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 JavaApplication1 {

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