What laptop should I buy to play minimum requirements of League?

So I'm heading off to college, and I want to be able to play league of legends on a cheap, lightweight laptop (so that I can do my work, and keep up with friends). I'd like a laptop with a 14" display or smaller, preferably under $400, that can play league of legends. I won't be sad if the graphics aren't great, or if I have to put the game on the "low" settings, but I just want to be able to play it. I don't have the money for a nice computer. Can you think of any laptops that fit this description? If not, feel free to leave a suggestion that is close to what I'm looking for. Thank you, TeeRoyX