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added solution 7 for problem_01 (#1416)
* added solution 7 for problem_01 * added solution 5 for problem_02
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project_euler/problem_01/sol7.py
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project_euler/problem_01/sol7.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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def solution(n):
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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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result = 0
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for i in range(n):
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if i % 3 == 0:
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result += i
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elif i % 5 == 0:
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result += i
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return result
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if __name__ == "__main__":
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print(solution(int(input().strip())))
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46
project_euler/problem_02/sol5.py
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project_euler/problem_02/sol5.py
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"""
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Problem:
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Each new term in the Fibonacci sequence is generated by adding the previous two
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terms. By starting with 1 and 2, the first 10 terms will be:
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1,2,3,5,8,13,21,34,55,89,..
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By considering the terms in the Fibonacci sequence whose values do not exceed
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n, find the sum of the even-valued terms. e.g. for n=10, we have {2,8}, sum is
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10.
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"""
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def solution(n):
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"""Returns the sum of all fibonacci sequence even elements that are lower
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or equals to n.
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>>> solution(10)
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10
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>>> solution(15)
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10
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>>> solution(2)
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2
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>>> solution(1)
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0
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>>> solution(34)
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44
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"""
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a = [0,1]
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i = 0
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while a[i] <= n:
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a.append(a[i] + a[i+1])
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if a[i+2] > n:
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break
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i += 1
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sum = 0
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for j in range(len(a) - 1):
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if a[j] % 2 == 0:
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sum += a[j]
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return sum
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if __name__ == "__main__":
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print(solution(int(input().strip())))
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