


from __future__ import annotations

from collections.abc import Callable

lowerCamelCase		   =			list[list[float | int]]




def       a_ (       SCREAMING_SNAKE_CASE__   : Matrix						,     SCREAMING_SNAKE_CASE__   : Matrix	):
       '''simple docstring'''





       _lowerCamelCase			:						int            =len(SCREAMING_SNAKE_CASE__	)
       _lowerCamelCase			:						Matrix            =[[0 for _ in range(size + 1	)] for _ in range(SCREAMING_SNAKE_CASE__	)]
       _lowerCamelCase			:						int
       _lowerCamelCase			:						int
       _lowerCamelCase			:						int
       _lowerCamelCase			:						int
       _lowerCamelCase			:						int
       _lowerCamelCase			:						float

       for row in range(SCREAMING_SNAKE_CASE__	):
              for col in range(SCREAMING_SNAKE_CASE__	):
                     _lowerCamelCase			:						str            =matrix[row][col]

              _lowerCamelCase			:						str            =vector[row][0]

       _lowerCamelCase			:						List[str]            =0
       _lowerCamelCase			:						Optional[int]            =0
       while row < size and col < size:
              # pivoting
              _lowerCamelCase			:						List[str]            =max((abs(augmented[rowa][col]	), rowa) for rowa in range(SCREAMING_SNAKE_CASE__						,     SCREAMING_SNAKE_CASE__	)	)[
                  1
              ]
              if augmented[pivot_row][col] == 0:
                     col += 1
                     continue
              else:
                     _lowerCamelCase      ,	_lowerCamelCase			:						Optional[Any]            =augmented[pivot_row], augmented[row]

              for rowa in range(row + 1						,     SCREAMING_SNAKE_CASE__	):
                     _lowerCamelCase			:						Optional[Any]            =augmented[rowa][col] / augmented[row][col]
                     _lowerCamelCase			:						List[str]            =0
                     for cola in range(col + 1						,     size + 1	):
                            augmented[rowa][cola] -= augmented[row][cola] * ratio

              row += 1
              col += 1

       # back substitution
       for col in range(1						,     SCREAMING_SNAKE_CASE__	):
              for row in range(SCREAMING_SNAKE_CASE__	):
                     _lowerCamelCase			:						List[Any]            =augmented[row][col] / augmented[col][col]
                     for cola in range(SCREAMING_SNAKE_CASE__						,     size + 1	):
                            augmented[row][cola] -= augmented[col][cola] * ratio

    # round to get rid of numbers like 2.000000000000004
       return [
           [round(augmented[row][size] / augmented[row][row]						,     10	)] for row in range(SCREAMING_SNAKE_CASE__	)
       ]




def       a_ (       SCREAMING_SNAKE_CASE__   : list[int]	):
       '''simple docstring'''





       _lowerCamelCase			:						int            =len(SCREAMING_SNAKE_CASE__	)
       _lowerCamelCase			:						Matrix            =[[0 for _ in range(SCREAMING_SNAKE_CASE__	)] for _ in range(SCREAMING_SNAKE_CASE__	)]
       _lowerCamelCase			:						Matrix            =[[0] for _ in range(SCREAMING_SNAKE_CASE__	)]
       _lowerCamelCase			:						Matrix
       _lowerCamelCase			:						int
       _lowerCamelCase			:						int
       _lowerCamelCase			:						int

       for x_val, y_val in enumerate(SCREAMING_SNAKE_CASE__	):
              for col in range(SCREAMING_SNAKE_CASE__	):
                     _lowerCamelCase			:						Dict            =(x_val + 1) ** (size - col - 1)
              _lowerCamelCase			:						Tuple            =y_val

       _lowerCamelCase			:						Optional[int]            =solve(SCREAMING_SNAKE_CASE__						,     SCREAMING_SNAKE_CASE__	)

       def interpolated_func(SCREAMING_SNAKE_CASE__   : int	) -> int:
              return sum(
                  round(coeffs[x_val][0]	) * (var ** (size - x_val - 1))
                  for x_val in range(SCREAMING_SNAKE_CASE__	)	)

       return interpolated_func




def       a_ (       SCREAMING_SNAKE_CASE__   : int	):
       '''simple docstring'''





       return (
           1
           - variable
           + variable**2
           - variable**3
           + variable**4
           - variable**5
           + variable**6
           - variable**7
           + variable**8
           - variable**9
           + variable**10
       )




def       a_ (       SCREAMING_SNAKE_CASE__   : Callable[[int], int] = question_function						,     SCREAMING_SNAKE_CASE__   : int = 10	):
       '''simple docstring'''





