Bhaag Mario Bhaag!

Mario is stuck in an alternate universe where he has to complete a game in order to escape. The game goes like this: Mario starts with a health value $H$. There are $N$ gates, numbered $1$ to $N$, in front of mario. Behind each $i^{th}$ gate ($1 \le i \le N$), there is either a good berry to increase his health or a bad berry to decrease it. The amount by which health changes in $i^{th}$ gate is