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.InputStream;
import java.io.InputStreamReader;
import java.util.StringTokenizer;


public class FoxAndSnake {
    public static void main(String[] args) {
        InputReader reader = new InputReader(System.in);
        int n = reader.nextInt(), m = reader.nextInt();
        for (int i = 1; i <= n; ++i) {
            if (i % 2 != 0) {
                StringBuilder sb = new StringBuilder();
                for (int j = 0; j < m; ++j) {
                    sb.append('#');
                }
                System.out.println(sb.toString());
            } else {
                StringBuilder sb = new StringBuilder();
                if (i % 4 == 0) {
                    sb.append('#');
                    for (int j = 0; j < m - 1; ++j) {
                        sb.append('.');
                    }
                } else {
                    for (int j = 0; j < m - 1; ++j) {
                        sb.append('.');
                    }
                    sb.append('#');
                }
                System.out.println(sb.toString());
            }
        }
    }
}

/**
 * InputReader
 */
class InputReader {
    private BufferedReader reader = null;
    private StringTokenizer tokenizer = null;

    public InputReader(InputStream stream) {
        reader = new BufferedReader(new InputStreamReader(stream));
    }

    public String next() {
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                String line = reader.readLine();
                if (line == null) return line;
                tokenizer = new StringTokenizer(line);
            } catch (IOException e) {
                e.printStackTrace();
                throw new RuntimeException();
            }
        }
        return tokenizer.nextToken();
    }

    public String nextLine() {
        try {
            return reader.readLine();
        } catch (IOException e) {
            throw new RuntimeException();
        }
    }

    public Integer nextInt() {
        return Integer.parseInt(next());
    }

    public Long nextLong() {
        return Long.parseLong(next());
    }

    public Double nextDouble() {
        return Double.parseDouble(next());
    }
}