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{
    private static int count_elements(String line, char separate_element){
        int counter = 0;
        for(int index = 0; index < line.length(); index++){
            if(line.charAt(index) == separate_element)
                counter++;
        }
        return counter + 1;
    }

    private static int[] to_array(String line, char separate_element){
        int array[] = new int[count_elements(line, separate_element)], counter = 0;
        String number = "";
        for(int index = 0; index < line.length(); index++){
            if(line.charAt(index) != separate_element)
                number += line.charAt(index);
            else if(line.charAt(index) == separate_element){
                array[counter] = Integer.parseInt(number);
                number = "";
                counter++;
            }
        }
        array[counter] = Integer.parseInt(number);
        return array;
    }
    
    private static void sout_snake(int rows, int colums){
        int counter = 0;
        for(int rep_index = 0; rep_index < rows; rep_index++) {
            for (int index = 0; index < colums; index++) {
                if(rep_index % 2 == 0)
                    System.out.print('#');
                else if(rep_index % 2 != 0){
                    if(counter % 2 == 0 && index == colums - 1)
                        System.out.print('#');
                    else if(counter % 2 != 0 && index == 0)
                        System.out.print('#');
                    else
                        System.out.print('.');
                }
            }
            if(rep_index % 2 != 0)
                counter++;
            System.out.println();
        }
    }

    public static void solve() {
        String line;
        char separator = ' ';
        Scanner scanner = new Scanner(System.in);
        line = scanner.nextLine();
        sout_snake(to_array(line, separator)[0], to_array(line, separator)[1]);
    }
    
    public static void main(String[] args){
        solve();
    }
}

