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 FoxAndSnake {
   public static void main(String args[]){
       Scanner in = new Scanner(System.in);
       int r = in.nextInt();
       int c = in.nextInt();
       char arr [][] = new char[r][c];
       boolean haveSnack = false;
       for (int i = 1; i <= r; i++) {
           for (int j = 1; j <= c; j++) {
               if(i % 2 == 1)
                   haveSnack = true;
               else{
                   if(i % 4 == 2)
                       haveSnack = (j== c);
                   if(i % 4 == 0)
                       haveSnack = (j==1);
               }
               System.out.print(haveSnack ? '#' : '.');
}
                  System.out.println("");

       }
       }
}