This question evaluates understanding of binary tree traversal techniques and algorithmic reasoning for producing per-depth left and right views, assessing competencies in data structures, traversal ordering, and correctness across edge cases.
Given a binary tree, output the left view and right view: for each depth, the first node visible from the left and the first node visible from the right. Implement two solutions: (a) a BFS level-order traversal; and (b) a DFS with depth tracking. Provide time and space complexity for both approaches. Dry-run your logic on edge cases including an empty tree, a single-node tree, skewed (left/right) trees, and balanced trees to verify ordering of nodes per level.