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.Arrays;

/**
 * Created by ahmed on 1/15/2016.
 */
public class Main {
    public static void main(String[] args) throws IOException {
        BufferedReader input = new BufferedReader(new InputStreamReader(System.in));
        BufferedWriter output = new BufferedWriter(new OutputStreamWriter(System.out));
        String[] fline = input.readLine().split(" ");
        int r = Integer.parseInt(fline[0]),l = Integer.parseInt(fline[1]);
        boolean sline = true;
        boolean rdline = true;
        for(int i = 0 ; i < r ; i++) {
            if(sline) {
                char[] chars = new char[l];
                Arrays.fill(chars, '#');
                output.write(new String(chars) + "\n");
                sline = false;
            } else {
                if(rdline) {
                    char[] chars = new char[l - 1];
                    Arrays.fill(chars, '.');
                    output.write(new String(chars) + "#\n");
                    rdline = false;
                } else {
                    char[] chars = new char[l - 1];
                    Arrays.fill(chars, '.');
                    output.write("#" + new String(chars) + "\n");
                    rdline = true;
                }
                sline = true;
            }
        }
        output.flush();
    }
}
