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 JavaApplication103 {

    public static void main(String[] args) {
      Scanner a = new Scanner (System.in);
      int  a1 = a.nextInt();
     int a2 = a.nextInt();
     String m="";
  int count = 1  ; 
            for (int j = 1; j <a1+1; j++) {
                if(j%2!=0)
                
                    for (int u = 0; u <a2; u++) 
                          m=m+"#";
                    
                 
                else 
                {
             if (count%2!=0){
                    for (int k = 1; k <=a2-1; k++) {
                       m=m+".";
                    }
                  
                    m=m+"#";
                    
             }
             else 
             {
                   m=m+"#";
                  for (int k = 1; k <=a2-1; k++) {
                       m=m+".";
                    }
                  }
                   count ++;
                 
             
            } 
           m=m+'\n';
        }
        System.out.println(m);
    }
    
}