


"""simple docstring"""





from __future__ import annotations

import math


def    _snake_case  (  _snake_case :	int       ,      _snake_case :	int       ,      _snake_case :	bool       ,      _snake_case :	list[int]       ,      _snake_case :	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       ,      _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    _snake_case  (  ):
      lowerCAmelCase    :		Optional[int]				=      [90, 23, 6, 33, 21, 65, 123, 34423]
      lowerCAmelCase    :		Union[str, Any]				=      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()









class    _SCREAMING_SNAKE_CASE						:







 '''simple docstring'''

 def __init__(self				:   Optional[Any]       , UpperCAmelCase_				:   int)       ->Optional[int]:



   '''simple docstring'''



   lowerCamelCase__:      Any			  =n
   lowerCamelCase__:      Tuple			  =[None] * self.n
   lowerCamelCase__:      str			  =0  # index of the first element
   lowerCamelCase__:      Tuple			  =0
   lowerCamelCase__:      Optional[Any]			  =0

 def __len__(self				:   str)       ->int:



   '''simple docstring'''



   return self.size

 def 							SCREAMING_SNAKE_CASE_					(self				:   int)       ->bool:



   '''simple docstring'''



   return self.size == 0

 def 							SCREAMING_SNAKE_CASE_					(self				:   List[str])       ->str:



   '''simple docstring'''



   return False if self.is_empty() else self.array[self.front]

 def 							SCREAMING_SNAKE_CASE_					(self				:   int       , UpperCAmelCase_				:   Optional[int])       ->str:



   '''simple docstring'''



   if self.size >= self.n:
     raise Exception("QUEUE IS FULL")

   lowerCamelCase__:      List[Any]			  =data
   lowerCamelCase__:      Dict			  =(self.rear + 1) % self.n
   self.size += 1
   return self







 def 							SCREAMING_SNAKE_CASE_					(self				:   Tuple)       ->Tuple:



   '''simple docstring'''



   if self.size == 0:
     raise Exception("UNDERFLOW")

   lowerCamelCase__:      Optional[Any]			  =self.array[self.front]
   lowerCamelCase__:      Optional[int]			  =None
   lowerCamelCase__:      Dict			  =(self.front + 1) % self.n
   self.size -= 1
   return temp

