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.*;
import java.io.*;
public class codefeo
{
    public static void main(String[] args) throws Exception{
        BufferedReader bff=new BufferedReader(new InputStreamReader(System.in));
        PrintWriter pff=new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
        String[] st=bff.readLine().split(" ");
        int a=Integer.parseInt(st[0]);
        int b=Integer.parseInt(st[1]);
        boolean salto=true;
        boolean der=true;
        while(a!=0){
            if(salto){
                for(int i=0;i<b;i++){
                    pff.printf("%c",'#');
                }
            }
            else{
                if(der){
                    for(int i=1;i<b;i++){
                        pff.printf("%c",'.');
                    }
                    pff.printf("%c",'#');
                }
                else{
                    pff.printf("%c",'#');
                    for(int i=1;i<b;i++){
                        pff.printf("%c",'.');
                    }
                }
                der=!der;
            }
            pff.printf("%n");
            salto=!salto;
            a--;
        }
        pff.flush();
    }
}
