






"""simple docstring"""

def 		__lowerCamelCase	(  __UpperCamelCase = 600851475143       )						->    int:

		"""simple docstring"""







		try:
				lowerCAmelCase_   :							List[str]									=			int(__UpperCamelCase       )
		except (TypeError, ValueError):
				raise TypeError("Parameter n must be int or castable to int."       )
		if n <= 0:
				raise ValueError("Parameter n must be greater than or equal to one."       )
		lowerCAmelCase_   :							List[Any]									=			2
		lowerCAmelCase_   :							Union[str, Any]									=			0
		if n == 2:
				return 2
		while n > 2:
				while n % i != 0:
						i += 1
				lowerCAmelCase_   :							List[Any]									=			i
				while n % i == 0:
						lowerCAmelCase_   :							Union[str, Any]									=			n // i
				i += 1
		return int(__UpperCamelCase       )


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








"""simple docstring"""

from dataclasses import asdict, dataclass
from typing import Optional

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


lowercase__          = logging.get_logger(__name__)

# TODO Update this
lowercase__          = {
    """facebook/esm-1b""": """https://huggingface.co/facebook/esm-1b/resolve/main/config.json""",
    # See all ESM models at https://huggingface.co/models?filter=esm
}


class 		__lowerCamelCase				( A__			):





		'''simple docstring'''






		a_	:				str            =							"""esm"""





		def __init__(   self							:	Union[str, Any]						,			a_							:	int=None						,			a_							:	List[str]=None						,			a_							:	Optional[int]=None						,			a_							:	Optional[int]=7_68						,			a_							:	List[Any]=12						,			a_							:	List[str]=12						,			a_							:	Optional[Any]=30_72						,			a_							:	Optional[Any]=0.1						,			a_							:	Tuple=0.1						,			a_							:	Union[str, Any]=10_26						,			a_							:	List[str]=0.02						,			a_							:	Optional[int]=1e-1_2						,			a_							:	int="absolute"						,			a_							:	Union[str, Any]=True						,			a_							:	int=None						,			a_							:	int=False						,			a_							:	Optional[Any]=False						,			a_							:	Any=None						,			a_							:	List[str]=None						,			**a_							:	int						,			):
				super().__init__(pad_token_id=a_						,			mask_token_id=a_						,			**a_	)

				lowerCAmelCase_   :							str									=			vocab_size
				lowerCAmelCase_   :							List[str]									=			hidden_size
				lowerCAmelCase_   :							str									=			num_hidden_layers
				lowerCAmelCase_   :							str									=			num_attention_heads
				lowerCAmelCase_   :							Tuple									=			intermediate_size
				lowerCAmelCase_   :							List[str]									=			hidden_dropout_prob
				lowerCAmelCase_   :							Dict									=			attention_probs_dropout_prob
				lowerCAmelCase_   :							Dict									=			max_position_embeddings
				lowerCAmelCase_   :							Optional[Any]									=			initializer_range
				lowerCAmelCase_   :							Tuple									=			layer_norm_eps
				lowerCAmelCase_   :							Dict									=			position_embedding_type
				lowerCAmelCase_   :							str									=			use_cache
				lowerCAmelCase_   :							str									=			emb_layer_norm_before
				lowerCAmelCase_   :							Any									=			token_dropout
				lowerCAmelCase_   :							str									=			is_folding_model
				if is_folding_model:
						if esmfold_config is None:
								logger.info("No esmfold_config supplied for folding model, using default values."	)
								lowerCAmelCase_   :							int									=			EsmFoldConfig()
						elif isinstance(a_						,			a_	):
								lowerCAmelCase_   :							int									=			EsmFoldConfig(**a_	)
						lowerCAmelCase_   :							Tuple									=			esmfold_config
						if vocab_list is None:
								logger.warning("No vocab_list supplied for folding model, assuming the ESM-2 vocabulary!"	)
								lowerCAmelCase_   :							Any									=			get_default_vocab_list()
						else:
								lowerCAmelCase_   :							Optional[Any]									=			vocab_list
				else:
						lowerCAmelCase_   :							List[str]									=			None
						lowerCAmelCase_   :							Tuple									=			None
				if self.esmfold_config is not None and getattr(self.esmfold_config						,			"use_esm_attn_map"						,			a_	):
						raise ValueError("The HuggingFace port of ESMFold does not support use_esm_attn_map at this time!"	)





		def    lowerCamelCase       (   self							:	Dict	):
				lowerCAmelCase_   :							List[str]									=			super().to_dict()
				if isinstance(self.esmfold_config						,			a_	):
						lowerCAmelCase_   :							int									=			self.esmfold_config.to_dict()
				return output







@dataclass
class 		__lowerCamelCase				:





