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

#########
........#
#########
#........
#########
........#
#########
#........
#########
/* package whatever; // don't place package name! */

import java.util.*;
import java.lang.*;
import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */
public class Main
{
	static class Reader {
	BufferedReader boiler;
	StringTokenizer plate;
	public Reader(InputStream input){
		this.init(input);	
	}
	void init(InputStream input) {
		boiler = new BufferedReader(new InputStreamReader(input));
		plate = new StringTokenizer("");
	}
	boolean hasNext() throws IOException{
		return plate.hasMoreTokens() || boiler.ready();
	}
	String next() throws IOException {
		while (!plate.hasMoreTokens()) {
			plate = new StringTokenizer(boiler.readLine());
		}
		return plate.nextToken();
	}
	
	int nextInt() throws IOException {
		return Integer.parseInt(next());
	}
	long nextLong() throws IOException{
		return Long.parseLong(next());
	}
	}
	public static void main (String[] args) throws java.lang.Exception
	{
		Reader sc = new Reader(System.in);
		int n = sc.nextInt();
		int m = sc.nextInt();
		int counter = 0;
		StringBuilder ans = new StringBuilder("");
		for(int i = 0; i < n; i++){
			for(int j = 0; j < m; j++){
				if(i%2==0||(j == m-1 && counter%2==0) || (j==0 && counter%2==1)){
					ans.append("#");
				} else {
					ans.append(".");
				}
			}
			ans.append("\n");
			counter+=i%2;
		}
		System.out.print(ans.toString());
	}
}
