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.BufferedReader;
import java.io.InputStreamReader;

public class Main {

	static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
	static StringBuilder output = new StringBuilder();
	 
	 
	  public static void main(String args[]) throws Exception{
	      
	    	  String x[]=br.readLine().trim().split(" ");
	    	  int n = Integer.parseInt(x[0]);
	    	  int m = Integer.parseInt(x[1]);

	    	  int oddcnt=0;
	    	  for(int i=0;i<n;i++) {
	    	  	if(i%2==0){
	    	  		for(int j=0;j<m;j++){
		    	  		System.out.print("#");
		    	  		}
	    	  	}
	    	  	else {
	    	  		++oddcnt;
	    	  		for(int j=0;j<m;j++){
	    	  				if(oddcnt%2==1&&j==m-1){
	    	  					System.out.print("#");;
	    	  				}
	    	  				else if(oddcnt%2==0&&j==0){
	    	  					System.out.print("#");
	    	  				}
	    	  				else {
	    	  					System.out.print(".");;
	    	  				}
	    	  		}
	    		}
	    	  	System.out.println();
	    	  }
	      }
}
