



def 					_lowerCAmelCase   (     A__:	List[Any]		):


    '''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.'''		)

    UpperCAmelCase     =    {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.'''		)

    UpperCAmelCase     =    len(lowercase_		)

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

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

    UpperCAmelCase     =    0

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

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

    UpperCAmelCase     =    0
    UpperCAmelCase     =    '''f(x)='''

    while count < x:
        UpperCAmelCase     =    solution[count].split('''E'''		)
        if len(lowercase_		) > 1:
            UpperCAmelCase     =    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]]))







from collections import OrderedDict
from typing import Mapping

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfig
from ...utils import logging


lowerCamelCase_    =					logging.get_logger(__name__)

lowerCamelCase_    =					{
    '''google/rembert''': '''https://huggingface.co/google/rembert/resolve/main/config.json''',
    # See all RemBERT models at https://huggingface.co/models?filter=rembert
}







class  __lowerCamelCase				(	__snake_case	):
      lowerCamelCase_	:      Tuple          =					'rembert'







      def __init__(     self							,  lowerCamelCase=250300							,  lowerCamelCase=1152							,  lowerCamelCase=32							,  lowerCamelCase=18							,  lowerCamelCase=256							,  lowerCamelCase=1664							,  lowerCamelCase=4608							,  lowerCamelCase="gelu"							,  lowerCamelCase=0.0							,  lowerCamelCase=0.0							,  lowerCamelCase=0.1							,  lowerCamelCase=512							,  lowerCamelCase=2							,  lowerCamelCase=0.02							,  lowerCamelCase=1e-12							,  lowerCamelCase=True							,  lowerCamelCase=0							,  lowerCamelCase=312							,  lowerCamelCase=313							,  **lowerCamelCase							,  )						->       Union[str, Any]:
        super().__init__(pad_token_id=lowerCamelCase							,  bos_token_id=lowerCamelCase							,  eos_token_id=lowerCamelCase							,  **lowerCamelCase   )

        snake_case_       						=      vocab_size
        snake_case_       						=      input_embedding_size
        snake_case_       						=      output_embedding_size
        snake_case_       						=      max_position_embeddings
        snake_case_       						=      hidden_size
        snake_case_       						=      num_hidden_layers
        snake_case_       						=      num_attention_heads
        snake_case_       						=      intermediate_size
        snake_case_       						=      hidden_act
        snake_case_       						=      hidden_dropout_prob
        snake_case_       						=      attention_probs_dropout_prob
        snake_case_       						=      classifier_dropout_prob
        snake_case_       						=      initializer_range
        snake_case_       						=      type_vocab_size
        snake_case_       						=      layer_norm_eps
        snake_case_       						=      use_cache
        snake_case_       						=      False







class  __lowerCamelCase				(	__snake_case	):







      @property
      def 	lowerCAmelCase_    (     self   )						->       Mapping[str, Mapping[int, str]]:
        if self.task == "multiple-choice":
          snake_case_       						=      {0: """batch""", 1: """choice""", 2: """sequence"""}
        else:
          snake_case_       						=      {0: """batch""", 1: """sequence"""}
        return OrderedDict(
            [
                ("""input_ids""", dynamic_axis),
                ("""attention_mask""", dynamic_axis),
                ("""token_type_ids""", dynamic_axis),
            ]   )







      @property
      def 	lowerCAmelCase_    (     self   )						->       float:
        return 1e-4