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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {

    /**
     * @param args
     */
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        try {
            String[] input = br.readLine().trim().split(" ");
            int n = Integer.parseInt(input[0]);
            int m = Integer.parseInt(input[1]);
            boolean check = true;
            for (int i = 0; i < n; i++) {
                for (int j = 0; j < m; j++) {
                    if(i%2==0){
                        System.out.print("#");
                    }else{
                        if(check){
                            if(j==m-1){
                                System.out.print("#");
                            }else{
                                System.out.print(".");
                            }
                        }else{
                            if(j==0){
                                System.out.print("#");
                            }else{
                                System.out.print(".");
                            }
                        }
                    }
                }
                if(i%2!=0){
                    if(check){
                        check=false;
                    }else
                        check=true;
                }
                System.out.println();
            }
        } catch (IOException e) {
            // TODO Auto-generated catch block
            e.printStackTrace();
        }
        
    }

}
