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.io.IOException;
import java.util.Scanner;
import java.util.logging.Level;
import java.util.logging.Logger;

/**
 *
 * @author Rami
 */
public class JavaApplication3 {

    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) {
       
            // TODO code application logic here
            Scanner a = new Scanner(System.in);

            int n=a.nextInt();
            int m=a.nextInt();
            for(int i=0;i<n;i++){
                if(i%2==0){
                    for(int j=0;j<m;j++)
                        System.out.print("#");
                }else{
                    
                    
                    if(i%4==1){
                        for(int j=0;j<m-1;j++)
                            System.out.print(".");
                        System.out.print("#");
                    }else{
                        System.out.print("#");
                        for(int j=1;j<m;j++)
                            System.out.print(".");
                        
                        
                    }}
                System.out.println("");
                
            }
        
    }
    
}
