As a non developer your question might be better being asked at softwarerecs.stackexchange.com . StackOverflow is for programmers to discuss specific programming problems, hence why your question is deemed off-topic here — ADyson5 secs ago
I’m voting to close this question because it's not a question about programming or software engineering. Some questions about proofs of algorithms and their complexity can be on-topic here, but this is not specifically about algorithms, it's about basic methods of proof. — Paul Hankinjust now
In a previous role, I was an engineering manager for a well-known company for a particular tech stack. One way we sorted through all the applications was requiring coding tests for potential candidates. One truly stood out, and it taught me to think about what I am really looking for in these sorts of submissions.