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.*;
import java.util.*;

public class CF510a {
    static InputStream in;
    static PrintStream out;
    public static void main(String[] args) throws IOException {

	in = System.in;
	out = System.out;
	Scanner sc = new Scanner(in);

	int n = sc.nextInt();
	int m = sc.nextInt();
	char[][] a = new char[111][111];

	for(int i = 1;  i <= n;  i++) {
	    for(int j = 1;  j <= m;  j++) a[i][j] = '.';
	}
	for(int i = 1;  i <= n;  i+=2) {
	    for(int j = 1;  j <= m;  j++) a[i][j] = '#';
	}
	for(int i = 2;  i <= n;  i+=2) {
	    if ((i / 2) % 2 == 1) a[i][m] = '#';
	    else a[i][1] = '#';
	}

	for(int i = 1;  i <= n;  i++) {
	    for(int j = 1;  j <= m;  j++) out.print(a[i][j]);
	    out.println();
	}
    }
}
