I got the BFS/DFS part working fine but then they asked me to drop the visited set entirely and encode state directly into the input.
Start by clarifying the problem and choosing a concrete traversal example that naturally combines BFS and DFS. Then walk through the O(N) solution, identify where extra space is used, and explain how to eliminate it by reusing the input structure or marking visited states in-place. Finally, discuss trade-offs and edge cases.
Pro tip: Explicitly state that in-place marking changes the input and may require restoring it or using a sentinel value; this shows you consider production constraints and data integrity.
Ask about input size, mutability, and whether the graph/tree can be modified. Confirm the expected output and any space/time constraints.
Explain how BFS and DFS work together, e.g., BFS for level-order exploration and DFS for deep path checks, and outline the O(N) space solution.
Point out that the visited set or queue/stack contributes O(N) space. Discuss which structures can be eliminated or repurposed.
Describe in-place marking techniques: for trees, use null pointers or modify node values; for graphs, use the adjacency matrix or swap elements. Explain how to detect visited states without extra memory.
Discuss the impact on input data, potential need for restoration, and how the approach handles cycles, disconnected components, and large inputs.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.