

"""simple docstring"""


import math
import sys




def        _lowercase    (			__lowerCAmelCase							)				-> Optional[Any]:





      if number != int(SCREAMING_SNAKE_CASE__							):
            raise ValueError("""the value of input must be a natural number"""							)
      if number < 0:
            raise ValueError("""the value of input must not be a negative number"""							)
      if number == 0:
            return 1
      SCREAMING_SNAKE_CASE__      :					int											=		[-1] * (number + 1)
      SCREAMING_SNAKE_CASE__      :					int											=		0
      for i in range(1     ,    number + 1							):
            SCREAMING_SNAKE_CASE__      :					Union[str, Any]											=		sys.maxsize
            SCREAMING_SNAKE_CASE__      :					Union[str, Any]											=		int(math.sqrt(SCREAMING_SNAKE_CASE__							)							)
            for j in range(1     ,    root + 1							):
                  SCREAMING_SNAKE_CASE__      :					List[Any]											=		1 + answers[i - (j**2)]
                  SCREAMING_SNAKE_CASE__      :					str											=		min(SCREAMING_SNAKE_CASE__     ,    SCREAMING_SNAKE_CASE__							)
            SCREAMING_SNAKE_CASE__      :					Optional[Any]											=		answer
      return answers[number]


if __name__ == "__main__":
  import doctest

  doctest.testmod()








from ...utils import (
    OptionalDependencyNotAvailable,
    is_torch_available,
    is_transformers_available,
    is_transformers_version,
)


try:
 if not (is_transformers_available() and is_torch_available()):
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 from ...utils.dummy_torch_and_transformers_objects import ShapEPipeline
else:
 from .camera import create_pan_cameras
 from .pipeline_shap_e import ShapEPipeline
 from .pipeline_shap_e_img2img import ShapEImgaImgPipeline
 from .renderer import (
     BoundingBoxVolume,
     ImportanceRaySampler,
     MLPNeRFModelOutput,
     MLPNeRSTFModel,
     ShapEParamsProjModel,
     ShapERenderer,
     StratifiedRaySampler,
     VoidNeRFModel,
 )


