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.*;
public class Sample{

    public static void main(String args[]){
    Scanner sc = new Scanner(System.in);
    int a = sc.nextInt();
    int b = sc.nextInt();
   // int count=1;
    for(int i=1; i<=a; i++) {
      //  int count=1;
        for(int j=1; j<=b; j++) {
            if(i%2!=0)
            System.out.print("#");
            else { 
            if((i/2)%2!=0) {
                if(j==b)
                System.out.print("#");
                else
                System.out.print(".");
            }
            else {
                if(j==1)
                System.out.print("#");
                else
                System.out.print(".");
            }
            }
          //  count++;
        }
        System.out.println();
    }
     //   System.out.println("Hello World");
    }
}
