






def    UpperCamelCase						(	_A = 1000000			):






						"""simple docstring"""







						__magic_name__      :       List[Any]       						= set(range(3,   _A,   2			)			)
						primes.add(2			)
						for p in range(3,   _A,   2			):
												if p not in primes:
																		continue
												primes.difference_update(set(range(p * p,   _A,   _A			)			)			)

						__magic_name__      :       List[str]       						= [float(_A			) for n in range(limit + 1			)]

						for p in primes:
												for n in range(_A,   limit + 1,   _A			):
																		phi[n] *= 1 - 1 / p

						return int(sum(phi[2:]			)			)


if __name__ == "__main__":
		print(F"""{solution() = }""")








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_xlnet import XLNetTokenizer
else:
		__magic_name__:					Any							=     None


__magic_name__:					Dict							=     logging.get_logger(__name__)

__magic_name__:					Any							=     {"vocab_file": "spiece.model", "tokenizer_file": "tokenizer.json"}

__magic_name__:					str							=     {
    "vocab_file": {
        "xlnet-base-cased": "https://huggingface.co/xlnet-base-cased/resolve/main/spiece.model",
        "xlnet-large-cased": "https://huggingface.co/xlnet-large-cased/resolve/main/spiece.model",
    },
    "tokenizer_file": {
        "xlnet-base-cased": "https://huggingface.co/xlnet-base-cased/resolve/main/tokenizer.json",
        "xlnet-large-cased": "https://huggingface.co/xlnet-large-cased/resolve/main/tokenizer.json",
    },
}

__magic_name__:					Optional[Any]							=     {
    "xlnet-base-cased": None,
    "xlnet-large-cased": None,
}

__magic_name__:					Optional[Any]							=     "▁"

# Segments (not really needed)
__magic_name__:					List[Any]							=     0
__magic_name__:					Dict							=     1
__magic_name__:					List[str]							=     2
__magic_name__:					List[Any]							=     3
__magic_name__:					Optional[int]							=     4





class 	snake_case__ (							_lowerCAmelCase				):
	lowercase__						:					Dict											=   VOCAB_FILES_NAMES
	lowercase__						:					Union[str, Any]											=   PRETRAINED_VOCAB_FILES_MAP
	lowercase__						:					Tuple											=   PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
	lowercase__						:					List[str]											=   '''left'''
	lowercase__						:					List[str]											=   XLNetTokenizer
	def __init__(    self      ,       lowerCAmelCase__=None      ,       lowerCAmelCase__=None      ,       lowerCAmelCase__=False      ,       lowerCAmelCase__=True      ,       lowerCAmelCase__=False      ,       lowerCAmelCase__="<s>"      ,       lowerCAmelCase__="</s>"      ,       lowerCAmelCase__="<unk>"      ,       lowerCAmelCase__="<sep>"      ,       lowerCAmelCase__="<pad>"      ,       lowerCAmelCase__="<cls>"      ,       lowerCAmelCase__="<mask>"      ,       lowerCAmelCase__=["<eop>", "<eod>"]      ,       **lowerCAmelCase__      ,       )							->				Tuple:
							# Mask token behave like a normal word, i.e. include the space before it
							__magic_name__      :       Optional[int]       						= AddedToken(lowerCAmelCase__      ,       lstrip=lowerCAmelCase__      ,       rstrip=lowerCAmelCase__			) if isinstance(lowerCAmelCase__      ,       lowerCAmelCase__			) else mask_token

							super().__init__(
							    vocab_file=lowerCAmelCase__      ,       tokenizer_file=lowerCAmelCase__      ,       do_lower_case=lowerCAmelCase__      ,       remove_space=lowerCAmelCase__      ,       keep_accents=lowerCAmelCase__      ,       bos_token=lowerCAmelCase__      ,       eos_token=lowerCAmelCase__      ,       unk_token=lowerCAmelCase__      ,       sep_token=lowerCAmelCase__      ,       pad_token=lowerCAmelCase__      ,       cls_token=lowerCAmelCase__      ,       mask_token=lowerCAmelCase__      ,       additional_special_tokens=lowerCAmelCase__      ,       **lowerCAmelCase__      ,       )

							__magic_name__      :       List[str]       						= 3
							__magic_name__      :       str       						= do_lower_case
							__magic_name__      :       Union[str, Any]       						= remove_space
							__magic_name__      :       str       						= keep_accents
							__magic_name__      :       Tuple       						= vocab_file
							__magic_name__      :       List[Any]       						= False if not self.vocab_file else True
	def       __magic_name__    (    self      ,       lowerCAmelCase__      ,       lowerCAmelCase__ = None			)							->				List[int]:
							__magic_name__      :       Any       						= [self.sep_token_id]
							__magic_name__      :       Any       						= [self.cls_token_id]
							if token_ids_a is None:
													return token_ids_a + sep + cls
							return token_ids_a + sep + token_ids_a + sep + cls
	def       __magic_name__    (    self      ,       lowerCAmelCase__      ,       lowerCAmelCase__ = None			)							->				List[int]:
							__magic_name__      :       List[str]       						= [self.sep_token_id]
							__magic_name__      :       Optional[Any]       						= [2]

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







	def       __magic_name__    (    self      ,       lowerCAmelCase__      ,       lowerCAmelCase__ = 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
							__magic_name__      :       List[str]       						= 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,)
