"""simple docstring"""







from __future__ import annotations




def 						_lowercase				(  _SCREAMING_SNAKE_CASE				:				Any  ,       _SCREAMING_SNAKE_CASE				:				Dict  ,       _SCREAMING_SNAKE_CASE				:				Optional[int]						)    ->     Union[str, Any]:







     '''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]
     __A					:					Tuple								=		(left + right) >> 1  # the middle
     __A					:					Union[str, Any]								=		find_min(lowerCAmelCase_  ,       lowerCAmelCase_  ,       lowerCAmelCase_						)  # find min in range[left, mid]
     __A					:					Union[str, 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 __future__ import annotations




def  _a     (				lowerCAmelCase_						):





      """simple docstring"""



      _snake_case		:						List[str]         =  sorted(lowerCAmelCase_						)
      _snake_case		:						Any         =  len(lowerCAmelCase_						)
      _snake_case		:						List[str]         =  length >> 1
      return (
          (sorted_list[mid_index] + sorted_list[mid_index - 1]) / 2
          if length % 2 == 0
          else sorted_list[mid_index]
      )




def  _a     (				):





      """simple docstring"""



      import doctest

      doctest.testmod()


if __name__ == "__main__":
   main()


