d1versify :
Sorry guys but the one you suggested no longer exists
The time for has come to buy so if you could suggest another one.. Because i really dont understand the laptop hardware. The price can be now 500-580
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The BASICS you need to understand for your budget are basically:
1) Quality is reasonable (customer feedback comments), and
2) The GPU is sufficient (NVidia GPU recommended which is 820M or better)
3) Screen is at least 15.6" (not a dinky 13")
4) Capacity at least 250GB (probably a hard drive)
5) Windows 7 or 8 64-bit
The REST of the components are likely to then be fine. I don't recommend AMD APU's for reasons to long to discuss here (memory bandwidth bottlenecks, power consumption and per-core performance).
*Note there were some laptops with Linux or NO OS at all. You don't want those. For Win 7/8 you'll likely want to UPGRADE to Windows 10 later. I suggest waiting until it's not CRITICAL (vacation) until REGISTERING with Microsoft for your upgrade otherwise it will automatically update in August as part of Microsoft Updates (will keep your existing programs and data but you may need to REINSTALL VIDEO DRIVERS so keep this in mind if game performance drops).