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.*;


public class Main {

    PrintWriter out;
    BufferedReader b;
    StringTokenizer s;

    String next() throws IOException {
        while (s == null || !s.hasMoreTokens()) {
            String k = b.readLine();
            if (k == null) {
                return null;
            }
            s = new StringTokenizer(k);
        }
        return s.nextToken();
    }

    char nextChar() throws IOException {
        return (char) (b.read());
    }

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

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

    private void solve() throws IOException {
        int n = nextInt(), m = nextInt();
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                if (i % 2 == 0) {
                    out.print('#');
                }
                else {
                    int k = i / 2;
                    if (k % 2 == 0 && j == m - 1) {
                        out.print('#');
                    } else if (k % 2 == 1 && j == 0) {
                        out.print('#');
                    } else {
                        out.print('.');
                    }
                }
            }
            out.println();
        }
    }

    private void run() throws IOException {
        out = new PrintWriter(System.out);
        b = new BufferedReader(new InputStreamReader(System.in));
        solve();
        out.close();
    }

    public static void main(String[] args) throws IOException {
        new Main().run();
    }
}