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.PrintWriter;
import java.util.Scanner;

/**
 * @author pvasilyev
 * @since 21 Oct 2016
 */
public class A510 {

    public static void main(String[] args) {
        final Scanner reader = new Scanner(System.in);
        final PrintWriter writer = new PrintWriter(System.out);

        solve(reader, writer);

        writer.close();
        reader.close();
    }

    private static void solve(final Scanner reader, final PrintWriter writer) {
        final int n = reader.nextInt();
        final int m = reader.nextInt();
        final StringBuilder builder = new StringBuilder();

        final StringBuilder sharps = new StringBuilder();
        final StringBuilder dots = new StringBuilder();
        for (int i = 0; i < m; ++i) {
            sharps.append('#');
            if (i < m -1) {
                dots.append('.');
            }
        }
        for (int i = 0; i < n; ++i) {
            if (i % 2 == 0) {
                builder.append(sharps);
            } else if (i % 4 == 1) {
                builder.append(dots).append('#');
            } else {
                builder.append('#').append(dots);
            }
            builder.append('\n');
        }

        writer.print(builder.toString());
    }

}
