

from __future__ import annotations

import math

def 	A       (     snake_case__		,				snake_case__		,				snake_case__		,				snake_case__		,				snake_case__    ):




			'''simple docstring'''


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

			if not scores:
						raise ValueError("""Scores cannot be empty"""    )

			if depth == height:
						return scores[node_index]

			return (
			    max(
			        minimax(depth + 1		,				node_index * 2		,				snake_case__		,				snake_case__		,				snake_case__    )		,				minimax(depth + 1		,				node_index * 2 + 1		,				snake_case__		,				snake_case__		,				snake_case__    )		,				)
			    if is_max
			    else min(
			        minimax(depth + 1		,				node_index * 2		,				snake_case__		,				snake_case__		,				snake_case__    )		,				minimax(depth + 1		,				node_index * 2 + 1		,				snake_case__		,				snake_case__		,				snake_case__    )		,				)
			)

def 	A       (     ):




			'''simple docstring'''


			SCREAMING_SNAKE_CASE__								=      [90, 23, 6, 33, 21, 65, 1_23, 3_44_23]
			SCREAMING_SNAKE_CASE__								=      math.log(len(snake_case__    )		,				2    )
			print(f"""Optimal value : {minimax(0		,				0		,				snake_case__		,				snake_case__		,				snake_case__    )}"""    )


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						main()





"""simple docstring"""




def 	A       (     snake_case__    ):




			'''simple docstring'''


			if not nums:  # Makes sure that the list is not empty
						raise ValueError("""List is empty"""    )

			SCREAMING_SNAKE_CASE__								=      sum(snake_case__    ) / len(snake_case__    )  # Calculate the average
			return sum(abs(x - average    ) for x in nums    ) / len(snake_case__    )


if __name__ == "__main__":
						import doctest

						doctest.testmod()


