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.OutputStream;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 * @author Artyom Korzun
 */
public class Main {
	public static void main(String[] args) {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		FastScanner in = new FastScanner(inputStream);
		PrintWriter out = new PrintWriter(outputStream);
		TaskA solver = new TaskA();
		solver.solve(1, in, out);
		out.close();
	}
}

class TaskA {

    public void solve(int testNumber, FastScanner in, PrintWriter out) {
        int n = in.nextInt();
        int m = in.nextInt();

        char[][] a = new char[n][m];
        for (int i = 0; i < n; i += 2) {
            for (int j = 0; j < m; j++) {
                a[i][j] = '#';
            }
        }

        for (int i = 1; i < n; i += 2) {
            for (int j = 0; j < m; j++) {
                a[i][j] = '.';
            }
        }

        boolean last = true;
        for (int i = 1; i < n; i += 2, last = !last) {
            a[i][last ? (m - 1) : 0] = '#';
        }

        for (int i = 0; i < n; i++) {
            out.println(a[i]);
        }
    }

}

class FastScanner {

    private final BufferedReader reader;

    private StringTokenizer tokenizer;

    public FastScanner(InputStream stream) {
        reader = new BufferedReader(new InputStreamReader(stream));
    }

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

    public String next() {
        while (tokenizer == null || !tokenizer.hasMoreTokens())
            tokenizer = new StringTokenizer(nextLine());

        return tokenizer.nextToken();
    }

    private String nextLine() {
        try {
            return reader.readLine();
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }

}

