Cupenya Full-Stack Developer interview questions

In the second interview I am asked to cook up an algorithm to compute position (m, n) in a Pascal triangle; free implementation, pseudocode is still good. Together with the company CTO, who was the interviewer in the first interview, a backend and frontend developer also joined.

Define the domain model for a system dedicated to CRUD operations on graphs, together with at least the implementation for the all-paths algorithm. The objects the system work with are all fully connected graphs. This was an home assignment with a couple of days of time. As I am a medior developer already mastering the main target language, Scala, the focus was on the abstractions and big pictures rather than the actual code. Less experienced candidates were given the same assignment but with more time, so that they could produce a fully-working prototype and explore points like persistency.