'''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_longformer import LongformerTokenizer


_A		:      Tuple						   =logging.get_logger(__name__)

_A		:      Optional[Any]						   ={'''vocab_file''': '''vocab.json''', '''merges_file''': '''merges.txt''', '''tokenizer_file''': '''tokenizer.json'''}

_A		:      Any						   ={
    '''vocab_file''': {
        '''allenai/longformer-base-4096''': '''https://huggingface.co/allenai/longformer-base-4096/resolve/main/vocab.json''',
        '''allenai/longformer-large-4096''': (
            '''https://huggingface.co/allenai/longformer-large-4096/resolve/main/vocab.json'''
        ),
        '''allenai/longformer-large-4096-finetuned-triviaqa''': (
            '''https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/vocab.json'''
        ),
        '''allenai/longformer-base-4096-extra.pos.embd.only''': (
            '''https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/vocab.json'''
        ),
        '''allenai/longformer-large-4096-extra.pos.embd.only''': (
            '''https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/vocab.json'''
        ),
    },
    '''merges_file''': {
        '''allenai/longformer-base-4096''': '''https://huggingface.co/allenai/longformer-base-4096/resolve/main/merges.txt''',
        '''allenai/longformer-large-4096''': (
            '''https://huggingface.co/allenai/longformer-large-4096/resolve/main/merges.txt'''
        ),
        '''allenai/longformer-large-4096-finetuned-triviaqa''': (
            '''https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/merges.txt'''
        ),
        '''allenai/longformer-base-4096-extra.pos.embd.only''': (
            '''https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/merges.txt'''
        ),
        '''allenai/longformer-large-4096-extra.pos.embd.only''': (
            '''https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/merges.txt'''
        ),
    },
    '''tokenizer_file''': {
        '''allenai/longformer-base-4096''': (
            '''https://huggingface.co/allenai/longformer-base-4096/resolve/main/tokenizer.json'''
        ),
        '''allenai/longformer-large-4096''': (
            '''https://huggingface.co/allenai/longformer-large-4096/resolve/main/tokenizer.json'''
        ),
        '''allenai/longformer-large-4096-finetuned-triviaqa''': (
            '''https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/tokenizer.json'''
        ),
        '''allenai/longformer-base-4096-extra.pos.embd.only''': (
            '''https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/tokenizer.json'''
        ),
        '''allenai/longformer-large-4096-extra.pos.embd.only''': (
            '''https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/tokenizer.json'''
        ),
    },
}

_A		:      str						   ={
    '''allenai/longformer-base-4096''': 4_0_9_6,
    '''allenai/longformer-large-4096''': 4_0_9_6,
    '''allenai/longformer-large-4096-finetuned-triviaqa''': 4_0_9_6,
    '''allenai/longformer-base-4096-extra.pos.embd.only''': 4_0_9_6,
    '''allenai/longformer-large-4096-extra.pos.embd.only''': 4_0_9_6,
}




class _lowerCAmelCase			(	snake_case					):
      UpperCAmelCase_	:						Tuple	 =       VOCAB_FILES_NAMES
      UpperCAmelCase_	:						Union[str, Any]	 =       PRETRAINED_VOCAB_FILES_MAP
      UpperCAmelCase_	:						Optional[Any]	 =       PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
      UpperCAmelCase_	:						Optional[int]	 =       ["input_ids", "attention_mask"]
      UpperCAmelCase_	:						Optional[Any]	 =       LongformerTokenizer







      def __init__(  self  ,    lowercase=None  ,    lowercase=None  ,    lowercase=None  ,    lowercase="replace"  ,    lowercase="<s>"  ,    lowercase="</s>"  ,    lowercase="</s>"  ,    lowercase="<s>"  ,    lowercase="<unk>"  ,    lowercase="<pad>"  ,    lowercase="<mask>"  ,    lowercase=False  ,    lowercase=True  ,    **lowercase  ,    ):
        super().__init__(
            lowercase  ,    lowercase  ,    tokenizer_file=lowercase  ,    errors=lowercase  ,    bos_token=lowercase  ,    eos_token=lowercase  ,    sep_token=lowercase  ,    cls_token=lowercase  ,    unk_token=lowercase  ,    pad_token=lowercase  ,    mask_token=lowercase  ,    add_prefix_space=lowercase  ,    trim_offsets=lowercase  ,    **lowercase  ,    )

