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





