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 A {

    public static String getS(char c, int m){
        StringBuffer s = new StringBuffer();
        for(int i = 0; i < m; ++i){
            s.append(c);
        }
        return s.toString();
    }

    public static void main(String[] args){
        Scanner in = new Scanner(System.in);

        int n = in.nextInt();
        int m = in.nextInt();

        int[] numbers = new int[n];
        for(int i = 0; i < n/2; ++i){
            System.out.println(getS('#', m));

            if(i % 2 == 0){
                System.out.println(getS('.', m-1) + "#");
            } else
            {
                System.out.println("#" + getS('.', m-1));
            }
        }
        if (n % 2 == 1){
            System.out.println(getS('#', m));
        }
    }

}
