Python/project_euler/problem_02/sol2.py

46 lines
1012 B
Python
Raw Normal View History

"""
Problem:
Each new term in the Fibonacci sequence is generated by adding the previous two
terms. By starting with 1 and 2, the first 10 terms will be:
1,2,3,5,8,13,21,34,55,89,..
By considering the terms in the Fibonacci sequence whose values do not exceed
n, find the sum of the even-valued terms. e.g. for n=10, we have {2,8}, sum is
10.
"""
from __future__ import print_function
try:
raw_input # Python 2
except NameError:
raw_input = input # Python 3
def solution(n):
"""Returns the sum of all fibonacci sequence even elements that are lower
or equals to n.
>>> solution(10)
[2, 8]
>>> solution(15)
[2, 8]
>>> solution(2)
[2]
>>> solution(1)
[]
>>> solution(34)
[2, 8, 34]
2019-02-09 16:59:43 +00:00
"""
ls = []
a, b = 0, 1
while b <= n:
2019-02-09 16:59:43 +00:00
if b % 2 == 0:
ls.append(b)
a, b = b, a + b
2019-02-09 16:59:43 +00:00
return ls
2018-10-19 12:48:28 +00:00
if __name__ == "__main__":
print(solution(int(raw_input().strip())))