Power just came back on, but it has been on and off this morning. It might also have screwed the router (but I have a spare). I will post when I can.
Power cuts appear to have stuffed up the old router. I have a backup router, which I am using for now. I need to get more of an idea about the status of the old router later, though, but I will do so when I am dressed. We keep all of the internet equipment in the garage, which is not joined to the house.