
def 				__SCREAMING_SNAKE_CASE  (						SCREAMING_SNAKE_CASE			: int     )	->		int:
				if not isinstance(SCREAMING_SNAKE_CASE       ,				SCREAMING_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 				__SCREAMING_SNAKE_CASE  (						SCREAMING_SNAKE_CASE			: int     )	->		int:
				if not isinstance(SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE     ):
								raise TypeError('dynamic_lucas_number accepts only integer arguments.'     )
				__lowercase						,   __lowercase								=   2, 1
				for _ in range(SCREAMING_SNAKE_CASE     ):
								__lowercase						,   __lowercase								=   b, a + b
				return a


if __name__ == "__main__":
							from doctest import testmod

							testmod()
							SCREAMING_SNAKE_CASE__				=							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)))







from ..utils import DummyObject, requires_backends
class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Tuple            =				["tokenizers"]





							def __init__(					self    :  str	,					*_UpperCAmelCase    :  List[str]	,					**_UpperCAmelCase    :  List[str]							)		->						int:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Dict            =				["tokenizers"]





							def __init__(					self    :  str	,					*_UpperCAmelCase    :  Union[str, Any]	,					**_UpperCAmelCase    :  Tuple							)		->						Optional[Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Union[str, Any]            =				["tokenizers"]





							def __init__(					self    :  Union[str, Any]	,					*_UpperCAmelCase    :  Union[str, Any]	,					**_UpperCAmelCase    :  int							)		->						Dict:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[int]            =				["tokenizers"]





							def __init__(					self    :  int	,					*_UpperCAmelCase    :  Dict	,					**_UpperCAmelCase    :  Optional[Any]							)		->						List[str]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		str            =				["tokenizers"]





							def __init__(					self    :  Optional[Any]	,					*_UpperCAmelCase    :  Optional[int]	,					**_UpperCAmelCase    :  Optional[int]							)		->						Optional[int]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[int]            =				["tokenizers"]





							def __init__(					self    :  Any	,					*_UpperCAmelCase    :  Union[str, Any]	,					**_UpperCAmelCase    :  List[str]							)		->						Tuple:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[Any]            =				["tokenizers"]





							def __init__(					self    :  str	,					*_UpperCAmelCase    :  Optional[int]	,					**_UpperCAmelCase    :  Union[str, Any]							)		->						Optional[Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		List[str]            =				["tokenizers"]





							def __init__(					self    :  Optional[int]	,					*_UpperCAmelCase    :  Union[str, Any]	,					**_UpperCAmelCase    :  List[str]							)		->						Optional[Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Any            =				["tokenizers"]





							def __init__(					self    :  Optional[Any]	,					*_UpperCAmelCase    :  Tuple	,					**_UpperCAmelCase    :  Any							)		->						Optional[Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Dict            =				["tokenizers"]





							def __init__(					self    :  List[str]	,					*_UpperCAmelCase    :  Tuple	,					**_UpperCAmelCase    :  List[str]							)		->						List[Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		List[Any]            =				["tokenizers"]





							def __init__(					self    :  Tuple	,					*_UpperCAmelCase    :  Union[str, Any]	,					**_UpperCAmelCase    :  Any							)		->						Any:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Tuple            =				["tokenizers"]





							def __init__(					self    :  int	,					*_UpperCAmelCase    :  int	,					**_UpperCAmelCase    :  Optional[Any]							)		->						List[str]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[int]            =				["tokenizers"]





							def __init__(					self    :  Tuple	,					*_UpperCAmelCase    :  List[Any]	,					**_UpperCAmelCase    :  int							)		->						Tuple:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Tuple            =				["tokenizers"]





							def __init__(					self    :  List[str]	,					*_UpperCAmelCase    :  Any	,					**_UpperCAmelCase    :  str							)		->						int:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		str            =				["tokenizers"]





							def __init__(					self    :  Any	,					*_UpperCAmelCase    :  str	,					**_UpperCAmelCase    :  List[Any]							)		->						List[str]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Dict            =				["tokenizers"]





							def __init__(					self    :  int	,					*_UpperCAmelCase    :  Tuple	,					**_UpperCAmelCase    :  Optional[Any]							)		->						Dict:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Tuple            =				["tokenizers"]





							def __init__(					self    :  Tuple	,					*_UpperCAmelCase    :  str	,					**_UpperCAmelCase    :  List[Any]							)		->						Union[str, Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[Any]            =				["tokenizers"]





