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;



/*
 * To change this license header, choose License Headers in Project Properties.
 * To change this template file, choose Tools | Templates
 * and open the template in the editor.
 */

/**
 *
 * @author ubuntu-lover
 */
public class JavaApplication4 {

    /**
     * @param args the command line arguments
     */
    public static void printEv(int column){
        for(int counter = 0 ; counter < column ; counter++ ){
            System.out.print("#");
        }
        System.out.println();
    }
    public  static void printOd1(int column){
        for (int i = 0; i < column - 1; i++) {
            System.out.print(".");
        }
        System.out.println("#");
    }
    public  static void printOd2(int column){
        System.out.print("#");
        for (int i = 0; i < column - 1; i++) {
            System.out.print(".");
        }
        System.out.println();
    }
    public static void main(String[] args) {
        Scanner input = new Scanner(System.in);
        int row = input.nextInt();
        int column = input.nextInt();
        for(int counter = 0 ; counter < row ; counter++ ){
            if((counter%2)==0){
                printEv(column);
            }else{
            if((counter%4)==1)
                printOd1(column);
            else
                printOd2(column);
        }
        }
    }
    
}
