






"""simple docstring"""



def 		_SCREAMING_SNAKE_CASE					(       __snake_case     :    list[list[int]]       ):





  '''simple docstring'''





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

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

  lowercase				       =			{x for x, _ in coordinates}
  if len(__snake_case       ) == 1:
    return f'x={coordinates[0][0]}'

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

  lowercase				       =			len(__snake_case       )

  lowercase				       =			0
  lowercase				       =			[]
  # put the x and x to the power values in a matrix
  while count_of_line < x:
    lowercase				       =			0
    lowercase				       =			coordinates[count_of_line][0]
    lowercase				       =			[]
    while count_in_line < x:
      count_line.append(a ** (x - (count_in_line + 1))       )
      count_in_line += 1
    matrix.append(__snake_case       )
    count_of_line += 1

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

  lowercase				       =			0

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

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

  lowercase				       =			0
  lowercase				       =			'f(x)='

  while count < x:
    lowercase				       =			solution[count].split('E'       )
    if len(__snake_case       ) > 1:
      lowercase				       =			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, 1_1]]))
    print(points_to_polynomial([[1, -3], [2, -6], [3, -1_1]]))
    print(points_to_polynomial([[1, 5], [2, 2], [3, 9]]))




'''simple docstring'''

from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__UpperCAmelCase												=   {'configuration_sew_d': ['SEW_D_PRETRAINED_CONFIG_ARCHIVE_MAP', 'SEWDConfig']}

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   __UpperCAmelCase												=   [
       'SEW_D_PRETRAINED_MODEL_ARCHIVE_LIST',
       'SEWDForCTC',
       'SEWDForSequenceClassification',
       'SEWDModel',
       'SEWDPreTrainedModel',
   ]

if TYPE_CHECKING:
   from .configuration_sew_d import SEW_D_PRETRAINED_CONFIG_ARCHIVE_MAP, SEWDConfig

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_sew_d import (
          SEW_D_PRETRAINED_MODEL_ARCHIVE_LIST,
          SEWDForCTC,
          SEWDForSequenceClassification,
          SEWDModel,
          SEWDPreTrainedModel,
      )


else:
   import sys

   __UpperCAmelCase												=   _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)


