





import math


def     lowerCamelCase_	(      lowerCAmelCase:	int				)->		list[int]:
  _snake_case   :				str														=	[]
  _snake_case   :				Optional[int]														=	2
  _snake_case   :				int														=	int(math.sqrt(lowerCAmelCase				)				)  # Size of every segment
  _snake_case   :				List[Any]														=	[True] * (end + 1)
  _snake_case   :				Dict														=	[]

  while start <= end:
    if temp[start] is True:
      in_prime.append(lowerCAmelCase				)
      for i in range(start * start    ,							end + 1    ,							lowerCAmelCase				):
        _snake_case   :				int														=	False
    start += 1
  prime += in_prime

  _snake_case   :				Any														=	end + 1
  _snake_case   :				int														=	min(2 * end    ,							lowerCAmelCase				)

  while low <= n:
    _snake_case   :				List[str]														=	[True] * (high - low + 1)
    for each in in_prime:
      _snake_case   :				List[Any]														=	math.floor(low / each				) * each
      if t < low:
        t += each

      for j in range(lowerCAmelCase    ,							high + 1    ,							lowerCAmelCase				):
        _snake_case   :				Tuple														=	False

    for j in range(len(lowerCAmelCase				)				):
      if temp[j] is True:
        prime.append(j + low				)

    _snake_case   :				List[Any]														=	high + 1
    _snake_case   :				Tuple														=	min(high + end    ,							lowerCAmelCase				)

  return prime







print(sieve(10**6))











import json
from typing import List, Optional, Tuple

from tokenizers import normalizers

from ...tokenization_utils_base import BatchEncoding
from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import PaddingStrategy, logging
from .tokenization_realm import RealmTokenizer


lowerCAmelCase_						   =    logging.get_logger(__name__)

lowerCAmelCase_						   =    {"""vocab_file""": """vocab.txt""", """tokenizer_file""": """tokenizer.json"""}

lowerCAmelCase_						   =    {
    """vocab_file""": {
        """google/realm-cc-news-pretrained-embedder""": (
            """https://huggingface.co/google/realm-cc-news-pretrained-embedder/resolve/main/vocab.txt"""
        ),
        """google/realm-cc-news-pretrained-encoder""": (
            """https://huggingface.co/google/realm-cc-news-pretrained-encoder/resolve/main/vocab.txt"""
        ),
        """google/realm-cc-news-pretrained-scorer""": (
            """https://huggingface.co/google/realm-cc-news-pretrained-scorer/resolve/main/vocab.txt"""
        ),
        """google/realm-cc-news-pretrained-openqa""": (
            """https://huggingface.co/google/realm-cc-news-pretrained-openqa/aresolve/main/vocab.txt"""
        ),
        """google/realm-orqa-nq-openqa""": """https://huggingface.co/google/realm-orqa-nq-openqa/resolve/main/vocab.txt""",
        """google/realm-orqa-nq-reader""": """https://huggingface.co/google/realm-orqa-nq-reader/resolve/main/vocab.txt""",
        """google/realm-orqa-wq-openqa""": """https://huggingface.co/google/realm-orqa-wq-openqa/resolve/main/vocab.txt""",
        """google/realm-orqa-wq-reader""": """https://huggingface.co/google/realm-orqa-wq-reader/resolve/main/vocab.txt""",
    },
    """tokenizer_file""": {
        """google/realm-cc-news-pretrained-embedder""": (
            """https://huggingface.co/google/realm-cc-news-pretrained-embedder/resolve/main/tokenizer.jsont"""
        ),
        """google/realm-cc-news-pretrained-encoder""": (
            """https://huggingface.co/google/realm-cc-news-pretrained-encoder/resolve/main/tokenizer.json"""
        ),
        """google/realm-cc-news-pretrained-scorer""": (
            """https://huggingface.co/google/realm-cc-news-pretrained-scorer/resolve/main/tokenizer.json"""
        ),
        """google/realm-cc-news-pretrained-openqa""": (
            """https://huggingface.co/google/realm-cc-news-pretrained-openqa/aresolve/main/tokenizer.json"""
        ),
        """google/realm-orqa-nq-openqa""": (
            """https://huggingface.co/google/realm-orqa-nq-openqa/resolve/main/tokenizer.json"""
        ),
        """google/realm-orqa-nq-reader""": (
            """https://huggingface.co/google/realm-orqa-nq-reader/resolve/main/tokenizer.json"""
        ),
        """google/realm-orqa-wq-openqa""": (
            """https://huggingface.co/google/realm-orqa-wq-openqa/resolve/main/tokenizer.json"""
        ),
        """google/realm-orqa-wq-reader""": (
            """https://huggingface.co/google/realm-orqa-wq-reader/resolve/main/tokenizer.json"""
        ),
    },
}

