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.io.*;
import java.lang.*;
import java.util.ArrayList;

public class _temp2 {
	public static void main(String[] args)  throws NumberFormatException, IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String[] st = br.readLine().split(" ");
		int n = Integer.parseInt(st[0]);
		int m = Integer.parseInt(st[1]);
		for(int i=1;i<=n;i++){
			for(int j=1;j<=m;j++){
				boolean ans = false;
				if(i%2==1){
					ans=true;
				}else{
					if(i%4==2 && j==m)ans=true;
					if(i%4==0 && j==1)ans=true;
				}
				if(ans==true){
					System.out.print("#");
				}else{
					System.out.print(".");
				}
			}
			System.out.println();
		}
	}
}
