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.Arrays;
import java.util.Scanner;

public class Paper {
 
	public static void main(String[] args) {
 
	Scanner sc = new Scanner(System.in);
	int a = sc.nextInt();
	int b = sc.nextInt();
	
	String str1 = "#";
	String str2 = ".";
	String str3 = "#";
	
	for(int c = 1; c<b-1 ; c++ ) {
		str1 = str1 + "#";
		str2 = str2 + ".";
		str3 = str3 + ".";
	}
	str1 = str1 + "#";
	str2 = str2 + "#";
	str3 = str3 + ".";
	
		for(int c =0 ; c<a-3; c= c+4) {
			System.out.println(str1);
			System.out.println(str2);
			System.out.println(str1);
			System.out.println(str3);
		}
		
		if(a%4==1) System.out.println(str1);
		else if(a%4==2) {
			System.out.println(str1);
			System.out.println(str2);
		}
		else if(a%4==3) {
			System.out.println(str1);
			System.out.println(str2);
			System.out.println(str1);
		}
	
	}
	}