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.HashSet;
import java.util.Scanner;

/**
 * Created by Ferrumit on 6/17/2016.
 */
public class _510A {
    public static void main(String args[]) {
        Scanner in = new Scanner(System.in);
        int n = in.nextInt();
        int m = in.nextInt();
        String a = "";
        String b = "";
        String c = "";
        for(int i=0;i<m;i++)
            a+="#";
        for(int i=0;i<m-1;i++)
        {
            b+=".";
            c+=".";
        }
        b+="#"; c = "#"+c;
        for(int i=0;i<n;i++) {
            if (i%2 == 0)
                System.out.println(a);
            if (i%4 == 1)
                System.out.println(b);
            if (i%4 == 3)
            System.out.println(c);
        }

    }
}
