Many Korean cafes have a special corner just for phone charging. Chances are the wires are already provided, so just plug in, but keep an eye on it! Otherwise, don’t hesitate to ask the cashier to charge your phone for you.
You can also walk into any telco store (LG, SK or KT) and ask them to help you charge your phone. By right, they only serve their own customers, but if you are a foreigner, they might make an exception.
Some locals prefer to carry a spare battery or battery pack so that they can leave that at the charging point, instead of their valuable smartphone.
One thing that is really annoying about Korean power points is that if you are using a multi-country travel adaptor, it is likely to fall right off the wall. Instead, get a Korean adaptor for about $10 at Artbox (outlets in Gangnam, Times Square).
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