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.io.*;
import java.util.*;
import java.math.*;
import java.lang.String;
import java.util.regex.*; 

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