






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)					->	int:

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

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

   return 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   ()					->	None:
   _lowercase              =[90, 23, 6, 33, 21, 65, 123, 3_4423]
   _lowercase              =math.log(len(_snake_case)      ,    2)
   print('Optimal value : '      ,    end='')
   print(minimax(0      ,    0      ,    _snake_case      ,    _snake_case      ,    _snake_case))


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()










def        _snake_case   (_snake_case				:       list      ,    _snake_case				:       int      ,    _snake_case				:       int = 0      ,    _snake_case				:       int = 0)					->	int:
   _lowercase              =right or len(_snake_case) - 1
   if left > right:
      return -1
   elif list_data[left] == key:
      return left
   elif list_data[right] == key:
      return right
   else:
      return search(_snake_case      ,    _snake_case      ,    left + 1      ,    right - 1)


if __name__ == "__main__":
    import doctest

    doctest.testmod()


