






"""simple docstring"""







from __future__ import annotations

import math





def 						lowercase__(A ,		A ,		A ,		A ,		A						)    ->int:




						"""simple docstring"""



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

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

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





def 						lowercase__()    ->None:




						"""simple docstring"""



						lowercase__    :				Optional[int]=	[90, 23, 6, 33, 21, 65, 123, 34_423]
						lowercase__    :				List[str]=	math.log(len(A						) ,		2						)
						print("Optimal value : " ,		end=""						)
						print(minimax(0 ,		0 ,		A ,		A ,		A						)						)


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			main()














"""simple docstring"""







from __future__ import annotations


class    __UpperCAmelCase:




						"""simple docstring"""




						def __init__(       self	,  snake_case__      ):
												'''simple docstring'''
												lowercase__    :				List[Any]=	data
												lowercase__    :				Node | None=	None
												lowercase__    :				Node | None=	None





def 						lowercase__(A						)    ->None:  # In Order traversal of the tree




						"""simple docstring"""



						if tree:
												display(tree.left						)
												print(tree.data						)
												display(tree.right						)





def 						lowercase__(A						)    ->int:




						"""simple docstring"""



						return 1 + max(depth_of_tree(tree.left						) ,		depth_of_tree(tree.right						)						) if tree else 0





def 						lowercase__(A						)    ->bool:




						"""simple docstring"""



						if not tree:
												return True
						if tree.left and tree.right:
												return is_full_binary_tree(tree.left						) and is_full_binary_tree(tree.right						)
						else:
												return not tree.left and not tree.right





def 						lowercase__()    ->None:  # Main function for testing.




						"""simple docstring"""



						lowercase__    :				Tuple=	Node(1						)
						lowercase__    :				Optional[int]=	Node(2						)
						lowercase__    :				List[str]=	Node(3						)
						lowercase__    :				Tuple=	Node(4						)
						lowercase__    :				Optional[int]=	Node(5						)
						lowercase__    :				Any=	Node(6						)
						lowercase__    :				Optional[Any]=	Node(7						)
						lowercase__    :				Optional[int]=	Node(8						)
						lowercase__    :				List[str]=	Node(9						)

						print(is_full_binary_tree(A						)						)
						print(depth_of_tree(A						)						)
						print("Tree is: "						)
						display(A						)


if __name__ == "__main__":
			main()






