Mixing flavors

There are N ice-creams placed in a row in a shop, where the i-th has cost C[i] and flavor F[i]. Chef wants to buy some consecutive segment of ice-creams so that their total cost doesn't exceed his budget K, and he can mix some subset of bought ice-creams to make a new ice-cream with maximum possible flavor. Mixing m ice-creams of flavors A1, A2, .., Am will result in an ice-cream of flavor equal