I went straight to BFS because keeping track of the last (or first) node per level felt clean and obvious.
Start by clarifying the problem: the right-side view is the last node at each depth, and the left-side view is the first node at each depth. Then present a level-order BFS solution that processes nodes level by level, capturing the first and last nodes per level. Finally, compare it with a depth-first approach that tracks the first and last node seen at each depth, discussing tradeoffs in time, space, and code complexity.
Pro tip: Mention that both approaches are O(n) time, but BFS uses O(width) space while DFS uses O(height) space; for a balanced tree, BFS is O(n) space, whereas DFS is O(log n). This shows you understand practical memory implications.
Confirm that the right-side view consists of the rightmost node at each depth, and the left-side view consists of the leftmost node at each depth. Ask if the tree can be empty or if nodes have unique values.
Use a queue to perform level-order traversal. For each level, record the first node's value for the left view and the last node's value for the right view. Continue until the queue is empty.
Use preorder traversal (root, left, right) to capture the left view by recording the first node seen at each depth. For the right view, use a modified preorder (root, right, left) to record the first node seen at each depth.
Discuss time complexity: both are O(n). Space: BFS uses O(width) for the queue, DFS uses O(height) for the call stack. Mention that BFS naturally gives level-by-level access, while DFS may be more memory-efficient for deep, narrow trees.
State that both approaches are valid, and the choice depends on the tree shape and memory constraints. Emphasize that DFS can be more space-efficient for balanced trees, while BFS is simpler to reason about for level-based views.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.