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.math.BigInteger;
import java.math.MathContext;
import static java.lang.Math.*;
import static java.util.Arrays.*;
 
 
 
public class Main {
	public static void main(String[] args) throws IOException{
		InputReader in = new InputReader(System.in);
		Printer out = new Printer(System.out);
		TaskA solver = new TaskA();
		solver.solve(1, in, out);
		out.close();
	}

 
static class TaskA {
	public void solve(int testNumber, InputReader in, Printer out) throws IOException{
		// BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		// Scanner sc = new Scanner(System.in);
		int n = in.nextInt();
		int e = 2 , o = 1;
		for(int i = 0; i < n; i++){
			for(int j = 0; j < n; j++){	
				if(abs(i-n/2) + abs(j-n/2) <= n/2){
					out.print(o+" ");
					o += 2;
				}else{
					out.print(e+" ");
					e += 2;
				}
			}
			out.println();
		}
		
	 }
}
  
  
 // ||||||| INPUT READER ||||||||
 static class InputReader {
	private byte[] buf = new byte[2048];
	private int index;
	private int total;
	private InputStream in;
	
	public InputReader(InputStream stream){
		in = stream;
	}
	
	public int scan() throws IOException{
		if(total < 0)
			throw new InputMismatchException();
		if(index >= total){
			index = 0; 
			total = in.read(buf);
			if(total <= 0)
				return -1;
		}
		return buf[index++];
	}
	public long scanlong() throws IOException{
		long integer = 0;
		int n = scan();
		while(isWhiteSpace(n))
			n = scan();
		int neg = 1;
		if(n == '-'){
			neg = -1;
			n = scan();
		}
		while(!isWhiteSpace(n)){
			if(n >= '0' && n <= '9'){
				integer *= 10;
				integer += n - '0';
				n = scan();
			}
			else throw new InputMismatchException();
		}
		return neg*integer;
	}
	
	private int scanInt() throws IOException {
		int integer = 0;
		int n = scan();
		while(isWhiteSpace(n))
			n = scan();
		int neg = 1;
		if(n == '-'){
			neg = -1;
			n = scan();
		}
		while(!isWhiteSpace(n)){
			if(n >= '0' && n <= '9'){
				integer *= 10;
				integer += n - '0';
				n = scan();
			}
			else throw new InputMismatchException();
		}
		return neg*integer;
	}
	
	public double scandouble() throws IOException{
		double doubll = 0;
		int n = scan();
		int neg = 1;
		while(isWhiteSpace(n))
			n = scan();
		if(n == '-'){
			neg = -1;
			n = scan();
		}
		while(!isWhiteSpace(n) && n != '.'){
			if(n >= '0' && n <= '9'){
				doubll *= 10;
				doubll += n - '0';
				n = scan();
			}
		}
		if(n == '.'){
			n = scan();
			double temp = 1;
			while(!isWhiteSpace(n)){
				if(n >= '0' && n <= '9'){
					temp /= 10;
					doubll += (n - '0')*temp;
					n = scan();
				}
			}
		}
		return neg*doubll;
	}
	
	private float scanfloat() throws IOException {
		float doubll = 0;
		int n = scan();
		int neg = 1;
		while(isWhiteSpace(n))
			n = scan();
		if(n == '-'){
			neg = -1;
			n = scan();
		}
		while(!isWhiteSpace(n) && n != '.'){
			if(n >= '0' && n <= '9'){
				doubll *= 10;
				doubll += n - '0';
				n = scan();
			}
		}
		if(n == '.'){
			n = scan();
			double temp = 1;
			while(!isWhiteSpace(n)){
				if(n >= '0' && n <= '9'){
					temp /= 10;
					doubll += (n - '0')*temp;
					n = scan();
				}
			}
		}
		return neg*doubll;
	}
	public String scanstring() throws IOException{
		StringBuilder sb = new StringBuilder();
		int n = scan();
		while(isWhiteSpace(n))
			n = scan();
		while(!isWhiteSpace(n)){
			sb.append((char)n);
			n = scan();
		}
		return sb.toString();
	}
	public boolean isWhiteSpace(int n){
		if(n == ' ' || n == '\n' || n == '\r' || n == '\t' || n == -1)
			return true;
		return false;
	}

/// Input module 	
	
	public int nextInt() throws IOException{
	  return scanInt();
	}
	
	public long nextLong() throws IOException{
		  return  scanlong();
		}
	
	public double nextDouble() throws IOException{
		  return  scandouble();
		}
	
	public float nextFloat() throws IOException{
		  return scanfloat();
		}

	public String next() throws IOException{
		return scanstring();
	}
}


// output writer
static class Printer{
	private final BufferedWriter bw;
	public Printer(OutputStream out){
		bw = new BufferedWriter(new OutputStreamWriter(out));
	}
	
    public void print(Object...objects) throws IOException{
    	for(int i = 0; i < objects.length; i++){
    		if(i != 0)
    			bw.append(' ');
    		bw.append(objects[i].toString());
    	}
    }
	public void print(String str) throws IOException{
		bw.append(str);
	}
	
	public void println(Object...objects) throws IOException {
		print(objects);
		bw.append("\n");
	}
	
	public void close() throws IOException{
		bw.close();
	}
	
	public void flush() throws IOException{
		bw.flush();
	}
}

static class IOUtils {
    public static int[] readIntArray(InputReader in, int size) throws IOException {
        int[] array = new int[size];
        for (int i = 0; i < size; i++) {
            array[i] = in.nextInt();
        }
        return array;
    }
  }
}