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83 lines
2.1 KiB
Python
83 lines
2.1 KiB
Python
def multiplicative_persistence(num: int) -> int:
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"""
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Return the persistence of a given number.
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https://en.wikipedia.org/wiki/Persistence_of_a_number
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>>> multiplicative_persistence(217)
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2
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>>> multiplicative_persistence(-1)
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Traceback (most recent call last):
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...
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ValueError: multiplicative_persistence() does not accept negative values
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>>> multiplicative_persistence("long number")
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Traceback (most recent call last):
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...
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ValueError: multiplicative_persistence() only accepts integral values
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"""
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if not isinstance(num, int):
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raise ValueError("multiplicative_persistence() only accepts integral values")
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if num < 0:
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raise ValueError("multiplicative_persistence() does not accept negative values")
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steps = 0
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num_string = str(num)
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while len(num_string) != 1:
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numbers = [int(i) for i in num_string]
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total = 1
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for i in range(len(numbers)):
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total *= numbers[i]
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num_string = str(total)
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steps += 1
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return steps
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def additive_persistence(num: int) -> int:
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"""
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Return the persistence of a given number.
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https://en.wikipedia.org/wiki/Persistence_of_a_number
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>>> additive_persistence(199)
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3
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>>> additive_persistence(-1)
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Traceback (most recent call last):
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...
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ValueError: additive_persistence() does not accept negative values
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>>> additive_persistence("long number")
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Traceback (most recent call last):
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...
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ValueError: additive_persistence() only accepts integral values
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"""
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if not isinstance(num, int):
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raise ValueError("additive_persistence() only accepts integral values")
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if num < 0:
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raise ValueError("additive_persistence() does not accept negative values")
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steps = 0
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num_string = str(num)
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while len(num_string) != 1:
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numbers = [int(i) for i in num_string]
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total = 0
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for i in range(len(numbers)):
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total += numbers[i]
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num_string = str(total)
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steps += 1
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return steps
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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