No messing about, this challenge is hard. If you try to solve it yourself without the solution, good luck. Well maybe you can but if so, you might be a genius.
Now I'm not saying you won't get most of the squares, just going off the cuff. You might get 60, 61, 62 squares. But there is a narrow path, a very precise strategy. If you make even one wrong move, you can't fix it. Like an actual game, if you mess up the opening, you may last another 40 moves but ultimately you're doomed.
You'll have fun trying to crack the code on you're own. And like I say, if you're some kind of prodigy, maybe you might even do it. On the other hand you could just cast an eye on this image for the solution.