





'''simple docstring'''




from __future__ import annotations

import math






def        _lowerCAmelCase			(  __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        _lowerCAmelCase			(  )     ->     None:
     __A						: Optional[int]      =       [90, 23, 6, 33, 21, 65, 1_23, 3_44_23]
     __A						: List[str]      =       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()






'''simple docstring'''




lowercase__    :      Dict						=    {
    '''Pillow''': '''Pillow''',
    '''accelerate''': '''accelerate>=0.11.0''',
    '''compel''': '''compel==0.1.8''',
    '''black''': '''black~=23.1''',
    '''datasets''': '''datasets''',
    '''filelock''': '''filelock''',
    '''flax''': '''flax>=0.4.1''',
    '''hf-doc-builder''': '''hf-doc-builder>=0.3.0''',
    '''huggingface-hub''': '''huggingface-hub>=0.13.2''',
    '''requests-mock''': '''requests-mock==1.10.0''',
    '''importlib_metadata''': '''importlib_metadata''',
    '''invisible-watermark''': '''invisible-watermark''',
    '''isort''': '''isort>=5.5.4''',
    '''jax''': '''jax>=0.2.8,!=0.3.2''',
    '''jaxlib''': '''jaxlib>=0.1.65''',
    '''Jinja2''': '''Jinja2''',
    '''k-diffusion''': '''k-diffusion>=0.0.12''',
    '''torchsde''': '''torchsde''',
    '''note_seq''': '''note_seq''',
    '''librosa''': '''librosa''',
    '''numpy''': '''numpy''',
    '''omegaconf''': '''omegaconf''',
    '''parameterized''': '''parameterized''',
    '''protobuf''': '''protobuf>=3.20.3,<4''',
    '''pytest''': '''pytest''',
    '''pytest-timeout''': '''pytest-timeout''',
    '''pytest-xdist''': '''pytest-xdist''',
    '''ruff''': '''ruff>=0.0.241''',
    '''safetensors''': '''safetensors''',
    '''sentencepiece''': '''sentencepiece>=0.1.91,!=0.1.92''',
    '''scipy''': '''scipy''',
    '''onnx''': '''onnx''',
    '''regex''': '''regex!=2019.12.17''',
    '''requests''': '''requests''',
    '''tensorboard''': '''tensorboard''',
    '''torch''': '''torch>=1.4''',
    '''torchvision''': '''torchvision''',
    '''transformers''': '''transformers>=4.25.1''',
    '''urllib3''': '''urllib3<=2.0.0''',
}