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.*;
import java.math.*;
import java.util.*;
public class Open {
public static void main(String[] args) throws NumberFormatException, IOException{
BufferedReader x=new BufferedReader(new InputStreamReader(System.in));
String[]arr=x.readLine().split(" ");
int m=Integer.parseInt(arr[0]);
int n=Integer.parseInt(arr[1]);
String result="";
int zz=0;
boolean flag=true;
int c=0;
for(int r=0;r<m;r++){
    
    for(int t=0;t<n;t++){
        c=t;
        if(r%2==0){
            result+="#";
        }else{
            if(flag){
    zz++;
    flag=false;
            }
    if(zz%2==1 && t==n-1){
        result+="#";
    }else if(zz%2==0 && t==0){
        result+="#";
    }else{
        result+=".";
    }
        }
    }
    if(c==n-1 && r%2==0){
        flag=true;
    }
    result+="\n";
}



System.out.println(result);
}
}




