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.*;
public class TestClass {
    public static void main(String args[] ) throws Exception {
        Scanner s = new Scanner(System.in);
        int n = s.nextInt();
        int m = s.nextInt();
        String s1="";
        boolean b1=true;
        for(int i=1;i<=n;i++){
            s1="";
            for (int j=1;j<=m ;j++ ) {
                if(i%2==0 ){
                    if(j==1 && b1==false){
                        s1+="#";
                        //b1=true;
                    }else if(j==m && b1==true) {
                        s1+="#";
                        //b1=false;
                    }else{
                        s1+=".";
                    }
                }else{
                    s1+="#";
                }
            }
            if(i%2==0){b1=!b1;}
            System.out.println(s1);
        }
    }
}
