



'''simple docstring'''





from math import sqrt




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A) and (
         number >= 0
     ), "'number' must been an int and positive"

     _a      =  True

     # 0 and 1 are none primes.
     if number <= 1:
          _a      =  False

     for divisor in range(2  ,	int(round(sqrt(__A))) + 1):
          # if 'number' divisible by 'divisor' then sets 'status'
          # of false and break up the loop.
          if number % divisor == 0:
               _a      =  False
               break

    # precondition
     assert isinstance(__A  ,	__A), "'status' must been from type bool"

     return status




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A) and (n > 2), "'N' must been an int and > 2"

     # beginList: contains all natural numbers from 2 up to N
     _a      =  list(range(2  ,	n + 1))

     _a      =  []  # this list will be returns.

     # actual sieve of erathostenes
     for i in range(len(__A)):
          for j in range(i + 1  ,	len(__A)):
               if (begin_list[i] != 0) and (begin_list[j] % begin_list[i] == 0):
                    _a      =  0

    # filters actual prime numbers.
     _a      =  [x for x in begin_list if x != 0]

     # precondition
     assert isinstance(__A  ,	__A), "'ans' must been from type list"

     return ans




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A) and (n > 2), "'N' must been an int and > 2"

     _a      =  []

     # iterates over all numbers between 2 up to N+1
     # if a number is prime then appends to list 'ans'
     for number in range(2  ,	n + 1):
          if is_prime(__A):
               ans.append(__A)

    # precondition
     assert isinstance(__A  ,	__A), "'ans' must been from type list"

     return ans




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A) and number >= 0, "'number' must been an int and >= 0"

     _a      =  []  # this list will be returns of the function.

     # potential prime number factors.

     _a      =  2

     _a      =  number

     if number == 0 or number == 1:
          ans.append(__A)

     # if 'number' not prime then builds the prime factorization of 'number'
     elif not is_prime(__A):
          while quotient != 1:
               if is_prime(__A) and (quotient % factor == 0):
                    ans.append(__A)
                    quotient /= factor
               else:
                    factor += 1

     else:
          ans.append(__A)

     # precondition
     assert isinstance(__A  ,	__A), "'ans' must been from type list"

     return ans




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A) and (
         number >= 0
     ), "'number' bust been an int and >= 0"

     _a      =  0

     # prime factorization of 'number'
     _a      =  prime_factorization(__A)

     _a      =  max(__A)

     # precondition
     assert isinstance(__A  ,	__A), "'ans' must been from type int"

     return ans




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A) and (
         number >= 0
     ), "'number' bust been an int and >= 0"

     _a      =  0

     # prime factorization of 'number'
     _a      =  prime_factorization(__A)

     _a      =  min(__A)

     # precondition
     assert isinstance(__A  ,	__A), "'ans' must been from type int"

     return ans




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A), "'number' must been an int"
     assert isinstance(number % 2 == 0  ,	__A), "compare bust been from type bool"

     return number % 2 == 0




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A), "'number' must been an int"
     assert isinstance(number % 2 != 0  ,	__A), "compare bust been from type bool"

     return number % 2 != 0




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert (
         isinstance(__A  ,	__A) and (number > 2) and is_even(__A)
     ), "'number' must been an int, even and > 2"

     _a      =  []  # this list will returned

     # creates a list of prime numbers between 2 up to 'number'
     _a      =  get_prime_numbers(__A)
     _a      =  len(__A)

     # run variable for while-loops.
     _a      =  0
     _a      =  None

     # exit variable. for break up the loops
     _a      =  True

     while i < len_pn and loop:
          _a      =  i + 1

          while j < len_pn and loop:
               if prime_numbers[i] + prime_numbers[j] == number:
                    _a      =  False
                    ans.append(prime_numbers[i])
                    ans.append(prime_numbers[j])

               j += 1

          i += 1

     # precondition
     assert (
         isinstance(__A  ,	__A)
         and (len(__A) == 2)
         and (ans[0] + ans[1] == number)
         and is_prime(ans[0])
         and is_prime(ans[1])
     ), "'ans' must contains two primes. And sum of elements must been eq 'number'"

     return ans




def lowerCAmelCase  (__A  ,	__A):



     """simple docstring"""



     assert (
         isinstance(__A  ,	__A)
         and isinstance(__A  ,	__A)
         and (numbera >= 0)
         and (numbera >= 0)
     ), "'number1' and 'number2' must been positive integer."

