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267b5eff40
* 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()'
67 lines
1.3 KiB
Python
67 lines
1.3 KiB
Python
"""
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Problem Statement:
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If we list all the natural numbers below 10 that are multiples of 3 or 5,
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we get 3,5,6 and 9. The sum of these multiples is 23.
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Find the sum of all the multiples of 3 or 5 below N.
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"""
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from __future__ import print_function
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try:
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raw_input # Python 2
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except NameError:
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raw_input = input # Python 3
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def solution(n):
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"""
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This solution is based on the pattern that the successive numbers in the
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series follow: 0+3,+2,+1,+3,+1,+2,+3.
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Returns the sum of all the multiples of 3 or 5 below n.
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>>> solution(3)
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0
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>>> solution(4)
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3
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>>> solution(10)
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23
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>>> solution(600)
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83700
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"""
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sum = 0
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num = 0
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while 1:
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num += 3
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if num >= n:
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break
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sum += num
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num += 2
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if num >= n:
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break
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sum += num
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num += 1
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if num >= n:
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break
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sum += num
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num += 3
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if num >= n:
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break
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sum += num
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num += 1
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if num >= n:
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break
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sum += num
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num += 2
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if num >= n:
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break
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sum += num
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num += 3
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if num >= n:
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break
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sum += num
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return sum
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if __name__ == "__main__":
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print(solution(int(raw_input().strip())))
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