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 Test {

    public static void main(String[] args) throws IOException {

        Scanner in = new Scanner(System.in);
        int n = in.nextInt();
        int n1 = in.nextInt();
//        BufferedReader pr = new BufferedReader(new InputStreamReader(System.in));
//        String st = pr.readLine();
        StringBuilder br1 = new StringBuilder().append("#");
        StringBuilder br2 = new StringBuilder().append("#");
        StringBuilder br3 = new StringBuilder().append("#");
        for (int i = 1; i < n1; i++) {
            br1.append("#");
            br3.append(".");
            br2.insert(0, ".");
        }
        for (int i = 0; i < n; i++) {
            if((i+1)%2 != 0)
                System.out.println(br1);
            else if((i/2)%2 == 0)
                System.out.println(br2);
            else
                System.out.println(br3);
        }
        
        
    }
}