I've just done it.
When you turn on or off a pillar the ones that are connected to it will change their previous state.
The key is the middle pillar. What you have to do is make sure that the middle pillar is OFF and that the ones connected to it are OFF (it has 4 connections) and the other pillars are ON. This way when you turn ON the middle pillar it will automatically turn ON 5 pillars at the same time (the 4 connected and itself).
The quest reward is poor, not really worth it. You get more from a pvp match