




from math import sqrt


def    A						(__A   :    int       )   ->      Tuple:







     """simple docstring"""


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

     UpperCAmelCase_          =							True

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

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

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

     return status


def    A						(__A   :    Dict       )   ->      Optional[int]:







     """simple docstring"""


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

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

     UpperCAmelCase_          =							[]  # this list will be returns.

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

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

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

     return ans


def    A						(__A   :    Tuple       )   ->      List[Any]:







     """simple docstring"""


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

     UpperCAmelCase_          =							[]

     # 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(UpperCamelCase__       ):
               ans.append(UpperCamelCase__       )

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

     return ans


def    A						(__A   :    List[str]       )   ->      int:







     """simple docstring"""


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

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

     # potential prime number factors.

     UpperCAmelCase_          =							2

     UpperCAmelCase_          =							number

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

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

     else:
          ans.append(UpperCamelCase__       )

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

     return ans


def    A						(__A   :    List[Any]       )   ->      List[str]:







     """simple docstring"""


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

     UpperCAmelCase_          =							0

     # prime factorization of 'number'
     UpperCAmelCase_          =							prime_factorization(UpperCamelCase__       )

     UpperCAmelCase_          =							max(UpperCamelCase__       )

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

     return ans


def    A						(__A   :    Any       )   ->      int:







     """simple docstring"""


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

     UpperCAmelCase_          =							0

     # prime factorization of 'number'
     UpperCAmelCase_          =							prime_factorization(UpperCamelCase__       )

     UpperCAmelCase_          =							min(UpperCamelCase__       )

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

     return ans


def    A						(__A   :    Union[str, Any]       )   ->      Union[str, Any]:







     """simple docstring"""


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

     return number % 2 == 0


def    A						(__A   :    List[Any]       )   ->      List[str]:







     """simple docstring"""


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

     return number % 2 != 0


def    A						(__A   :    Any       )   ->      Optional[Any]:







     """simple docstring"""


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

     UpperCAmelCase_          =							[]  # this list will returned

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

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

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

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

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

               j += 1

          i += 1

     # precondition
     assert (
         isinstance(UpperCamelCase__   ,				UpperCamelCase__       )
         and (len(UpperCamelCase__       ) == 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    A						(__A   :    Optional[Any]   ,				__A   :    Tuple       )   ->      List[str]:







     """simple docstring"""


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

     UpperCAmelCase_          =							0

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

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

     return numbera


def    A						(__A   :    Optional[int]   ,				__A   :    Dict       )   ->      Tuple:







     """simple docstring"""


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

     UpperCAmelCase_          =							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'
          UpperCAmelCase_          =							prime_factorization(UpperCamelCase__       )
          UpperCAmelCase_          =							prime_factorization(UpperCamelCase__       )

     elif numbera == 1 or numbera == 1:
          UpperCAmelCase_          =							[]
          UpperCAmelCase_          =							[]
          UpperCAmelCase_          =							max(UpperCamelCase__   ,				UpperCamelCase__       )

     UpperCAmelCase_          =							0
     UpperCAmelCase_          =							0

     UpperCAmelCase_          =							[]  # 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:
                    UpperCAmelCase_          =							prime_fac_a.count(UpperCamelCase__       )
                    UpperCAmelCase_          =							prime_fac_a.count(UpperCamelCase__       )

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

               else:
                    UpperCAmelCase_          =							prime_fac_a.count(UpperCamelCase__       )

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

               done.append(UpperCamelCase__       )

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

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

               done.append(UpperCamelCase__       )

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

     return ans


def    A						(__A   :    Optional[Any]       )   ->      List[str]:







     """simple docstring"""


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

     UpperCAmelCase_          =							0
     UpperCAmelCase_          =							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(UpperCamelCase__       ):
               ans += 1

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

     return ans


def    A						(__A   :    Any   ,				__A   :    str       )   ->      int:







     """simple docstring"""


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

     UpperCAmelCase_          =							p_number_a + 1  # jump to the next number

     UpperCAmelCase_          =							[]  # this list will be returns.

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

     while number < p_number_a:
          ans.append(UpperCamelCase__       )

          number += 1

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

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

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


def    A						(__A   :    Optional[int]       )   ->      Tuple:







     """simple docstring"""


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

     UpperCAmelCase_          =							[]  # will be returned.

