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.*;
import java.util.regex.*;
public class ques1 {

	public static void main(String[] args) {
	
		
		
		Scanner sc=new Scanner(System.in);
		int n=sc.nextInt();
		int m=sc.nextInt();
		for(int i=1;i<=n;i++) {
			if(i%2!=0) {
				for(int j=1;j<=m;j++) {
					System.out.print("#");
				
				}
				System.out.println();
			}
			else if(i%2==0&&i%4!=0) {
				for(int j=1;j<=m;j++) {
					if(j!=m)
						System.out.print(".");
					else
						System.out.print("#");
				}
				System.out.println();
			}
			else if(i%4==0) {
				for(int j=1;j<=m;j++) {
					if(j==1)
						System.out.print("#");
					else
						System.out.print(".");
				}
				System.out.println();
			}
		}
		
    } 


}

