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 Cf510A {
    public static void main(String[] args) {
        Scanner sc=new Scanner(System.in);
        int a=sc.nextInt();
        int b=sc.nextInt();
       
        for(int i=1;i<=a;i++)
        {
            
            for(int j=1;j<=b;j++)
            {
                
                if(i%2!=0)
                {
                    System.out.print('#');
                }
                else
                {   
                    if(i%4==0 && j==1)
                        System.out.print('#'); 
                    else if(i%4==0 && j>1)
                        System.out.print('.'); 
                    else if(j==b)
                       System.out.print('#'); 
                    else
                        System.out.print('.'); 
                    
                }
            }
            System.out.println();
        }
    }
    
}
