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.io.*;
import java.util.*;

public class Solution {

    public static void main(String[] args) {
        Scanner sc=new Scanner(System.in);
   int n=sc.nextInt();
        int m=sc.nextInt();
        int f=0;
       for(int i=0;i<n-1;i=i+2)
       {
          for(int j=0;j<m;j++)
          {
              System.out.print("#");
          }
           System.out.println(" ");
           if(f==0)
           {
           for(int k=0;k<m-1;k++)
           {
               System.out.print(".");
           }
           System.out.println("#");
               f=1;
               continue;
           }
           else
                 {
                System.out.print("#");
           for(int k=0;k<m-2;k++)
           {
               System.out.print(".");
           }
               System.out.println(".");
          f=0;
           }
               
       }
            for(int j=0;j<m;j++)
          {
              System.out.print("#");
          }
        
        /* Enter your code here. Read input from STDIN. Print output to STDOUT. Your class should be named Solution. */
    }
}