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.Scanner;


public class Problems {
	
	public static int gcd (int a , int b)
	{
		if(a==0 )
			return b;
		else
			if(b==0)
				return a;
			else
				if(a<=b )
					return gcd(a,b %a);
					else
						return gcd(b,a%b);
		
	}
	
	
	public static void main(String[] args) {

		
		Scanner sc=new Scanner(System.in);
		int n  = sc.nextInt();	
		int m  = sc.nextInt();	
		
		boolean right=true;
		for(int i = 0 ; i<n ; i++)
		{
			String x= "";
			
			if(i%2==0) {
			
				for(int j = 0 ;j<m ; j++)
				{
					x+="#";
					
				}
			
			}
			else
			{
					for(int j = 0 ;j<m-1 ; j++)
					{
						x+=".";
					}
					if(right) {
					x+="#";
					right=false;}
					else {
						x="#"+x;
						right=true;}
						
			}
			System.out.println(x);
		}
		
		
		
		
		
		
		
		
		
		
		}
}

