u/Affectionate_Cell340

Hello everyone,
I am 17 years old student who now studies in 10th grade in Russia. Next year I go to 11th grade in Russia, but after I want to pursue my education in France. And now I am looking for a university, maybe you can help me with that.
Unfortunately I cannot go to Ecole because it requires 12 years of education and in Russia we only have 11 years of education in school, so I need to go to university.
I am interested in robotics and programming. I have been two years in my school's robotics team. One year as a participant, another year as a captain and I think next year I will be our team's coach. Also this year and next year I am having a course of competitive programming at T-bank (it's one of the largest bank companies in our country). So I hope that I will win the next year some several olympiads.
As for my languages, I have B2 in French. I will pass my exam in three days. I know English at B2 level, but I haven't proved it, I haven't took IELTS yet.
In university I am looking for opportunities not only study but also to have lots of projects like building robots, participating in student competitions, doing robotics research etc.
I am from mid-income family, so I do not think that I will be able to afford to live in Paris. I am not sure. Well, what can you recommend? I will be grateful for any advice!

I’m a high schooler and I mostly do C++ (competitive programming), but I got bored after watching a video on neural networks and decided to try building one from scratch. Since I don’t really know Python I wrote a code in probably the most inefficient way possible
I started with a super simple goal: checking if a number is even. I just assigned random weights to each digit/position, summed them up, and if the result was > 0.5, the AI "guessed" it was even. To train it, I used a genetic algorithm—basically just making 100 random "children," picking the ones that didn't suck, and mutating their weights for a few generations. It eventually figured out it should just look at the last digit.
But now I’m trying to do divisibility by 9, and I’m totally stuck.
I know the math rule is that the sum of the digits has to be divisible by 9, but I don't understand how a neural net is supposed to "discover" that using just addition and multiplication. Is it even possible for a network to learn the "sum of digits" rule just by nudging weights around?

If anyone can explain the logic/math behind how multiple layers handle this kind of non-linear stuff that would be huge.