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

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

     return ans


def    A						(__A   :    Union[str, Any]       )   ->      str:







     """simple docstring"""


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

     UpperCAmelCase_          =							get_divisors(UpperCamelCase__       )

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

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


def    A						(__A   :    Any   ,				__A   :    Dict       )   ->      List[str]:







     """simple docstring"""


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

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

     # precondition
     assert (
         isinstance(UpperCamelCase__   ,				UpperCamelCase__       )
         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    A						(__A   :    List[str]       )   ->      List[Any]:







     """simple docstring"""


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

     UpperCAmelCase_          =							1  # this will be return.

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

     return ans


def    A						(__A   :    str       )   ->      Optional[Any]:







     """simple docstring"""


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

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

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

     return ans











"""simple docstring"""
import os
from shutil import copyfile
from typing import Any, Dict, List, Optional, Tuple

import sentencepiece as spm

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


_lowerCAmelCase    :Optional[int]     =					logging.get_logger(__name__)

_lowerCAmelCase    :List[str]     =					'▁'

_lowerCAmelCase    :Tuple     =					{'vocab_file': 'sentencepiece.bpe.model'}

_lowerCAmelCase    :List[Any]     =					{
    'vocab_file': {
        'xlm-roberta-base': 'https://huggingface.co/xlm-roberta-base/resolve/main/sentencepiece.bpe.model',
        'xlm-roberta-large': 'https://huggingface.co/xlm-roberta-large/resolve/main/sentencepiece.bpe.model',
        'xlm-roberta-large-finetuned-conll02-dutch': (
            'https://huggingface.co/xlm-roberta-large-finetuned-conll02-dutch/resolve/main/sentencepiece.bpe.model'
        ),
        'xlm-roberta-large-finetuned-conll02-spanish': (
            'https://huggingface.co/xlm-roberta-large-finetuned-conll02-spanish/resolve/main/sentencepiece.bpe.model'
        ),
        'xlm-roberta-large-finetuned-conll03-english': (
            'https://huggingface.co/xlm-roberta-large-finetuned-conll03-english/resolve/main/sentencepiece.bpe.model'
        ),
        'xlm-roberta-large-finetuned-conll03-german': (
            'https://huggingface.co/xlm-roberta-large-finetuned-conll03-german/resolve/main/sentencepiece.bpe.model'
        ),
    }
}

_lowerCAmelCase    :Tuple     =					{
    'xlm-roberta-base': 512,
    'xlm-roberta-large': 512,
    'xlm-roberta-large-finetuned-conll02-dutch': 512,
    'xlm-roberta-large-finetuned-conll02-spanish': 512,
    'xlm-roberta-large-finetuned-conll03-english': 512,
    'xlm-roberta-large-finetuned-conll03-german': 512,
}
class 							_UpperCAmelCase							( a      ):





     '''simple docstring'''



     a__									=VOCAB_FILES_NAMES
     a__									=PRETRAINED_VOCAB_FILES_MAP
     a__									=PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
     a__									=['''input_ids''', '''attention_mask''']





     def __init__(					self       ,	A       ,	A="<s>"       ,	A="</s>"       ,	A="</s>"       ,	A="<s>"       ,	A="<unk>"       ,	A="<pad>"       ,	A="<mask>"       ,	A = None       ,	**A       ,	)							->					None:
         # Mask token behave like a normal word, i.e. include the space before it
         _UpperCAmelCase							:  Tuple											=    AddedToken(A       ,	lstrip=A       ,	rstrip=A		) if isinstance(A       ,	A		) else mask_token

         _UpperCAmelCase							:  List[Any]											=    {} if sp_model_kwargs is None else sp_model_kwargs

         super().__init__(
             bos_token=A       ,	eos_token=A       ,	unk_token=A       ,	sep_token=A       ,	cls_token=A       ,	pad_token=A       ,	mask_token=A       ,	sp_model_kwargs=self.sp_model_kwargs       ,	**A       ,	)

         _UpperCAmelCase							:  Any											=    spm.SentencePieceProcessor(**self.sp_model_kwargs		)
         self.sp_model.Load(str(A		)		)
         _UpperCAmelCase							:  List[Any]											=    vocab_file

         # Original fairseq vocab and spm vocab must be "aligned":
         # Vocab    |    0    |    1    |   2    |    3    |  4  |  5  |  6  |   7   |   8   |  9
         # -------- | ------- | ------- | ------ | ------- | --- | --- | --- | ----- | ----- | ----
         # fairseq  | '<s>'   | '<pad>' | '</s>' | '<unk>' | ',' | '.' | '▁' | 's'   | '▁de' | '-'
         # spm      | '<unk>' | '<s>'   | '</s>' | ','     | '.' | '▁' | 's' | '▁de' | '-'   | '▁a'

