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.Arrays;
import java.util.Scanner;
    
public class Main {
    
    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);
        int n = scan.nextInt();
        int m = scan.nextInt();
        String l = "";
        for(int i = 0 ; i < m ; i++){
            l +="#";
        }
        String p ="#";
        for(int i = 1 ; i < m ; i++){
            p +=".";
        }
        String q ="";
        for(int i = 1 ; i < m ; i++){
            q +=".";
        }
        q += "#";
        boolean v = true;
        for(int i = 0 ; i < n ; i++){
            if(i % 2 == 0){
                System.out.println(l);
            }
            else{
                if(v){
                    System.out.println(q);
                    v = !v;
                }
                else{
                    System.out.println(p);
                    v = !v;
                }
            }
            
        }
    }

}
        
        
    
    
