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 cf510A {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt(); //num row
        int m = sc.nextInt(); //num column
        sc.close();
        String hexes = "#".repeat(m);
        String dothex = ".".repeat(m-1) + "#";
        String hexdot = "#"+ ".".repeat(m-1);
        Boolean atEnd = true;

        for(int i=0; i<n; i++) {
            if(i%2==0) System.out.println(hexes);
            else {
                if(atEnd) {
                    System.out.println(dothex);
                    atEnd = false;
                }
                else {
                    System.out.println(hexdot);
                    atEnd = true;
                }
            }
        }
    }
}