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