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

#########
........#
#########
#........
#########
........#
#########
#........
#########
// CoDE deVELOPed uNDEr AcE proDUcTiONS (enJOY!!!!)
import java.util.*;

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


// CoDE deVELOPed uNDEr AcE proDUcTiONS (enJOY!!!!)