




'''simple docstring'''





from __future__ import annotations





def UpperCAmelCase    (       UpperCAmelCase_						):
    _a				:							int
    _a				:							list[str]							       =      list(UpperCAmelCase_						)
    _a       , _a				:							List[Any]							       =      _vector[:-1], int(_vector[-1]						)
    _a				:							list[int]							       =      [int(UpperCAmelCase_						) for digit in __vector]

    vector.reverse()
    for i, digit in enumerate(UpperCAmelCase_						):
        if i & 1 == 0:
            _a				:							int							       =      digit * 2
            if doubled > 9:
                doubled -= 9
            check_digit += doubled
        else:
            check_digit += digit

    return check_digit % 10 == 0


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  assert is_luhn('''79927398713''')
  assert not is_luhn('''79927398714''')








'''simple docstring'''





from __future__ import annotations

# Define the Gravitational Constant G and the function
a		:	Union[str, Any]       =      6.6743e-11  # unit of G : m^3 * kg^-1 * s^-2





def UpperCAmelCase    (       UpperCAmelCase_   ,	UpperCAmelCase_   ,	UpperCAmelCase_   ,	UpperCAmelCase_						):
    _a				:							Dict							       =      mass_a * mass_a

    if (force, mass_a, mass_a, distance).count(0						) != 1:
        raise ValueError("""One and only one argument must be 0"""						)
    if force < 0:
        raise ValueError("""Gravitational force can not be negative"""						)
    if distance < 0:
        raise ValueError("""Distance can not be negative"""						)
    if mass_a < 0 or mass_a < 0:
        raise ValueError("""Mass can not be negative"""						)
    if force == 0:
        _a				:							Optional[int]							       =      GRAVITATIONAL_CONSTANT * product_of_mass / (distance**2)
        return {"force": force}
    elif mass_a == 0:
        _a				:							Any							       =      (force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
        return {"mass_1": mass_a}
    elif mass_a == 0:
        _a				:							Union[str, Any]							       =      (force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
        return {"mass_2": mass_a}
    elif distance == 0:
        _a				:							Optional[Any]							       =      (GRAVITATIONAL_CONSTANT * product_of_mass / (force)) ** 0.5
        return {"distance": distance}
    raise ValueError("""One and only one argument must be 0"""						)


# Run doctest
if __name__ == "__main__":
  import doctest

  doctest.testmod()