							def __init__(					self    :  Dict	,					*_UpperCAmelCase    :  Optional[Any]	,					**_UpperCAmelCase    :  List[Any]							)		->						Optional[Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Dict            =				["tokenizers"]





							def __init__(					self    :  Optional[Any]	,					*_UpperCAmelCase    :  Optional[int]	,					**_UpperCAmelCase    :  List[str]							)		->						Optional[int]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Tuple            =				["tokenizers"]





							def __init__(					self    :  Union[str, Any]	,					*_UpperCAmelCase    :  Optional[int]	,					**_UpperCAmelCase    :  Any							)		->						Tuple:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		List[str]            =				["tokenizers"]





							def __init__(					self    :  Union[str, Any]	,					*_UpperCAmelCase    :  List[Any]	,					**_UpperCAmelCase    :  Any							)		->						Tuple:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		int            =				["tokenizers"]





							def __init__(					self    :  Optional[Any]	,					*_UpperCAmelCase    :  Tuple	,					**_UpperCAmelCase    :  Tuple							)		->						List[str]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		int            =				["tokenizers"]





							def __init__(					self    :  Tuple	,					*_UpperCAmelCase    :  Tuple	,					**_UpperCAmelCase    :  Tuple							)		->						Tuple:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		List[str]            =				["tokenizers"]





							def __init__(					self    :  Tuple	,					*_UpperCAmelCase    :  List[Any]	,					**_UpperCAmelCase    :  Tuple							)		->						List[Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		List[str]            =				["tokenizers"]





							def __init__(					self    :  int	,					*_UpperCAmelCase    :  Optional[Any]	,					**_UpperCAmelCase    :  List[Any]							)		->						List[Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[int]            =				["tokenizers"]





							def __init__(					self    :  Any	,					*_UpperCAmelCase    :  Optional[Any]	,					**_UpperCAmelCase    :  str							)		->						Tuple:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		str            =				["tokenizers"]





							def __init__(					self    :  Optional[int]	,					*_UpperCAmelCase    :  Any	,					**_UpperCAmelCase    :  Union[str, Any]							)		->						int:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Dict            =				["tokenizers"]





							def __init__(					self    :  Union[str, Any]	,					*_UpperCAmelCase    :  Dict	,					**_UpperCAmelCase    :  Any							)		->						Any:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Union[str, Any]            =				["tokenizers"]





							def __init__(					self    :  Any	,					*_UpperCAmelCase    :  Tuple	,					**_UpperCAmelCase    :  Optional[int]							)		->						int:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Union[str, Any]            =				["tokenizers"]





							def __init__(					self    :  Tuple	,					*_UpperCAmelCase    :  Optional[int]	,					**_UpperCAmelCase    :  Tuple							)		->						List[str]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[int]            =				["tokenizers"]





							def __init__(					self    :  Dict	,					*_UpperCAmelCase    :  Optional[Any]	,					**_UpperCAmelCase    :  Optional[int]							)		->						Dict:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Tuple            =				["tokenizers"]





							def __init__(					self    :  Optional[int]	,					*_UpperCAmelCase    :  Dict	,					**_UpperCAmelCase    :  str							)		->						Optional[int]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Tuple            =				["tokenizers"]





							def __init__(					self    :  Optional[int]	,					*_UpperCAmelCase    :  Optional[Any]	,					**_UpperCAmelCase    :  List[Any]							)		->						Optional[Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		int            =				["tokenizers"]





							def __init__(					self    :  Optional[Any]	,					*_UpperCAmelCase    :  Tuple	,					**_UpperCAmelCase    :  Any							)		->						str:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Tuple            =				["tokenizers"]





							def __init__(					self    :  Dict	,					*_UpperCAmelCase    :  List[Any]	,					**_UpperCAmelCase    :  Tuple							)		->						Optional[Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Any            =				["tokenizers"]





							def __init__(					self    :  int	,					*_UpperCAmelCase    :  str	,					**_UpperCAmelCase    :  Any							)		->						Optional[int]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		List[Any]            =				["tokenizers"]





							def __init__(					self    :  Any	,					*_UpperCAmelCase    :  Any	,					**_UpperCAmelCase    :  Tuple							)		->						List[str]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Any            =				["tokenizers"]





							def __init__(					self    :  Union[str, Any]	,					*_UpperCAmelCase    :  Optional[Any]	,					**_UpperCAmelCase    :  Dict							)		->						str:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Union[str, Any]            =				["tokenizers"]





