
'''simple docstring'''





import math

def   A			(							A_				:       int							):
						if not isinstance(A_     ,				A_							):
												snake_case							:  Any			=     F"""Input value of [number={number}] must be an integer"""
												raise TypeError(A_							)
						if number < 1:
												snake_case							:  List[Any]			=     F"""Input value of [number={number}] must be a positive integer"""
												raise ValueError(A_							)
						snake_case							:  Union[str, Any]			=     [number]
						while number != 1:
												if number % 2 == 0:
																		snake_case							:  List[Any]			=     math.floor(math.sqrt(A_							)							)
												else:
																		snake_case							:  str			=     math.floor(
																		    math.sqrt(A_							) * math.sqrt(A_							) * math.sqrt(A_							)							)
												sequence.append(A_							)
						return sequence


if __name__ == "__main__":
						import doctest

						doctest.testmod()








from ..utils import DummyObject, requires_backends



class  SCREAMING_SNAKE_CASE_  ( metaclass=SCREAMING_SNAKE_CASE__			):


  """simple docstring"""





  _a								=							["""torch""", """transformers""", """k_diffusion"""]





  def __init__(  self	,  *A	,  **A						)		->   Optional[Any]:





       '''simple docstring'''







       requires_backends(self	,  ['''torch''', '''transformers''', '''k_diffusion''']						)





  @classmethod
  def 			__A      (  cls	,  *A	,  **A						)		->   Dict:





       '''simple docstring'''







       requires_backends(cls	,  ['''torch''', '''transformers''', '''k_diffusion''']						)







  @classmethod
  def 			__A      (  cls	,  *A	,  **A						)		->   Optional[Any]:





       '''simple docstring'''







       requires_backends(cls	,  ['''torch''', '''transformers''', '''k_diffusion''']						)