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 Test
{        
    // srm 279
    public static void main(String[] args)
    {       
        Scanner scan = new Scanner(System.in);
        boolean first = true;
        int i , j , n , m;
        n = scan.nextInt();
        m = scan.nextInt();
        for (i = 0;i < n;i ++)
        {
            if (i % 2 == 0)
                System.out.println(getString(m));
            else
            {
                if (first)
                {
                    first = false;
                    System.out.println(getPosString(m - 1 , m));
                }
                else
                {
                    first = true;
                    System.out.println(getPosString(0 , m));
                }
            }
        }
    }
    
    private static String getString(int n)
    {
        StringBuilder builder = new StringBuilder();
        for (int i = 0;i < n;i ++)
            builder.append("#");
        return builder.toString();
    }
    
    private static String getPosString(int pos , int n)
    {
        StringBuilder builder = new StringBuilder();
        for (int i = 0;i < n;i ++)
        {
            if (i == pos)
                builder.append("#");
            else
                builder.append(".");
        }
        return builder.toString();
    }
    
}

















