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.*;
import java.util.*;
public class yay {
	public static int mod(int a, int b){
		return (a%b + b)%b;
	}

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		PrintWriter out = new PrintWriter(System.out);
		int n = sc.nextInt();
		int m = sc.nextInt();
		char h = '#';
		char d = '.';
		int count = 1;
		for(int i = 0;i<n/2;i++)
		{
			if(count%2==1)
			{
				for(int j = 0;j<m;j++)
				{
					out.print(h);
				}
				out.println();
				for(int j = 0;j<m-1;j++)
				{
					out.print(d);
				}
				out.print(h);
				out.println();
				count++;
			}
			else
			{
				for(int j = 0;j<m;j++)
				{
					out.print(h);
				}
				out.println();
				out.print(h);
				for(int j = 0;j<m-1;j++)
				{
					out.print(d);
				}
				out.println();
				count++;
			}
		}
		for(int j = 0;j<m;j++)
		{
			out.print(h);
		}
		out.println();
		out.close();
	}

}