"""simple docstring"""







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


_a     :     Any= logging.get_logger(__name__)

_a     :     Any= {
    '''microsoft/biogpt''': '''https://huggingface.co/microsoft/biogpt/resolve/main/config.json''',
    # See all BioGPT models at https://huggingface.co/models?filter=biogpt
}

class 		UpperCamelCase			(    lowerCamelCase_						):
				UpperCAmelCase				:      str    =		'''biogpt'''



				def __init__(self				:      List[str]	,  _A				:      Tuple=4_23_84	,  _A				:      Tuple=10_24	,  _A				:      List[str]=24	,  _A				:      Tuple=16	,  _A				:      Any=40_96	,  _A				:      str="gelu"	,  _A				:      List[str]=0.1	,  _A				:      Optional[Any]=0.1	,  _A				:      List[Any]=10_24	,  _A				:      Dict=0.02	,  _A				:      Union[str, Any]=1E-12	,  _A				:      int=True	,  _A				:      Dict=True	,  _A				:      Optional[Any]=0.0	,  _A				:      int=0.0	,  _A				:      Optional[int]=1	,  _A				:      Tuple=0	,  _A				:      List[Any]=2	,  **_A				:      List[str]	,  )    ->	Tuple:
					__snake_case			:							Optional[Any]      		= vocab_size
					__snake_case			:							str      		= max_position_embeddings
					__snake_case			:							Union[str, Any]      		= hidden_size
					__snake_case			:							List[str]      		= num_hidden_layers
					__snake_case			:							str      		= num_attention_heads
					__snake_case			:							str      		= intermediate_size
					__snake_case			:							List[Any]      		= hidden_act
					__snake_case			:							Optional[Any]      		= hidden_dropout_prob
					__snake_case			:							Union[str, Any]      		= attention_probs_dropout_prob
					__snake_case			:							Optional[int]      		= initializer_range
					__snake_case			:							List[Any]      		= layer_norm_eps
					__snake_case			:							str      		= scale_embedding
					__snake_case			:							Dict      		= use_cache
					__snake_case			:							Optional[int]      		= layerdrop
					__snake_case			:							int      		= activation_dropout
					super().__init__(pad_token_id=__snake_case	,  bos_token_id=__snake_case	,  eos_token_id=__snake_case	,  **__snake_case)









import math






def 							__lowercase   ( __lowerCAmelCase							:				int   ):
							a__             =     [True] * n
							a__             =     False
							a__             =     False
							a__             =     True

							for i in range(3					,    int(n**0.5 + 1   )					,    2   ):
														a__             =     i * 2
														while index < n:
																					a__             =     False
																					a__             =     index + i

							a__             =     [2]

							for i in range(3					,    __lowerCAmelCase					,    2   ):
														if is_prime[i]:
																					primes.append(__lowerCAmelCase   )

							return primes






def 							__lowercase   ( __lowerCAmelCase							:				int = 9_9_9_9_6_6_6_6_3_3_3_3   ):
							a__             =     math.floor(math.sqrt(__lowerCAmelCase   )   ) + 1_0_0
							a__             =     prime_sieve(__lowerCAmelCase   )

							a__             =     0
							a__             =     0
							a__             =     primes[prime_index]

							while (last_prime**2) <= limit:
														a__             =     primes[prime_index + 1]

														a__             =     last_prime**2
														a__             =     next_prime**2

														# Get numbers divisible by lps(current)
														a__             =     lower_bound + last_prime
														while upper_bound > current <= limit:
																					matches_sum += current
																					current += last_prime

														# Reset the upper_bound
														while (upper_bound - next_prime) > limit:
																					upper_bound -= next_prime

														# Add the numbers divisible by ups(current)
														a__             =     upper_bound - next_prime
														while current > lower_bound:
																					matches_sum += current
																					current -= next_prime

														# Remove the numbers divisible by both ups and lps
														a__             =     0
														while upper_bound > current <= limit:
																					if current <= lower_bound:
																												# Increment the current number
																												current += last_prime * next_prime
																												continue

																					if current > limit:
																												break

																					# Remove twice since it was added by both ups and lps
																					matches_sum -= current * 2

																					# Increment the current number
																					current += last_prime * next_prime

														# Setup for next pair
														a__             =     next_prime
														prime_index += 1

							return matches_sum


if __name__ == "__main__":
						print(solution())




