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.math.BigInteger;
import java.util.HashSet;
import java.util.Map;


public class codef {
    public static void main(String[] args) throws IOException {
        BufferedReader B = new BufferedReader(new InputStreamReader(System.in));
        String[] s = B.readLine().split(" ");
        int n = Integer.parseInt(s[0]);
        int m = Integer.parseInt(s[1]);
        StringBuilder ss = new StringBuilder();
        boolean start = false;
        for (int i = 0; i < n; i++) {
            if (i % 2 == 0) {
                for (int j = 0; j < m; j++) {
                    ss.append("#");
                }
            } else {
                if (start) {
                    ss.append("#");
                    for (int j = 0; j < m - 1; j++) {
                        ss.append(".");
                    }

                } else {
                    for (int j = 0; j < m - 1; j++) {
                        ss.append(".");
                    }
                    ss.append("#");
                }
                start = !start;
            }
            ss.append("\n");
        }
        System.out.print(ss.toString());
    }
}