         # Mimic fairseq token-to-id alignment for the first 4 token
         _UpperCAmelCase							:  List[str]											=    {'''<s>''': 0, '''<pad>''': 1, '''</s>''': 2, '''<unk>''': 3}

         # The first "real" token "," has position 4 in the original fairseq vocab and position 3 in the spm vocab
         _UpperCAmelCase							:  Any											=    1

         _UpperCAmelCase							:  Optional[Any]											=    len(self.sp_model		) + self.fairseq_offset
         _UpperCAmelCase							:  int											=    {v: k for k, v in self.fairseq_tokens_to_ids.items()}





     def __getstate__(					self		)							->					Union[str, Any]:
         _UpperCAmelCase							:  Tuple											=    self.__dict__.copy()
         _UpperCAmelCase							:  List[str]											=    None
         _UpperCAmelCase							:  str											=    self.sp_model.serialized_model_proto()
         return state





     def __setstate__(					self       ,	A		)							->					Optional[int]:
         _UpperCAmelCase							:  Optional[int]											=    d

         # for backward compatibility
         if not hasattr(self       ,	'''sp_model_kwargs'''		):
             _UpperCAmelCase							:  Optional[Any]											=    {}

         _UpperCAmelCase							:  Optional[int]											=    spm.SentencePieceProcessor(**self.sp_model_kwargs		)
         self.sp_model.LoadFromSerializedProto(self.sp_model_proto		)





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

         if token_ids_a is None:
             return [self.cls_token_id] + token_ids_a + [self.sep_token_id]
         _UpperCAmelCase							:  Any											=    [self.cls_token_id]
         _UpperCAmelCase							:  Any											=    [self.sep_token_id]
         return cls + token_ids_a + sep + sep + token_ids_a + sep





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

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

         if token_ids_a is None:
             return [1] + ([0] * len(A		)) + [1]
         return [1] + ([0] * len(A		)) + [1, 1] + ([0] * len(A		)) + [1]





     def  __lowerCAmelCase	(					self       ,	A       ,	A = None		)							->					List[int]:
         _UpperCAmelCase							:  Dict											=    [self.sep_token_id]
         _UpperCAmelCase							:  List[str]											=    [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]





     @property
     def  __lowerCAmelCase	(					self		)							->					Dict:
         return len(self.sp_model		) + self.fairseq_offset + 1  # Add the <mask> token





     def  __lowerCAmelCase	(					self		)							->					Tuple:
         _UpperCAmelCase							:  Dict											=    {self.convert_ids_to_tokens(A		): i for i in range(self.vocab_size		)}
         vocab.update(self.added_tokens_encoder		)
         return vocab





     def  __lowerCAmelCase	(					self       ,	A		)							->					List[str]:
         return self.sp_model.encode(A       ,	out_type=A		)





     def  __lowerCAmelCase	(					self       ,	A		)							->					Any:
         if token in self.fairseq_tokens_to_ids:
             return self.fairseq_tokens_to_ids[token]
         _UpperCAmelCase							:  Any											=    self.sp_model.PieceToId(A		)

         # Need to return unknown token if the SP model returned 0
         return spm_id + self.fairseq_offset if spm_id else self.unk_token_id





     def  __lowerCAmelCase	(					self       ,	A		)							->					int:
         if index in self.fairseq_ids_to_tokens:
             return self.fairseq_ids_to_tokens[index]
         return self.sp_model.IdToPiece(index - self.fairseq_offset		)





     def  __lowerCAmelCase	(					self       ,	A		)							->					int:
         _UpperCAmelCase							:  str											=    ''''''.join(A		).replace(A       ,	''' '''		).strip()
         return out_string





     def  __lowerCAmelCase	(					self       ,	A       ,	A = None		)							->					Tuple[str]:
         if not os.path.isdir(A		):
             logger.error(f'Vocabulary path ({save_directory}) should be a directory'		)
             return
         _UpperCAmelCase							:  List[Any]											=    os.path.join(
             A       ,	(filename_prefix + '''-''' if filename_prefix else '''''') + VOCAB_FILES_NAMES['''vocab_file''']		)

         if os.path.abspath(self.vocab_file		) != os.path.abspath(A		) and os.path.isfile(self.vocab_file		):
             copyfile(self.vocab_file       ,	A		)
         elif not os.path.isfile(self.vocab_file		):
             with open(A       ,	'''wb'''		) as fi:
                 _UpperCAmelCase							:  str											=    self.sp_model.serialized_model_proto()
                 fi.write(A		)

         return (out_vocab_file,)


