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 FoxAndSnake {

	public static void main(String[] args) {
		Scanner scanner = new Scanner(System.in);
		int n = scanner.nextInt();
		int m = scanner.nextInt();
		
		String[][] strings = new String[n+1][m+1];
		for(int i = 1; i <=m; i++) {
			strings[1][i] = "#";
		}
			for(int i =2 ; i <= n; i++) {
				if(i % 2 == 0) {
					int k = i / 2;
					if(k % 2 != 0) {
						
						strings[i][m] = "#";
						strings[i][1] = ".";
					} else {
						strings[i][1] = "#";
						strings[i][m] = ".";
					}
				} else {
					strings[i][1] = "#";
					strings[i][m] = "#";
				}
				
				for(int j = 2; j < m; j++) {
					if(i % 2 == 0) {
						strings[i][j] = ".";
					} else {
						strings[i][j] = "#";
					}
				}
			}
		for(int i = 1; i <=n; i++) {
			for(int j = 1; j <= m; j++) {
				System.out.print(strings[i][j]);
			}
			System.out.println();
		}
	}
}
