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.io.*;
import java.util.*;
import java.math.*;

public class solveA {
	public static void main(String[] args) throws IOException {
		Scanner f = new Scanner(System.in);
		StringTokenizer st = new StringTokenizer(f.nextLine());

		int n = Integer.parseInt(st.nextToken());
		int m = Integer.parseInt(st.nextToken());

		String s = "";

		for(int i = 0; i < m; i++) {
			s += "#";
		} 

		String a = "";
		String b = "#";
		for(int i = 0; i < m-1; i++) {
			a += ".";
			b += ".";
		}

		a += "#";

		for(int i = 0; i < n; i++) {
			if(i%2 == 0) {
				System.out.println(s);
			}
			else if(i%4 == 1){
				System.out.println(a);
			}
			else
				System.out.println(b);
		}


	}
}