import math

time: float = 0.0

# Initial assignments
P2 = -0.379948962255225
P3 = math.tanh(time)
P4 = -math.tanh(time)
P1 = 0.291312612451591
y0 = []
variable_names = []


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


def derived(time: float, variables: tuple[float, ...]) -> dict[str, float]:
    P2: float = -0.379948962255225
    P3: float = math.tanh(time)
    P4: float = -math.tanh(time)
    return {
        "P2": P2,
        "P3": P3,
        "P4": P4,
    }
