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.Scanner;

public class Problem510A {

	public static void main(String[] args) {
		
		drawSnake();

	}
	
	public static void drawSnake()
	{
		int n,m;
		Scanner sc = new Scanner(System.in);
		n = sc.nextInt(); m = sc.nextInt();
		
		char[][] grid = new char[n][m];
		
		for(int i=0 ; i<n ; i++)
		{
			if(isEven(i))
			{
				for(int j=0 ; j<m ; j++)
					grid[i][j] = '#';
			}
			else if( (i+1) % 4 == 0)
			{
				printDirection(grid, i, m, 'l');
			}
			else
			{
				printDirection(grid, i, m, 'r');
			}
		}
		
		for(int i=0 ; i<n ; ++i){
			for(int j=0 ; j<m ; ++j)
				System.out.print(grid[i][j]);
			if(i != n-1)
			System.out.print("\n");
		}
		sc.close();
	}
	
	public static boolean isEven(int x)
	{
		return (x % 2 == 0) ? true:false;
	}
	
	public static void printDirection (char[][] grid, int rowNum, int m, char direction)
	{
		if(direction == 'l')
		{
			grid[rowNum][0] = '#';
			for(int j=1 ; j<m ; ++j)
				grid[rowNum][j] = '.'; 
		}
		else
		{
			grid[rowNum][m-1] = '#';
			for(int j=0 ; j<m-1 ; ++j)
				grid[rowNum][j] = '.';
			
		}
	}

}
