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.*;
public class Solution{
    public static void main(String args[]){
        Scanner s = new Scanner(System.in);
        int n = s.nextInt();
        int m = s.nextInt();
        int flag = 0;
        for(int i = 0 ; i < n ; i++){
        	int f = 0;
            for(int j = 0 ; j < m ; j++){
                if(i % 2 == 0){
                    System.out.print("#");
                }else{
                    if(flag == 0){
                        if(j == m - 1){
                            System.out.print("#");
                        }else{
                            System.out.print(".");
                        }
                    }else{
                        if(j == 0){
                            System.out.print("#");
                        }else{
                            System.out.print(".");
                        }
                    }
                    f = 1;
                }
            }
            System.out.println();
            if(f == 1) {
            	if(flag == 0) {
                	flag = 1;
                }else {
                	flag = 0;
                }
            }
        }
    }
}