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.*;
public class HelloWorld{

     public static void main(String []args){
        Scanner sc=new Scanner(System.in);
        int n=sc.nextInt();
        int m=sc.nextInt();
       for(int i=1;i<=n;i++)
        {
           if(i%2==0)
           {
              if(i%4==0)
              {
               System.out.print("#");  
               for(int j=1;j<m;j++)
               {
                System.out.print(".");
                }
              } 
           else
           {
             for(int j=1;j<m;j++)
            {
                System.out.print(".");
            }
            System.out.print("#");
            }
           }
           else
           {
             for(int j=1;j<=m;j++)
            {
                System.out.print("#");
            }  
           }
           System.out.println();
        }
        
        
     }
}