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 FoxAndSnake {
    public static void main (String[]args){
        
        Scanner in = new Scanner(System.in);
        
        int n,m;
        n = in.nextInt();
        m = in.nextInt();
        boolean right = false;
        
        for(int i = 1; i <= n; i++){
            
            if(i%2==0){
                if(right){
                    
                    System.out.print('#');
                    
                    for(int j = 1; j < m; j++){

                        System.out.print('.');
                    }
                    right=false;
                }
                
                else{
                    
                    for(int j = 1; j < m; j++){

                        System.out.print('.');
                    }
                    System.out.print('#');
                    right=true;
                }
            }
            
            else{
                for(int j = 1; j <= m; j++){

                    System.out.print('#');
                }
            }
            
            System.out.println();
        }
    }
}
