
"""simple docstring"""





import json
from typing import Iterator, List, Union

from tokenizers import AddedToken, Regex, Tokenizer, decoders, normalizers, pre_tokenizers, trainers
from tokenizers.implementations.base_tokenizer import BaseTokenizer
from tokenizers.models import Unigram
from tokenizers.processors import TemplateProcessing
class 		SCREAMING_SNAKE_CASE_					(		__UpperCAmelCase					):




		"""simple docstring"""





		def __init__(	self				,    lowerCAmelCase__ = "▁"				,    lowerCAmelCase__ = True				,    lowerCAmelCase__ = "<unk>"				,    lowerCAmelCase__ = "</s>"				,    lowerCAmelCase__ = "<pad>"				,    ):
				__SCREAMING_SNAKE_CASE				=					{
				    'pad': {'id': 0, 'token': pad_token},
				    'eos': {'id': 1, 'token': eos_token},
				    'unk': {'id': 2, 'token': unk_token},
				}

				__SCREAMING_SNAKE_CASE				=					[None] * len(self.special_tokens)
				for token_dict in self.special_tokens.values():
						__SCREAMING_SNAKE_CASE				=					token_dict['token']

				__SCREAMING_SNAKE_CASE				=					Tokenizer(Unigram())

				__SCREAMING_SNAKE_CASE				=					normalizers.Sequence(
				    [
				        normalizers.Nmt(),
				        normalizers.NFKC(),
				        normalizers.Replace(Regex(""" {2,}""")				,    """ """),
				        normalizers.Lowercase(),
				    ])
				__SCREAMING_SNAKE_CASE				=					pre_tokenizers.Sequence(
				    [
				        pre_tokenizers.Metaspace(replacement=lowerCAmelCase_				,    add_prefix_space=lowerCAmelCase_),
				        pre_tokenizers.Digits(individual_digits=lowerCAmelCase_),
				        pre_tokenizers.Punctuation(),
				    ])
				__SCREAMING_SNAKE_CASE				=					decoders.Metaspace(replacement=lowerCAmelCase_				,    add_prefix_space=lowerCAmelCase_)

				__SCREAMING_SNAKE_CASE				=					TemplateProcessing(
				    single=f"$A {self.special_tokens['eos']['token']}"				,    special_tokens=[(self.special_tokens["""eos"""]["""token"""], self.special_tokens["""eos"""]["""id"""])]				,    )

				__SCREAMING_SNAKE_CASE				=					{
				    'model': 'SentencePieceUnigram',
				    'replacement': replacement,
				    'add_prefix_space': add_prefix_space,
				}

				super().__init__(lowerCAmelCase_				,    lowerCAmelCase_)




		def       snake_case_	(	self				,    lowerCAmelCase__				,    lowerCAmelCase__ = 8_0_0_0				,    lowerCAmelCase__ = True				,    ):
				__SCREAMING_SNAKE_CASE				=					trainers.UnigramTrainer(
				    vocab_size=lowerCAmelCase_				,    special_tokens=self.special_tokens_list				,    show_progress=lowerCAmelCase_				,    )

				if isinstance(lowerCAmelCase_				,    lowerCAmelCase_):
						__SCREAMING_SNAKE_CASE				=					[files]
				self._tokenizer.train(lowerCAmelCase_				,    trainer=lowerCAmelCase_)

				self.add_unk_id()




		def       snake_case_	(	self				,    lowerCAmelCase__				,    lowerCAmelCase__ = 8_0_0_0				,    lowerCAmelCase__ = True				,    ):
				__SCREAMING_SNAKE_CASE				=					trainers.UnigramTrainer(
				    vocab_size=lowerCAmelCase_				,    special_tokens=self.special_tokens_list				,    show_progress=lowerCAmelCase_				,    )

				self._tokenizer.train_from_iterator(lowerCAmelCase_				,    trainer=lowerCAmelCase_)

				self.add_unk_id()




		def       snake_case_	(	self):
				__SCREAMING_SNAKE_CASE				=					json.loads(self._tokenizer.to_str())

				__SCREAMING_SNAKE_CASE				=					self.special_tokens['unk']['id']

				__SCREAMING_SNAKE_CASE				=					Tokenizer.from_str(json.dumps(lowerCAmelCase_))












"""simple docstring"""
from __future__ import annotations

from collections.abc import Generator





def 				lowercase__		(					):
				_SCREAMING_SNAKE_CASE   :		dict[int, int]       		=    {}
				_SCREAMING_SNAKE_CASE   :		List[Any]       		=    2
				while True:
								_SCREAMING_SNAKE_CASE   :		List[Any]       		=    factor_map.pop(lowerCamelCase,						lowerCamelCase       )
								if factor:
												_SCREAMING_SNAKE_CASE   :		str       		=    factor + prime
												while x in factor_map:
																x += factor
												_SCREAMING_SNAKE_CASE   :		Union[str, Any]       		=    factor
								else:
												_SCREAMING_SNAKE_CASE   :		Optional[int]       		=    prime
												yield prime
								prime += 1





def 				lowercase__		(					lowerCamelCase = 1E10       ):
				_SCREAMING_SNAKE_CASE   :		Dict       		=    sieve()

				_SCREAMING_SNAKE_CASE   :		Dict       		=    1
				while True:
								_SCREAMING_SNAKE_CASE   :		int       		=    next(lowerCamelCase       )
								if (2 * prime * n) > limit:
												return n
								# Ignore the next prime as the reminder will be 2.
								next(lowerCamelCase       )
								n += 2


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

