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.lang.reflect.Field;
import java.util.ArrayList;
import java.util.*;
import java.util.function.LongToDoubleFunction;

public class Main {
    public static int gcd(int a, int b){
        if(a < b ){
            a = a + b;
            b = a - b;
            a = a - b;
        }
        while(b != 0 ) {
            int tmp = a % b;
            a = b;
            b = tmp;
        }
        return a;

    }
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        while(sc.hasNext()) {
            int a, b;
            a = sc.nextInt();
            b = sc.nextInt();
            for (int i = 1; i <= a; i++) {
                if(i % 2 == 1) {
                    for (int j = 1; j <= b; j++) {
                        System.out.print('#');
                    }
                    System.out.println();
                } else if(i % 4 == 0) {
                    System.out.print('#');
                    for (int j = 2; j <= b; j++) {
                        System.out.print('.');
                    }
                    System.out.println();
                } else {
                    for (int j = 1; j < b; j++) {
                        System.out.print('.');
                    }
                    System.out.print('#');
                    System.out.println();
                }
            }
        }
    }

}