>>10965231You should be able to _understand_ the solutions if somebody shows them to you.
I wouldn't expect your average mathematician to be able to solve IMO problems quickly. They require training a very specific skillset, and that skillset isn't particularly related to actual math.
If you're a couple years into a math degree you should be able to solve the majority of problems off of easier contests like AMC/AIME. AIME isn't that hard if you have a basic grasp of techniques for solving problems.