





from bisect import bisect
from itertools import accumulate





def      _lowercase					(						_UpperCAmelCase			,      _UpperCAmelCase			,      _UpperCAmelCase			,      _UpperCAmelCase				)						->  Dict:
				lowerCamelCase	 =sorted(zip(_UpperCAmelCase			,      _UpperCAmelCase				)			,      key=lambda _UpperCAmelCase				: x[0] / x[1]			,      reverse=_UpperCAmelCase				)
				lowerCamelCase ,  lowerCamelCase	 =[i[0] for i in r], [i[1] for i in r]
				lowerCamelCase	 =list(accumulate(_UpperCAmelCase				)				)
				lowerCamelCase	 =bisect(_UpperCAmelCase			,      _UpperCAmelCase				)
				return (
				    0
				    if k == 0
				    else sum(vl[:k]				) + (w - acc[k - 1]) * (vl[k]) / (wt[k])
				    if k != n
				    else sum(vl[:k]				)
				)


if __name__ == "__main__":
							import doctest

							doctest.testmod()












from ..utils import DummyObject, requires_backends

class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)





def      _lowercase					(						*_UpperCAmelCase			,      **_UpperCAmelCase				)						->  int:
				requires_backends(_UpperCAmelCase			,      ["""torch"""]				)





def      _lowercase					(						*_UpperCAmelCase			,      **_UpperCAmelCase				)						->  Optional[int]:
				requires_backends(_UpperCAmelCase			,      ["""torch"""]				)





def      _lowercase					(						*_UpperCAmelCase			,      **_UpperCAmelCase				)						->  str:
				requires_backends(_UpperCAmelCase			,      ["""torch"""]				)





def      _lowercase					(						*_UpperCAmelCase			,      **_UpperCAmelCase				)						->  str:
				requires_backends(_UpperCAmelCase			,      ["""torch"""]				)





def      _lowercase					(						*_UpperCAmelCase			,      **_UpperCAmelCase				)						->  Optional[Any]:
				requires_backends(_UpperCAmelCase			,      ["""torch"""]				)





def      _lowercase					(						*_UpperCAmelCase			,      **_UpperCAmelCase				)						->  List[str]:
				requires_backends(_UpperCAmelCase			,      ["""torch"""]				)





def      _lowercase					(						*_UpperCAmelCase			,      **_UpperCAmelCase				)						->  Dict:
				requires_backends(_UpperCAmelCase			,      ["""torch"""]				)

class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)




class       __A     (						metaclass=a    ):
				__A      =				["""torch"""]


				def __init__(		self   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(self   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)


				@classmethod
				def _snake_case       (		cls   , *UpperCAmelCase_   , **UpperCAmelCase_							):
								requires_backends(cls   , ["""torch"""]							)