     _a      =  0

     while numbera != 0:
          _a      =  numbera % numbera
          _a      =  numbera
          _a      =  rest

     # precondition
     assert isinstance(__A  ,	__A) and (
         numbera >= 0
     ), "'number' must been from type int and positive"

     return numbera




def lowerCAmelCase  (__A  ,	__A):



     """simple docstring"""



     assert (
         isinstance(__A  ,	__A)
         and isinstance(__A  ,	__A)
         and (numbera >= 1)
         and (numbera >= 1)
     ), "'number1' and 'number2' must been positive integer."

     _a      =  1  # actual answer that will be return.

     # for kgV (x,1)
     if numbera > 1 and numbera > 1:
          # builds the prime factorization of 'number1' and 'number2'
          _a      =  prime_factorization(__A)
          _a      =  prime_factorization(__A)

     elif numbera == 1 or numbera == 1:
          _a      =  []
          _a      =  []
          _a      =  max(__A  ,	__A)

     _a      =  0
     _a      =  0

     _a      =  []  # captured numbers int both 'primeFac1' and 'primeFac2'

     # iterates through primeFac1
     for n in prime_fac_a:
          if n not in done:
               if n in prime_fac_a:
                    _a      =  prime_fac_a.count(__A)
                    _a      =  prime_fac_a.count(__A)

                    for _ in range(max(__A  ,	__A)):
                         ans *= n

               else:
                    _a      =  prime_fac_a.count(__A)

                    for _ in range(__A):
                         ans *= n

               done.append(__A)

    # iterates through primeFac2
     for n in prime_fac_a:
          if n not in done:
               _a      =  prime_fac_a.count(__A)

               for _ in range(__A):
                    ans *= n

               done.append(__A)

    # precondition
     assert isinstance(__A  ,	__A) and (
         ans >= 0
     ), "'ans' must been from type int and positive"

     return ans




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A) and (n >= 0), "'number' must been a positive int"

     _a      =  0
     _a      =  2  # this variable holds the answer

     while index < n:
          index += 1

          ans += 1  # counts to the next number

          # if ans not prime then
          # runs to the next prime number.
          while not is_prime(__A):
               ans += 1

    # precondition
     assert isinstance(__A  ,	__A) and is_prime(
         __A), "'ans' must been a prime number and from type int"

     return ans




def lowerCAmelCase  (__A  ,	__A):



     """simple docstring"""



     assert (
         is_prime(__A) and is_prime(__A) and (p_number_a < p_number_a)
     ), "The arguments must been prime numbers and 'pNumber1' < 'pNumber2'"

     _a      =  p_number_a + 1  # jump to the next number

     _a      =  []  # this list will be returns.

     # if number is not prime then
     # fetch the next prime number.
     while not is_prime(__A):
          number += 1

     while number < p_number_a:
          ans.append(__A)

          number += 1

          # fetch the next prime number.
          while not is_prime(__A):
               number += 1

    # precondition
     assert (
         isinstance(__A  ,	__A)
         and ans[0] != p_number_a
         and ans[len(__A) - 1] != p_number_a
     ), "'ans' must been a list without the arguments"

     # 'ans' contains not 'pNumber1' and 'pNumber2' !
     return ans




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A) and (n >= 1), "'n' must been int and >= 1"

     _a      =  []  # will be returned.

     for divisor in range(1  ,	n + 1):
          if n % divisor == 0:
               ans.append(__A)

    # precondition
     assert ans[0] == 1 and ans[len(__A) - 1] == n, "Error in function getDivisiors(...)"

     return ans




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A) and (
         number > 1
     ), "'number' must been an int and >= 1"

     _a      =  get_divisors(__A)

     # precondition
     assert (
         isinstance(__A  ,	__A)
         and (divisors[0] == 1)
         and (divisors[len(__A) - 1] == number)
     ), "Error in help-function getDivisiors(...)"

