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;

public class Snake {
    public static void main(String [] args) throws IOException
    {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String[] in = br.readLine().split(" ");
        int n = Integer.parseInt(in[0]);
        int m = Integer.parseInt(in[1]);
        for(int i = 0, flag=0; i <n; i++)
        {
            for(int j=0, temp = 0; j<m; j++)
            {
                if(i%2==0)
                {
                    System.out.print("#");
                }
                else
                {
                    if(flag==0 && j==m-1)
                    {
                        if(temp !=i)
                            flag=1;
                    }
                    if(flag==0)
                    {
                        System.out.print(".");
                    }
                    else
                    {
                        System.out.print("#");
                        if(j==0)
                        {
                            flag=0;
                            temp = i;
                        }
                    }
                }
            }
            System.out.println();
        }
    }
}
