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

#########
........#
#########
#........
#########
........#
#########
#........
#########
import java.util.Scanner;
public class Main {
    
    public static void main(String[] args) {
        
    Scanner in=new Scanner(System.in);
    
   //inputs
   int n = in.nextInt();
   int m = in.nextInt();
   
   char[][] snak = new char[n][m];
   
   for(int i=0 ; i<n ; i+=2){
       
       for(int j=0 ; j<m ; j++)
           snak[i][j] = '#';
       }
   
   for(int i=1 ; i<n ; i+=4){
       for(int j=0 ; j<m ; j++)
           if(j == m-1)
               snak[i][j] = '#';
           else
              snak[i][j] = '.';
       }

           for(int k=3 ; k<n ; k+=4)
               for(int r=0 ; r<m ; r++)
                   if(r==0)
                   snak[k][r] = '#';
                   else
                       snak[k][r] = '.';
   
      for(int i=0 ; i<n ; i++){
          for(int j=0 ; j<m ; j++)
              System.out.print(snak[i][j]);
          
          System.out.println();
      }
    }
 
}
