def calc(limit):
    return sum(map(lambda x:
            sum(map(x[0], filter(x[1], map(x[2], range(1, x[3]))))),
            [
                (
                    lambda x: 2 * sum(x) ** 2,
                    lambda x: 2 * x[0] * x[1] + 1 == (x[0] - x[1]) ** 2,
                    lambda x: (int((2 + 3 ** 0.5) * x) + 1, x),
                    int((limit / (2 + 3 ** 0.5) / 12) ** 0.5)
                ),
                (
                    lambda x: 4 * x[0],
                    lambda x: 3 * x[1] + 1 == x[0],
                    lambda x: (int((3 ** 0.5) * x + 1) ** 2, x ** 2),
                    int((limit / 12) ** 0.5)
                )
            ]))

print(calc(1000000000))