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.*;

public class Sub
{
  public static void main(String[]args)
  {
    Scanner sc = new Scanner(System.in);
    String s = sc.nextLine();
    String [] sarr = s.split(" ");
    int n = Integer.parseInt(sarr[0]);
    int m = Integer.parseInt(sarr[1]);
    
    if (n >= 3 && m <= 50)
    {
      for (int i=1; i <= n; i++)
      {
        if (i%2 == 0)
        {
          if ((i/2)%2 == 0)
          {
            System.out.print("#");
            for (int j = 1; j <= m-1; j++)
            {
              System.out.print(".");
            }
            System.out.println();
          }
          else
          {
            for (int j = 1; j <= m-1; j++)
            {
              System.out.print(".");
            }
            System.out.println("#");
          }
        }
        else
        {
          for (int j = 1; j <= m; j++)
          {
            System.out.print("#");
          }
          System.out.println();
        }
      }
    }
  }
}