



'''simple docstring'''





def 	a_					(							_lowerCAmelCase	)				->				str:
  if len(_lowerCAmelCase	) == 0 or not all(len(_lowerCAmelCase	) == 2 for pair in coordinates	):
    raise ValueError('The program cannot work out a fitting polynomial.'	)

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

  __lowerCamelCase	:	str   	=			{x for x, _ in coordinates}
  if len(_lowerCAmelCase	) == 1:
    return F'x={coordinates[0][0]}'

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

  __lowerCamelCase	:	Any   	=			len(_lowerCAmelCase	)

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

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

  __lowerCamelCase	:	List[str]   	=			0

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

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

  __lowerCamelCase	:	List[Any]   	=			0
  __lowerCamelCase	:	List[str]   	=			'f(x)='

  while count < x:
    __lowerCamelCase	:	list[str]   	=			solution[count].split('E'	)
    if len(_lowerCAmelCase	) > 1:
      __lowerCamelCase	:	str   	=			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'''





def 	a_					(							_lowerCAmelCase	,_lowerCAmelCase	)				->				int:
  # The longer word should come first
  if len(_lowerCAmelCase	) < len(_lowerCAmelCase	):
    return levenshtein_distance(_lowerCAmelCase	,_lowerCAmelCase	)

  if len(_lowerCAmelCase	) == 0:
    return len(_lowerCAmelCase	)

  __lowerCamelCase	:	int   	=			list(range(len(_lowerCAmelCase	) + 1	)	)

  for i, ca in enumerate(_lowerCAmelCase	):
    __lowerCamelCase	:	Union[str, Any]   	=			[i + 1]

    for j, ca in enumerate(_lowerCAmelCase	):
      # Calculate insertions, deletions and substitutions
      __lowerCamelCase	:	Any   	=			previous_row[j + 1] + 1
      __lowerCamelCase	:	int   	=			current_row[j] + 1
      __lowerCamelCase	:	Any   	=			previous_row[j] + (ca != ca)

      # Get the minimum to append to the current row
      current_row.append(min(_lowerCAmelCase	,_lowerCAmelCase	,_lowerCAmelCase	)	)

    # Store the previous row
    __lowerCamelCase	:	Optional[int]   	=			current_row

  # Returns the last element (distance)
  return previous_row[-1]


if __name__ == "__main__":
   _UpperCamelCase							    =						input('Enter the first word:\n').strip()
   _UpperCamelCase							    =						input('Enter the second word:\n').strip()

   _UpperCamelCase							    =						levenshtein_distance(first_word, second_word)
   print(f'''Levenshtein distance between {first_word} and {second_word} is {result}''')






