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snake_case all the things
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17
project_euler/problem_01/sol1.py
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17
project_euler/problem_01/sol1.py
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'''
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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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n = int(raw_input().strip())
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sum=0
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for a in range(3,n):
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if(a%3==0 or a%5==0):
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sum+=a
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print(sum)
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20
project_euler/problem_01/sol2.py
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project_euler/problem_01/sol2.py
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'''
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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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n = int(raw_input().strip())
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sum = 0
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terms = (n-1)//3
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sum+= ((terms)*(6+(terms-1)*3))//2 #sum of an A.P.
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terms = (n-1)//5
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sum+= ((terms)*(10+(terms-1)*5))//2
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terms = (n-1)//15
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sum-= ((terms)*(30+(terms-1)*15))//2
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print(sum)
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50
project_euler/problem_01/sol3.py
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50
project_euler/problem_01/sol3.py
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from __future__ import print_function
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'''
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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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'''
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This solution is based on the pattern that the successive numbers in the series follow: 0+3,+2,+1,+3,+1,+2,+3.
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'''
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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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n = int(raw_input().strip())
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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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print(sum);
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30
project_euler/problem_01/sol4.py
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30
project_euler/problem_01/sol4.py
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def mulitples(limit):
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xmulti = []
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zmulti = []
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z = 3
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x = 5
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temp = 1
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while True:
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result = z * temp
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if (result < limit):
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zmulti.append(result)
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temp += 1
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else:
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temp = 1
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break
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while True:
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result = x * temp
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if (result < limit):
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xmulti.append(result)
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temp += 1
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else:
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break
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collection = list(set(xmulti+zmulti))
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return (sum(collection))
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print (mulitples(1000))
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