code: 
  
  
  
  
  
  
  """simple docstring"""
  def        A	(							__snake_case:   int     )						->		int:
  
  							"""simple docstring"""
  
  
  
  
  
  							if not isinstance(__snake_case   ,    __snake_case     ):
  														raise TypeError('recursive_lucas_number accepts only integer arguments.'     )
  							if n_th_number == 0:
  														return 2
  							if n_th_number == 1:
  														return 1
  
  							return recursive_lucas_number(n_th_number - 1     ) + recursive_lucas_number(
  							    n_th_number - 2     )
  
  
  def        A	(							__snake_case:   int     )						->		int:
  
  							"""simple docstring"""
  
  
  
  
  
  							if not isinstance(__snake_case   ,    __snake_case     ):
  														raise TypeError('dynamic_lucas_number accepts only integer arguments.'     )
  							__magic_name__							,     __magic_name__										=						2, 1
  							for _ in range(__snake_case     ):
  														__magic_name__							,     __magic_name__										=						b, a + b
  							return a
  
  
  if __name__ == "__main__":
  	from doctest import testmod
  
  	testmod()
  	snake_case   :   Tuple    		=		int(input("""Enter the number of terms in lucas series:\n""").strip())
  	print("""Using recursive function to calculate lucas series:""")
  	print(""" """.join(str(recursive_lucas_number(i)) for i in range(n)))
  	print("""\nUsing dynamic function to calculate lucas series:""")
  	print(""" """.join(str(dynamic_lucas_number(i)) for i in range(n)))
style_context: 
  
  
  
  
  
  
  """simple docstring"""
  def        A	(							__snake_case:   Dict   ,    __snake_case:   Tuple     )						->		int:
  
         """simple docstring"""
  
  
  
  
  
         sequence.append(__snake_case     )
  
         __magic_name__										=						0
         while sequence[index] != target:
                index += 1
  
         sequence.pop()
  
         if index == len(__snake_case     ):
                return None
  
         return index
  
  
  if __name__ == "__main__":
   snake_case   :   Dict    		=		input("""Enter numbers separated by comma:\n""").strip()
   snake_case   :   List[str]    		=		[int(item) for item in user_input.split(""",""")]
  
   snake_case   :   Union[str, Any]    		=		input("""Enter a single number to be found in the list:\n""")
   snake_case   :   str    		=		int(target_input)
   snake_case   :   Any    		=		sentinel_linear_search(sequence, target)
   if result is not None:
    print(f"""{target} found at positions: {result}""")
   else:
    print("""Not found""")