Welcome to your interview.
The question is on your right: Detect Dependency Cycles. Take a moment with it first.
Talk your thinking through with me if you like - when you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes). Discussion and graded submissions share your five interviewer interactions, so spend them well.
Given a graph of services and dependencies, detect whether a deployment will introduce a cycle and return a valid build order if possible.