lowerCAmelCase_						   =    {
    """google/realm-cc-news-pretrained-embedder""": 512,
    """google/realm-cc-news-pretrained-encoder""": 512,
    """google/realm-cc-news-pretrained-scorer""": 512,
    """google/realm-cc-news-pretrained-openqa""": 512,
    """google/realm-orqa-nq-openqa""": 512,
    """google/realm-orqa-nq-reader""": 512,
    """google/realm-orqa-wq-openqa""": 512,
    """google/realm-orqa-wq-reader""": 512,
}

lowerCAmelCase_						   =    {
    """google/realm-cc-news-pretrained-embedder""": {"""do_lower_case""": True},
    """google/realm-cc-news-pretrained-encoder""": {"""do_lower_case""": True},
    """google/realm-cc-news-pretrained-scorer""": {"""do_lower_case""": True},
    """google/realm-cc-news-pretrained-openqa""": {"""do_lower_case""": True},
    """google/realm-orqa-nq-openqa""": {"""do_lower_case""": True},
    """google/realm-orqa-nq-reader""": {"""do_lower_case""": True},
    """google/realm-orqa-wq-openqa""": {"""do_lower_case""": True},
    """google/realm-orqa-wq-reader""": {"""do_lower_case""": True},
}



class        _lowerCAmelCase    (			UpperCAmelCase_							):


  '''simple docstring'''
  a_							:       Union[str, Any]      					=VOCAB_FILES_NAMES
  a_							:       List[str]      					=PRETRAINED_VOCAB_FILES_MAP
  a_							:       str      					=PRETRAINED_INIT_CONFIGURATION
  a_							:       Optional[Any]      					=PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
  a_							:       List[Any]      					=RealmTokenizer







  def __init__(      self      :					List[str]      ,				UpperCamelCase      :					Optional[int]=None      ,				UpperCamelCase      :					List[Any]=None      ,				UpperCamelCase      :					Optional[Any]=True      ,				UpperCamelCase      :					Optional[Any]="[UNK]"      ,				UpperCamelCase      :					Any="[SEP]"      ,				UpperCamelCase      :					Optional[Any]="[PAD]"      ,				UpperCamelCase      :					Optional[int]="[CLS]"      ,				UpperCamelCase      :					Optional[Any]="[MASK]"      ,				UpperCamelCase      :					Dict=True      ,				UpperCamelCase      :					Optional[int]=None      ,				**UpperCamelCase      :					Union[str, Any]      ,				):


    '''simple docstring'''





    super().__init__(
        UpperCamelCase      ,				tokenizer_file=UpperCamelCase      ,				do_lower_case=UpperCamelCase      ,				unk_token=UpperCamelCase      ,				sep_token=UpperCamelCase      ,				pad_token=UpperCamelCase      ,				cls_token=UpperCamelCase      ,				mask_token=UpperCamelCase      ,				tokenize_chinese_chars=UpperCamelCase      ,				strip_accents=UpperCamelCase      ,				**UpperCamelCase      ,				)

