Good luck! When I went 5 years ago it wasn't uncommon for them to put extra students up in little camp beds in the shared rooms until they got a permanent room sorted. And don't worry if you get given a shared room, they're horrible but in every situation I knew about in my block, one of the two people went crazy and dropped out, leaving the remaining person with an extra huge room, a bed for friends/relative staying over etc. It definitely wasn't too late when I applied anyway.