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"""
Project Euler Problem 2: Even Fibonacci Numbers
===============================================
.. module:: solutions.problem2
:synopsis: My solution to problem #2.
The source code for this problem can be
`found here <https://bitbucket.org/nekedome/project-euler/src/master/solutions/problem2.py>`_.
Problem Statement
#################
Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with :math:`1` and
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:math:`2`, the first :math:`10` terms will be:
:math:`1, 2, 3, 5, 8, 13, 21, 34, 55, 89, \\dots`
By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the
even-valued terms.
Solution Discussion
###################
Simply iterate over the Fibonacci numbers up to four million and sum all the even ones.
Solution Implementation
#######################
.. literalinclude:: ../../solutions/problem2.py
:language: python
:lines: 34-
from itertools import takewhile
from lib.numbertheory import is_even
from lib.sequence import Fibonaccis
def solve():
""" Compute the answer to Project Euler's problem #2 """
upper_bound = 4000000
numbers = [fib_i for fib_i in takewhile(lambda x: x <= upper_bound, Fibonaccis()) if is_even(fib_i)]
answer = sum(numbers)
return answer
expected_answer = 4613732
expected_answer
(([A-Z_][A-Z0-9_]*)|(__.*__))$
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