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

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

//============================================================================
//problem link:http://codeforces.com/problemset/problem/510/A
// Name        : .java
// Author      : Shivam Dwivedi
// Version     :
// Copyright   : use it under your responsibility
//status:accepted
//============================================================================



import java.io.*;
import java.util.*;
 
public class Problem510A
{
    public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
                int m = sc.nextInt(),i,j;

              for(i=1; i<=n; i++)
              {
                 if(i%4==2)
                 {
                   for(j=1; j<m; j++)
                   {
                    System.out.print(".");
                   }
                  System.out.println("#");
                 }
                else if(i%4==0)
                {
                  System.out.print("#");
                  for(j=1; j<m; j++)
                  {
                   System.out.print(".");
                  }
                 System.out.println("");
               }
               else
               {
                for(j=1; j<=m; j++)
                 {
                  System.out.print("#");
                  }
               System.out.println("");
               }
             }            
		
    }		
}
