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def multiplicative_persistence(num: int) -> int:

"""

Return the persistence of a given number.

https://en.wikipedia.org/wiki/Persistence_of_a_number

>>> multiplicative_persistence(217)

>>> multiplicative_persistence(-1)

Traceback (most recent call last):

...

ValueError: multiplicative_persistence() does not accept negative values

>>> multiplicative_persistence("long number")

Traceback (most recent call last):

...

ValueError: multiplicative_persistence() only accepts integral values

"""

if not isinstance(num, int):

raise ValueError("multiplicative_persistence() only accepts integral values")

if num < 0:

raise ValueError("multiplicative_persistence() does not accept negative values")

steps = 0

num_string = str(num)

while len(num_string) != 1:

numbers = [int(i) for i in num_string]

total = 1

for i in range(len(numbers)):

total *= numbers[i]

num_string = str(total)

steps += 1

return steps

def additive_persistence(num: int) -> int:

"""

Return the persistence of a given number.

https://en.wikipedia.org/wiki/Persistence_of_a_number

>>> additive_persistence(199)

>>> additive_persistence(-1)

Traceback (most recent call last):

...

ValueError: additive_persistence() does not accept negative values

>>> additive_persistence("long number")

Traceback (most recent call last):

...

ValueError: additive_persistence() only accepts integral values

"""

if not isinstance(num, int):

raise ValueError("additive_persistence() only accepts integral values")

if num < 0:

raise ValueError("additive_persistence() does not accept negative values")

steps = 0

num_string = str(num)

while len(num_string) != 1:

numbers = [int(i) for i in num_string]

total = 0

for i in range(len(numbers)):

total += numbers[i]

num_string = str(total)

steps += 1

return steps

if __name__ == "__main__":

import doctest

doctest.testmod()

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