       _lowerCamelCase			:						list[int]            =[func(SCREAMING_SNAKE_CASE__	) for x_val in range(1						,     order + 1	)]

       _lowerCamelCase			:						list[Callable[[int], int]]            =[
           interpolate(data_points[:max_coeff]	) for max_coeff in range(1						,     order + 1	)
       ]

       _lowerCamelCase			:						int            =0
       _lowerCamelCase			:						Callable[[int], int]
       _lowerCamelCase			:						int

       for poly in polynomials:
              _lowerCamelCase			:						Optional[Any]            =1
              while func(SCREAMING_SNAKE_CASE__	) == poly(SCREAMING_SNAKE_CASE__	):
                     x_val += 1

              ret += poly(SCREAMING_SNAKE_CASE__	)

       return ret


if __name__ == "__main__":
 print(F"""{solution() = }""")






from ...configuration_utils import PretrainedConfig
from ...utils import logging
from ...utils.backbone_utils import BackboneConfigMixin, get_aligned_output_features_output_indices


lowerCamelCase		   =			logging.get_logger(__name__)

lowerCamelCase		   =			{
    'microsoft/focalnet-tiny': 'https://huggingface.co/microsoft/focalnet-tiny/resolve/main/config.json',
}




class A    (  UpperCamelCase_       ,				UpperCamelCase_	):
      UpperCamelCase__				:    str ='focalnet'






      def __init__(   self		:	Optional[int]     ,  lowercase_		:	List[Any]=224     ,  lowercase_		:	str=4     ,  lowercase_		:	Any=3     ,  lowercase_		:	Dict=96     ,  lowercase_		:	List[str]=False     ,  lowercase_		:	Any=[192, 384, 768, 768]     ,  lowercase_		:	Dict=[2, 2, 6, 2]     ,  lowercase_		:	Optional[int]=[2, 2, 2, 2]     ,  lowercase_		:	List[Any]=[3, 3, 3, 3]     ,  lowercase_		:	Any="gelu"     ,  lowercase_		:	str=4.0     ,  lowercase_		:	List[Any]=0.0     ,  lowercase_		:	Tuple=0.1     ,  lowercase_		:	Optional[Any]=False     ,  lowercase_		:	Optional[int]=1E-4     ,  lowercase_		:	Dict=False     ,  lowercase_		:	Optional[Any]=False     ,  lowercase_		:	Dict=False     ,  lowercase_		:	List[Any]=0.02     ,  lowercase_		:	Any=1E-5     ,  lowercase_		:	Any=32     ,  lowercase_		:	List[str]=None     ,  lowercase_		:	int=None     ,  **lowercase_		:	Optional[Any]     ,  )   ->		Optional[Any]:
             """simple docstring"""




             super().__init__(**lowercase_					)

             _lowerCamelCase			:						Union[str, Any]            =image_size
             _lowerCamelCase			:						str            =patch_size
             _lowerCamelCase			:						str            =num_channels
             _lowerCamelCase			:						Tuple            =embed_dim
             _lowerCamelCase			:						Dict            =use_conv_embed
             _lowerCamelCase			:						int            =hidden_sizes
             _lowerCamelCase			:						str            =depths
             _lowerCamelCase			:						int            =focal_levels
             _lowerCamelCase			:						List[Any]            =focal_windows
             _lowerCamelCase			:						List[Any]            =hidden_act
             _lowerCamelCase			:						int            =mlp_ratio
             _lowerCamelCase			:						Any            =hidden_dropout_prob
             _lowerCamelCase			:						Optional[Any]            =drop_path_rate
             _lowerCamelCase			:						int            =use_layerscale
             _lowerCamelCase			:						str            =layerscale_value
             _lowerCamelCase			:						Dict            =use_post_layernorm
             _lowerCamelCase			:						str            =use_post_layernorm_in_modulation
             _lowerCamelCase			:						List[Any]            =normalize_modulator
             _lowerCamelCase			:						Optional[Any]            =initializer_range
             _lowerCamelCase			:						List[str]            =layer_norm_eps
             _lowerCamelCase			:						Optional[int]            =encoder_stride
             _lowerCamelCase			:						List[str]            =['stem'] + [F'''stage{idx}''' for idx in range(1     ,  len(self.depths					) + 1					)]
             _lowerCamelCase      ,	_lowerCamelCase			:						Union[str, Any]            =get_aligned_output_features_output_indices(
                 out_features=lowercase_     ,  out_indices=lowercase_     ,  stage_names=self.stage_names					)


