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Project Euler Solutions Added.

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Sachin Arora
2017-10-24 21:11:19 +05:30
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Project Euler/Problem 01/sol2.py Normal file
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'''
Problem Statement:
If we list all the natural numbers below 10 that are multiples of 3 or 5,
we get 3,5,6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below N.
'''
n = int(raw_input().strip())
sum = 0
terms = (n-1)/3
sum+= ((terms)*(6+(terms-1)*3))/2 #sum of an A.P.
terms = (n-1)/5
sum+= ((terms)*(10+(terms-1)*5))/2
terms = (n-1)/15
sum-= ((terms)*(30+(terms-1)*15))/2
print sum