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.InputStreamReader;

/**
 * Created by Bharani Krishna on 1/10/2016.
 */
public class A510 {
    public static void main(String[] args) throws IOException {
        BufferedReader ip = new BufferedReader(new InputStreamReader(System.in));
        String s = ip.readLine();
        StringBuilder sb = new StringBuilder();
        String[] sp = s.split(" ");
        int n = Integer.parseInt(sp[0]);
        int m = Integer.parseInt(sp[1]);

        int i = 0, j = 0;

        for(; i < n; i++)
        {
            if(i % 2 == 0)
                for(j = 0; j < m; j++)
                    sb.append("#");
            else
            {
                if(((i-1)/2)%2 == 0)
                {
                    for(j = 0; j < m-1; j++)
                        sb.append(".");

                    sb.append("#");
                }
                else
                {
                    sb.append("#");
                    for(j = 1; j < m; j++)
                        sb.append(".");
                }
            }

            if(i != n-1)
                sb.append("\n");
        }

        System.out.print(sb);
    }
}