    _snake_case   :				int														=	json.loads(self.backend_tokenizer.normalizer.__getstate__()							)
    if (
        normalizer_state.get('lowercase'      ,				UpperCamelCase							) != do_lower_case
        or normalizer_state.get('strip_accents'      ,				UpperCamelCase							) != strip_accents
        or normalizer_state.get('handle_chinese_chars'      ,				UpperCamelCase							) != tokenize_chinese_chars
    ):
      _snake_case   :				int														=	getattr(UpperCamelCase      ,				normalizer_state.pop('type'							)							)
      _snake_case   :				List[str]														=	do_lower_case
      _snake_case   :				List[Any]														=	strip_accents
      _snake_case   :				Dict														=	tokenize_chinese_chars
      _snake_case   :				Any														=	normalizer_class(**UpperCamelCase							)

    _snake_case   :				Optional[int]														=	do_lower_case







  def UpperCamelCase_ (      self      :					Dict      ,				UpperCamelCase      :					Any      ,				**UpperCamelCase      :					Union[str, Any]							):


    '''simple docstring'''





    _snake_case   :				Tuple														=	PaddingStrategy.MAX_LENGTH

    _snake_case   :				Any														=	text
    _snake_case   :				List[str]														=	kwargs.pop('text_pair'      ,				UpperCamelCase							)
    _snake_case   :				int														=	kwargs.pop('return_tensors'      ,				UpperCamelCase							)

    _snake_case   :				Optional[int]														=	{
        'input_ids': [],
        'attention_mask': [],
        'token_type_ids': [],
    }

    for idx, candidate_text in enumerate(UpperCamelCase							):
      if batch_text_pair is not None:
        _snake_case   :				List[Any]														=	batch_text_pair[idx]
      else:
        _snake_case   :				Optional[Any]														=	None

      _snake_case   :				Optional[int]														=	super().__call__(UpperCamelCase      ,				UpperCamelCase      ,				return_tensors=UpperCamelCase      ,				**UpperCamelCase							)

      _snake_case   :				str														=	encoded_candidates.get('input_ids'							)
      _snake_case   :				Tuple														=	encoded_candidates.get('attention_mask'							)
      _snake_case   :				List[str]														=	encoded_candidates.get('token_type_ids'							)

      if encoded_input_ids is not None:
        output_data["input_ids"].append(UpperCamelCase							)
      if encoded_attention_mask is not None:
        output_data["attention_mask"].append(UpperCamelCase							)
      if encoded_token_type_ids is not None:
        output_data["token_type_ids"].append(UpperCamelCase							)

    _snake_case   :				str														=	{key: item for key, item in output_data.items() if len(UpperCamelCase							) != 0}

    return BatchEncoding(UpperCamelCase      ,				tensor_type=UpperCamelCase							)







  def UpperCamelCase_ (      self      :					str      ,				UpperCamelCase      :					Optional[Any]      ,				UpperCamelCase      :					Union[str, Any]=None							):


    '''simple docstring'''





    _snake_case   :				Dict														=	[self.cls_token_id] + token_ids_a + [self.sep_token_id]

    if token_ids_a:
      output += token_ids_a + [self.sep_token_id]

    return output







  def UpperCamelCase_ (      self      :					Union[str, Any]      ,				UpperCamelCase      :					List[int]      ,				UpperCamelCase      :					Optional[List[int]] = None							):


    '''simple docstring'''





    _snake_case   :				int														=	[self.sep_token_id]
    _snake_case   :				Dict														=	[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 UpperCamelCase_ (      self      :					Union[str, Any]      ,				UpperCamelCase      :					str      ,				UpperCamelCase      :					Optional[str] = None							):


    '''simple docstring'''





    _snake_case   :				Optional[Any]														=	self._tokenizer.model.save(UpperCamelCase      ,				name=UpperCamelCase							)
    return tuple(UpperCamelCase							)




