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 A510{
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
        int l = sc.nextInt();
        int h = sc.nextInt();

        String ls = "", h1 = "", h2 = "";

        for(int i = 1; i <= l; i++){
            if(i % 2 == 0){
                if(i % 4 == 0){
                    if(!h2.isEmpty()){
                        System.out.println(h2);
                    }else{
                        h2 += "#";
                        for(int j = 1; j < h; j++){
                            h2 += ".";
                        }
                        System.out.println(h2);
                    }
                }else{
                    if(!h1.isEmpty()){
                        System.out.println(h1);
                    }else{
                        for(int j = 1; j < h; j++){
                            h1 += ".";
                        }
                        h1 += "#";
                        System.out.println(h1);
                    }
                }
            }else{
                if(!ls.isEmpty()){
                    System.out.println(ls);
                }else{
                    for(int j = 0; j < h; j++){
                        ls += "#";
                    }
                    System.out.println(ls);
                }
            }
        }
	}
}
