


"""simple docstring"""




def 						__a      (  a					):





       """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."					)

       _a          =				{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."					)

       _a          =				len(lowercase__					)

       _a          =				0
       _a          =				[]
       # put the x and x to the power values in a matrix
       while count_of_line < x:
              _a          =				0
              _a          =				coordinates[count_of_line][0]
              _a          =				[]
              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

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

       _a          =				0

       while count < x:
              _a          =				0
              while zahlen < x:
                     if count == zahlen:
                            zahlen += 1
                     if zahlen == x:
                            break
                     _a          =				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

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

       _a          =				0
       _a          =				"f(x)="

       while count < x:
              _a          =				solution[count].split("E"					)
              if len(lowercase__					) > 1:
                     _a          =				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


__SCREAMING_SNAKE_CASE					=						logging.get_logger(__name__)

__SCREAMING_SNAKE_CASE					=						{
    """bert-base-uncased""": """https://huggingface.co/bert-base-uncased/resolve/main/config.json""",
    # QDQBERT models can be loaded from any BERT checkpoint, available at https://huggingface.co/models?filter=bert
}





class __snake_case		(					_SCREAMING_SNAKE_CASE      ):







   """simple docstring"""




   lowerCAmelCase_				:   Tuple     	=			'qdqbert'




   def __init__(		self							:List[Any]				,  UpperCamelCase__							:List[Any]=30_522				,  UpperCamelCase__							:Optional[int]=768				,  UpperCamelCase__							:str=12				,  UpperCamelCase__							:Tuple=12				,  UpperCamelCase__							:Any=3_072				,  UpperCamelCase__							:Union[str, Any]="gelu"				,  UpperCamelCase__							:Dict=0.1				,  UpperCamelCase__							:Any=0.1				,  UpperCamelCase__							:Dict=512				,  UpperCamelCase__							:Optional[int]=2				,  UpperCamelCase__							:Any=0.02				,  UpperCamelCase__							:Optional[int]=1E-12				,  UpperCamelCase__							:str=True				,  UpperCamelCase__							:str=1				,  UpperCamelCase__							:List[Any]=0				,  UpperCamelCase__							:List[str]=2				,  **UpperCamelCase__							:Optional[Any]				,  ):
          super().__init__(pad_token_id=UpperCamelCase__				,  bos_token_id=UpperCamelCase__				,  eos_token_id=UpperCamelCase__				,  **UpperCamelCase__       )

          _a          =				vocab_size
          _a          =				max_position_embeddings
          _a          =				hidden_size
          _a          =				num_hidden_layers
          _a          =				num_attention_heads
          _a          =				intermediate_size
          _a          =				hidden_act
          _a          =				hidden_dropout_prob
          _a          =				attention_probs_dropout_prob
          _a          =				initializer_range
          _a          =				type_vocab_size
          _a          =				layer_norm_eps
          _a          =				use_cache
