[SomeStupidPoint]

They're not the limiting factor in practice, but the limit behavior of the algorithm -- how it behaves on an arbitrary length stream -- can overflow count for a fixed length counter and if you use arbitrary precision, it's no longer bounded memory. So again, you've failed to supply a memory bounded algorithm that handles the arbitrary case (but won't admit it).

Again, I'm aware of how to solve it in practice and that the problem as stated is not what you meant, I was pointing out that as stated, it didn't have a memory bounded solution.

And that it's commom for people to self-assuredly misdefine interview problems, then not understand when the interviewee points out their implicit assumption.