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;

public class FoxAndSnake_290_2 {
    public static void main (String[] args) {
        Scanner	sc = new Scanner(System.in);
        PrintWriter pw = new PrintWriter(System.out);
        int n =  sc.nextInt(), m =  sc.nextInt(), i, j = 0;
        char[] sharps = new char[m];
        char[] sharpDots = new char[m];
        char[] dotsSharp = new char[m];
        sharpDots[0] = '#';
        dotsSharp[m - 1] = '#';
        for (i = 0; i < m; i++) {
            sharps[i] = '#';
            if (i > 0)
                sharpDots[i] = '.';
            if (i < m - 1)
                dotsSharp[i] = '.';
        }
        for (i = 0; i < n; i++) {
            if (i % 2 == 0)
                pw.println(new String(sharps));
            else {
                if (j % 2 == 0)
                    pw.println(new String(dotsSharp));
                else
                    pw.println(new String(sharpDots));
                j++;
            }
        }
        pw.close();
    }
}