



"""simple docstring"""

def    __snake_case       (  __A			:	list[list[int]]    )    ->					Any:






				'''simple docstring'''







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

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

				SCREAMING_SNAKE_CASE	:       Optional[Any] 							=    {x for x, _ in coordinates}
				if len(__A    ) == 1:
								return F"""x={coordinates[0][0]}"""

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

				SCREAMING_SNAKE_CASE	:       Tuple 							=    len(__A    )

				SCREAMING_SNAKE_CASE	:       int 							=    0
				SCREAMING_SNAKE_CASE	:       list[list[float]] 							=    []
				# put the x and x to the power values in a matrix
				while count_of_line < x:
								SCREAMING_SNAKE_CASE	:       Any 							=    0
								SCREAMING_SNAKE_CASE	:       Dict 							=    coordinates[count_of_line][0]
								SCREAMING_SNAKE_CASE	:       list[float] 							=    []
								while count_in_line < x:
												count_line.append(a ** (x - (count_in_line + 1))    )
												count_in_line += 1
								matrix.append(__A    )
								count_of_line += 1

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

				SCREAMING_SNAKE_CASE	:       str 							=    0

				while count < x:
								SCREAMING_SNAKE_CASE	:       int 							=    0
								while zahlen < x:
												if count == zahlen:
																zahlen += 1
												if zahlen == x:
																break
												SCREAMING_SNAKE_CASE	:       Optional[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

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

				SCREAMING_SNAKE_CASE	:       Optional[int] 							=    0
				SCREAMING_SNAKE_CASE	:       Any 							=    'f(x)='

				while count < x:
								SCREAMING_SNAKE_CASE	:       list[str] 							=    solution[count].split('E'    )
								if len(__A    ) > 1:
												SCREAMING_SNAKE_CASE	:       Union[str, 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"""

import platform
from argparse import ArgumentParser

import huggingface_hub
import pandas
import pyarrow

from datasets import __version__ as version
from datasets.commands import BaseDatasetsCLICommand
def    __snake_case       (  __A			:	Union[str, Any]    )    ->					Tuple:






				'''simple docstring'''
				return EnvironmentCommand()







class 						lowerCAmelCase__	(  _lowerCamelCase   ):


	'''simple docstring'''







	@staticmethod
	def  _lowerCAmelCase    (			_SCREAMING_SNAKE_CASE							:					ArgumentParser						)	->  str:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE	:       int 							=    parser.add_parser('env'    ,					help='Print relevant system environment info.'						)
					download_parser.set_defaults(func=_SCREAMING_SNAKE_CASE						)





	def  _lowerCAmelCase    (			self							:					Optional[int]						)	->  Optional[int]:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE	:       int 							=    {
					    '`datasets` version': version,
					    'Platform': platform.platform(),
					    'Python version': platform.python_version(),
					    'Huggingface_hub version': huggingface_hub.__version__,
					    'PyArrow version': pyarrow.__version__,
					    'Pandas version': pandas.__version__,
					}

					print('\nCopy-and-paste the text below in your GitHub issue.\n'						)
					print(self.format_dict(_SCREAMING_SNAKE_CASE						)						)

					return info







	@staticmethod
	def  _lowerCAmelCase    (			_SCREAMING_SNAKE_CASE							:					Optional[Any]						)	->  List[Any]:





					"""simple docstring"""


					return "\n".join([f"""- {prop}: {val}""" for prop, val in d.items()]						) + "\n"





