01
Given a directed weighted graph, how would you compute the cheapest valid path under an additional state or constraint?
What to show: Practise shortest-path modelling, deciding what belongs in the state, complexity analysis, and unreachable cases.
02
A sequence can be processed one item at a time or in paid batches that reveal the next k items. Find the minimum total cost.
What to show: Practise turning choices over a prefix into dynamic programming and proving the recurrence.
03
An AI assistant rarely mentions a known brand for high-intent category queries. How would you diagnose whether the issue is content availability, authority, retrieval, model behaviour, or user fit?
What to show: Build a measurable issue tree before proposing features; name the data required for each branch.
04
Design a dashboard that tells a brand how visible and accurately represented it is across AI agents without encouraging manipulation.
What to show: Define the user, data collection method, visibility/accuracy metrics, benchmark, UI journey, and ethical safeguards.
05
Your prototype improves brand mentions but sometimes produces unsupported claims. Would you ship it?
What to show: Discuss evaluation thresholds, citations, abstention, human review, monitoring, rollback, and the trade-off between reach and trust.
06
The judge says your idea is just an API wrapper. What proprietary learning loop or defensible workflow makes it a product?
What to show: Explain unique data, feedback, integration depth, evaluation, switching costs, and why the chosen experience solves a real job.