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.*;
import java.util.*;

public class Solution {
    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String vals[] = br.readLine().trim().split(" ");
        int rows = Integer.parseInt(vals[0]);
        int cols = Integer.parseInt(vals[1]);
        boolean right = true;
        for (int i = 0; i < rows; i++) {
            if (i % 2 == 0) {
                for (int j = 0; j < cols; j++) {
                    System.out.print("#");
                }
            } else {
                if (right == true) {
                    for (int j = 0; j < cols - 1; j++)
                        System.out.print(".");
                    System.out.print("#");
                    right = false;
                } else if (right == false) {
                    System.out.print("#");
                    for (int j = 1; j < cols; j++)
                        System.out.print(".");
                    right = true;
                }
            }
            System.out.println();
        }
    }
}
