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.Scanner;
public class problem {

    public static void main(String[] args) {
        Scanner input = new Scanner(System.in);
        int number1,number2;
        int i,j,k,x;
        number1 = input.nextInt();
        number2 = input.nextInt();
        int y=1;
        for(i=1;i<=number1;i++){
           if(i%2!=0){
               for(j=1;j<=number2;j++){
                   System.out.print("#");
               }
           }
           else if(i%4==0){
               for(j=1;j<=number2;j++){
                   if(j==1)System.out.print("#");
                   else System.out.print(".");
               }
           }
           else {
               for(j=1;j<=number2;j++){
                   if(j==number2)System.out.print("#");
                   else System.out.print(".");
               }
           }
           System.out.print("\n");
        }
    }
    
}
