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 Main {

    public static void main(String[] args) {
        Scanner sc=new Scanner(System.in);

	int m= sc.nextInt();
	int n=sc.nextInt();
	int count=0;

	for(int i=0;i<m;i++)
    {
        if(i%2==0)
        {
            for(int j=0;j<n;j++)
            {
                System.out.print("#");
            }
        }
        else
        {
            if(count%2==0)
            {
                for(int j=0;j<n-1;j++)
                {
                    System.out.print(".");
                }
                System.out.print("#");
                count++;
            }
            else
            {
                System.out.print("#");
                for(int j=1;j<n;j++)
                {
                    System.out.print(".");
                }
                count++;
            }

        }
        System.out.println();
    }
    }
}
