time: float = 0.0

# Initial assignments
a = 3
b = 4
c = 5
d = 6
e = 7
f = 8
g = 9
h = 10
i = 11
j = 12
y0 = []
variable_names = []


def model(time: float, variables: tuple[float, ...]) -> tuple[float, ...]:
    return


def derived(time: float, variables: tuple[float, ...]) -> dict[str, float]:
    a: float = 3
    b: float = 4
    c: float = 5
    d: float = 6
    e: float = 7
    f: float = 8
    g: float = 9
    h: float = 10
    i: float = 11
    j: float = 12
    return {
        "a": a,
        "b": b,
        "c": c,
        "d": d,
        "e": e,
        "f": f,
        "g": g,
        "h": h,
        "i": i,
        "j": j,
    }
