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.util.StringTokenizer;
public class Main {
    public static void main(String[] args) throws IOException {
        BufferedReader bf = new BufferedReader(new InputStreamReader(System.in));
        StringTokenizer tk = new StringTokenizer(bf.readLine());
        int m = Integer.parseInt(tk.nextToken());
        int n = Integer.parseInt(tk.nextToken());
        String oddo="";
        String even="#";
        String oddt="#";
        for (int i = 0; i < n-1; i++) {
            oddo+=".";
            oddt+=".";
            even+="#";
        }
        oddo+="#";
        boolean flag=false;
        String res="";
        for (int i = 0; i < m; i++) {
            if(i%2==0){
                res+=even+"\n";
            }
            else {
                if (flag == false){
                    res += oddo+"\n";
                    flag=true;
                    }
                else if (flag == true){
                    res += oddt+"\n";
                    flag=false;
                }

            }
        }
        PrintWriter pw = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
        pw.write(res+"\n");
        pw.flush();
    }
}