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1f8a21d727
* Tighten up psf/black and flake8
* Fix some tests
* Fix some E741
* Fix some E741
* updating DIRECTORY.md
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
57 lines
1.5 KiB
Python
57 lines
1.5 KiB
Python
"""
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https://projecteuler.net/problem=234
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For an integer n ≥ 4, we define the lower prime square root of n, denoted by
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lps(n), as the largest prime ≤ √n and the upper prime square root of n, ups(n),
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as the smallest prime ≥ √n.
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So, for example, lps(4) = 2 = ups(4), lps(1000) = 31, ups(1000) = 37. Let us
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call an integer n ≥ 4 semidivisible, if one of lps(n) and ups(n) divides n,
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but not both.
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The sum of the semidivisible numbers not exceeding 15 is 30, the numbers are 8,
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10 and 12. 15 is not semidivisible because it is a multiple of both lps(15) = 3
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and ups(15) = 5. As a further example, the sum of the 92 semidivisible numbers
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up to 1000 is 34825.
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What is the sum of all semidivisible numbers not exceeding 999966663333 ?
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"""
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def fib(a, b, n):
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if n == 1:
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return a
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elif n == 2:
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return b
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elif n == 3:
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return str(a) + str(b)
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temp = 0
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for x in range(2, n):
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c = str(a) + str(b)
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temp = b
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b = c
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a = temp
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return c
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def solution(n):
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"""Returns the sum of all semidivisible numbers not exceeding n."""
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semidivisible = []
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for x in range(n):
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l = [i for i in input().split()] # noqa: E741
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c2 = 1
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while 1:
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if len(fib(l[0], l[1], c2)) < int(l[2]):
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c2 += 1
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else:
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break
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semidivisible.append(fib(l[0], l[1], c2 + 1)[int(l[2]) - 1])
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return semidivisible
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if __name__ == "__main__":
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for i in solution(int(str(input()).strip())):
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print(i)
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