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 First_Java_Program
{
    public static void main (String[]args)
    {
      Scanner input= new Scanner(System.in);
     
     int row,col,z=1;
     row=input.nextInt();
     col=input.nextInt();
     for(int i = 1 ; i<= row;i++)
     {
         if(i%2!=0)
         {
             for(int j =1;j<=col;j++)
                 System.out.print("#");
             System.out.println();
             
         }
         else
         {
             
             
             
             if(z==1)
             {
                 for(int j =1 ; j<col;j++)
                     System.out.print(".");
                 System.out.print("#");
                 System.out.println();
                 z=0;
             }
             else
             {
                 System.out.print("#");
                  for(int j =1 ; j<col;j++)
                     
                 System.out.print(".");
                 System.out.println();
                 z=1;
                 
             }
             
             
         }
     }
    }
}