Laptop recommendation

My 12 year old little sister has just recently been converted to the glorious pc master race.

The system she is currently running is my mums ancient work computer which has no expansion possibilities.
I have talked to her about building her own desktop but she really wants the portability of a laptop so what you gonna do.

Now, I've been out of the portable gaming scene for a long time so I'm gonna need some help finding a good fit. 


The laptop should be:


- relatively small/light

- good graphics capabilities (shes not expecting to be running Crysis 3 on ultra tho)

- decent battery time

available in Norway (gonna need that æ ø å)


 And all this with a budget of about 600- 700 USD.