The story framing threw me off for a second.
Clarify the graph representation (directed, possibly cyclic) and define what constitutes an 'ending' (e.g., nodes with no outgoing edges). Then propose a traversal algorithm (DFS or BFS) with a visited set to handle cycles and collect all reachable terminal nodes.
Pro tip: Mention that you'd first check for cycles and decide whether to treat revisiting a node as a dead end or continue exploring; this shows you consider edge cases and real-world story graphs that may loop.
Ask questions to confirm the graph type (directed/undirected), whether cycles are possible, and how endings are defined (e.g., nodes with no outgoing edges).
Select DFS or BFS based on requirements; DFS is simpler for recursion and path tracking, while BFS can find shortest paths to endings if needed.
Use a visited set to avoid infinite loops; decide whether to mark nodes globally or per path, and explain the trade-offs.
During traversal, identify terminal nodes and add them to a result set; ensure uniqueness if multiple paths lead to the same ending.
Discuss time and space complexity (O(V+E) for traversal), and mention edge cases like empty graph, start node being an ending, or disconnected components.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.