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.io.*;
public class codeforces2{
	public static void main(String[] args) throws IOException{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String[] s = br.readLine().split(" ");
		int n = Integer.parseInt(s[0]);
		int m = Integer.parseInt(s[1]);
		StringBuilder sbr = new StringBuilder();
		int count = 1;
		
		for(int i = 1; i <= n; i++){
			if(i % 2 != 0){
				for(int j = 1; j <= m; j++)
					sbr.append("#");
				
			}else{
				if(count % 2 != 0){
				for(int k = 1; k <= m; k++){
					if(k == m)
						sbr.append("#");
					else{
						sbr.append(".");
					}
				}
				}else{
					for(int k = 1; k <= m; k++){
					if(k == 1)
						sbr.append("#");
					else{
						sbr.append(".");
					}
				}
				}
				count += 1;
			}
			System.out.println(sbr);
			sbr.setLength(0);
		}
	
	}

}