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.*;
import java.lang.*;
import java.io.*;

public class Ideone
{
    public static void main (String[] args) throws java.lang.Exception
    {
        int n=0,m=0;
        Scanner in = new Scanner(System.in);
        n = in.nextInt();
        m = in.nextInt();
        char [][] a = new char[50][50];
        for (int i=0;i<n;i++)
        for (int j=0;j<m;j++)
        a[i][j] = '.';
        for (int i=0;i<n;i+=2)
        for (int j=0;j<m;j++)
        a[i][j] = '#';
        for (int i=1;i<n;i+=4)
        a[i][m-1] = '#';
        for (int i=3;i<n;i+=4)
        a[i][0] = '#';
        for (int i=0;i<n;i++)
        { 
            for (int j=0;j<m;j++) 
                System.out.print(a[i][j]); 
            System.out.println();
        }
    }
}