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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Scanner;

public class Main {

    public static void main(String[] args) throws IOException {
        BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
        Scanner scanner = new Scanner(reader.readLine());

        int rows = scanner.nextInt();
        int length = scanner.nextInt();

        boolean nextRight = true;
        StringBuilder result = new StringBuilder("");

        for (int i = 0; i < rows; i++) {
            if (i % 2 != 0){
                for (int j = 0; j < length; j++) {
                    result.append('.');
                }
                if (nextRight){
                    result.setCharAt(result.length() - 1, '#');
                    System.out.println(result.toString());
                    result = new StringBuilder("");
                    nextRight = false;
                } else {
                    result.setCharAt(0, '#');
                    System.out.println(result.toString());
                    result = new StringBuilder("");
                    nextRight = true;
                }
            } else {
                for (int j = 0; j < length; j++) {
                    result.append('#');
                }
                System.out.println(result.toString());
                result = new StringBuilder("");
            }

        }

    }
}
