3317. Find the Number of Possible Ways for an Event

You are given three integers n, x, and y. An event is being held for n performers. When a performer arrives, they are assigned to one of the x stages. All performers assigned to the same stage will perform together as a band, though some stages might remain empty. After all performances are completed, the jury will award each band a score in the range [1, y]. Return the total number of possible