



"""simple docstring"""




def __lowerCAmelCase	(       SCREAMING_SNAKE_CASE_ = 100_0000					):
			lowercase__   					=			set(range(3  ,					__a  ,					2					)					)
			primes.add(2					)
			for p in range(3  ,					__a  ,					2					):
						if p not in primes:
									continue
						primes.difference_update(set(range(p * p  ,					__a  ,					__a					)					)					)

			lowercase__   					=			[float(__a					) for n in range(limit + 1					)]

			for p in primes:
						for n in range(__a  ,					limit + 1  ,					__a					):
									phi[n] *= 1 - 1 / p

			return int(sum(phi[2:]					)					)


if __name__ == "__main__":
							print(F'{solution() = }')









from ...configuration_utils import PretrainedConfig
from ...utils import logging


lowercase_						=       logging.get_logger(__name__)

lowercase_						=       {
    """transfo-xl-wt103""": """https://huggingface.co/transfo-xl-wt103/resolve/main/config.json""",
}
class 			_snake_case     (   lowercase__):
				UpperCamelCase__			:   Optional[Any]       						="""transfo-xl"""
				UpperCamelCase__			:   Dict       						=["""mems"""]
				UpperCamelCase__			:   Optional[int]       						={
				    """n_token""": """vocab_size""",
				    """hidden_size""": """d_model""",
				    """num_attention_heads""": """n_head""",
				    """num_hidden_layers""": """n_layer""",
				}




				def __init__(  self   :  Optional[Any],   __lowercase   :  Optional[Any]=26_7735,   __lowercase   :  int=[2_0000, 4_0000, 20_0000],   __lowercase   :  Union[str, Any]=1024,   __lowercase   :  Tuple=1024,   __lowercase   :  Tuple=16,   __lowercase   :  Optional[Any]=64,   __lowercase   :  str=4096,   __lowercase   :  Optional[int]=4,   __lowercase   :  Union[str, Any]=False,   __lowercase   :  Union[str, Any]=18,   __lowercase   :  List[str]=1600,   __lowercase   :  List[Any]=1000,   __lowercase   :  Union[str, Any]=True,   __lowercase   :  Tuple=True,   __lowercase   :  Optional[Any]=0,   __lowercase   :  List[str]=-1,   __lowercase   :  int=True,   __lowercase   :  Dict=0.1,   __lowercase   :  Union[str, Any]=0.0,   __lowercase   :  str=True,   __lowercase   :  Optional[Any]="normal",   __lowercase   :  str=0.01,   __lowercase   :  Tuple=0.01,   __lowercase   :  List[Any]=0.02,   __lowercase   :  Any=1e-5,   __lowercase   :  Union[str, Any]=0,   **__lowercase   :  Union[str, Any],   ):
							lowercase__   					=			vocab_size
							lowercase__   					=			[]
							self.cutoffs.extend(__lowercase  )
							if proj_share_all_but_first:
										lowercase__   					=			[False] + [True] * len(self.cutoffs  )
							else:
										lowercase__   					=			[False] + [False] * len(self.cutoffs  )
							lowercase__   					=			d_model
							lowercase__   					=			d_embed
							lowercase__   					=			d_head
							lowercase__   					=			d_inner
							lowercase__   					=			div_val
							lowercase__   					=			pre_lnorm
							lowercase__   					=			n_layer
							lowercase__   					=			n_head
							lowercase__   					=			mem_len
							lowercase__   					=			same_length
							lowercase__   					=			attn_type
							lowercase__   					=			clamp_len
							lowercase__   					=			sample_softmax
							lowercase__   					=			adaptive
							lowercase__   					=			dropout
							lowercase__   					=			dropatt
							lowercase__   					=			untie_r
							lowercase__   					=			init
							lowercase__   					=			init_range
							lowercase__   					=			proj_init_std
							lowercase__   					=			init_std
							lowercase__   					=			layer_norm_epsilon
							super().__init__(eos_token_id=__lowercase,   **__lowercase  )




				@property
				def 							A__ (  self   :  Optional[Any]  ):
							# Message copied from Transformer-XL documentation
							logger.info(F'''The model {self.model_type} is one of the few models that has no sequence length limit.'''  )
							return -1




				@max_position_embeddings.setter
				def 							A__ (  self   :  List[str],   __lowercase   :  Union[str, Any]  ):
							# Message copied from Transformer-XL documentation
							raise NotImplementedError(
							    F'''The model {self.model_type} is one of the few models that has no sequence length limit.'''  )




