mirror of
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f438440ac5
* Added doctest and more explanation about Dijkstra execution. * tests were not passing with python2 due to missing __init__.py file at number_theory folder * Removed the dot at the beginning of the imported modules names because 'python3 -m doctest -v data_structures/hashing/*.py' and 'python3 -m doctest -v data_structures/stacks/*.py' were failing not finding hash_table.py and stack.py modules. * Moved global code to main scope and added doctest for project euler problems 1 to 14. * Added test case for negative input. * Changed N variable to do not use end of line scape because in case there is a space after it the script will break making it much more error prone. * Added problems description and doctests to the ones that were missing. Limited line length to 79 and executed python black over all scripts. * Changed the way files are loaded to support pytest call. * Added __init__.py to problems to make them modules and allow pytest execution. * Added project_euler folder to test units execution * Changed 'os.path.split(os.path.realpath(__file__))' to 'os.path.dirname()' * Added Burrows-Wheeler transform algorithm. * Added changes suggested by cclauss * Fixes for issue 'Fix the LGTM issues #1024'. * Added doctest for different parameter types and negative values. * Fixed doctest issue added at last commit.
56 lines
1.5 KiB
Python
56 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()]
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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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