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 Code1Feb02 {
    
    private static Scanner in = new Scanner(System.in);
    
    public static void main(String[] args) {
        int n = in.nextInt();
        int m = in.nextInt();
        String snake = snakeString(m);
        String dot = dotString(m);
        
        for (int i = 0; i < n; i++) {
            if (i%2==0) {
                System.out.println(snake);
            } else  if (i % 4 == 1) {
                System.out.println(dot + "#");
            } else {
                System.out.println("#" + dot);
            }
        }
        
    }
    
    static String snakeString(int m) {
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < m; i++) {
            sb.append("#");
        }
        return sb.toString();
    }
    
    static String dotString(int m) {
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < m-1; i++) {
            sb.append(".");
        }
        return sb.toString();
    }
    
}
