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 javax.net.ssl.SSLContext;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.HashMap;

/**
 * Created by KH9275 on 30-11-2016.
 */
public class Temp {

    public static void main(String[] args) throws IOException {
        BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));

        String[] s = reader.readLine().split(" ");
        int h = Integer.parseInt(s[0]);
        int w = Integer.parseInt(s[1]);
        boolean left = true;

        for(int i=1; i<=h; i++){
            if(i%2==1){
                for(int j=0; j<w; j++)
                    System.out.print("#");
            }else{
                if(left){
                    left=!left;
                    for(int j=1; j<w; j++)
                        System.out.print(".");
                    System.out.print("#");
                }else{
                    left=!left;
                    System.out.print("#");
                    for (int j=1; j<w; j++)
                        System.out.print(".");
                }
            }
            System.out.println("");
        }

    }

}
