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"""

Project Euler Problem 2: https://projecteuler.net/problem=2

Even Fibonacci Numbers

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

four million, find the sum of the even-valued terms.

References:

- https://en.wikipedia.org/wiki/Fibonacci_number

"""

def solution(n: int = 4000000) -> int:

"""

Returns the sum of all even fibonacci sequence elements that are lower

or equal to n.

>>> solution(10)

>>> solution(15)

>>> solution(2)

>>> solution(1)

>>> solution(34)

"""

fib = [0, 1]

i = 0

while fib[i] <= n:

fib.append(fib[i] + fib[i + 1])

if fib[i + 2] > n:

break

i += 1

total = 0

for j in range(len(fib) - 1):

if fib[j] % 2 == 0:

total += fib[j]

return total

if __name__ == "__main__":

print(f"{solution() = }")

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