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defmultiplicative_persistence(num: int) ->int:
"""
Return the persistence of a given number.
https://en.wikipedia.org/wiki/Persistence_of_a_number
>>> multiplicative_persistence(217)
2
>>> 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
"""
ifnotisinstance(num, int):
raiseValueError("multiplicative_persistence() only accepts integral values")
ifnum<0:
raiseValueError("multiplicative_persistence() does not accept negative values")
steps=0
num_string=str(num)
whilelen(num_string) !=1:
numbers= [int(i) foriinnum_string]
total=1
foriinrange(0, len(numbers)):
total*=numbers[i]
num_string=str(total)
steps+=1
returnsteps
defadditive_persistence(num: int) ->int:
"""
Return the persistence of a given number.
https://en.wikipedia.org/wiki/Persistence_of_a_number
>>> additive_persistence(199)
3
>>> 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
"""
ifnotisinstance(num, int):
raiseValueError("additive_persistence() only accepts integral values")
ifnum<0:
raiseValueError("additive_persistence() does not accept negative values")
steps=0
num_string=str(num)
whilelen(num_string) !=1:
numbers= [int(i) foriinnum_string]
total=0
foriinrange(0, len(numbers)):
total+=numbers[i]
num_string=str(total)
steps+=1
returnsteps
if__name__=="__main__":
importdoctest
doctest.testmod()