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.*;
public class Main
{
 public static void main(String[] args)throws IOException
{
 Scanner s=new Scanner(System.in);
 int m=s.nextInt();
 int n=s.nextInt();
 int i,j;
 char[][] a=new char[m][n];
 for(i=1;i<=m;i++)
{
 for(j=1;j<=n;j++)
{
if(i==1||i%2!=0)
 System.out.print('#');
else if(i%2==0&&i%4==0)
{
 if(j==1)
 System.out.print('#');
 else
System.out.print('.');
}
else if(i%2==0&&i%4!=0)
{
 if(j==n)
 System.out.print('#');
else
System.out.print('.');
}
}System.out.println();
}
 }
}