




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

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


SCREAMING_SNAKE_CASE__       :      List[str]  =   logging.get_logger(__name__)




class 		UpperCamelCase__	(lowerCAmelCase__     ):

    '''simple docstring'''



    lowerCamelCase_      :	List[Any]	     =      ["""input_ids""", """attention_mask"""]







    def __init__(    self     ,  UpperCamelCase__="</s>"     ,  UpperCamelCase__="<unk>"     ,  UpperCamelCase__="<pad>"     ,  UpperCamelCase__=125     ,  UpperCamelCase__=None     ,  **UpperCamelCase__     ,  )     ->      None:
           # Add extra_ids to the special token list
           if extra_ids > 0 and additional_special_tokens is None:
                  lowerCamelCase   :      str			 =					[F'''<extra_id_{i}>''' for i in range(UpperCamelCase__     )]
           elif extra_ids > 0 and additional_special_tokens is not None:
                  # Check that we have the right number of extra_id special tokens
                  lowerCamelCase   :      Union[str, Any]			 =					len(set(filter(lambda UpperCamelCase__     : bool("extra_id" in str(UpperCamelCase__     )     )     ,  UpperCamelCase__     )     )     )
                  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"     )

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

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

           lowerCamelCase   :      Any			 =					extra_ids

           lowerCamelCase   :      Optional[Any]			 =					2**8  # utf is 8 bits

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







    @property
    def     _lowercase     (    self     )     ->      str:
           return self._utf_vocab_size + self._num_special_tokens + self._extra_ids







    def     _lowercase     (    self     ,  UpperCamelCase__     ,  UpperCamelCase__ = None     ,  UpperCamelCase__ = False     )     ->      List[int]:
           if already_has_special_tokens:
                  return super().get_special_tokens_mask(
                      token_ids_a=UpperCamelCase__     ,  token_ids_a=UpperCamelCase__     ,  already_has_special_tokens=UpperCamelCase__     )

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







    def     _lowercase     (    self     ,  UpperCamelCase__     )     ->      List[int]:
           if len(UpperCamelCase__     ) > 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     _lowercase     (    self     ,  UpperCamelCase__     ,  UpperCamelCase__ = None     )     ->      List[int]:
           lowerCamelCase   :      Tuple			 =					[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     _lowercase     (    self     ,  UpperCamelCase__     ,  UpperCamelCase__ = None     )     ->      List[int]:
           lowerCamelCase   :      List[str]			 =					self._add_eos_if_not_present(UpperCamelCase__     )
           if token_ids_a is None:
                  return token_ids_a
           else:
                  lowerCamelCase   :      List[str]			 =					self._add_eos_if_not_present(UpperCamelCase__     )
                  return token_ids_a + token_ids_a







    def     _lowercase     (    self     ,  UpperCamelCase__     )     ->      List[str]:
           lowerCamelCase   :      Any			 =					[chr(UpperCamelCase__     ) for i in text.encode("utf-8"     )]
           return tokens







    def     _lowercase     (    self     ,  UpperCamelCase__     )     ->      Union[str, Any]:
           if token in self.special_tokens_encoder:
                  lowerCamelCase   :      Tuple			 =					self.special_tokens_encoder[token]
           elif token in self.added_tokens_encoder:
                  lowerCamelCase   :      List[str]			 =					self.added_tokens_encoder[token]
           elif len(UpperCamelCase__     ) != 1:
                  lowerCamelCase   :      Dict			 =					self.unk_token_id
           else:
                  lowerCamelCase   :      int			 =					ord(UpperCamelCase__     ) + self._num_special_tokens
           return token_id







    def     _lowercase     (    self     ,  UpperCamelCase__     )     ->      Any:
           if index in self.special_tokens_decoder:
                  lowerCamelCase   :      List[str]			 =					self.special_tokens_decoder[index]
           else:
                  lowerCamelCase   :      Any			 =					chr(index - self._num_special_tokens     )
           return token







    def     _lowercase     (    self     ,  UpperCamelCase__     )     ->      List[Any]:
           lowerCamelCase   :      str			 =					B""
           for token in tokens:
                  if token in self.special_tokens_decoder:
                         lowerCamelCase   :      List[str]			 =					self.special_tokens_decoder[token].encode("utf-8"     )
                  elif token in self.added_tokens_decoder:
                         lowerCamelCase   :      int			 =					self.special_tokens_decoder[token].encode("utf-8"     )
                  elif token in self.special_tokens_encoder:
                         lowerCamelCase   :      Optional[int]			 =					token.encode("utf-8"     )
                  elif token in self.added_tokens_encoder:
                         lowerCamelCase   :      Optional[Any]			 =					token.encode("utf-8"     )
                  else:
                         lowerCamelCase   :      Optional[Any]			 =					bytes([ord(UpperCamelCase__     )]     )
                  bstring += tok_string
           lowerCamelCase   :      Union[str, Any]			 =					bstring.decode("utf-8"     ,  errors="ignore"     )
           return string







    def     _lowercase     (    self     ,  UpperCamelCase__     ,  UpperCamelCase__ = None     )     ->      Tuple[str]:
           return ()












import random

from .binary_exp_mod import bin_exp_mod

def      A      (      _SCREAMING_SNAKE_CASE ,_SCREAMING_SNAKE_CASE=1000    )	-> List[str]:
       if n < 2:
              return False

       if n % 2 == 0:
              return n == 2

       # this means n is odd
       lowerCamelCase   :      List[Any]			 =					n - 1
       lowerCamelCase   :      Dict			 =					0
       while d % 2 == 0:
              d /= 2
              exp += 1

       # n - 1=d*(2**exp)
       lowerCamelCase   :      Optional[Any]			 =					0
       while count < prec:
              lowerCamelCase   :      str			 =					random.randint(2 ,n - 1    )
              lowerCamelCase   :      Dict			 =					bin_exp_mod(_SCREAMING_SNAKE_CASE ,_SCREAMING_SNAKE_CASE ,_SCREAMING_SNAKE_CASE    )
              if b != 1:
                     lowerCamelCase   :      str			 =					True
                     for _ in range(_SCREAMING_SNAKE_CASE    ):
                            if b == n - 1:
                                   lowerCamelCase   :      Tuple			 =					False
                                   break
                            lowerCamelCase   :      int			 =					b * b
                            b %= n
                     if flag:
                            return False
                     count += 1
       return True


if __name__ == "__main__":
       SCREAMING_SNAKE_CASE__       :      Optional[int]  =   abs(int(input('Enter bound : ').strip()))
       print('Here\'s the list of primes:')
       print(', '.join(str(i) for i in range(n + 1) if is_prime_big(i)))






