Thank you for taking part, I called it Lesson 0-warm-up.
It can be added that programmers can also work on improving existing systems or solving technical problems.
So that programmers face different challenges and work on different aspects of programming. It should be added that work
a programmer is not only writing code, but also interacting with other team members
"It would be nice to thoroughly learn one language before moving on to another." - This is true, because often young programming geniuses have grasped the superficial basics of the language and switch to another. And it is very important to master one well, and then, if necessary, switch to others.
"but he should have a very strong background in advanced mathematics" I wouldn't say that, you can say that a programmer doesn't always need mathematics, unless he is a developer
3D-games and something specifically mathematical.
No one has answered the main question yet, some have only touched on it. Although the answer is in my text about this contest.