



'''simple docstring'''






import math
def 				lowerCamelCase__	(						_A    ):

  if not isinstance(_A			,      _A    ):
    a						: Union[str, Any]					       =					f"""Input value of [number={number}] must be an integer"""
    raise TypeError(_A    )

  if number < 1:
    a						: Dict					       =					f"""Input value of [number={number}] must be > 0"""
    raise ValueError(_A    )
  elif number == 1:
    return 3
  elif number == 2:
    return 5
  else:
    a						: Tuple					       =					int(math.log(number // 3			,      2    )    ) + 2

    a						: Union[str, Any]					       =					[3, 5]
    a						: Union[str, Any]					       =					2
    a						: int					       =					3
    for block in range(1			,      _A    ):
      for _ in range(_A    ):
        proth_list.append(2 ** (block + 1) + proth_list[proth_index - 1]    )
        proth_index += 1
      increment *= 2

  return proth_list[number - 1]


if __name__ == "__main__":
     import doctest

     doctest.testmod()

     for number in range(1_1):
          lowerCAmelCase: str							=						0
          try:
               lowerCAmelCase: Union[str, Any]							=						proth(number)
          except ValueError:
               print(F"ValueError: there is no {number}th Proth number")
               continue

          print(F"The {number}th Proth number: {value}")




'''simple docstring'''






from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


lowerCAmelCase: Any							=						{
    'configuration_poolformer': [
        'POOLFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'PoolFormerConfig',
        'PoolFormerOnnxConfig',
    ]
}

try:
     if not is_vision_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     lowerCAmelCase: List[str]							=						['PoolFormerFeatureExtractor']
     lowerCAmelCase: Tuple							=						['PoolFormerImageProcessor']

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     lowerCAmelCase: str							=						[
         'POOLFORMER_PRETRAINED_MODEL_ARCHIVE_LIST',
         'PoolFormerForImageClassification',
         'PoolFormerModel',
         'PoolFormerPreTrainedModel',
     ]


if TYPE_CHECKING:
     from .configuration_poolformer import (
         POOLFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP,
         PoolFormerConfig,
         PoolFormerOnnxConfig,
     )

     try:
          if not is_vision_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .feature_extraction_poolformer import PoolFormerFeatureExtractor
          from .image_processing_poolformer import PoolFormerImageProcessor

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_poolformer import (
              POOLFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
              PoolFormerForImageClassification,
              PoolFormerModel,
              PoolFormerPreTrainedModel,
          )


else:
     import sys

     lowerCAmelCase: Dict							=						_LazyModule(__name__, globals()['__file__'], _import_structure)