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.ArrayList;
import java.util.LinkedList;
import java.util.Scanner;
import javafx.scene.Node;



public class JavaApplication3 {

     public static void main(String[] args) {
 //         ArrayList<Integer> a = new ArrayList<Integer>();
int n;
int m;
    Scanner in = new Scanner(System.in);
    n=in.nextInt();
     m=in.nextInt();
char [][]a = new char [n][m]; 
int c=0; 
for(int i=0;i<n;i++){
    
    for(int j=0;j<m;j++){
        if(i%2==0){
            a[i][j]='#';
            
        }
        
        else{
           
            a[i][j]='.';
            if((c/2)%2!=0)  {a[i][0]='#'; }
            else  {a[i][m-1]='#';}
            

        }
                        
    }
    c++;
}
for(int i=0;i<n;i++){
         for(int k=0;k<m;k++){
             System.out.print(a[i][k]);
             
         }
         System.out.println("");
}
        
     }
}