Fox Ciel starts to learn programming. The first task is drawing a fox! However, that turns out to be too hard for a beginner, so she decides to draw a snake instead.

A snake is a pattern on a n by m table. Denote c-th cell of r-th row as (r, c). The tail of the snake is located at (1, 1), then it's body extends to (1, m), then goes down 2 rows to (3, m), then goes left to (3, 1) and so on.

Your task is to draw this snake for Fox Ciel: the empty cells should be represented as dot characters ('.') and the snake cells should be filled with number signs ('#').

Consider sample tests in order to understand the snake pattern.

Input

The only line contains two integers: n and m (3 ≤ n, m ≤ 50). 

n is an odd number.

Output

Output n lines. Each line should contain a string consisting of m characters. Do not output spaces.

Examples

Input

3 3


Output

###
..#
###


Input

3 4


Output

####
...#
####


Input

5 3


Output

###
..#
###
#..
###


Input

9 9


Output

#########
........#
#########
#........
#########
........#
#########
#........
#########

/**
 *
 * @author Gourav
 */
//import java.util.*;
import java.util.Scanner;
//import java.math.*;
public class Program {

    /**
     * @param args the command line arguments
     */

    
 public static void main(String args[]){
		
		Scanner input = new Scanner(System.in);
                char str[][]=new char[100][100];
                
               // str[1][1]='#';
                int n=input.nextInt();
                int m=input.nextInt();
                int c=m;
                //int c1=m;
                int r=1;
                for(int i=1;i<=n;i++ )
                {
                    for(int j=1;j<=m;j++)
                    {
                        if(i%2!=0)
                            str[i][j]='#';
                        else if(r*2==i&&j==c){
                            str[i][c]='#';
                             if(c==m)
                                 c=1;
                             else if(c==1)
                                 c=m;
                             r++;
                        }
                        else
                            str[i][j]='.';
                        
                    }
                   
                }
               for(int i=1;i<=n;i++)
               {
                   for(int j=1;j<=m;j++)
                   {
                       System.out.print(str[i][j]);
                   }
                   System.out.println();
               }
	}
 
 
}
