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 {

    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) {
        // TODO code application logic here
    Scanner s = new Scanner(System.in) ;
    int x = s.nextInt() ; int y = s.nextInt() ;
    char ar[][] = new char[x][y] ;
    for(int i = 0 ; i < ar.length ; i += 2)
        for(int j = 0 ; j < ar[i].length ; j++)
            ar[i][j] = '#' ;
    
    
    for(int i = 1 ; i < ar.length ; i += 4){
        for(int j = 0 ; j < ar[i].length ; j++)
             ar[i][j] ='.' ;
    ar[i][ar[i].length - 1 ] = '#' ;
    
    }
       for(int i = 3 ; i < ar.length ; i += 4){
        for(int j = 0 ; j < ar[i].length ; j++)
             ar[i][j] ='.' ;
   ar[i][0] = '#' ;
    
    }
    
    
    
    
    
    
    
    
    
    
    for(int i = 0 ; i < ar.length ; i += 1)
    {for(int j = 0 ; j < ar[i].length ; j++)
            System.out.print(ar[i][j]);
        System.out.println("");}
    }
    
}
