




def       _SCREAMING_SNAKE_CASE      (							lowercase     :	float     ,							lowercase     :	list[float]					):


      '''simple docstring'''



      if discount_rate < 0:
            raise ValueError('Discount rate cannot be negative'					)
      if not cash_flows:
            raise ValueError('Cash flows list cannot be empty'					)
      lowerCamelCase_							=   sum(
          cash_flow / ((1 + discount_rate) ** i) for i, cash_flow in enumerate(lowercase					)					)
      return round(lowercase     ,							ndigits=2					)


if __name__ == "__main__":
    import doctest

    doctest.testmod()









import math

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	int					):


      '''simple docstring'''



      lowerCamelCase_							=   0
      lowerCamelCase_							=   0
      while num > 0:
            lowerCamelCase_							=   num % 8
            lowerCamelCase_							=   octal + (remainder * math.floor(math.pow(10     ,							lowercase					)					))
            counter += 1
            lowerCamelCase_							=   math.floor(num / 8					)  # basically /= 8 without remainder if any
            # This formatting removes trailing '.0' from `octal`.
      return f"""0o{int(lowercase					)}"""

def       _SCREAMING_SNAKE_CASE      (							):


      '''simple docstring'''



      print('\n2 in octal is:'					)
      print(decimal_to_octal(2					)					)  # = 2
      print('\n8 in octal is:'					)
      print(decimal_to_octal(8					)					)  # = 10
      print('\n65 in octal is:'					)
      print(decimal_to_octal(65					)					)  # = 101
      print('\n216 in octal is:'					)
      print(decimal_to_octal(2_16					)					)  # = 330
      print('\n512 in octal is:'					)
      print(decimal_to_octal(5_12					)					)  # = 1000
      print('\n'					)


if __name__ == "__main__":
 main()



