

'''simple docstring'''


from __future__ import annotations

import math







def 						SCREAMING_SNAKE_CASE(  UpperCamelCase   ,UpperCamelCase   ,UpperCamelCase   ,UpperCamelCase   ,UpperCamelCase  )    ->    int:

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

	if len(UpperCamelCase  ) == 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   ,UpperCamelCase   ,UpperCamelCase   ,UpperCamelCase  )   ,minimax(depth + 1   ,node_index * 2 + 1   ,UpperCamelCase   ,UpperCamelCase   ,UpperCamelCase  )   ,)

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







def 						SCREAMING_SNAKE_CASE(  )    ->    None:
	UpperCAmelCase_		:      List[str]       	=					[9_0, 2_3, 6, 3_3, 2_1, 6_5, 1_2_3, 3_4_4_2_3]
	UpperCAmelCase_		:      Any       	=					math.log(len(UpperCamelCase  )   ,2  )
	print('Optimal value : '   ,end=''  )
	print(minimax(0   ,0   ,UpperCamelCase   ,UpperCamelCase   ,UpperCamelCase  )  )


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						main()









'''simple docstring'''


from __future__ import annotations

from typing import Any



class 					lowercase						(  a_ ):
							pass



class 					lowercase						:


							def __init__(			self    ,			_snake_case)							->				None:
								UpperCAmelCase_		:      Any       	=					data
								UpperCAmelCase_		:      Node | None       	=					None


							def __iter__(			self)							->				Optional[int]:
								UpperCAmelCase_		:      int       	=					self
								UpperCAmelCase_		:      List[str]       	=					[]
								while node:
									if node in visited:
										raise ContainsLoopError
									visited.append(_snake_case)
									yield node.data
									UpperCAmelCase_		:      Tuple       	=					node.next_node





							@property
							def 						_snake_case							(			self)							->				bool:
								try:
									list(self)
									return False
								except ContainsLoopError:
									return True


if __name__ == "__main__":
						lowerCAmelCase__										= Node(1)
						lowerCAmelCase__										= Node(2)
						lowerCAmelCase__										= Node(3)
						lowerCAmelCase__										= Node(4)
						print(root_node.has_loop)  # False
						lowerCAmelCase__										= root_node.next_node
						print(root_node.has_loop)  # True

						lowerCAmelCase__										= Node(5)
						lowerCAmelCase__										= Node(6)
						lowerCAmelCase__										= Node(5)
						lowerCAmelCase__										= Node(6)
						print(root_node.has_loop)  # False

						lowerCAmelCase__										= Node(1)
						print(root_node.has_loop)  # False






