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

#########
........#
#########
#........
#########
........#
#########
#........
#########
//problem: https://codeforces.com/problemset/problem/510/A

import java.util.Scanner;
public class SnakeDraw{

    public static void brickDraw(int length){
        for(int i=0; i<length-1; i++){
            System.out.print(".");
        }
    }

    public static void snakeDraw(int length){
        for(int i=0; i<length; i++){
            System.out.print("#");
        }
    }

    public static void main(String[] args){
        Scanner sObj = new Scanner(System.in);
        int row = sObj.nextInt();
        int col = sObj.nextInt();
        boolean rBody = true;
        for(int i=0; i<row; i++){
            if(i%2 == 0){
                SnakeDraw.snakeDraw(col);
                System.out.println();
            }
            else{
                if(rBody){
                    SnakeDraw.brickDraw(col);
                    System.out.println("#");
                    rBody = false;
                }
                else{
                    System.out.print("#");
                    SnakeDraw.brickDraw(col);
                    System.out.println();
                    rBody = true;
                }
            }
        }
    }
}