There are no CodeForces rounds coming up, so I thought I would set up a training round in the new Gym. The problems are from our local contest which I helped organize last October. We used it to select our team for the ACM-ICPC. There is a large range of problem difficulties, so I am sure everyone will have interesting problems to solve.
It will be held on Saturday, 1/28 at 8am Moscow time (4-hour contest) in the CodeForces Gym. I hope you enjoy the problems!
Update: The contest is over. Thanks for participating! If you didn't, please check out the problems anyway :) Feel free to discuss the problems in the comments below; I can outline solutions but I don't have a formal editorial.