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 cff {

    public static void main(String[] args) {

    	Scanner sc = new Scanner (System.in);
    	int x = sc.nextInt();
    	int y = sc.nextInt();
    	int par = 1 ;
        for(int i = 0 ; i<x;i++){
        	if(i%2==0){
        		for(int j =0; j<y;j++){
        			System.out.print('#');
        		}
        	}
        	else{
        		if(par==1){
        			for(int j = 0;j<y;j++){
        				if(j==y-1)
        					System.out.print('#');
        				else
        					System.out.print('.');
        			}
        			par=0;
        		}
        		else{
        			for(int j =0 ; j<y;j++){
        				if(j==0)
        					System.out.print('#');
        				else
        					System.out.print('.');
        			}
        			par=1;
        		}
        	}
        	System.out.println("");
        }


    }
}