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

#########
........#
#########
#........
#########
........#
#########
#........
#########
/* package whatever; // don't place package name! */

import java.util.*;
import java.lang.*;
import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */
public class Ideone
{
	public static void main (String[] args) throws java.lang.Exception
	{
		// your code goes here
		Scanner sc = new Scanner(System.in);
		int flag=0;
		int row = sc.nextInt();
		int col = sc.nextInt();
		char[][] arr=new char[row][col];
		for(int i=0;i<row;i+=2)
			for(int j=0;j<col;j++)
				arr[i][j]='#';
		for(int i=1;i<row;i+=2)
		{
			flag=(flag+1)%2;
			for(int j=0;j<col;j++)
			{
				if(flag==0)
				{
					if(j==0)
						arr[i][j]='#';
					else
						arr[i][j]='.';
				}
				else 
				{
					if(j==col-1)
						arr[i][j]='#';
					else
						arr[i][j]='.';
				}
			}
		}
		for(int i=0;i<row;i++){
			for(int j=0;j<col;j++)
				System.out.print(arr[i][j]);
			System.out.println();
		}
				
	}
}