        lowercase				:							Tuple									=   json.loads(self.backend_tokenizer.pre_tokenizer.__getstate__()     )
        if pre_tok_state.get('''add_prefix_space'''  ,    lowercase     ) != add_prefix_space:
          lowercase				:							Tuple									=   getattr(lowercase  ,    pre_tok_state.pop('''type'''     )     )
          lowercase				:							int									=   add_prefix_space
          lowercase				:							Dict									=   pre_tok_class(**lowercase     )

        lowercase				:							int									=   add_prefix_space

        lowercase				:							Union[str, Any]									=   '''post_processor'''
        lowercase				:							Union[str, Any]									=   getattr(self.backend_tokenizer  ,    lowercase  ,    lowercase     )
        if tokenizer_component_instance:
          lowercase				:							Tuple									=   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:
            lowercase				:							Union[str, Any]									=   tuple(state['''sep''']     )
          if "cls" in state:
            lowercase				:							List[str]									=   tuple(state['''cls''']     )

          lowercase				:							Optional[int]									=   False

          if state.get('''add_prefix_space'''  ,    lowercase     ) != add_prefix_space:
            lowercase				:							Optional[Any]									=   add_prefix_space
            lowercase				:							Optional[Any]									=   True

          if state.get('''trim_offsets'''  ,    lowercase     ) != trim_offsets:
            lowercase				:							Tuple									=   trim_offsets
            lowercase				:							List[Any]									=   True

          if changes_to_apply:
            lowercase				:							List[str]									=   getattr(lowercase  ,    state.pop('''type'''     )     )
            lowercase				:							List[Any]									=   component_class(**lowercase     )
            setattr(self.backend_tokenizer  ,    lowercase  ,    lowercase     )







      @property
      def      lowerCamelCase__      (  self     ):
        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      lowerCamelCase__      (  self  ,    lowercase     ):
        lowercase				:							Union[str, Any]									=   AddedToken(lowercase  ,    lstrip=lowercase  ,    rstrip=lowercase     ) if isinstance(lowercase  ,    lowercase     ) else value
        lowercase				:							Optional[int]									=   value







      def      lowerCamelCase__      (  self  ,    *lowercase  ,    **lowercase     ):
        lowercase				:							List[str]									=   kwargs.get('''is_split_into_words'''  ,    lowercase     )
        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(*lowercase  ,    **lowercase     )







      def      lowerCamelCase__      (  self  ,    *lowercase  ,    **lowercase     ):
        lowercase				:							int									=   kwargs.get('''is_split_into_words'''  ,    lowercase     )

        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(*lowercase  ,    **lowercase     )







      def      lowerCamelCase__      (  self  ,    lowercase  ,    lowercase = None     ):
        lowercase				:							Any									=   self._tokenizer.model.save(lowercase  ,    name=lowercase     )
        return tuple(lowercase     )







      def      lowerCamelCase__      (  self  ,    lowercase  ,    lowercase=None     ):
        lowercase				:							Any									=   [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      lowerCamelCase__      (  self  ,    lowercase  ,    lowercase = None     ):
        lowercase				:							List[Any]									=   [self.sep_token_id]
        lowercase				:							Optional[int]									=   [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]
'''simple docstring'''
import math







def 				__UpperCamelCase (					__UpperCAmelCase  :					str			)							->	Optional[int]:
  lowercase				:							Tuple									=   0
  if n % 2 == 0:
    count += 1
    while n % 2 == 0:
      lowercase				:							Optional[int]									=   int(n / 2			)
    # the n input value must be odd so that
    # we can skip one element (ie i += 2)

  lowercase				:							Dict									=   3

  while i <= int(math.sqrt(__UpperCAmelCase			)			):
    if n % i == 0:
      count += 1
      while n % i == 0:
        lowercase				:							Dict									=   int(n / i			)
    lowercase				:							List[Any]									=   i + 2

  # this condition checks the prime
  # number n is greater than 2

  if n > 2:
    count += 1
  return count


if __name__ == "__main__":
 _A		:      List[Any]						   =5_1_2_4_2_1_8_3
 print(f"""The number of distinct prime factors is/are {exact_prime_factor_count(n)}""")
 print(f"""The value of log(log(n)) is {math.log(math.log(n)):.4f}""")