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;
/**
 *
 * @author speed center
 */
public class testing {

    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) {
     
  Scanner x=new Scanner(System.in);  
  int n=x.nextInt();
  int m=x.nextInt();
        int count=0;
        
        for (int i = 1; i <= n ;i++) {
            if(i%2!=0){
            
                for (int j = 1; j <=m; j++) {
                    System.out.print("#");
                    
                } }
            else{
            count++;
                for (int j = 0; j < m; j++) {
                    if(count%2==1&&j==m-1){
                        System.out.print("#");
                    }
                    else if(count%2==0&&j==0){System.out.print("#");}
                   
                    else{System.out.print(".");}}            
            }
            System.out.println();
    }   
    }}
   
