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.*;

public class Main {
    public static void main(String[] args){
        Scanner scanner=new Scanner(System.in);
        int n=scanner.nextInt(), m=scanner.nextInt();
        char[] c1=new char[m], c2=new char[m], c3=new char[m];
        Arrays.fill(c1, '#'); Arrays.fill(c2, '.'); Arrays.fill(c3, '.');
        c2[0]='#'; c3[m-1]='#';
        String s1=new String(c1), s2=new String(c2), s3=new String(c3);
        for (int i=1;i<=n;i++) {
            if (i%2==1) System.out.println(s1);
            else System.out.println(i%4==0?s2:s3);
        }
    }
}