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

#########
........#
#########
#........
#########
........#
#########
#........
#########
/**
 * @(#)FoxAndSnake.java
 *
 *
 * @author 
 * @version 1.00 2016/8/14
 */


import java.io.*;
import java.util.*;

public class FoxAndSnake {
        
    public FoxAndSnake() {
    }

    public static void main(String[] args) {
        // TODO code application logic here
        FoxAndSnake myWork = new FoxAndSnake();
        myWork.Begin();
        
    }
    void Begin(){
    	Scanner scan = new Scanner(System.in);
        
        int r = scan.nextInt();
        int c = scan.nextInt();
        boolean flip = false;
        
        for(int i = 1; i <= r; i++){
        	for(int j = 1; j <= c; j++){
        		if(i % 2 == 1){
        			if(j == c)
        				System.out.println("#");
        			else
        				System.out.print("#");
        		}else{
        			if(j == c){
        				if(!flip)
        				{
        					System.out.println("#");
        					flip = true;
        				}
        				else{
        				
        					System.out.println(".");
        					flip = false;
        				}
        			}
        			else{
        				if(flip && j==1)
        					System.out.print("#");
        				else
        					System.out.print(".");
        			}
        		}
        	}
        }
    }
}
