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.util.*;
import java.io.*;

public class test
{
public static void main(String[] args) throws IOException
{
InputStreamReader inr=new InputStreamReader(System.in);
BufferedReader br=new BufferedReader(inr);

String [] input=br.readLine().split(" ");
int n=Integer.parseInt(input[0]);
int m=Integer.parseInt(input[1]);

int count=0;
for(int i=1;i<=n;i++)
{
if(i%2!=0)
count++;
                for(int j=1;j<=m;j++)
                {
                            if(i%2!=0)
                            {
                                System.out.print("#");
                            }
                            else
                            {
                                    if(count%2!=0)
                                    {

                                    if(j<m)
                                        System.out.print(".");
                                    else
                                        System.out.print("#");

                                    
                                    }
                                    else
                                    {
                                    if(j==1)
                                        System.out.print("#");
                                    else
                                        System.out.print(".");

                                    
                                    }
                                     
                            
                            }

                }
                System.out.println();
}

}


}