"math genius" not sure about it. I gave it a problem from IMO 2022. In my opinion not a very hard one. It failed even if you give it some hints.
Let R+ denote the set of positive real numbers. Find all functions f : R+ → R+ such that for each x ∈ R+, there is exactly one y ∈ R+ satisfying
xf(y) + yf(x) <= 2.
It just struggeld to reason. So I would be very surprised if the plugin somehow helps here.
Let R+ denote the set of positive real numbers. Find all functions f : R+ → R+ such that for each x ∈ R+, there is exactly one y ∈ R+ satisfying xf(y) + yf(x) <= 2.
It just struggeld to reason. So I would be very surprised if the plugin somehow helps here.