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.util.*;
public class dreamonandstairs {
static Vector v;
	public static void main(String[] args) 
	{
		v=new Vector();
		Scanner s=new Scanner(System.in);
		int n=s.nextInt();
		int m=s.nextInt();
		String str1="";
		String str2="";
		String str3="";
		for(int i=0;i<m;i++)
			str1=str1+'#';
		for(int i=0;i<m-1;i++)
			str2+='.';
		str2+='#';
		str3+='#';
		for(int i=0;i<m-1;i++)
			str3+='.';
		for(int i=0;i<n;i++)
		{
			if(i%2==0)
				System.out.println(str1);
			else if(i%4==3)
				System.out.println(str3);
			else
				System.out.println(str2);
		}
	}

}
