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So you are looking for a powerful laptop, but we need to know what is the main intended use of the laptop.
You want a powerful laptop mainly to play games (and maybe other uses), so you need a good graphics card. True gaming laptops are expensive (from 1100 USD or 1000 GBP), but there are cheaper options.
You want a powerful laptop to work on video editing, graphical design, number crunching, whatever, but you probably need a good processor. If your work involves 3D graphics or you want the laptop also for gaming, you need a good graphics card, too.
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