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;
public class Main{
    public static void main(String[] args) {
        Scanner in=new Scanner(System.in);
        int n=in.nextInt(),i,k;
        int m=in.nextInt(),count=-1;
        for (int j = 1; j <=n; j++) {
            if(j%2==0){
            count++;                
            }

            for ( k = 1; k <=m; k++) {
                if(j%2!=0){
                    System.out.print("#");
                }
                else{
                    if(k<m && count%2==0){
                      System.out.print(".");  
                    }
                    else if(k==1 &&count%2!=0){
                        System.out.print("#");
                    }
                    else if(k<=m && count%2!=0){
                        System.out.print(".");
                    }
                    else{
                        System.out.print("#");
                    }
                }
                
            }
            System.out.println("");
        }
        }
}