"""simple docstring"""







from .integrations import (
    is_optuna_available,
    is_ray_available,
    is_sigopt_available,
    is_wandb_available,
    run_hp_search_optuna,
    run_hp_search_ray,
    run_hp_search_sigopt,
    run_hp_search_wandb,
)
from .trainer_utils import (
    HPSearchBackend,
    default_hp_space_optuna,
    default_hp_space_ray,
    default_hp_space_sigopt,
    default_hp_space_wandb,
)
from .utils import logging


SCREAMING_SNAKE_CASE									=						logging.get_logger(__name__)



class  _lowerCamelCase			:
				_snake_case     =  42
				_snake_case     =  None







				@staticmethod
				def 							__UpperCAmelCase					( ):

					"""simple docstring"""






					raise NotImplementedError







				def 							__UpperCAmelCase					( self    :       Tuple			,					lowerCamelCase_    :       Optional[Any]			,					lowerCamelCase_    :       int			,					lowerCamelCase_    :       str			,					**lowerCamelCase_    :       int						):

					"""simple docstring"""






					raise NotImplementedError







				def 							__UpperCAmelCase					( self    :       Any			,					lowerCamelCase_    :       Any						):

					"""simple docstring"""






					raise NotImplementedError







				def 							__UpperCAmelCase					( self    :       Any						):

					"""simple docstring"""






					if not self.is_available():
						raise RuntimeError(
						    F'''You picked the {self.name} backend, but it is not installed. Run {self.pip_install()}.'''						)







				@classmethod
				def 							__UpperCAmelCase					( cls    :       Tuple						):

					"""simple docstring"""






					return F'''`pip install {cls.pip_package or cls.name}`'''



class  _lowerCamelCase			(__lowerCamelCase     ):
				_snake_case     =  "optuna"







				@staticmethod
				def 							__UpperCAmelCase					( ):

					"""simple docstring"""






					return is_optuna_available()







				def 							__UpperCAmelCase					( self    :       List[str]			,					lowerCamelCase_    :       int			,					lowerCamelCase_    :       int			,					lowerCamelCase_    :       str			,					**lowerCamelCase_    :       Union[str, Any]						):

					"""simple docstring"""






					return run_hp_search_optuna(lowerCamelCase_			,					lowerCamelCase_			,					lowerCamelCase_			,					**lowerCamelCase_						)







				def 							__UpperCAmelCase					( self    :       List[Any]			,					lowerCamelCase_    :       List[Any]						):

					"""simple docstring"""






					return default_hp_space_optuna(lowerCamelCase_						)



class  _lowerCamelCase			(__lowerCamelCase     ):
				_snake_case     =  "ray"
				_snake_case     =  "'ray[tune]'"







				@staticmethod
				def 							__UpperCAmelCase					( ):

					"""simple docstring"""






					return is_ray_available()







				def 							__UpperCAmelCase					( self    :       Dict			,					lowerCamelCase_    :       Optional[int]			,					lowerCamelCase_    :       int			,					lowerCamelCase_    :       str			,					**lowerCamelCase_    :       Any						):

					"""simple docstring"""






					return run_hp_search_ray(lowerCamelCase_			,					lowerCamelCase_			,					lowerCamelCase_			,					**lowerCamelCase_						)







				def 							__UpperCAmelCase					( self    :       Tuple			,					lowerCamelCase_    :       str						):

					"""simple docstring"""






					return default_hp_space_ray(lowerCamelCase_						)



class  _lowerCamelCase			(__lowerCamelCase     ):
				_snake_case     =  "sigopt"







				@staticmethod
				def 							__UpperCAmelCase					( ):

					"""simple docstring"""






					return is_sigopt_available()







				def 							__UpperCAmelCase					( self    :       Dict			,					lowerCamelCase_    :       Union[str, Any]			,					lowerCamelCase_    :       int			,					lowerCamelCase_    :       str			,					**lowerCamelCase_    :       int						):

					"""simple docstring"""






					return run_hp_search_sigopt(lowerCamelCase_			,					lowerCamelCase_			,					lowerCamelCase_			,					**lowerCamelCase_						)







				def 							__UpperCAmelCase					( self    :       str			,					lowerCamelCase_    :       Dict						):

					"""simple docstring"""






					return default_hp_space_sigopt(lowerCamelCase_						)



class  _lowerCamelCase			(__lowerCamelCase     ):
				_snake_case     =  "wandb"







				@staticmethod
				def 							__UpperCAmelCase					( ):

					"""simple docstring"""






					return is_wandb_available()







				def 							__UpperCAmelCase					( self    :       Any			,					lowerCamelCase_    :       str			,					lowerCamelCase_    :       int			,					lowerCamelCase_    :       str			,					**lowerCamelCase_    :       Any						):

					"""simple docstring"""






					return run_hp_search_wandb(lowerCamelCase_			,					lowerCamelCase_			,					lowerCamelCase_			,					**lowerCamelCase_						)







				def 							__UpperCAmelCase					( self    :       Dict			,					lowerCamelCase_    :       Union[str, Any]						):

					"""simple docstring"""






					return default_hp_space_wandb(lowerCamelCase_						)



SCREAMING_SNAKE_CASE									=						{
    HPSearchBackend(backend.name): backend for backend in [OptunaBackend, RayTuneBackend, SigOptBackend, WandbBackend]
}


def      __lowerCAmelCase(		):






	"""simple docstring"""





	_lowercase :    List[str]							=							[backend for backend in ALL_HYPERPARAMETER_SEARCH_BACKENDS.values() if backend.is_available()]
	if len(__UpperCAmelCase			) > 0:
		_lowercase :    Optional[int]							=							available_backends[0].name
		if len(__UpperCAmelCase			) > 1:
			logger.info(
			    F'''{len(__UpperCAmelCase			)} hyperparameter search backends available. Using {name} as the default.'''			)
		return name
	raise RuntimeError(
	    'No hyperparameter search backend available.\n'
	    + '\n'.join(
	        F''' - To install {backend.name} run {backend.pip_install()}'''
	        for backend in ALL_HYPERPARAMETER_SEARCH_BACKENDS.values()			)			)




"""simple docstring"""







from decimal import Decimal, getcontext
from math import ceil, factorial


def      __lowerCAmelCase(		__UpperCAmelCase			):






	"""simple docstring"""





	if not isinstance(__UpperCAmelCase     ,__UpperCAmelCase			):
		raise TypeError('Undefined for non-integers'			)
	elif precision < 1:
		raise ValueError('Undefined for non-natural numbers'			)

	_lowercase :    Optional[Any]							=							precision
	_lowercase :    Dict							=							ceil(precision / 14			)
	_lowercase :    int							=							426_880 * Decimal(10_005			).sqrt()
	_lowercase :    Optional[Any]							=							1
	_lowercase :    Union[str, Any]							=							13_591_409
	_lowercase :    Optional[int]							=							Decimal(__UpperCAmelCase			)
	for k in range(1     ,__UpperCAmelCase			):
		_lowercase :    List[str]							=							factorial(6 * k			) // (factorial(3 * k			) * factorial(__UpperCAmelCase			) ** 3)
		linear_term += 545_140_134
		exponential_term *= -262_537_412_640_768_000
		partial_sum += Decimal(multinomial_term * linear_term			) / exponential_term
	return str(constant_term / partial_sum			)[:-1]


if __name__ == "__main__":
						SCREAMING_SNAKE_CASE									=						50
						print(f"""The first {n} digits of pi is: {pi(n)}""")



