



"""simple docstring"""







import warnings
from typing import Dict, List, Optional, Tuple

from ...tokenization_utils import AddedToken, PreTrainedTokenizer
from ...utils import logging


lowerCAmelCase_   						=   logging.get_logger(__name__)
class        __A       (	__snake_case    ):







		'''simple docstring'''





		lowerCAmelCase			:					Optional[int]   	=				["""input_ids""", """attention_mask"""]







		def __init__(	self						:  Optional[int]			,_snake_case						:  str="</s>"			,_snake_case						:  Optional[int]="<unk>"			,_snake_case						:  Union[str, Any]="<pad>"			,_snake_case						:  Union[str, Any]=125			,_snake_case						:  Dict=None			,**_snake_case						:  Dict			,)					->		Tuple:






				"""simple docstring"""



				if extra_ids > 0 and additional_special_tokens is None:
						lowercase__   :    List[str]				=			[f"""<extra_id_{i}>""" for i in range(_snake_case						)]
				elif extra_ids > 0 and additional_special_tokens is not None:
						# Check that we have the right number of extra_id special tokens
						lowercase__   :    Optional[int]				=			len(set(filter(lambda _snake_case						: bool('''extra_id''' in str(_snake_case						)						)			,_snake_case						)						)						)
						if extra_tokens != extra_ids:
								raise ValueError(
								    f"""Both extra_ids ({extra_ids}) and additional_special_tokens ({additional_special_tokens}) are"""
								    ''' provided to ByT5Tokenizer. In this case the additional_special_tokens must include the'''
								    ''' extra_ids tokens'''						)

				lowercase__   :    Optional[Any]				=			AddedToken(_snake_case			,lstrip=_snake_case			,rstrip=_snake_case						) if isinstance(_snake_case			,_snake_case						) else pad_token
				lowercase__   :    int				=			AddedToken(_snake_case			,lstrip=_snake_case			,rstrip=_snake_case						) if isinstance(_snake_case			,_snake_case						) else eos_token
				lowercase__   :    List[str]				=			AddedToken(_snake_case			,lstrip=_snake_case			,rstrip=_snake_case						) if isinstance(_snake_case			,_snake_case						) else unk_token

				super().__init__(
				    eos_token=_snake_case			,unk_token=_snake_case			,pad_token=_snake_case			,extra_ids=_snake_case			,additional_special_tokens=_snake_case			,**_snake_case			,)

				lowercase__   :    Optional[int]				=			extra_ids

				lowercase__   :    List[Any]				=			2**8  # utf is 8 bits

				# define special tokens dict
				lowercase__   :    Dict[int, str]				=			{
				    self.pad_token: 0,
				    self.eos_token: 1,
				    self.unk_token: 2,
				}
				lowercase__   :    Any				=			len(self.special_tokens_encoder						)
				lowercase__   :    str				=			len(_snake_case						)
				for i, token in enumerate(_snake_case						):
						lowercase__   :    str				=			self.vocab_size + i - n
				lowercase__   :    Dict[str, int]				=			{v: k for k, v in self.special_tokens_encoder.items()}







		@property
		def 					UpperCAmelCase    (	self						:  Union[str, Any]						)					->		Optional[Any]:






				"""simple docstring"""



				return self._utf_vocab_size + self._num_special_tokens + self._extra_ids







		def 					UpperCAmelCase    (	self						:  List[Any]			,_snake_case						:  str			,_snake_case						:  Any = None			,_snake_case						:  Union[str, Any] = False						)					->		Dict:






				"""simple docstring"""



				if already_has_special_tokens:
						return super().get_special_tokens_mask(
						    token_ids_a=_snake_case			,token_ids_a=_snake_case			,already_has_special_tokens=_snake_case						)

				# normal case: some special tokens
				if token_ids_a is None:
						return ([0] * len(_snake_case						)) + [1]
				return ([0] * len(_snake_case						)) + [1] + ([0] * len(_snake_case						)) + [1]







		def 					UpperCAmelCase    (	self						:  List[str]			,_snake_case						:  List[Any]						)					->		Tuple:






				"""simple docstring"""



				if len(_snake_case						) > 0 and token_ids[-1] == self.eos_token_id:
						warnings.warn(
						    f"""This sequence already has {self.eos_token}. In future versions this behavior may lead to duplicated"""
						    ''' eos tokens being added.'''						)
						return token_ids
				else:
						return token_ids + [self.eos_token_id]







		def 					UpperCAmelCase    (	self						:  List[str]			,_snake_case						:  int			,_snake_case						:  List[str] = None						)					->		List[str]:






