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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class A {

	public static void main(String[] args) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String[] split = br.readLine().split(" ");
		int n = Integer.parseInt(split[0]);
		int m = Integer.parseInt(split[1]);
		int down = 1;
		StringBuilder sb = new StringBuilder();
		for (int i = 1; i <= n; i++) {
			if ((i % 2) != 0) {
				for (int j = 1; j <= m; j++) {
					sb.append("#");
				}
			} else {
				for (int j = 1; j <= m; j++) {
					if (down == 0) {
						if (j == 1)
							sb.append("#");
						else
							sb.append(".");
					} else {
						if (j < m)
							sb.append(".");
						else {
							sb.append("#");
						}
					}
				}
				down = (down==0?1:0);
			}
			sb.append("\n");
		}
		System.out.println(sb.toString().substring(0, sb.toString().length()-1));
	}
}