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 pixels {
	public static void pixels()throws Exception{
		BufferedReader bf  = new BufferedReader(new InputStreamReader(System.in));
	StringTokenizer st = new StringTokenizer (bf.readLine());
		int in1 = Integer.parseInt(st.nextToken());
		int in2 = Integer.parseInt(st.nextToken());
		
		
		for(int i = 0;i<in1/2;i++)
		{ 
			for(int j= 0;j<in2;j++)
				System.out.print("#");
			System.out.println();
			if(i%2==1)
			{
				System.out.print("#");
				for(int j = 0;j<in2-1;j++)
					System.out.print(".");
				System.out.println();
			}
			if(i%2==0)
			{
				
				for(int j = 0;j<in2-1;j++)
					System.out.print(".");
				System.out.print("#");
				System.out.println();
			}
			
			
		}
		for(int j= 0;j<in2;j++)
			System.out.print("#");
	}
			
	public static void main (String [] args)throws Exception{
		pixels();
		
	}
	
	
	
	
	
	
	
	
}