import os
from shutil import copyfile
from typing import List, Optional, Tuple

from ...tokenization_utils import AddedToken
from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import is_sentencepiece_available, logging


if is_sentencepiece_available():
				from .tokenization_big_bird import BigBirdTokenizer
else:
				_lowercase							:      Any      							=None

_lowercase							:      int      							=logging.get_logger(__name__)
_lowercase							:      Dict      							={'vocab_file': 'spiece.model', 'tokenizer_file': 'tokenizer.json'}

_lowercase							:      Union[str, Any]      							={
    'vocab_file': {
        'google/bigbird-roberta-base': 'https://huggingface.co/google/bigbird-roberta-base/resolve/main/spiece.model',
        'google/bigbird-roberta-large': (
            'https://huggingface.co/google/bigbird-roberta-large/resolve/main/spiece.model'
        ),
        'google/bigbird-base-trivia-itc': (
            'https://huggingface.co/google/bigbird-base-trivia-itc/resolve/main/spiece.model'
        ),
    },
    'tokenizer_file': {
        'google/bigbird-roberta-base': (
            'https://huggingface.co/google/bigbird-roberta-base/resolve/main/tokenizer.json'
        ),
        'google/bigbird-roberta-large': (
            'https://huggingface.co/google/bigbird-roberta-large/resolve/main/tokenizer.json'
        ),
        'google/bigbird-base-trivia-itc': (
            'https://huggingface.co/google/bigbird-base-trivia-itc/resolve/main/tokenizer.json'
        ),
    },
}

_lowercase							:      Any      							={
    'google/bigbird-roberta-base': 4_0_9_6,
    'google/bigbird-roberta-large': 4_0_9_6,
    'google/bigbird-base-trivia-itc': 4_0_9_6,
}


_lowercase							:      Union[str, Any]      							='▁'



class  SCREAMING_SNAKE_CASE_ (					lowerCamelCase__			):
		'''simple docstring'''


		lowercase		:     Tuple            =				VOCAB_FILES_NAMES
		lowercase		:     Optional[int]            =				PRETRAINED_VOCAB_FILES_MAP
		lowercase		:     Dict            =				PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
		lowercase		:     List[str]            =				BigBirdTokenizer
		lowercase		:     Tuple            =				["input_ids", "attention_mask"]
		lowercase		:     str            =				[]







		def __init__(				self    :					List[Any]      ,	SCREAMING_SNAKE_CASE__    :					Dict=None      ,	SCREAMING_SNAKE_CASE__    :					Any=None      ,	SCREAMING_SNAKE_CASE__    :					List[Any]="<unk>"      ,	SCREAMING_SNAKE_CASE__    :					List[Any]="<s>"      ,	SCREAMING_SNAKE_CASE__    :					Tuple="</s>"      ,	SCREAMING_SNAKE_CASE__    :					Union[str, Any]="<pad>"      ,	SCREAMING_SNAKE_CASE__    :					str="[SEP]"      ,	SCREAMING_SNAKE_CASE__    :					Any="[MASK]"      ,	SCREAMING_SNAKE_CASE__    :					Dict="[CLS]"      ,	**SCREAMING_SNAKE_CASE__    :					str      ,	)    ->				str:
									A						:     List[Any]         =AddedToken(__lowerCamelCase      ,	lstrip=__lowerCamelCase      ,	rstrip=__lowerCamelCase     ) if isinstance(__lowerCamelCase      ,	__lowerCamelCase     ) else bos_token
									A						:     Any         =AddedToken(__lowerCamelCase      ,	lstrip=__lowerCamelCase      ,	rstrip=__lowerCamelCase     ) if isinstance(__lowerCamelCase      ,	__lowerCamelCase     ) else eos_token
									A						:     Optional[int]         =AddedToken(__lowerCamelCase      ,	lstrip=__lowerCamelCase      ,	rstrip=__lowerCamelCase     ) if isinstance(__lowerCamelCase      ,	__lowerCamelCase     ) else unk_token
									A						:     Union[str, Any]         =AddedToken(__lowerCamelCase      ,	lstrip=__lowerCamelCase      ,	rstrip=__lowerCamelCase     ) if isinstance(__lowerCamelCase      ,	__lowerCamelCase     ) else pad_token
									A						:     Optional[int]         =AddedToken(__lowerCamelCase      ,	lstrip=__lowerCamelCase      ,	rstrip=__lowerCamelCase     ) if isinstance(__lowerCamelCase      ,	__lowerCamelCase     ) else cls_token
									A						:     str         =AddedToken(__lowerCamelCase      ,	lstrip=__lowerCamelCase      ,	rstrip=__lowerCamelCase     ) if isinstance(__lowerCamelCase      ,	__lowerCamelCase     ) else sep_token

									# Mask token behave like a normal word, i.e. include the space before it
									A						:     Optional[Any]         =AddedToken(__lowerCamelCase      ,	lstrip=__lowerCamelCase      ,	rstrip=__lowerCamelCase     ) if isinstance(__lowerCamelCase      ,	__lowerCamelCase     ) else mask_token

									super().__init__(
									    __lowerCamelCase      ,	tokenizer_file=__lowerCamelCase      ,	bos_token=__lowerCamelCase      ,	eos_token=__lowerCamelCase      ,	unk_token=__lowerCamelCase      ,	sep_token=__lowerCamelCase      ,	pad_token=__lowerCamelCase      ,	cls_token=__lowerCamelCase      ,	mask_token=__lowerCamelCase      ,	**__lowerCamelCase      ,	)

