(l);
		for (int i = 0; i < a.length; i++)
			a[i] = l.get(i);
    }

    
    static class FastReader
    { 
        BufferedReader br; 
        StringTokenizer st; 

        public FastReader() 
        { 
            br = new BufferedReader(new InputStreamReader(System.in)); 
        } 

        String next() 
        { 
            while (st == null || !st.hasMoreElements()) 
            { 
                try
                { 
                    st = new StringTokenizer(br.readLine()); 
                } 
                catch (IOException  e) 
                { 
                    e.printStackTrace(); 
                } 
            } 
            return st.nextToken(); 
        } 

        int nextInt() 
        { 
            return Integer.parseInt(next()); 
        } 

        long nextLong() 
        { 
            return Long.parseLong(next()); 
        } 

        double nextDouble() 
        { 
            return Double.parseDouble(next()); 
        } 
        
        int[] readIntArray(int n)
        {
		int a[]=new int[n];
		for(int i=0;i<n;i++)a[i]=nextInt();
		return a;
	}
		
	long[] readLongArray(int n)
	{
		long a[]=new long[n];
		for(int i=0;i<n;i++)a[i]=nextLong();
		return a;
	}
	
        String nextLine() 
        { 
            String str = ""; 
            try
            { 
                str = br.readLine(); 
            } 
            catch (IOException e) 
            { 
                e.printStackTrace(); 
            } 
            return str; 
        } 
    } 
}