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
	{
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int m = sc.nextInt();
		
		for(int i = 1; i<=n; i++)
		{
		    if(i % 2 == 1)
		    {
		        for(int j = 0; j< m; j++)
		         System.out.print("#");
		        System.out.println();
		    }
		    else
		    {
		        if((i/2)%2 == 1)
		        {
		            for(int j = 0; j< m-1; j++)
		             System.out.print(".");
		            System.out.print("#");
		            System.out.println();
		        }
		        else
		        {
		            System.out.print("#");
		            for(int j = 1; j< m; j++)
		             System.out.print(".");
		            System.out.println();
		            
		        }
		    }
		}
		
		
		
	
		
		
		
	}
}
