Yet Another Monsters Problem

There are $N$ monsters, with the $i$-th monster having $A_i$ hitpoints. A monster is said to be alive when he has a **positive number** of hitpoints. Your job is to kill all monsters. To do this, you can do either of the following $2$ actions: - Kill a monster completely in $1$ second, i.e. choose some monster $X$ who is alive and then reduce his hitpoints to $0$. - Damage all alive monsters by