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.Scanner;

public class Snake
{
  public static void main(String[] args)
  {
    Scanner sc = new Scanner(System.in);
    int r = sc.nextInt();
    int c = sc.nextInt();
    char next = 'r';
    boolean f = true;
    boolean flag = true;
    for(int i = 0 ; i < r ; i++)
    {
      for(int j = 0 ; j < c ; j++)
      {
        if(f && flag)
          System.out.print('#');
        else if(f && !flag)
        {
          if(j == 0)
            System.out.print('#');
          else
            System.out.print('.');
        }
        else
        {
          if(j+1 == c)
           System.out.print('#');
          else
           System.out.print('.');
        }
      }
      if(f && flag)
      {
        if(next == 'r')
        {
          flag = false;
          f = false;
          next = 'l';
        }
        else
        {
          flag = false;
          next = 'r';
        }
      }
      else
      {
        flag = true;
        f = true;
      }
      System.out.println("");
    }
  }
}