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.*;
public class Ja {

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

		    else
				{System.out.print(".");}
		    

		 	
		
			
                }System.out.println();
            }
            
            
        }
}
