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 s {
	public static void main(String[] args) {		
		Scanner in = new Scanner(System.in);
		int r = in.nextInt();
		int c = in.nextInt();
		char a[][] = new char[r][c];
		boolean flag=true;
		for(int i=0;i<r;i++)
		{
			boolean flag1= false;
			for(int j=0;j<c;j++)
			{
				if(i%2==0)
				{
					a[i][j]='#';
					flag1= true;
				}
				else if(i%2!=0 && flag==true)
				{
					if(j==c-1)
					{
						a[i][j]='#';
						break;
					}
					a[i][j]='.';
				}
				
				else if(i%2!=0 && flag==false)
				{
					if(j==0)
					{
						a[i][j]='#';
						continue;
					}
					a[i][j]='.';
				}
			}
			if(flag==false && !flag1 == true)
			{
				flag=true;
			
			}
			else if(flag==true&& !flag1 == true)
			{
				flag=false;
			}
		}
		for(int i=0;i<r;i++)
		{
			for(int j=0;j<c;j++)
			{
				System.out.print(a[i][j]);
			}
			System.out.println();
		}
	}
	}
