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.awt.List;
import java.math.BigInteger;
import java.util.Arrays;
import java.util.Scanner;
import java.util.TreeMap;
public class Main  {
	

	
	public static void  main(String[] args){
	Scanner s=new Scanner(System.in);
	
	int n=s.nextInt();
	String[] d=new String[n];
	int x=s.nextInt();
	String a="",b="",c="";
	for(int i=0;i<x;i++){
		a+="#";
	}
	for(int i=0;i<x-1;i++){
		b+=".";
	}
	b+="#";
	c+="#";
	for(int i=0;i<x-1;i++){
		c+=".";
	}
	
	for(int i=0;i<d.length;i=i+2){
		d[i]=a;
	}
	for(int i=1;i<d.length;i=i+4){
		d[i]=b;
	}
	for(int i=3;i<d.length;i=i+4){
		d[i]=c;
	}
	
	for(int i=0;i<d.length;i++){
		System.out.println(d[i]);
	}
	}
}
		