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.ArrayList;
import java.util.Arrays;
import java.util.Scanner;


public class Em {
 static ArrayList<String> importants; 
class person implements Comparable<person>{
    String name;
    String type;
    int place;

        public person(String name, String type, int place) {
            this.name = name;
            this.type = type;
            this.place = place;
        }

  

    @Override
    public int compareTo(person o) {
        if(this.type.equals("captain"))return -1;
   if(this.type.equals(o.type)){return (o.place-this.place);}
   else{
       if(this.type.equals("rat"))return 1;
       else  if(this.type.equals("captain"))return -1;
       else  if(o.type.equals("captain"))return 1;
       else        if(this.type.equals("man"))return -1;
       else {return (o.place-this.place);}


    }

    }
    
} 
 public static void main(String[] args) {
     new Em().run();
 }

   public  void run() {
       importants = new ArrayList<>();
       importants.add("rat");
              importants.add("child");

                     importants.add("woman");

    Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
int m = sc.nextInt();
boolean r= true;
for(int i=0;i<n;i++)
    if(i%2==0){for(int j=0;j<m;j++)System.out.print("#");System.out.println();}
    else if(r){for(int j=0;j<m-1;j++)System.out.print(".");System.out.print("#");System.out.println();r=!r;}
else
        {System.out.print("#");for(int j=0;j<m-1;j++)System.out.print(".");System.out.println();r=!r;}
}
}