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.PrintStream;
import java.util.Scanner;

public class Main {
    private PrintStream out;
    private Scanner in;

    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        new Main(in, System.out).solve();
        in.close();
    }

    public Main(Scanner in, PrintStream out) {
        this.in = in;
        this.out = out;
    }

    public void solve() {
        // TODO: Solve the problem
        int r = in.nextInt();
        int c = in.nextInt();
        String body = getBody(c);
        String leftBody = getHead(c, false);
        String rightBody = getHead(c, true);

        for(int i=0; i<r; ++i) {
            String line = "";
            if( (i&1) == 0 ) {
                line = body;
            } else {
                if( (i-1)%4 == 0 ) {
                    line = rightBody;
                } else {
                    line = leftBody;
                }
            }
            out.println(line);
        }
    }

    public String getBody(int n) {
        StringBuilder builder = new StringBuilder();
        for(int i=0; i<n; ++i) {
            builder.append('#');
        }
        return builder.toString();
    }

    public String getHead(int n, boolean right) {
        StringBuilder builder = new StringBuilder();
        if(!right) builder.append('#');
        for(int i=0; i<n-1; ++i) {
            builder.append('.');
        }
        if(right) builder.append('#');
        return builder.toString();
    }
}
