Unfortunately, I have found out that the checker for problem E of Codeforces Educational Round 189 did not correctly verify the case when a circle does not cover any points. I am very sorry for this issue — I was not the person writing that checker, but proofreading it and fixing all of the bugs is my responsibility as the coordinator of the round, and I failed.
After discussing the issue with authors and analyzing the submissions, I have decided that dropping the constraint from the statement altogether, without any changes to verdicts during the round is the best course of action: the amount of changes in the scoreboard, compared to the situation if checker were working correctly, is negligible (perhaps even zero).
The problem statement will be updated accordingly in about $$$10$$$ or $$$15$$$ minutes.
I once again would like to apologize for not checking everything enough times, and I hope the decision I've made ensures that the minimum possible number of people are affected by this bug in checker.








