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.Arrays;
import java.util.Collections; 
import java.util.HashSet;
import java.util.Set;

import java.util.Scanner;
public class codefo {
	
	public static void main(String[] args) {
		// TODO Auto-generated method stub
		Scanner ob =new Scanner(System.in);
		int n=ob.nextInt();
		int m = ob.nextInt();
		int count=1;
		boolean ch=true;
		for(int i=0;i<n;i++)
		{
			for(int j=0;j<m;j++)
			{
				if(count%2==0)
				{
				if(ch)
				{
					if(j<m-1)
					{
						System.out.print(".");
					}
					else
						System.out.print("#");
				}
				else
				{
					if(j==0)
					{
						System.out.print("#");
					}
					else
						System.out.print(".");
				}
				}
				else
				{
					System.out.print("#");
				}
				
			}
			if(count%2==0)
			ch=!ch;
			
			System.out.println();
			count++;
			
		}
		ob.close();
		}
	}

