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 Main {	

	private final static char EMPTY = '.';
	private final static char SNAKE = '#';
	
	public static void main(String[] args) {
		Scanner in = new Scanner(System.in);	
		int rowNumber = in.nextInt();
		int columnNumber = in.nextInt();
		char[][] field = new char[rowNumber][columnNumber];
		for (int i = 0; i < rowNumber; ++i) {
			for (int j = 0; j < columnNumber; ++j) {
				field[i][j] = EMPTY;
			}
		}
		int index = 0;
		int side = columnNumber - 1;
		while (index < rowNumber) {
			for (int j = 0; j < columnNumber; ++j) {
				field[index][j] = SNAKE;
			}
			++index;
			if (index < rowNumber) {			
				field[index][side] = SNAKE;
				if (side == 0) {
					side = columnNumber - 1;
				} else {
					side = 0;
				}
			}
			++index;
		}
		
		for (int i = 0; i < rowNumber; ++i) {
			for (int j = 0; j < columnNumber; ++j) {
				System.out.print(field[i][j]);
			}
			System.out.println();
		}
	}
}
