You press a button to toggle the state of every bulb in that column/row. You just have to see how few light bulbs you can have turned on. The game records your record low score.
I get brickwalled at 29. When there’s three in a row in every direction it’s pretty much impossible. Just as Gizmodo wrote, I think the best approach is to “brute force” the game as best as one can. Really addictive game, by the way