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

#########
........#
#########
#........
#########
........#
#########
#........
#########
//Template for solving CodeForces problems
//Made by: w3slley
import java.util.*;
public class CP510A{
    public static void main(String[] args){
	Scanner stdin = new Scanner(System.in);
	int n = stdin.nextInt();
	int m = stdin.nextInt();
	char[][] snake = new char[n][m];
	boolean right = false;
	for(int i=0;i<n;i++){
	    if(i%2!=0) right = !right;
	    for(int j=0;j<m;j++){
		if(i%2!=0){
		    if(right){
			if(j==m-1) snake[i][j] = '#';
			else snake[i][j] = '.';
		    }
		    else{
			if(j==0) snake[i][j] = '#';
			else snake[i][j] = '.';
		    }
		}
		else
		    snake[i][j] = '#';
	    }
	    
	}

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