Hot Air Balloon Festival Simulation

An OOP simulation OA: track balloons ascending/descending, compute additive wind speed at each balloon's altitude via a given formula, manage a stability rule (unstable above 15 m/s, regains stability after 300 s of calm), and report the stable balloons at/above the highest stable altitude. Timestamps are strictly increasing. Requirements Implement a BalloonFestival class. init(balloonNames: list[str]) — register your team's balloon names (unique). Actions on unknown names fail. balloon_ascended(timestamp, name, altitude) -> bool — balloon ascends to an altitude; stable by default, then immediately checked for wind instability. Returns False on invalid (non-increasing) timestamp or unknown balloon. balloon_descended(timestamp, name) -> bool — balloon descends to the ground; stability resets to default. False if it wasn't flying or timestamp invalid. set_wind_speed(timestamp, centerAltitude, windSpeed) -> bool — set/overwrite a wind center at an altitude; afterward all balloons are re-evaluated for stability. inspect_balloons(timestamp) -> list[str] — return the names of all stable balloons at the highest stable altitude (ties allowed), in the order names were given at init. Empty list if none. Rules: A balloon becomes unstable when total wind speed at its altitude exceeds 15 m/s. An unstable balloon regains stability only if it stays at the same altitude with total wind ≤ 15 m/s for 300 continuous seconds. Wind at altitude h from a center at centerAltitude with speed W_center: W(h) = W_center / (1 + ((h − centerAltitude) / 100)^2). Contributions from all active wind centers add. All operations have strictly increasing timestamps; a non-increasing timestamp returns False (or empty for inspect). Notes The 300-second recovery clock must reset whenever wind rises back above 15 m/s or the balloon changes altitude — track the timestamp since which conditions have been continuously safe. set_wind_speed overwrites the value at that exact center and triggers a full re-evaluation; recompute total wind per balloon from all centers. Some sittings phrase the output as "stable balloons at or above the highest stable competitor" — same mechanic, with competitor balloons included in the altitude comparison. Preparation Implement the additive wind model and the per-balloon stability state machine (stable / unstable + recovery start time) driven by the monotonic timestamps. Test the recovery-reset paths: wind dipping then re-exceeding 15, and an altitude change mid-recovery.