



"""simple docstring"""
def   A_    (     _lowercase      ):







						'''simple docstring'''


						if len(_lowercase      ) == 0 or not all(len(_lowercase      ) == 2 for pair in coordinates      ):
												raise ValueError("""The program cannot work out a fitting polynomial."""      )

						if len({tuple(_lowercase      ) for pair in coordinates}      ) != len(_lowercase      ):
												raise ValueError("""The program cannot work out a fitting polynomial."""      )

						snake_case_					:Dict		=     {x for x, _ in coordinates}
						if len(_lowercase      ) == 1:
												return f"""x={coordinates[0][0]}"""

						if len(_lowercase      ) != len(_lowercase      ):
												raise ValueError("""The program cannot work out a fitting polynomial."""      )

						snake_case_					:Tuple		=     len(_lowercase      )

						snake_case_					:Union[str, Any]		=     0
						snake_case_					:list[list[float]]		=     []
						# put the x and x to the power values in a matrix
						while count_of_line < x:
												snake_case_					:List[Any]		=     0
												snake_case_					:Tuple		=     coordinates[count_of_line][0]
												snake_case_					:list[float]		=     []
												while count_in_line < x:
																		count_line.append(a ** (x - (count_in_line + 1))      )
																		count_in_line += 1
												matrix.append(_lowercase      )
												count_of_line += 1

						snake_case_					:List[str]		=     0
						# put the y values into a vector
						snake_case_					:list[float]		=     []
						while count_of_line < x:
												vector.append(coordinates[count_of_line][1]      )
												count_of_line += 1

						snake_case_					:Dict		=     0

						while count < x:
												snake_case_					:int		=     0
												while zahlen < x:
																		if count == zahlen:
																								zahlen += 1
																		if zahlen == x:
																								break
																		snake_case_					:int		=     matrix[zahlen][count] / matrix[count][count]
																		for counting_columns, item in enumerate(matrix[count]      ):
																								# manipulating all the values in the matrix
																								matrix[zahlen][counting_columns] -= item * bruch
																		# manipulating the values in the vector
																		vector[zahlen] -= vector[count] * bruch
																		zahlen += 1
												count += 1

						snake_case_					:Tuple		=     0
						# make solutions
						snake_case_					:list[str]		=     []
						while count < x:
												solution.append(str(vector[count] / matrix[count][count]      )      )
												count += 1

						snake_case_					:Union[str, Any]		=     0
						snake_case_					:Union[str, Any]		=     """f(x)="""

						while count < x:
												snake_case_					:list[str]		=     solution[count].split("""E"""      )
												if len(_lowercase      ) > 1:
																		snake_case_					:List[Any]		=     f"""{remove_e[0]}*10^{remove_e[1]}"""
												solved += f"""x^{x - (count + 1)}*{solution[count]}"""
												if count + 1 != x:
																		solved += "+"
												count += 1

						return solved


if __name__ == "__main__":
						print(points_to_polynomial([]))
						print(points_to_polynomial([[]]))
						print(points_to_polynomial([[1, 0], [2, 0], [3, 0]]))
						print(points_to_polynomial([[1, 1], [2, 1], [3, 1]]))
						print(points_to_polynomial([[1, 3], [2, 3], [3, 3]]))
						print(points_to_polynomial([[1, 1], [2, 2], [3, 3]]))
						print(points_to_polynomial([[1, 1], [2, 4], [3, 9]]))
						print(points_to_polynomial([[1, 3], [2, 6], [3, 11]]))
						print(points_to_polynomial([[1, -3], [2, -6], [3, -11]]))
						print(points_to_polynomial([[1, 5], [2, 2], [3, 9]]))





"""simple docstring"""




from ...configuration_utils import PretrainedConfig
from ...utils import logging


_UpperCamelCase:					Tuple     				=	logging.get_logger(__name__)

_UpperCamelCase:					List[str]     				=	{
    'facebook/regnet-y-040': 'https://huggingface.co/facebook/regnet-y-040/blob/main/config.json',
}


class 	a__		(    SCREAMING_SNAKE_CASE__  ):
   _lowerCamelCase       				=					'regnet'
   _lowerCamelCase       				=					['x', 'y']


   def __init__(				self   :				Union[str, Any],  lowerCAmelCase   :				Union[str, Any]=3,  lowerCAmelCase   :				Tuple=32,  lowerCAmelCase   :				Optional[int]=[128, 192, 512, 1088],  lowerCAmelCase   :				Optional[int]=[2, 6, 12, 2],  lowerCAmelCase   :				str=64,  lowerCAmelCase   :				List[str]="y",  lowerCAmelCase   :				Optional[int]="relu",  **lowerCAmelCase   :				List[Any],  )     ->							Union[str, Any]:
         super().__init__(**lowerCAmelCase      )
         if layer_type not in self.layer_types:
               raise ValueError(f'''layer_type={layer_type} is not one of {','.join(self.layer_types      )}'''      )
         lowercase	:   str											= num_channels
         lowercase	:   str											= embedding_size
         lowercase	:   int											= hidden_sizes
         lowercase	:   Tuple											= depths
         lowercase	:   str											= groups_width
         lowercase	:   List[str]											= layer_type
         lowercase	:   Optional[int]											= hidden_act
         # always downsample in the first stage
         lowercase	:   Optional[Any]											= True
