



'''simple docstring'''






import math




def        snake_case_   (	lowerCAmelCase_						)->						list[int]:





       '''simple docstring'''


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


if __name__ == "__main__":
   import doctest

   doctest.testmod()








from ..utils import DummyObject, requires_backends
class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[str]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Dict									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Union[str, Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Any									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Dict									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Dict									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     str									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Any									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Any									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Dict									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[str]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Union[str, Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     str									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[str]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[str]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Union[str, Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Union[str, Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Optional[int]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Union[str, Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Dict									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[str]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Union[str, Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     int									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     str									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Dict									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     str									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Optional[Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Optional[int]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Optional[int]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Tuple									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Dict									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     int									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Dict									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Any									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Optional[int]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[str]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Any									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Optional[Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Optional[int]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Dict									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Optional[Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Any									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Optional[int]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     int									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[str]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Union[str, Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Tuple									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Union[str, Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     str									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[str]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Any									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     int									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Optional[Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Optional[int]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Union[str, Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[str]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Tuple									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Tuple									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Tuple									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[Any]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     List[str]									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Tuple									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     str									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     int									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Any									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     int									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     str									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Any									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )


class lowerCAmelCase_       (   metaclass=A_			):







	'''simple docstring'''




	A_       :     Dict									=		['vision']

	def __init__(	self   ,       *lowerCamelCase   ,       **lowerCamelCase       ):



				'''simple docstring'''


				requires_backends(self   ,       ["""vision"""]       )

