





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


UpperCAmelCase						:   int			  =     logging.get_logger(__name__)





class 						_A:


				"""simple docstring"""


				UpperCamelCase    :  str
				UpperCamelCase    :  str					    =	None



				@staticmethod
				def 					UpperCAmelCase_		(			):
									raise NotImplementedError



				def 					UpperCAmelCase_		(			self     ,					_A     ,					_A     ,					_A     ,					**_A     ):
									raise NotImplementedError



				def 					UpperCAmelCase_		(			self     ,					_A     ):
									raise NotImplementedError



				def 					UpperCAmelCase_		(			self     ):
									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     ):
									return F"""`pip install {cls.pip_package or cls.name}`"""





class 						_A(					snake_case__   ):


				"""simple docstring"""


				UpperCamelCase    :  Optional[Any]					    =	'''optuna'''



				@staticmethod
				def 					UpperCAmelCase_		(			):
									return is_optuna_available()



				def 					UpperCAmelCase_		(			self     ,					_A     ,					_A     ,					_A     ,					**_A     ):
									return run_hp_search_optuna(_A     ,					_A     ,					_A     ,					**_A     )





				def 					UpperCAmelCase_		(			self     ,					_A     ):
									return default_hp_space_optuna(_A     )





class 						_A(					snake_case__   ):


				"""simple docstring"""


				UpperCamelCase    :  Optional[int]					    =	'''ray'''
				UpperCamelCase    :  Optional[int]					    =	'''\'ray[tune]\''''



				@staticmethod
				def 					UpperCAmelCase_		(			):
									return is_ray_available()



				def 					UpperCAmelCase_		(			self     ,					_A     ,					_A     ,					_A     ,					**_A     ):
									return run_hp_search_ray(_A     ,					_A     ,					_A     ,					**_A     )





				def 					UpperCAmelCase_		(			self     ,					_A     ):
									return default_hp_space_ray(_A     )





class 						_A(					snake_case__   ):


				"""simple docstring"""


				UpperCamelCase    :  int					    =	'''sigopt'''



				@staticmethod
				def 					UpperCAmelCase_		(			):
									return is_sigopt_available()



				def 					UpperCAmelCase_		(			self     ,					_A     ,					_A     ,					_A     ,					**_A     ):
									return run_hp_search_sigopt(_A     ,					_A     ,					_A     ,					**_A     )





				def 					UpperCAmelCase_		(			self     ,					_A     ):
									return default_hp_space_sigopt(_A     )





class 						_A(					snake_case__   ):


				"""simple docstring"""


				UpperCamelCase    :  Any					    =	'''wandb'''



				@staticmethod
				def 					UpperCAmelCase_		(			):
									return is_wandb_available()



				def 					UpperCAmelCase_		(			self     ,					_A     ,					_A     ,					_A     ,					**_A     ):
									return run_hp_search_wandb(_A     ,					_A     ,					_A     ,					**_A     )





				def 					UpperCAmelCase_		(			self     ,					_A     ):
									return default_hp_space_wandb(_A     )




UpperCAmelCase						:   Union[str, Any]			  =     {
    HPSearchBackend(backend.name): backend for backend in [OptunaBackend, RayTuneBackend, SigOptBackend, WandbBackend]
}







def  _SCREAMING_SNAKE_CASE				(   )      ->      str:
					__A	:						List[str]       =				[backend for backend in ALL_HYPERPARAMETER_SEARCH_BACKENDS.values() if backend.is_available()]
					if len(a  ) > 0:
										__A	:						Optional[Any]       =				available_backends[0].name
										if len(a  ) > 1:
															logger.info(
															    F"""{len(a  )} 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()  )  )











import math







def  _SCREAMING_SNAKE_CASE				(   a  )      ->      list[int]:
					__A	:						List[str]       =				[]
					__A	:						Any       =				2
					__A	:						Union[str, Any]       =				int(math.sqrt(a  )  )  # Size of every segment
					__A	:						Any       =				[True] * (end + 1)
					__A	:						List[Any]       =				[]

					while start <= end:
										if temp[start] is True:
															in_prime.append(a  )
															for i in range(start * start					,						end + 1					,						a  ):
																				__A	:						Optional[int]       =				False
										start += 1
					prime += in_prime

					__A	:						Any       =				end + 1
					__A	:						Any       =				min(2 * end					,						a  )

					while low <= n:
										__A	:						List[Any]       =				[True] * (high - low + 1)
										for each in in_prime:
															__A	:						List[str]       =				math.floor(low / each  ) * each
															if t < low:
																				t += each

															for j in range(a					,						high + 1					,						a  ):
																				__A	:						Optional[int]       =				False

										for j in range(len(a  )  ):
															if temp[j] is True:
																				prime.append(j + low  )

										__A	:						Optional[int]       =				high + 1
										__A	:						Tuple       =				min(high + end					,						a  )

					return prime




print(sieve(10**6))




