throwaway-ai-ai

Many IMO geometry problems involves proving things like:

these three points are on one line

these three lines intersect at one point

these two lines are parallel

these four points are on a circle

these two angles are equal

etc ...

There are things that absolutely can be done via coordinates, if one can brute force large algebraic expressions.

Suppose your assertion about this problem being easy was true.

Most research papers in Math / Theoretical CS are < 50 pages, while many IMO problems have solutions > 1 page. So it's only a factor of 50 "more complex."

Then, we should be able to encode open problems / conjectures in Math / Theoretical CS into Lean, run this brute fore approach, and have it start auto generating new publications.

To the best of my knowledge, no one has done this yet.

I would guess that a computer beats humans on the IMO before a computer beats humans on the IOI/ICPC -- but also think that the latter would have far greater impact.

> Until AI can create an Angular application with a .Net Core Azure back-end that meets ever-changing customer requirements ("can we remove the need for Bootstrap 4? Can we make the integration with Active Directory seamless?") on short notice, not very soon at all!

I think you are arguing for "Not all programming tasks that can be automated away by a bot that can win IOI / ICPC."

However, what I'm asking is: "Does there exist 10% of programming that can be automated away by a bot that can win IOI / ICPC" ?

Furthermore, I think you are also assuming that human programmers remain static, while the AI has to be a 'drop in replacement for humans.' On the other hand, if we look at AWS -- AWS didn't build some AI that is a drop in replacement for sys admin work. AWS built their own API, humans adapted to it.

It seems to me that in a world where such an IOI/ICPC winning bot existed, programmers would adapt to it (just as programmers have adapted to AWS), by figuring out "how can I leverage this API so that I don't have to hire someone to do FOOBAR"

I'm curious: what are people's predictions for when it will be possible to run some program XYZ on a $10/hr EC2 machine and have it beat humans on the IOI/ICPC ?

Furthermore, suppose such an open source program existed, how long would it take for it to start replacing remote contractors and then in-office programmers? ["start replacing" as in, say, 10% of human programmers]