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.Scanner;
import java.math.*;

public class CompProg2 {
    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);
        int n=scan.nextInt();
        int m=scan.nextInt();
        
        for(int i=0;i<n;i++){
        	if(i%2==0){
        		for(int j=0;j<m;j++){
        			System.out.print("#");
        		}System.out.println();
        	}
        	else{
        		if((i+1)%4==0){
        			System.out.print("#");
        			for(int j=1;j<m;j++){
        				System.out.print(".");
        			}System.out.println();
        			
        		}
        		else{
        			for(int j=0;j<m-1;j++){
        				System.out.print(".");
        			}System.out.println("#");
        		}
        	}
        }
    }
}