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 main{
    
public static void main(String[] args) {

Scanner  s =new Scanner (System.in);

int n,m;

n=s.nextInt();   
m=s.nextInt();

boolean turn = true;

for(int i=1;i<=n;i++)
{
    if(i%2==0)
    if(turn)
    {
        for (int j = 1; j <= m; j++) {
            
            if(j==m)
                System.out.print("#");
            else
                System.out.print(".");
        }
        
        turn=false;
    }
    
    else
    {
        System.out.print("#");
        for (int j = 2; j <=m; j++) {
            System.out.print(".");
        }
        
        turn=true;
    }
    
    else
        for (int j = 1; j <=m; j++)
            System.out.print("#");   
    
    System.out.println("");
}
    }
    
}