


'''simple docstring'''






from __future__ import annotations

import math






def 	_A				(lowerCAmelCase__  :int				,						lowerCAmelCase__  :int				,						lowerCAmelCase__  :bool				,						lowerCAmelCase__  :list[int]				,						lowerCAmelCase__  :float		)   ->  int:




     '''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				,						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 	_A				()   ->  None:




     '''simple docstring'''



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


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 main()





'''simple docstring'''






class  a     :
 def __init__( self      ,				__magic_name__						)					->							Optional[int]:
      _a			      =							n
      _a			      =							[None] * self.n
      _a			      =							0  # index of the first element
      _a			      =							0
      _a			      =							0
 def __len__( self						)					->							int:
      return self.size
 def 							__UpperCAmelCase		( self						)					->							bool:
      return self.size == 0
 def 							__UpperCAmelCase		( self						)					->							Optional[Any]:
      return False if self.is_empty() else self.array[self.front]
 def 							__UpperCAmelCase		( self      ,				__magic_name__						)					->							Optional[Any]:
      if self.size >= self.n:
           raise Exception('QUEUE IS FULL'						)

      _a			      =							data
      _a			      =							(self.rear + 1) % self.n
      self.size += 1
      return self




 def 							__UpperCAmelCase		( self						)					->							Any:
      if self.size == 0:
           raise Exception('UNDERFLOW'						)

      _a			      =							self.array[self.front]
      _a			      =							None
      _a			      =							(self.front + 1) % self.n
      self.size -= 1
      return temp

