


"""simple docstring"""






# Copyright 2023 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


_lowerCAmelCase							:    List[Any]					   =	{
    '''configuration_xmod''': [
        '''XMOD_PRETRAINED_CONFIG_ARCHIVE_MAP''',
        '''XmodConfig''',
        '''XmodOnnxConfig''',
    ],
}

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  _lowerCAmelCase							:    Tuple					   =	[
      '''XMOD_PRETRAINED_MODEL_ARCHIVE_LIST''',
      '''XmodForCausalLM''',
      '''XmodForMaskedLM''',
      '''XmodForMultipleChoice''',
      '''XmodForQuestionAnswering''',
      '''XmodForSequenceClassification''',
      '''XmodForTokenClassification''',
      '''XmodModel''',
      '''XmodPreTrainedModel''',
  ]

if TYPE_CHECKING:
  from .configuration_xmod import XMOD_PRETRAINED_CONFIG_ARCHIVE_MAP, XmodConfig, XmodOnnxConfig

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_xmod import (
        XMOD_PRETRAINED_MODEL_ARCHIVE_LIST,
        XmodForCausalLM,
        XmodForMaskedLM,
        XmodForMultipleChoice,
        XmodForQuestionAnswering,
        XmodForSequenceClassification,
        XmodForTokenClassification,
        XmodModel,
        XmodPreTrainedModel,
    )

else:
  import sys

  _lowerCAmelCase							:    Union[str, Any]					   =	_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)







'''simple docstring'''



from math import isqrt


def 				lowercase_					(     __A			:							int      )							->   list[int]:



 """simple docstring"""




 lowercase       : Dict						=[True] * max_number
 for i in range(2       ,   isqrt(max_number - 1      ) + 1      ):
  if is_prime[i]:
   for j in range(i**2       ,   __A       ,   __A      ):
    lowercase       : str						=False

 return [i for i in range(2       ,   __A      ) if is_prime[i]]


def 				lowercase_					(     __A			:							int = 1_0**8      )							->   int:



 """simple docstring"""




 lowercase       : Dict						=calculate_prime_numbers(max_number // 2      )

 lowercase       : str						=0
 lowercase       : Optional[Any]						=0
 lowercase       : Union[str, Any]						=len(__A      ) - 1
 while left <= right:
  while prime_numbers[left] * prime_numbers[right] >= max_number:
   right -= 1
  semiprimes_count += right - left + 1
  left += 1

 return semiprimes_count


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