				"""simple docstring"""



				lowercase__   :    Optional[Any]				=			[self.eos_token_id]

				if token_ids_a is None:
						return len(token_ids_a + eos						) * [0]
				return len(token_ids_a + eos + token_ids_a + eos						) * [0]







		def 					UpperCAmelCase    (	self						:  List[str]			,_snake_case						:  Union[str, Any]			,_snake_case						:  int = None						)					->		str:






				"""simple docstring"""



				lowercase__   :    Tuple				=			self._add_eos_if_not_present(_snake_case						)
				if token_ids_a is None:
						return token_ids_a
				else:
						lowercase__   :    int				=			self._add_eos_if_not_present(_snake_case						)
						return token_ids_a + token_ids_a







		def 					UpperCAmelCase    (	self						:  str			,_snake_case						:  Dict						)					->		Any:






				"""simple docstring"""



				lowercase__   :    Optional[Any]				=			[chr(_snake_case						) for i in text.encode('''utf-8'''						)]
				return tokens







		def 					UpperCAmelCase    (	self						:  Union[str, Any]			,_snake_case						:  Any						)					->		Dict:






				"""simple docstring"""



				if token in self.special_tokens_encoder:
						lowercase__   :    Tuple				=			self.special_tokens_encoder[token]
				elif token in self.added_tokens_encoder:
						lowercase__   :    Any				=			self.added_tokens_encoder[token]
				elif len(_snake_case						) != 1:
						lowercase__   :    Tuple				=			self.unk_token_id
				else:
						lowercase__   :    Optional[int]				=			ord(_snake_case						) + self._num_special_tokens
				return token_id







		def 					UpperCAmelCase    (	self						:  List[Any]			,_snake_case						:  List[str]						)					->		Union[str, Any]:






				"""simple docstring"""



				if index in self.special_tokens_decoder:
						lowercase__   :    Any				=			self.special_tokens_decoder[index]
				else:
						lowercase__   :    int				=			chr(index - self._num_special_tokens						)
				return token







		def 					UpperCAmelCase    (	self						:  Dict			,_snake_case						:  Tuple						)					->		str:






				"""simple docstring"""



				lowercase__   :    Optional[int]				=			B''
				for token in tokens:
						if token in self.special_tokens_decoder:
								lowercase__   :    Any				=			self.special_tokens_decoder[token].encode('''utf-8'''						)
						elif token in self.added_tokens_decoder:
								lowercase__   :    Dict				=			self.special_tokens_decoder[token].encode('''utf-8'''						)
						elif token in self.special_tokens_encoder:
								lowercase__   :    List[Any]				=			token.encode('''utf-8'''						)
						elif token in self.added_tokens_encoder:
								lowercase__   :    List[str]				=			token.encode('''utf-8'''						)
						else:
								lowercase__   :    Any				=			bytes([ord(_snake_case						)]						)
						bstring += tok_string
				lowercase__   :    str				=			bstring.decode('''utf-8'''			,errors='''ignore'''						)
				return string







		def 					UpperCAmelCase    (	self						:  List[Any]			,_snake_case						:  Tuple			,_snake_case						:  Optional[Any] = None						)					->		Any:






				"""simple docstring"""



				return ()



import math

def 	snake_case__			(    SCREAMING_SNAKE_CASE_		:    int			):



     '''simple docstring'''





     lowercase__    :   Optional[Any]      =       []
     lowercase__    :   str      =       2
     lowercase__    :   Optional[Any]      =       int(math.sqrt(SCREAMING_SNAKE_CASE_			)			)  # Size of every segment
     lowercase__    :   Dict      =       [True] * (end + 1)
     lowercase__    :   Union[str, Any]      =       []

     while start <= end:
          if temp[start] is True:
               in_prime.append(SCREAMING_SNAKE_CASE_			)
               for i in range(start * start	,     end + 1	,     SCREAMING_SNAKE_CASE_			):
                    lowercase__    :   int      =       False
          start += 1
     prime += in_prime

     lowercase__    :   Optional[int]      =       end + 1
     lowercase__    :   List[str]      =       min(2 * end	,     SCREAMING_SNAKE_CASE_			)

     while low <= n:
          lowercase__    :   str      =       [True] * (high - low + 1)
          for each in in_prime:
               lowercase__    :   str      =       math.floor(low / each			) * each
               if t < low:
                    t += each

               for j in range(SCREAMING_SNAKE_CASE_	,     high + 1	,     SCREAMING_SNAKE_CASE_			):
                    lowercase__    :   Optional[Any]      =       False

          for j in range(len(SCREAMING_SNAKE_CASE_			)			):
               if temp[j] is True:
                    prime.append(j + low			)

          lowercase__    :   Optional[Any]      =       high + 1
          lowercase__    :   Optional[int]      =       min(high + end	,     SCREAMING_SNAKE_CASE_			)

     return prime

print(sieve(10**6))

