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.Arrays;
import java.util.Scanner;
import java.util.stream.IntStream;

public class A510 {

    public static void main(String args[]) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int m = sc.nextInt();

        char arr[][] = new char[n][m];

        Arrays.stream(arr).forEach(c -> Arrays.fill(c, '#'));

        IntStream.range(0, n).filter(i -> (i % 2 != 0) && ((i + 1) % 4 != 0))
                .mapToObj(i -> arr[i])
                .forEach(obj -> Arrays.fill(obj, 0, m - 1, '.'));

        IntStream.range(0, n).filter(i -> (i % 2 != 0) && ((i + 3) % 4 != 0))
                .mapToObj(i -> arr[i])
                .forEach(obj -> Arrays.fill(obj, 1, m, '.'));

        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                System.out.print(arr[i][j]);
            }
            System.out.println();
        }
    }

}