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 Main {
     public static void main(String[] args) {
          Scanner in = new Scanner(System.in); 
           int n = in.nextInt();
           int m = in.nextInt();
           int a = 1 , b = 3 ;
           char [] [] s = new char [n] [m];
           for(int i=0; i<n; i++)
           { for (int r=0; r<m; r++)
               {
                if (i%2==0)
                  s[i][r] = '#' ;   
                else if (i==a && r==m-1)
                { s[i][r] = '#' ;
                  a=a+4 ;}
                else if (i==b && r==0) 
                { s[i][r] = '#' ;
                  b=b+4 ;}
                else 
                    s[i][r] ='.' ;
                System.out.print(s[i][r]);
               }
              System.out.println();
           }
}
}