									A						:     List[Any]         =vocab_file
									A						:     List[Any]         =False if not self.vocab_file else True







		def 		SCREAMING_SNAKE_CASE_		(				self    :					Tuple      ,	SCREAMING_SNAKE_CASE__    :					Dict      ,	SCREAMING_SNAKE_CASE__    :					int = None     )    ->				List[int]:
									A						:     Any         =[self.sep_token_id]
									A						:     Optional[int]         =[self.cls_token_id]
									if token_ids_a is None:
																return cls + token_ids_a + sep
									return cls + token_ids_a + sep + token_ids_a + sep







		def 		SCREAMING_SNAKE_CASE_		(				self    :					Optional[Any]      ,	SCREAMING_SNAKE_CASE__    :					Union[str, Any]      ,	SCREAMING_SNAKE_CASE__    :					Any = None      ,	SCREAMING_SNAKE_CASE__    :					int = False     )    ->				List[int]:






									if already_has_special_tokens:
																if token_ids_a is not None:
																							raise ValueError(
																							    'You should not supply a second sequence if the provided sequence of '
																							    'ids is already formatted with special tokens for the model.'     )
																return [1 if x in [self.sep_token_id, self.cls_token_id] else 0 for x in token_ids_a]

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







		def 		SCREAMING_SNAKE_CASE_		(				self    :					Dict      ,	SCREAMING_SNAKE_CASE__    :					List[str]      ,	SCREAMING_SNAKE_CASE__    :					Any = None     )    ->				List[int]:
									A						:     List[str]         =[self.sep_token_id]
									A						:     Optional[Any]         =[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     ) * [0] + len(token_ids_a + sep     ) * [1]







		def 		SCREAMING_SNAKE_CASE_		(				self    :					Tuple      ,	SCREAMING_SNAKE_CASE__    :					int      ,	SCREAMING_SNAKE_CASE__    :					str = None     )    ->				Tuple[str]:






									if not self.can_save_slow_tokenizer:
																raise ValueError(
																    'Your fast tokenizer does not have the necessary information to save the vocabulary for a slow '
																    'tokenizer.'     )

									if not os.path.isdir(__lowerCamelCase     ):
																logger.error(f'Vocabulary path ({save_directory}) should be a directory'     )
																return
									A						:     Dict         =os.path.join(
									    __lowerCamelCase      ,	(filename_prefix + '-' if filename_prefix else '') + VOCAB_FILES_NAMES['vocab_file']     )

									if os.path.abspath(self.vocab_file     ) != os.path.abspath(__lowerCamelCase     ):
																copyfile(self.vocab_file      ,	__lowerCamelCase     )

									return (out_vocab_file,)







import math



def A__  (			lowercase:     int					)				->		list:
       A						:     Optional[Any]         =[True] * n
       A						:     Tuple         =False
       A						:     List[Any]         =False
       A						:     Dict         =True

       for i in range(3,		int(n**0.5 + 1					),		2					):
              A						:     Dict         =i * 2
              while index < n:
                     A						:     Dict         =False
                     A						:     Dict         =index + i

       A						:     Tuple         =[2]

       for i in range(3,		lowercase,		2					):
              if is_prime[i]:
                     primes.append(lowercase					)

       return primes



def A__  (			lowercase:     int = 999_966_663_333					)				->		int:
       A						:     Optional[int]         =math.floor(math.sqrt(lowercase					)					) + 100
       A						:     Optional[int]         =prime_sieve(lowercase					)

       A						:     Optional[Any]         =0
       A						:     List[Any]         =0
       A						:     Union[str, Any]         =primes[prime_index]

       while (last_prime**2) <= limit:
              A						:     Tuple         =primes[prime_index + 1]

              A						:     Optional[int]         =last_prime**2
              A						:     Tuple         =next_prime**2

              # Get numbers divisible by lps(current)
              A						:     int         =lower_bound + last_prime
              while upper_bound > current <= limit:
                     matches_sum += current
                     current += last_prime

              # Reset the upper_bound
              while (upper_bound - next_prime) > limit:
                     upper_bound -= next_prime

              # Add the numbers divisible by ups(current)
              A						:     List[Any]         =upper_bound - next_prime
              while current > lower_bound:
                     matches_sum += current
                     current -= next_prime

              # Remove the numbers divisible by both ups and lps
              A						:     Any         =0
              while upper_bound > current <= limit:
                     if current <= lower_bound:
                            # Increment the current number
                            current += last_prime * next_prime
                            continue

                     if current > limit:
                            break

                     # Remove twice since it was added by both ups and lps
                     matches_sum -= current * 2

                     # Increment the current number
                     current += last_prime * next_prime

              # Setup for next pair
              A						:     List[str]         =next_prime
              prime_index += 1

       return matches_sum


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