		'''simple docstring'''






		a_	:				str            =							None
		a_	:				bool            =							True
		a_	:				bool            =							False
		a_	:				bool            =							False
		a_	:				bool            =							False
		a_	:				float            =							0

		a_	:				bool            =							True
		a_	:				bool            =							False

		a_	:				int            =							128
		a_	:				"TrunkConfig"            =							None





		def    lowerCamelCase       (   self							:	str	):
				if self.trunk is None:
						lowerCAmelCase_   :							List[Any]									=			TrunkConfig()
				elif isinstance(self.trunk						,			a_	):
						lowerCAmelCase_   :							str									=			TrunkConfig(**self.trunk	)





		def    lowerCamelCase       (   self							:	Any	):
				lowerCAmelCase_   :							Any									=			asdict(self	)
				lowerCAmelCase_   :							int									=			self.trunk.to_dict()
				return output







@dataclass
class 		__lowerCamelCase				:





		'''simple docstring'''






		a_	:				int            =							48
		a_	:				int            =							1024
		a_	:				int            =							128
		a_	:				int            =							32
		a_	:				int            =							32
		a_	:				int            =							32
		a_	:				float            =							0
		a_	:				float            =							0
		a_	:				bool            =							False
		a_	:				int            =							4
		a_	:				Optional[int]            =							128
		a_	:				"StructureModuleConfig"            =							None





		def    lowerCamelCase       (   self							:	Optional[Any]	):
				if self.structure_module is None:
						lowerCAmelCase_   :							Any									=			StructureModuleConfig()
				elif isinstance(self.structure_module						,			a_	):
						lowerCAmelCase_   :							Union[str, Any]									=			StructureModuleConfig(**self.structure_module	)

				if self.max_recycles <= 0:
						raise ValueError(f'''`max_recycles` should be positive, got {self.max_recycles}.'''	)
				if self.sequence_state_dim % self.sequence_state_dim != 0:
						raise ValueError(
						    "`sequence_state_dim` should be a round multiple of `sequence_state_dim`, got"
						    f''' {self.sequence_state_dim} and {self.sequence_state_dim}.'''	)
				if self.pairwise_state_dim % self.pairwise_state_dim != 0:
						raise ValueError(
						    "`pairwise_state_dim` should be a round multiple of `pairwise_state_dim`, got"
						    f''' {self.pairwise_state_dim} and {self.pairwise_state_dim}.'''	)

				lowerCAmelCase_   :							List[str]									=			self.sequence_state_dim // self.sequence_head_width
				lowerCAmelCase_   :							str									=			self.pairwise_state_dim // self.pairwise_head_width

				if self.sequence_state_dim != sequence_num_heads * self.sequence_head_width:
						raise ValueError(
						    "`sequence_state_dim` should be equal to `sequence_num_heads * sequence_head_width, got"
						    f''' {self.sequence_state_dim} != {sequence_num_heads} * {self.sequence_head_width}.'''	)
				if self.pairwise_state_dim != pairwise_num_heads * self.pairwise_head_width:
						raise ValueError(
						    "`pairwise_state_dim` should be equal to `pairwise_num_heads * pairwise_head_width, got"
						    f''' {self.pairwise_state_dim} != {pairwise_num_heads} * {self.pairwise_head_width}.'''	)
				if self.pairwise_state_dim % 2 != 0:
						raise ValueError(f'''`pairwise_state_dim` should be even, got {self.pairwise_state_dim}.'''	)

				if self.dropout >= 0.4:
						raise ValueError(f'''`dropout` should not be greater than 0.4, got {self.dropout}.'''	)





		def    lowerCamelCase       (   self							:	Optional[int]	):
				lowerCAmelCase_   :							Union[str, Any]									=			asdict(self	)
				lowerCAmelCase_   :							str									=			self.structure_module.to_dict()
				return output







@dataclass
class 		__lowerCamelCase				:





		'''simple docstring'''






		a_	:				int            =							384
		a_	:				int            =							128
		a_	:				int            =							16
		a_	:				int            =							128
		a_	:				int            =							12
		a_	:				int            =							4
		a_	:				int            =							8
		a_	:				float            =							0.1
		a_	:				int            =							8
		a_	:				int            =							1
		a_	:				int            =							2
		a_	:				int            =							7
		a_	:				int            =							10
		a_	:				float            =							1E-8
		a_	:				float            =							1E5





		def    lowerCamelCase       (   self							:	Optional[int]	):
				return asdict(self	)







def 		__lowerCamelCase	(  )						->    Tuple:

		"""simple docstring"""







		return (
		    "<cls>",
		    "<pad>",
		    "<eos>",
		    "<unk>",
		    "L",
		    "A",
		    "G",
		    "V",
		    "S",
		    "E",
		    "R",
		    "T",
		    "I",
		    "D",
		    "P",
		    "K",
		    "Q",
		    "N",
		    "F",
		    "Y",
		    "M",
		    "H",
		    "W",
		    "C",
		    "X",
		    "B",
		    "U",
		    "Z",
		    "O",
		    ".",
		    "-",
		    "<null_1>",
		    "<mask>",
		)