     # summed all divisors up to 'number' (exclusive), hence [:-1]
     return sum(divisors[:-1]) == number




def lowerCAmelCase  (__A  ,	__A):



     """simple docstring"""



     assert (
         isinstance(__A  ,	__A)
         and isinstance(__A  ,	__A)
         and (denominator != 0)
     ), "The arguments must been from type int and 'denominator' != 0"

     # build the greatest common divisor of numerator and denominator.
     _a      =  gcd(abs(__A)  ,	abs(__A))

     # precondition
     assert (
         isinstance(__A  ,	__A)
         and (numerator % gcd_of_fraction == 0)
         and (denominator % gcd_of_fraction == 0)
     ), "Error in function gcd(...,...)"

     return (numerator // gcd_of_fraction, denominator // gcd_of_fraction)




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A) and (n >= 0), "'n' must been a int and >= 0"

     _a      =  1  # this will be return.

     for factor in range(1  ,	n + 1):
          ans *= factor

     return ans




def lowerCAmelCase  (__A):



     """simple docstring"""



     assert isinstance(__A  ,	__A) and (n >= 0), "'n' must been an int and >= 0"

     _a      =  0
     _a      =  1
     _a      =  1  # this will be return

     for _ in range(n - 1):
          _a      =  ans
          ans += fiba
          _a      =  tmp

     return ans








'''simple docstring'''





import json
from typing import List, Optional, Tuple

from tokenizers import pre_tokenizers, processors

from ...tokenization_utils_base import AddedToken, BatchEncoding
from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import logging
from .tokenization_roberta import RobertaTokenizer


lowercase_		       =  logging.get_logger(__name__)

lowercase_		       =  {"vocab_file": "vocab.json", "merges_file": "merges.txt", "tokenizer_file": "tokenizer.json"}

lowercase_		       =  {
    "vocab_file": {
        "roberta-base": "https://huggingface.co/roberta-base/resolve/main/vocab.json",
        "roberta-large": "https://huggingface.co/roberta-large/resolve/main/vocab.json",
        "roberta-large-mnli": "https://huggingface.co/roberta-large-mnli/resolve/main/vocab.json",
        "distilroberta-base": "https://huggingface.co/distilroberta-base/resolve/main/vocab.json",
        "roberta-base-openai-detector": "https://huggingface.co/roberta-base-openai-detector/resolve/main/vocab.json",
        "roberta-large-openai-detector": (
            "https://huggingface.co/roberta-large-openai-detector/resolve/main/vocab.json"
        ),
    },
    "merges_file": {
        "roberta-base": "https://huggingface.co/roberta-base/resolve/main/merges.txt",
        "roberta-large": "https://huggingface.co/roberta-large/resolve/main/merges.txt",
        "roberta-large-mnli": "https://huggingface.co/roberta-large-mnli/resolve/main/merges.txt",
        "distilroberta-base": "https://huggingface.co/distilroberta-base/resolve/main/merges.txt",
        "roberta-base-openai-detector": "https://huggingface.co/roberta-base-openai-detector/resolve/main/merges.txt",
        "roberta-large-openai-detector": (
            "https://huggingface.co/roberta-large-openai-detector/resolve/main/merges.txt"
        ),
    },
    "tokenizer_file": {
        "roberta-base": "https://huggingface.co/roberta-base/resolve/main/tokenizer.json",
        "roberta-large": "https://huggingface.co/roberta-large/resolve/main/tokenizer.json",
        "roberta-large-mnli": "https://huggingface.co/roberta-large-mnli/resolve/main/tokenizer.json",
        "distilroberta-base": "https://huggingface.co/distilroberta-base/resolve/main/tokenizer.json",
        "roberta-base-openai-detector": (
            "https://huggingface.co/roberta-base-openai-detector/resolve/main/tokenizer.json"
        ),
        "roberta-large-openai-detector": (
            "https://huggingface.co/roberta-large-openai-detector/resolve/main/tokenizer.json"
        ),
    },
}

lowercase_		       =  {
    "roberta-base": 512,
    "roberta-large": 512,
    "roberta-large-mnli": 512,
    "distilroberta-base": 512,
    "roberta-base-openai-detector": 512,
    "roberta-large-openai-detector": 512,
}






class __A			(  A						):



 '''simple docstring'''







