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.*;
import java.math.*;
import static java.lang.System.out;

public class CF510A
{
    public static void main(String[] args) throws IOException
    {
        //BufferedReader f = new BufferedReader(new FileReader("/Users/spencersharp/Desktop/input.txt"));
        
        BufferedReader f = new BufferedReader(new InputStreamReader(System.in));
        PrintWriter writer = new PrintWriter(new BufferedOutputStream(System.out));
        
        String output = ""; //Write all output to this string

        //Code here
        String line = f.readLine();
        StringTokenizer st = new StringTokenizer(line);
        int n = Integer.parseInt(st.nextToken());
        int m = Integer.parseInt(st.nextToken());
        
        for(int i = 0; i < n; i++)
        {
            for(int j = 0; j < m; j++)
            {
                if(i%2==0)
                    output += "#";
                else
                {
                    if((i+1)%4==0)
                    {
                        if(j==0)
                            output += "#";
                        else
                            output += ".";
                    }
                    else
                    {
                        if(j==m-1)
                            output += "#";
                        else
                            output += ".";
                    }
                }
            }
            output += "\n";
        }
        output = output.substring(0,output.length()-1);
        //Code here

        //out.println(output);
        
        writer.println(output);
        writer.close();
        System.exit(0);
        
    }
}