

'''simple docstring'''





def     A_   (					_UpperCAmelCase					):







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

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

						SCREAMING_SNAKE_CASE_:				Optional[Any]							= {x for x, _ in coordinates}
						if len(_UpperCAmelCase					) == 1:
												return f"x={coordinates[0][0]}"

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

						SCREAMING_SNAKE_CASE_:				Tuple							= len(_UpperCAmelCase					)

						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(_UpperCAmelCase					)
												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(_UpperCAmelCase					) > 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]]))









import io
import json
import subprocess


lowerCAmelCase							:						Dict     			=		[
    ["""en""", """ru"""],
    ["""ru""", """en"""],
    ["""en""", """de"""],
    ["""de""", """en"""],
]

lowerCAmelCase							:						List[str]     			=		8







def     A_   (					_UpperCAmelCase       ,			_UpperCAmelCase					):
						SCREAMING_SNAKE_CASE_:				Dict							= {}
						for src, tgt in pairs:
												SCREAMING_SNAKE_CASE_:				Tuple							= f"{src}-{tgt}"
												SCREAMING_SNAKE_CASE_:				List[str]							= f"sacrebleu -t wmt19 -l {pair} --echo src".split()
												SCREAMING_SNAKE_CASE_:				int							= subprocess.run(_UpperCAmelCase       ,			stdout=subprocess.PIPE					).stdout.decode("utf-8"					).splitlines()
												SCREAMING_SNAKE_CASE_:				Optional[Any]							= f"sacrebleu -t wmt19 -l {pair} --echo ref".split()
												SCREAMING_SNAKE_CASE_:				Dict							= subprocess.run(_UpperCAmelCase       ,			stdout=subprocess.PIPE					).stdout.decode("utf-8"					).splitlines()
												SCREAMING_SNAKE_CASE_:				Tuple							= {"src": src_lines[:n_objs], "tgt": tgt_lines[:n_objs]}
						return text


lowerCAmelCase							:						Tuple     			=		get_all_data(pairs, n_objs)
lowerCAmelCase							:						Optional[Any]     			=		"""./fsmt_val_data.json"""
with io.open(filename, """w""", encoding="""utf-8""") as f:
						lowerCAmelCase							:						List[str]     			=		json.dump(text, f, indent=2, ensure_ascii=False)






