You did not reveal your country but for 350 Euros this fits.
http://www.amazon.com/Best-Sellers-Electronics-Laptop-Computers/zgbs/electronics/565108
The current #1 is http://www.amazon.com/Toshiba-Satellite-C55-C5241-Laptop-Intel/dp/B010SBAJDS/ref=zg_bs_565108_1 which was 450USD or 400 Euros.
Maybe the i3 will cut the price but later you can change the HDD to SSD for an upgrade.

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