



from __future__ import annotations

import math





def       __magic_name__    (   _lowerCamelCase				: int  ,       _lowerCamelCase				: int  ,       _lowerCamelCase				: bool  ,       _lowerCamelCase				: list[int]  ,       _lowerCamelCase				: float					):

							if depth < 0:
														raise ValueError("""Depth cannot be less than 0"""					)

							if len(_lowerCamelCase					) == 0:
														raise ValueError("""Scores cannot be empty"""					)

							if depth == height:
														return scores[node_index]

							if is_max:
														return max(
														    minimax(depth + 1  ,       node_index * 2  ,       _lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase					)  ,       minimax(depth + 1  ,       node_index * 2 + 1  ,       _lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase					)  ,       )

							return min(
							    minimax(depth + 1  ,       node_index * 2  ,       _lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase					)  ,       minimax(depth + 1  ,       node_index * 2 + 1  ,       _lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase					)  ,       )





def       __magic_name__    (   ):
							__a		:		Any									=       [9_0, 2_3, 6, 3_3, 2_1, 6_5, 1_2_3, 3_4_4_2_3]
							__a		:		Optional[Any]									=       math.log(len(_lowerCamelCase					)  ,       2					)
							print("""Optimal value : """  ,       end=""""""					)
							print(minimax(0  ,       0  ,       _lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase					)					)


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()






"""simple docstring"""

def       __magic_name__    (   _lowerCamelCase				: list[int]					):
							if not nums:  # Makes sure that the list is not empty
														raise ValueError("""List is empty"""					)

							__a		:		Any									=       sum(_lowerCamelCase					) / len(_lowerCamelCase					)  # Calculate the average
							return sum(abs(x - average					) for x in nums					) / len(_lowerCamelCase					)


if __name__ == "__main__":
	import doctest

	doctest.testmod()

