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Rename Project Euler directories and other dependent changes (#3300)
* Rename all Project Euler directories: Reason: The change was done to maintain consistency throughout the directory and to keep all directories in sorted order. Due to the above change, some config files had to be modified: 'problem_22` -> `problem_022` * Update scripts to pad zeroes in PE directories
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46
project_euler/problem_002/sol5.py
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46
project_euler/problem_002/sol5.py
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@ -0,0 +1,46 @@
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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: int = 4000000) -> int:
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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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fib = [0, 1]
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i = 0
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while fib[i] <= n:
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fib.append(fib[i] + fib[i + 1])
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if fib[i + 2] > n:
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break
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i += 1
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total = 0
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for j in range(len(fib) - 1):
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if fib[j] % 2 == 0:
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total += fib[j]
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return total
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if __name__ == "__main__":
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print(solution(int(input().strip())))
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