





"""simple docstring"""
from __future__ import annotations



def 					__lowerCamelCase       (							a_					:		Optional[Any]			,       a_					:		Optional[Any]			,       a_					:		int			,       a_					:		Dict							)      ->				Dict:  # noqa: E741
      while r - l > 1:
            __SCREAMING_SNAKE_CASE       :Union[str, Any]		    =  (l + r) // 2
            if v[m] >= key:
                  __SCREAMING_SNAKE_CASE       :Any		    =  m
            else:
                  __SCREAMING_SNAKE_CASE       :List[Any]		    =  m  # noqa: E741
      return r



def 					__lowerCamelCase       (							a_					:		list[int]							)      ->				int:
      if len(a_							) == 0:
            return 0

      __SCREAMING_SNAKE_CASE       :str		    =  [0] * len(a_							)
      __SCREAMING_SNAKE_CASE       :Optional[Any]		    =  1

      __SCREAMING_SNAKE_CASE       :Optional[int]		    =  v[0]

      for i in range(1			,       len(a_							)							):
            if v[i] < tail[0]:
                  __SCREAMING_SNAKE_CASE       :List[Any]		    =  v[i]
            elif v[i] > tail[length - 1]:
                  __SCREAMING_SNAKE_CASE       :List[str]		    =  v[i]
                  length += 1
            else:
                  __SCREAMING_SNAKE_CASE       :List[Any]		    =  v[i]

      return length


if __name__ == "__main__":
  import doctest

  doctest.testmod()






"""simple docstring"""
from __future__ import annotations

import math



def 					__lowerCamelCase       (							a_					:		int			,       a_					:		int			,       a_					:		bool			,       a_					:		list[int]			,       a_					:		float							)      ->				int:

      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 					__lowerCamelCase       (							)      ->				None:
      __SCREAMING_SNAKE_CASE       :Dict		    =  [90, 23, 6, 33, 21, 65, 1_23, 3_44_23]
      __SCREAMING_SNAKE_CASE       :Optional[int]		    =  math.log(len(a_							)			,       2							)
      print('''Optimal value : '''			,       end=''''''							)
      print(minimax(0			,       0			,       a_			,       a_			,       a_							)							)


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()