input: def sierpinski_triangle(n: int) -> None:
      """Generates the first n elements of the Sierpinski triangle and prints them.
      The pattern is printed in a binary format where '1' represents a filled spot
      and '0' represents an empty spot.
      
      >>> sierpinski_triangle(2)
        1  
      1 0 1
      >>> sierpinski_triangle(3)
          1        
        1 0 1      
      1 0 0 0 1    
      
      """
      for i in range(2**n): 
          print(' ', end=" ") 
      
      for i in range(1, n+1): 
          for j in range(2**(i-1), 2**i): 
              print('1', end=" ") 
          print() 
          
          if i > 1: 
              for j in range(2**(i-1)+1, 2**i-1):  
                  print('0', end=" ") 
              print()
output:     
      current_row = [1]
      for _ in range(n):
          print(' ' * (2**n - 2**_) + ' '.join(map(str, current_row)))
          next_row = [1]
          for j in range(1, len(current_row)):
              next_row.append(current_row[j-1] ^ current_row[j])
          next_row.append(1)
          current_row = next_row
  