 __lowerCamelCase    :       List[Any]          =       VOCAB_FILES_NAMES
 __lowerCamelCase    :       Tuple          =       PRETRAINED_VOCAB_FILES_MAP
 __lowerCamelCase    :       Any          =       PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
 __lowerCamelCase    :       str          =       ['input_ids', 'attention_mask']
 __lowerCamelCase    :       Union[str, Any]          =       RobertaTokenizer



 def __init__(self ,   A=None ,   A=None ,   A=None ,   A="replace" ,   A="<s>" ,   A="</s>" ,   A="</s>" ,   A="<s>" ,   A="<unk>" ,   A="<pad>" ,   A="<mask>" ,   A=False ,   A=True ,   **A ,   )    ->     List[str]:


      """simple docstring"""



      super().__init__(
          A ,   A ,   tokenizer_file=A ,   errors=A ,   bos_token=A ,   eos_token=A ,   sep_token=A ,   cls_token=A ,   unk_token=A ,   pad_token=A ,   mask_token=A ,   add_prefix_space=A ,   trim_offsets=A ,   **A ,   )

      _a      =  json.loads(self.backend_tokenizer.pre_tokenizer.__getstate__()       )
      if pre_tok_state.get('''add_prefix_space''' ,   A       ) != add_prefix_space:
           _a      =  getattr(A ,   pre_tok_state.pop('''type'''       )       )
           _a      =  add_prefix_space
           _a      =  pre_tok_class(**A       )

      _a      =  add_prefix_space

      _a      =  '''post_processor'''
      _a      =  getattr(self.backend_tokenizer ,   A ,   A       )
      if tokenizer_component_instance:
           _a      =  json.loads(tokenizer_component_instance.__getstate__()       )

           # The lists 'sep' and 'cls' must be cased in tuples for the object `post_processor_class`
           if "sep" in state:
                _a      =  tuple(state['''sep''']       )
           if "cls" in state:
                _a      =  tuple(state['''cls''']       )

           _a      =  False

           if state.get('''add_prefix_space''' ,   A       ) != add_prefix_space:
                _a      =  add_prefix_space
                _a      =  True

           if state.get('''trim_offsets''' ,   A       ) != trim_offsets:
                _a      =  trim_offsets
                _a      =  True

           if changes_to_apply:
                _a      =  getattr(A ,   state.pop('''type'''       )       )
                _a      =  component_class(**A       )
                setattr(self.backend_tokenizer ,   A ,   A       )



 @property
 def 					a__  (self       )    ->     str:


      """simple docstring"""



      if self._mask_token is None:
           if self.verbose:
                logger.error('''Using mask_token, but it is not set yet.'''       )
           return None
      return str(self._mask_token       )



 @mask_token.setter
 def 					a__  (self ,   A       )    ->     Optional[Any]:


      """simple docstring"""



      _a      =  AddedToken(A ,   lstrip=A ,   rstrip=A       ) if isinstance(A ,   A       ) else value
      _a      =  value



 def 					a__  (self ,   *A ,   **A       )    ->     BatchEncoding:


      """simple docstring"""



      _a      =  kwargs.get('''is_split_into_words''' ,   A       )
      assert self.add_prefix_space or not is_split_into_words, (
          f'''You need to instantiate {self.__class__.__name__} with add_prefix_space=True '''
          "to use it with pretokenized inputs."
      )

      return super()._batch_encode_plus(*A ,   **A       )



 def 					a__  (self ,   *A ,   **A       )    ->     BatchEncoding:


      """simple docstring"""



      _a      =  kwargs.get('''is_split_into_words''' ,   A       )

      assert self.add_prefix_space or not is_split_into_words, (
          f'''You need to instantiate {self.__class__.__name__} with add_prefix_space=True '''
          "to use it with pretokenized inputs."
      )

      return super()._encode_plus(*A ,   **A       )



 def 					a__  (self ,   A ,   A = None       )    ->     Tuple[str]:


      """simple docstring"""



      _a      =  self._tokenizer.model.save(A ,   name=A       )
      return tuple(A       )



 def 					a__  (self ,   A ,   A=None       )    ->     List[str]:


      """simple docstring"""



      _a      =  [self.bos_token_id] + token_ids_a + [self.eos_token_id]
      if token_ids_a is None:
           return output

      return output + [self.eos_token_id] + token_ids_a + [self.eos_token_id]



 def 					a__  (self ,   A ,   A = None       )    ->     List[int]:


      """simple docstring"""



      _a      =  [self.sep_token_id]
      _a      =  [self.cls_token_id]

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



