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 GFG{ 

public static void main(String[] args) 
{
      Scanner sc=new Scanner(System.in);
      int x=sc.nextInt();
      int y=sc.nextInt();
      int k=1;
      for(int i=0;i<x;i++){
          for(int j=0;j<y;j++){
              if(i%2==0){
                  System.out.print("#");
              }
              else{
                 if(i==k){
                     if(j==y-1)
                         System.out.print("#");
                     else
                         System.out.print(".");
                 }
                 else{
                     if(j==0)
                         System.out.print("#");
                     else
                         System.out.print(".");
                 }
              }
          }
          System.out.println("");
          if(i==k)
             k=k+4;
      }
} 
}   