							def __init__(					self    :  List[str]	,					*_UpperCAmelCase    :  List[str]	,					**_UpperCAmelCase    :  List[str]							)		->						Union[str, Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[int]            =				["tokenizers"]





							def __init__(					self    :  Dict	,					*_UpperCAmelCase    :  List[Any]	,					**_UpperCAmelCase    :  List[Any]							)		->						Union[str, Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[Any]            =				["tokenizers"]





							def __init__(					self    :  Optional[int]	,					*_UpperCAmelCase    :  Optional[int]	,					**_UpperCAmelCase    :  str							)		->						Tuple:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Any            =				["tokenizers"]





							def __init__(					self    :  Optional[int]	,					*_UpperCAmelCase    :  str	,					**_UpperCAmelCase    :  Optional[int]							)		->						Optional[int]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		List[str]            =				["tokenizers"]





							def __init__(					self    :  Tuple	,					*_UpperCAmelCase    :  Tuple	,					**_UpperCAmelCase    :  Optional[Any]							)		->						Tuple:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[Any]            =				["tokenizers"]





							def __init__(					self    :  int	,					*_UpperCAmelCase    :  Tuple	,					**_UpperCAmelCase    :  Dict							)		->						Union[str, Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Union[str, Any]            =				["tokenizers"]





							def __init__(					self    :  List[str]	,					*_UpperCAmelCase    :  Optional[Any]	,					**_UpperCAmelCase    :  str							)		->						Union[str, Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[Any]            =				["tokenizers"]





							def __init__(					self    :  Dict	,					*_UpperCAmelCase    :  Tuple	,					**_UpperCAmelCase    :  List[str]							)		->						Any:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		int            =				["tokenizers"]





							def __init__(					self    :  Optional[Any]	,					*_UpperCAmelCase    :  int	,					**_UpperCAmelCase    :  Optional[int]							)		->						Dict:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Tuple            =				["tokenizers"]





							def __init__(					self    :  Optional[int]	,					*_UpperCAmelCase    :  List[str]	,					**_UpperCAmelCase    :  List[Any]							)		->						List[str]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Any            =				["tokenizers"]





							def __init__(					self    :  Optional[int]	,					*_UpperCAmelCase    :  Any	,					**_UpperCAmelCase    :  Tuple							)		->						Tuple:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[int]            =				["tokenizers"]





							def __init__(					self    :  Any	,					*_UpperCAmelCase    :  Optional[int]	,					**_UpperCAmelCase    :  Any							)		->						int:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Tuple            =				["tokenizers"]





							def __init__(					self    :  Tuple	,					*_UpperCAmelCase    :  Any	,					**_UpperCAmelCase    :  Any							)		->						List[str]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		int            =				["tokenizers"]





							def __init__(					self    :  int	,					*_UpperCAmelCase    :  Any	,					**_UpperCAmelCase    :  Any							)		->						str:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		List[Any]            =				["tokenizers"]





							def __init__(					self    :  int	,					*_UpperCAmelCase    :  List[Any]	,					**_UpperCAmelCase    :  Any							)		->						Any:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[int]            =				["tokenizers"]





							def __init__(					self    :  List[Any]	,					*_UpperCAmelCase    :  Any	,					**_UpperCAmelCase    :  Dict							)		->						Optional[Any]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Optional[Any]            =				["tokenizers"]





							def __init__(					self    :  Optional[int]	,					*_UpperCAmelCase    :  List[Any]	,					**_UpperCAmelCase    :  Optional[int]							)		->						List[str]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Any            =				["tokenizers"]





							def __init__(					self    :  Tuple	,					*_UpperCAmelCase    :  List[str]	,					**_UpperCAmelCase    :  Optional[int]							)		->						List[str]:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Any            =				["tokenizers"]





							def __init__(					self    :  List[str]	,					*_UpperCAmelCase    :  Optional[Any]	,					**_UpperCAmelCase    :  str							)		->						int:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)






class       A__  (		metaclass=lowerCAmelCase__							):
							lowerCAmelCase__						:		Dict            =				["tokenizers"]





							def __init__(					self    :  Optional[Any]	,					*_UpperCAmelCase    :  Tuple	,					**_UpperCAmelCase    :  str							)		->						Any:



											"""simple docstring"""


											requires_backends(self	,					['tokenizers']							)





