[panic]

Can you give an example of an "IQ requiring task"? I'd buy that there are programs you can't write without the proper background knowledge, but I don't understand what IQ has to do with any of this.

[BurningFrog]

On one hand IQ is pretty much a measure of general problem solving ability. The higher your IQ, the better you will solve most kind of problems.

On the other hand, that's an average. Most anyone can solve any individual problem once.

[Klockan]

Write a sensible search engine for the web with 1995 knowledge.

[umanwizard]

Write "hello world" with IQ 0. (E.g., Terry Schiavo)

Apply the Intermediate Value Theorem to this example, as needed.

[TheCoelacanth]

First you have to prove that the relationship between IQ and performance on writing "hello world" is continuous, otherwise IVT doesn't apply.