



from __future__ import annotations

from functools import lru_cache
from math import ceil

lowercase_	       =			1_00

lowercase_	       =			set(range(3, NUM_PRIMES, 2))
primes.add(2)
lowercase_	       =			42

for prime in range(3, ceil(NUM_PRIMES**0.5), 2):
				if prime not in primes:
								continue
				primes.difference_update(set(range(prime * prime, NUM_PRIMES, prime)))






@lru_cache(maxsize=100	)
def 					__lowerCAmelCase		(  __lowerCamelCase	:    int	)  ->						set[int]:
					if number_to_partition < 0:
										return set()
					elif number_to_partition == 0:
										return {1}

					__lowerCAmelCase	   =set()
					__lowerCAmelCase	   =42
					__lowerCAmelCase	   =42

					for prime in primes:
										if prime > number_to_partition:
															continue
										for sub in partition(number_to_partition - prime	):
															ret.add(sub * prime	)

					return ret






def 					__lowerCAmelCase		(  __lowerCamelCase	:    int = 5000	)  ->						int | None:
					for number_to_partition in range(1				,   __lowerCamelCase	):
										if len(partition(__lowerCamelCase	)	) > number_unique_partitions:
															return number_to_partition
					return None


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









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


lowercase_	       =			logging.get_logger(__name__)

lowercase_	       =			{
    '''google/realm-cc-news-pretrained-embedder''': (
        '''https://huggingface.co/google/realm-cc-news-pretrained-embedder/resolve/main/config.json'''
    ),
    '''google/realm-cc-news-pretrained-encoder''': (
        '''https://huggingface.co/google/realm-cc-news-pretrained-encoder/resolve/main/config.json'''
    ),
    '''google/realm-cc-news-pretrained-scorer''': (
        '''https://huggingface.co/google/realm-cc-news-pretrained-scorer/resolve/main/config.json'''
    ),
    '''google/realm-cc-news-pretrained-openqa''': (
        '''https://huggingface.co/google/realm-cc-news-pretrained-openqa/aresolve/main/config.json'''
    ),
    '''google/realm-orqa-nq-openqa''': '''https://huggingface.co/google/realm-orqa-nq-openqa/resolve/main/config.json''',
    '''google/realm-orqa-nq-reader''': '''https://huggingface.co/google/realm-orqa-nq-reader/resolve/main/config.json''',
    '''google/realm-orqa-wq-openqa''': '''https://huggingface.co/google/realm-orqa-wq-openqa/resolve/main/config.json''',
    '''google/realm-orqa-wq-reader''': '''https://huggingface.co/google/realm-orqa-wq-reader/resolve/main/config.json''',
    # See all REALM models at https://huggingface.co/models?filter=realm
}






class 						__a (     SCREAMING_SNAKE_CASE				):
	SCREAMING_SNAKE_CASE       =       "realm"



	def __init__(						self							:    Tuple				,	snake_case_							:    Tuple=3_05_22				,	snake_case_							:    List[Any]=7_68				,	snake_case_							:    Any=1_28				,	snake_case_							:    Union[str, Any]=12				,	snake_case_							:    List[str]=12				,	snake_case_							:    Any=8				,	snake_case_							:    Any=30_72				,	snake_case_							:    int="gelu_new"				,	snake_case_							:    Optional[int]=0.1				,	snake_case_							:    Tuple=0.1				,	snake_case_							:    List[Any]=5_12				,	snake_case_							:    List[Any]=2				,	snake_case_							:    Any=0.0_2				,	snake_case_							:    List[str]=1e-12				,	snake_case_							:    Optional[Any]=2_56				,	snake_case_							:    Dict=10				,	snake_case_							:    str=1e-3				,	snake_case_							:    List[str]=5				,	snake_case_							:    Optional[Any]=3_20				,	snake_case_							:    Optional[Any]=13_35_37_18				,	snake_case_							:    Tuple=50_00				,	snake_case_							:    Union[str, Any]=1				,	snake_case_							:    Union[str, Any]=0				,	snake_case_							:    List[str]=2				,	**snake_case_							:    List[str]				,	)->							str:
						super().__init__(pad_token_id=snake_case_				,	bos_token_id=snake_case_				,	eos_token_id=snake_case_				,	**snake_case_)

						# Common config
						__lowerCAmelCase	   =vocab_size
						__lowerCAmelCase	   =max_position_embeddings
						__lowerCAmelCase	   =hidden_size
						__lowerCAmelCase	   =retriever_proj_size
						__lowerCAmelCase	   =num_hidden_layers
						__lowerCAmelCase	   =num_attention_heads
						__lowerCAmelCase	   =num_candidates
						__lowerCAmelCase	   =intermediate_size
						__lowerCAmelCase	   =hidden_act
						__lowerCAmelCase	   =hidden_dropout_prob
						__lowerCAmelCase	   =attention_probs_dropout_prob
						__lowerCAmelCase	   =initializer_range
						__lowerCAmelCase	   =type_vocab_size
						__lowerCAmelCase	   =layer_norm_eps

						# Reader config
						__lowerCAmelCase	   =span_hidden_size
						__lowerCAmelCase	   =max_span_width
						__lowerCAmelCase	   =reader_layer_norm_eps
						__lowerCAmelCase	   =reader_beam_size
						__lowerCAmelCase	   =reader_seq_len

						# Retrieval config
						__lowerCAmelCase	   =num_block_records
						__lowerCAmelCase	   =searcher_beam_size




