Events and Budgets

There is tech fest being organised in Apeejay Stya University ,and Asuian have a fixed budget allocated for that and they want to organise $E$ events such that Asuian get maximum paricipation from various college. Asuian have been alloted a budget $B$, and they have $N$ events where each event has some cost $c$ associated with it, and it would bring $p$ participation in the university They are t