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 Main {
    public static void main(String[] args)
    {
        // TODO code application logic here
        Scanner l = new Scanner(System.in);
        int n= l.nextInt();
        int m =l.nextInt();
        int cont = 0;
        for (int i = 0; i < n; i++)
        {
            String cl ="#";
            if(i%2==0)
            {
                for (int j = 1; j < m; j++)
                {
                    cl+="#";                                        
                }
            }
            else
            {
                if(cont%2==0)
                {
                    for (int j = 1; j < m; j++)
                    {
                        cl="."+cl;                                        
                    }
                }
                else
                {
                    for (int j = 1; j < m; j++)
                    {
                        cl=cl+".";                                        
                    }
                }
                cont++;
            }
            System.out.println(cl);
        }
    }
}