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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;

public class Main {
    static int n, m;
    static boolean t = true;
    final static char dot = '.';
    final static char Shaper = '#';

    public static void main(String[] args) {
//Dare your dream is big Astro Devo
        FastReader input = new FastReader();
        n = input.nextInt();
        m = input.nextInt();

        for (int i = 0; i < n; i++) {


            for (int j = 0; j < m; j++) {

                if (i % 2 == 0) {
                    System.out.print(Shaper);

                } else {
                    if (!t) {
                        if (j != m - 1) {

                            System.out.print(dot);
                        } else {
                            System.out.print(Shaper);

                        }


                    } else {
                        if (j != 0) {

                            System.out.print(dot);
                        } else {

                            System.out.print(Shaper);


                        }


                    }


                }
            }
            if ((i + 1) % 2 != 0) {
                t = !t;

            }

            System.out.println();
        }

    }


    public static class FastReader {

        BufferedReader br;
        StringTokenizer st;

        FastReader() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String string = "";
            try {
                string = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return string;
        }

        char nextChar() {
            return next().charAt(0);
        }

    }
}