MacBook Pro late 2013 not charging

Hello guys!

Well, I'm having a problem with my laptop. (MacBook Pro late 2013, 15" 2.3 GHz, 16 GB ram etc) Today, my battery went down to 3% and I connected it to its charger but it does not do anything. No light at all and of course no charging. As far as I can remember, before it died it did not show "Not charging" instead of the battery percentage or anything. Tried removing the long cable and using the short one but still nothing. Tried different outlets, nothing. I read on the internet multiple suggestions and tried most of them (its dead so I can not do anything software related). Tried cleaning the MagSafe, turning it upside down, warming up the charger a little, still nothing. The complicated things are: I live in Greece (no apple stores), so i cannot just go to the genius bar to get it checked. It probably is the charger, but it might as well be a problem with the device itself, and I cannot just buy another charger to try it since they are expensive. By the way, once a few months ago, the charger got really hot and did not work at all until it cooled down a little. Any other advice?