
from __future__ import annotations


def  A			(   lowercase       ,			lowercase       ,			lowercase       ,			)  ->    list[float | int]:
		'''simple docstring'''

		if not all((nth_term, start_term_a, common_ratio_r)					):
				return []
		UpperCamelCase            =	[]
		UpperCamelCase            =	1
		UpperCamelCase            =	common_ratio_r
		for _ in range(int(lowercase					)					):
				if not series:
						series.append(lowercase					)
				else:
						power += 1
						series.append(float(start_term_a * multiple					)					)
						UpperCamelCase            =	pow(float(lowercase					)       ,			lowercase					)
		return series


if __name__ == "__main__":
					import doctest

					doctest.testmod()

					_UpperCAmelCase   :					List[str]    =			float(input("Enter the last number (n term) of the Geometric Series"))
					_UpperCAmelCase   :					int    =			float(input("Enter the starting term (a) of the Geometric Series"))
					_UpperCAmelCase   :					List[str]    =			float(
					    input("Enter the common ratio between two terms (r) of the Geometric Series")
					)
					print("Formula of Geometric Series => a + ar + ar^2 ... +ar^n")
					print(geometric_series(nth_term, start_term_a, common_ratio_r))


def  A			(   lowercase					)  ->    int:
		'''simple docstring'''

		barcode //= 10  # exclude the last digit
		UpperCamelCase            =	False
		UpperCamelCase            =	0

		# extract and check each digit
		while barcode != 0:
				UpperCamelCase            =	1 if checker else 3
				s += mult * (barcode % 10)
				barcode //= 10
				UpperCamelCase            =	not checker

		return (10 - (s % 10)) % 10


def  A			(   lowercase					)  ->    bool:
		'''simple docstring'''

		return len(str(lowercase					)					) == 13 and get_check_digit(lowercase					) == barcode % 10


def  A			(   lowercase					)  ->    int:
		'''simple docstring'''

		if str(lowercase					).isalpha():
				UpperCamelCase            =	f'''Barcode \'{barcode}\' has alphabetic characters.'''
				raise ValueError(lowercase					)
		elif int(lowercase					) < 0:
				raise ValueError('The entered barcode has a negative value. Try again.'					)
		else:
				return int(lowercase					)


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					_UpperCAmelCase   :					List[str]    =			get_barcode(input("Barcode: ").strip())

					if is_valid(barcode):
										print(F'''\'{barcode}\' is a valid barcode.''')
					else:
										print(F'''\'{barcode}\' is NOT a valid barcode.''')
