This will be an unusual request for a job.
I've read Fred Wilson's blog post: 'The war for talent'. I am living in Eastern Europe (Hungary) and when I read posts like that (and similar Techrunch articles) I am always wondering: I know most people in the Valley are very talented. But are they that much more talented than people in other parts of the world?
My yearly salary is $36.000. It is very good in my country. People in the valley earn $100.000 or more.
Why are most SV companies not looking for help from other countries? Do they think communication problems are so serious that it is not worth it? Or do they somehow think that there is absolutely no talent in cheaper countries?
Here is a crazy request: give me a very hard programming (algorithmic) problem. Harder what you usually ask at interviews. (I usually very easily solve interview problems at typical companies.) Give me something so hard that if I can solve it in some days you hire me as a freelancer for remote work for $50/hour. (It is a crazy amount for me, but give me a very hard problem.)
A problem can be for example something like this: Do this and this in O(nlogn) time and with O(logn) memory.
Does not matter if I will fail. I want to know: The reason I cannot earn SV-level salary is that I am not talented enough. Also I love thinking on very hard problems, I am addicted to them. (Once I was thinking about P vs. NP for a whole month. I learned tons of math during that.)
Please don't give me something which cannot be solved in 6-7 hours. I have a day job and two small children, so I can think only for 3 hours / day.
Thanks.
Second, in a startup culture early on, in my personal experience, we've had guys jam out all day and night, weekends, etc to push a product out when timing was critical. I can't honestly say I believe the same deadlines can be met with a remote team.
Finally, to be a great coder, beyond godlike programming abilities, you must have certain quality traits (too many to list here).
But per your request, here's a technical challenge we've done in the past. Find an insanely hard captcha, figure a machine learning algorithm for it to be able to read the captcha without relying on human eyes. As the mahine continues to view more and more captcha, it learns to decipher it. I will say you shouldn't do it for the purpose of breaking captchas and in some cases this is illegal but the technical problem to solve it is really good in terms of coding capabilities.