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

#########
........#
#########
#........
#########
........#
#########
#........
#########
/* package codechef; // don't place package name! */

import java.util.*;
import java.lang.*;
import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */
public class Codechef
{
	public static void main (String[] args) throws java.lang.Exception
	{
		// your code goes here
		Scanner input = new Scanner(System.in);
		int n = input.nextInt();
	    int k = input.nextInt();
	   String arr[][] = new String[n][1];
	    String s1="";
	    String s2 ="";
	    int f =1;
	    for(int i=0;i<k;i++){
	        s1+="#";
	        s2+=".";
	    }
    	  for(int i=0;i<n;i++){
    	      if(i%2 == 0){
    	          Arrays.fill(arr[i],s1);
    	      }else{
    	          
    	          if(f ==1){
    	              String t = s2.substring(0,s2.length()-1)+"#";
    	              Arrays.fill(arr[i],t);
    	              f=0;
    	          }else{
    	             String t = "#"+s2.substring(1,s2.length());
    	              Arrays.fill(arr[i],t);
    	              f =1;
    	          }
    	      }
    	  }
    	  for(int i=0;i<n;i++){
    	      System.out.println(arr[i][0]);
    	  }
		
		
	}
}
