'''simple docstring'''




from __future__ import annotations

import math

def 	UpperCamelCase_							(					_UpperCAmelCase  :      int			,	_UpperCAmelCase  :      int			,	_UpperCAmelCase  :      bool			,	_UpperCAmelCase  :      list[int]			,	_UpperCAmelCase  :      float    )    ->    int:


       """simple docstring"""







       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 	UpperCamelCase_							(					)    ->    None:


       """simple docstring"""







       _UpperCAmelCase     :  int							      =    [90, 23, 6, 33, 21, 65, 123, 34_423]
       _UpperCAmelCase     :  List[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()



def     __lowerCAmelCase			(			a__						,    a__						,    a__  )       ->  list:
				__a										=    len(a__  )
				__a										=    [[0] * n for i in range(a__  )]
				for i in range(a__  ):
								__a										=    y_points[i]

				for i in range(2						,    a__  ):
								for j in range(a__						,    a__  ):
												__a										=    (
												    (xa - x_points[j - i + 1]) * q[j][i - 1]
												    - (xa - x_points[j]) * q[j - 1][i - 1]
												) / (x_points[j] - x_points[j - i + 1])

				return [q[n - 1][n - 1], q]


if __name__ == "__main__":
					import doctest

					doctest.testmod()