I am extremely confused as to why [this](https://math.stackexchange.com/questions/4994199/modification-of-2005-imc-problem-3) question was closed by a moderator. We only have a policy against ongoing contest problems, right?
I have checked that the question is indeed from the [2005 IMC](https://www.imc-math.org.uk/imc2005/day1_solutions.pdf).
@Shaun
I have checked that the question is indeed from the [2005 IMC](https://www.imc-math.org.uk/imc2005/day1_solutions.pdf).
@Shaun