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.Scanner;


public class Main {
    
    public static void main(String[] args) {
        
        Scanner input = new Scanner (System.in);
        
        int n = input.nextInt();
        int m = input.nextInt();
        
        char [][] array = new char [n][m];
        boolean end = false;
        int temp = 0;
        
        for(int i = 0 ; i < n ; i++)
        {
            for(int j = 0 ; j < m ; j++)
            {
                if(i % 2 == 0)
                    array[i][j] = '#';
                else
                {
                    if(i == 1 && j == (m-1)){
                        array[i][j] = '#';
                        end = true;
                    }
                        
                    else
                    {
                        if(end && j == 0 && i != temp)
                        {
                            array[i][j] = '#';
                            end = false;
                            temp = i;
                        }
                        
                        else{
                            if(!end && j == (m-1) && i!= temp)
                            {
                                array[i][j] = '#';
                                end = true;
                                temp = i;
                            }
                            
                            else
                                array[i][j] = '.';
                        }
                    }
                }
                
                System.out.print(array[i][j]);
            }
            
            System.out.println();
        }
    }
    
}
