"""simple docstring"""





from __future__ import annotations





def     a_					(				_lowerCAmelCase  :			list[int | float]       ,			_lowerCAmelCase  :			int       ,			_lowerCAmelCase  :			int					):





       '''simple docstring'''

       if len(_lowerCAmelCase					) == 0:
              raise ValueError('find_min() arg is an empty sequence'					)
       if (
           left >= len(_lowerCAmelCase					)
           or left < -len(_lowerCAmelCase					)
           or right >= len(_lowerCAmelCase					)
           or right < -len(_lowerCAmelCase					)
       ):
              raise IndexError('list index out of range'					)
       if left == right:
              return nums[left]
       lowercase__      :		Optional[int]          =     (left + right) >> 1  # the middle
       lowercase__      :		Tuple          =     find_min(_lowerCAmelCase       ,			_lowerCAmelCase       ,			_lowerCAmelCase					)  # find min in range[left, mid]
       lowercase__      :		Any          =     find_min(_lowerCAmelCase       ,			mid + 1       ,			_lowerCAmelCase					)  # find min in range[mid + 1, right]

       return left_min if left_min <= right_min else right_min


if __name__ == "__main__":
       import doctest

       doctest.testmod(verbose=True)


"""simple docstring"""





from ..utils import DummyObject, requires_backends


class 					UpperCAmelCase_     (   metaclass=_a):
      lowerCamelCase__		:   List[str]			  =  ["torch", "transformers", "k_diffusion"]


      def __init__(       self		,      *a		,      **a							)	-> Dict:
             requires_backends(self		,      ['torch', 'transformers', 'k_diffusion']							)


      @classmethod
      def 		_UpperCAmelCase	(       cls		,      *a		,      **a							)	-> Tuple:
             requires_backends(cls		,      ['torch', 'transformers', 'k_diffusion']							)


      @classmethod
      def 		_UpperCAmelCase	(       cls		,      *a		,      **a							)	-> Any:
             requires_backends(cls		,      ['torch', 'transformers', 'k_diffusion']							)

