Temperature Balance

There are $N$ chambers of water in a line. Between the $i$-th chamber and the $(i+1)$-th chamber for each $1 \le i < N$, there is a wall blocking heat from moving between the two chambers. The water in the $i$-th chamber has a temperature level of $A_i$. Additionally, it is known in advance that the sum of $A_i$ is $0$. Each second, you lift exactly one wall, letting heat move between two chamber