The actual algorithm wasn't the hard part, I had that in a few minutes.
Start by clarifying the problem and constraints, then present a clean recursive solution with O(n) time and O(h) space, and finally walk through comprehensive test cases including edge cases. Emphasize the trade-offs between recursive and iterative approaches and how you would validate correctness.
Pro tip: Mention that you would also test with a large tree to ensure no stack overflow in recursion, and discuss converting to an iterative BFS/DFS if needed for production robustness.
Ask about input format, tree node definition, and any constraints like maximum depth or memory limits. Confirm whether the tree is binary and if null nodes are represented explicitly.
Propose a recursive depth-first search: max depth = 1 + max(depth(left), depth(right)). Discuss time and space complexity and alternative iterative approaches.
Write clean code with proper base case (null node returns 0) and recursive calls. Handle edge cases like empty tree and single node naturally.
Create tests for empty tree, single node, skewed tree (left/right), balanced tree, and a larger tree. Include expected outputs and consider using a testing framework.
Compare recursive vs iterative solutions in terms of readability, stack usage, and performance. Mention potential optimizations or variations.
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