
"""simple docstring"""




from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


UpperCAmelCase__      :    Union[str, Any]    							= {
    'configuration_pegasus_x': ['PEGASUS_X_PRETRAINED_CONFIG_ARCHIVE_MAP', 'PegasusXConfig'],
}

try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					UpperCAmelCase__      :    Dict    							= [
					    'PEGASUS_X_PRETRAINED_MODEL_ARCHIVE_LIST',
					    'PegasusXForConditionalGeneration',
					    'PegasusXModel',
					    'PegasusXPreTrainedModel',
					]


if TYPE_CHECKING:
					from .configuration_pegasus_x import PEGASUS_X_PRETRAINED_CONFIG_ARCHIVE_MAP, PegasusXConfig

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_pegasus_x import (
										    PEGASUS_X_PRETRAINED_MODEL_ARCHIVE_LIST,
										    PegasusXForConditionalGeneration,
										    PegasusXModel,
										    PegasusXPreTrainedModel,
										)


else:
					import sys

					UpperCAmelCase__      :    List[str]    							= _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)










import math
import sys



def 					UpperCAmelCase__     (   lowerCamelCase      ):
  if number != int(lowerCamelCase      ):
    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
  lowercase			:Dict							=  [-1] * (number + 1)
  lowercase			:Optional[Any]							=  0
  for i in range(1,	number + 1      ):
    lowercase			:Optional[int]							=  sys.maxsize
    lowercase			:Any							=  int(math.sqrt(lowerCamelCase      )      )
    for j in range(1,	root + 1      ):
      lowercase			:Any							=  1 + answers[i - (j**2)]
      lowercase			:Dict							=  min(lowerCamelCase,	lowerCamelCase      )
    lowercase			:Union[str, Any]							=  answer
  return answers[number]


if __name__ == "__main__":
     import doctest

     doctest.testmod()



