






from __future__ import annotations

import math
def 					snake_case_						(   lowerCAmelCase_				:  int				,				lowerCAmelCase_				:  int				,				lowerCAmelCase_				:  bool				,				lowerCAmelCase_				:  list[int]				,				lowerCAmelCase_				:  float					):

							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				,				lowerCAmelCase_				,				lowerCAmelCase_				,				lowerCAmelCase_					)				,				minimax(depth + 1				,				node_index * 2 + 1				,				lowerCAmelCase_				,				lowerCAmelCase_				,				lowerCAmelCase_					)				,				)
							    if is_max
							    else min(
							        minimax(depth + 1				,				node_index * 2				,				lowerCAmelCase_				,				lowerCAmelCase_				,				lowerCAmelCase_					)				,				minimax(depth + 1				,				node_index * 2 + 1				,				lowerCAmelCase_				,				lowerCAmelCase_				,				lowerCAmelCase_					)				,				)
							)
def 					snake_case_						(   ):
							__lowercase					:							List[str]			=   [90, 23, 6, 33, 21, 65, 123, 34423]
							__lowercase					:							Optional[Any]			=   math.log(len(lowerCAmelCase_					)				,				2					)
							print(F"Optimal value : {minimax(0				,				0				,				lowerCAmelCase_				,				lowerCAmelCase_				,				lowerCAmelCase_					)}"					)


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()







from math import pi
def 					snake_case_						(   lowerCAmelCase_				:  int				,				lowerCAmelCase_				:  int					):
							return 2 * pi * radius * (angle / 360)


if __name__ == "__main__":
	print(arc_length(90, 10))