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

#########
........#
#########
#........
#########
........#
#########
#........
#########
/*
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 * To change this template file, choose Tools | Templates
 * and open the template in the editor.
 */

import java.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
/**
 *
 * @author fz
 */
public class CF_510A {
    Scanner in = new Scanner(System.in);

    private CF_510A() throws IOException {
        //in.nextLine();
        int n = in.nextInt();
        int m = in.nextInt();
        String[] res = new String[n];
        String s1 = "";
        String s2 = "";
        String s3 = "";
        for(int i = 0; i < m; i++)
            s1 = s1 + "#";
        for(int i = 0; i < m - 1; i++) {
            s2 = s2 + ".";
            s3 = s3 + ".";
        }
        s2 = s2 + "#";
        s3 = "#" + s3;
        for(int i = 0; i < n; i++) {
            if(i % 4 == 0 || i % 4 == 2) {
                res[i] = new String(s1);
            }
            else if(i % 4 == 1) {
                res[i] = new String(s2);
            }
            else {
                res[i] = new String(s3);
            }
            
        }
        for(int i = 0; i < n; i++)
            out(res[i]);

    }
    
    private int[] ns(int n) {
        int[] res = new int[n];
        for(int i = 0; i < n; i++) {
            res[i] = in.nextInt();
        }
        return res;
    }
    private int[][] getMat(int m, int n) {//m rows and n cols
        int[][] res = new int[m][n];
        for(int i = 0; i < m; i++)
            for(int j = 0; j < n; j++)
                res[i][j] = in.nextInt();
        return res;
    }
    private static void out(Object x) {
        System.out.println(x);
    }
    public static void main(String[] args) throws IOException {
        new CF_510A();
    }
}
