



'''simple docstring'''







from __future__ import annotations
def 			_lowerCAmelCase(      UpperCAmelCase_      :	list[int]						) ->							list[int]:
							if not list_of_ints:
														return []

							if min(UpperCAmelCase_						) < 0:
														raise ValueError("""All numbers must be positive"""						)

							lowerCAmelCase__  =   max(len(bin(UpperCAmelCase_						)[2:]						) for x in list_of_ints						)
							return _msd_radix_sort(UpperCAmelCase_					, UpperCAmelCase_						)
def 			_lowerCAmelCase(      UpperCAmelCase_      :	list[int]					, UpperCAmelCase_      :	int						) ->							list[int]:
							if bit_position == 0 or len(UpperCAmelCase_						) in [0, 1]:
														return list_of_ints

							lowerCAmelCase__  =   []
							lowerCAmelCase__  =   []
							# Split numbers based on bit at bit_position from the right
							for number in list_of_ints:
														if (number >> (bit_position - 1)) & 1:
																					# number has a one at bit bit_position
																					ones.append(UpperCAmelCase_						)
														else:
																					# number has a zero at bit bit_position
																					zeros.append(UpperCAmelCase_						)

    # recursively split both lists further
							lowerCAmelCase__  =   _msd_radix_sort(UpperCAmelCase_					, bit_position - 1						)
							lowerCAmelCase__  =   _msd_radix_sort(UpperCAmelCase_					, bit_position - 1						)

							# recombine lists
							lowerCAmelCase__  =   zeros
							res.extend(UpperCAmelCase_						)

							return res
def 			_lowerCAmelCase(      UpperCAmelCase_      :	list[int]						) ->							int:
							lowerCAmelCase__  =   len(UpperCAmelCase_						)
							if not list_of_ints or length == 1:
														return

							if min(UpperCAmelCase_						) < 0:
														raise ValueError("""All numbers must be positive"""						)

							lowerCAmelCase__  =   max(len(bin(UpperCAmelCase_						)[2:]						) for x in list_of_ints						)
							_msd_radix_sort_inplace(UpperCAmelCase_					, UpperCAmelCase_					, 0					, UpperCAmelCase_						)
def 			_lowerCAmelCase(      UpperCAmelCase_      :	list[int]					, UpperCAmelCase_      :	int					, UpperCAmelCase_      :	int					, UpperCAmelCase_      :	int						) ->							Optional[Any]:
							if bit_position == 0 or end_index - begin_index <= 1:
														return

							bit_position -= 1

							lowerCAmelCase__  =   begin_index
							lowerCAmelCase__  =   end_index - 1
							while i <= j:
														lowerCAmelCase__  =   False
														if not (list_of_ints[i] >> bit_position) & 1:
																					# found zero at the beginning
																					i += 1
																					lowerCAmelCase__  =   True
														if (list_of_ints[j] >> bit_position) & 1:
																					# found one at the end
																					j -= 1
																					lowerCAmelCase__  =   True

														if changed:
																					continue

														lowerCAmelCase__  ,lowerCAmelCase__  =   list_of_ints[j], list_of_ints[i]
														j -= 1
														if j != i:
																					i += 1

							_msd_radix_sort_inplace(UpperCAmelCase_					, UpperCAmelCase_					, UpperCAmelCase_					, UpperCAmelCase_						)
							_msd_radix_sort_inplace(UpperCAmelCase_					, UpperCAmelCase_					, UpperCAmelCase_					, UpperCAmelCase_						)


if __name__ == "__main__":
		import doctest

		doctest.testmod()










'''simple docstring'''







from ..utils import DummyObject, requires_backends

class      lowerCamelCase__     (     metaclass=_A				):






	'''simple docstring'''

	A__		=	['''torch''', '''librosa''']




	def __init__(  self		:  Optional[Any]   ,		*__A		:  Tuple   ,		**__A		:  Tuple					)     ->			Union[str, Any]:




								'''simple docstring'''





								requires_backends(self   ,		["""torch""", """librosa"""]					)




	@classmethod
	def      lowercase__							(  cls		:  Dict   ,		*__A		:  List[Any]   ,		**__A		:  List[str]					)     ->			Union[str, Any]:




								'''simple docstring'''





								requires_backends(cls   ,		["""torch""", """librosa"""]					)




	@classmethod
	def      lowercase__							(  cls		:  Optional[int]   ,		*__A		:  List[str]   ,		**__A		:  Tuple					)     ->			Any:




								'''simple docstring'''





								requires_backends(cls   ,		["""torch""", """librosa"""]					)





class      lowerCamelCase__     (     metaclass=_A				):






	'''simple docstring'''

	A__		=	['''torch''', '''librosa''']




	def __init__(  self		:  int   ,		*__A		:  Dict   ,		**__A		:  List[Any]					)     ->			List[Any]:




								'''simple docstring'''





								requires_backends(self   ,		["""torch""", """librosa"""]					)




	@classmethod
	def      lowercase__							(  cls		:  Optional[int]   ,		*__A		:  Optional[int]   ,		**__A		:  List[Any]					)     ->			Union[str, Any]:




								'''simple docstring'''





								requires_backends(cls   ,		["""torch""", """librosa"""]					)




	@classmethod
	def      lowercase__							(  cls		:  List[str]   ,		*__A		:  List[str]   ,		**__A		:  int					)     ->			List[str]:




								'''simple docstring'''





								requires_backends(cls   ,		["""torch""", """librosa"""]					)





