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.InputStreamReader;

public class Codeforces {
    public  static void snakepattern(int n,int m){
        StringBuilder s1= new StringBuilder();
        StringBuilder s2= new StringBuilder();

        for (int i=0;i<m;i++){
            s1.append("#");
        }
        for (int i=0;i<m-1;i++){
            s2.append(".");
        }
        s2.append("#");
        StringBuilder s3= new StringBuilder(s2);
        s3.setCharAt(0,'#');
        s3.setCharAt(m-1,'.');
        boolean f=true;
        for (int i=0;i<n;i++){
            if(i%2==0) System.out.println(s1);
            else {
                if (f) {
                    System.out.println(s2);
                    f=false;
                }
                else {
                    System.out.println(s3);
                    f=true;
                }
            }
        }
    }

    public static void main(String[] args) throws  Exception{
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        String[] s=br.readLine().trim().split(" ");
        int n=Integer.parseInt(s[0]);
        int m=Integer.parseInt(s[1]);
        snakepattern(n,m);

    }
}
