i3-4010U? I used that for gaming for a few months while saving money for my PC, and it was complete and utter garbage. The damn thing struggled to run even Fallout:New Vegas at the lowest possible settings, of course that was with integrated graphics, but you could still tell that the CPU was causing severe lag in certain parts, like when particle effects started, or wind was blowing dirt up, it would lag pretty hard. I'm almost thinking the 3rd gen i3 will be better due to it's higher clock speed, while clock speed isn't everything, 1.7GHz is pretty damn pathetic in this day and age.
Of course, now you get to choose between being bottlenecked by the 4010u, or by the 710m, both are quite bad. Are there any other laptops you're interested in within your budget range? If so, post em' here for us to look over.
Edit😡the guy above me
Yes, the 4010U will bottleneck even a lowly 820m. That CPU is completely worthless, at least for gaming, IMHO.
I recommend staying as far away as possible from the 4010U, don't even touch it with a 10 foot pole.