I have a question for people who know a lot of algorithms. If you see a problem and understand what algorithm you need to solve this problem, can you remember this algorithm?

Hello everyone, I've been doing sports programming for about six months. I study various basic algorithms like Binary search, DP, two pointers, etc., I write in C++, I do mathematics in depth. Can someone tell me what to do if the problems at the Olympiads and various contests don't work out anyway, is it somehow related to mathematical logic, I'm just studying Olympiad mathematics in parallel, there are the same problems. Thank you in advance!