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 codeforce
{
	public static void main(String args[])
	{
		Scanner sj = new Scanner(System.in);

		int n = sj.nextInt();
		int m = sj.nextInt();
		char a[][] = new char[n][m];
		for(int i=0;i<n;i++)
		{
			for(int j=0;j<m;j++)
			{
				if(i%2==0)
				{
					a[i][j] = '#';
				}
				else
				{
					a[i][j] = '.';	
				}				
			}
		}

		int x = 3;
		while(x<n)	
		{
			a[x][0] = '#';
			x = x + 4;
		}
		x = 1;
		while(x<n)
		{
			a[x][m-1] = '#';
			x = x + 4;
		}

		for(int i=0;i<n;i++)
		{
			for(int j=0;j<m;j++)
			{
				System.out.print(a[i][j]);
			}
			System.out.println();
		}
	}

}