


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__snake_case		=       {
    '''configuration_luke''': ['''LUKE_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''LukeConfig'''],
    '''tokenization_luke''': ['''LukeTokenizer'''],
}

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   __snake_case		=       [
       '''LUKE_PRETRAINED_MODEL_ARCHIVE_LIST''',
       '''LukeForEntityClassification''',
       '''LukeForEntityPairClassification''',
       '''LukeForEntitySpanClassification''',
       '''LukeForMultipleChoice''',
       '''LukeForQuestionAnswering''',
       '''LukeForSequenceClassification''',
       '''LukeForTokenClassification''',
       '''LukeForMaskedLM''',
       '''LukeModel''',
       '''LukePreTrainedModel''',
   ]


if TYPE_CHECKING:
   from .configuration_luke import LUKE_PRETRAINED_CONFIG_ARCHIVE_MAP, LukeConfig
   from .tokenization_luke import LukeTokenizer

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_luke import (
          LUKE_PRETRAINED_MODEL_ARCHIVE_LIST,
          LukeForEntityClassification,
          LukeForEntityPairClassification,
          LukeForEntitySpanClassification,
          LukeForMaskedLM,
          LukeForMultipleChoice,
          LukeForQuestionAnswering,
          LukeForSequenceClassification,
          LukeForTokenClassification,
          LukeModel,
          LukePreTrainedModel,
      )

else:
   import sys

   __snake_case		=       _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)



"""simple docstring"""






def       A_   (   _lowerCAmelCase     :					int = 10**12       ):






     """simple docstring"""

     _a    	=				1
     _a    	=				0

     _a    	=				1
     _a    	=				1

     while numerator <= 2 * min_total - 1:
          prev_numerator += 2 * numerator
          numerator += 2 * prev_numerator

          prev_denominator += 2 * denominator
          denominator += 2 * prev_denominator

     return (denominator + 1) // 2


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