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* Rename all Project Euler directories: Reason: The change was done to maintain consistency throughout the directory and to keep all directories in sorted order. Due to the above change, some config files had to be modified: 'problem_22` -> `problem_022` * Update scripts to pad zeroes in PE directories
57 lines
1.4 KiB
Python
57 lines
1.4 KiB
Python
"""
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Problem:
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The prime factors of 13195 are 5,7,13 and 29. What is the largest prime factor
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of a given number N?
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e.g. for 10, largest prime factor = 5. For 17, largest prime factor = 17.
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"""
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def solution(n: int = 600851475143) -> int:
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"""Returns the largest prime factor of a given number n.
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>>> solution(13195)
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29
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>>> solution(10)
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5
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>>> solution(17)
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17
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>>> solution(3.4)
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3
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>>> solution(0)
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Traceback (most recent call last):
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...
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ValueError: Parameter n must be greater or equal to one.
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>>> solution(-17)
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Traceback (most recent call last):
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...
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ValueError: Parameter n must be greater or equal to one.
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>>> solution([])
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Traceback (most recent call last):
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...
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TypeError: Parameter n must be int or passive of cast to int.
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>>> solution("asd")
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Traceback (most recent call last):
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...
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TypeError: Parameter n must be int or passive of cast to int.
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"""
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try:
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n = int(n)
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except (TypeError, ValueError):
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raise TypeError("Parameter n must be int or passive of cast to int.")
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if n <= 0:
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raise ValueError("Parameter n must be greater or equal to one.")
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prime = 1
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i = 2
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while i * i <= n:
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while n % i == 0:
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prime = i
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n //= i
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i += 1
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if n > 1:
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prime = n
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return int(prime)
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if __name__ == "__main__":
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print(solution(int(input().strip())))
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