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.*;

public class P49 {
    static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    static PrintWriter pw = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));

    public static void main(String[] args) throws IOException {
        String[] split = br.readLine().split(" ");
        int row = Integer.parseInt(split[0]);
        int col = Integer.parseInt(split[1]);
        char snake = '#', empty = '.';

        StringBuilder full = new StringBuilder(), skipped = new StringBuilder();
        for(int i = 0; i < col; i++) full.append(snake);
        for(int i = 1 ; i < col; i++) skipped.append(empty);

        for(int i = 1; i <= row; i++) {
            if(i % 2 == 1) pw.println(full);
            else if(i % 4 == 0) pw.println(snake + skipped.toString());
            else pw.println(skipped.toString() + snake);
        }

        pw.close();
    }
}