The tree DP clicked pretty fast once I stopped thinking about it as a graph problem.
First, clarify the problem constraints and assumptions, such as whether node costs are positive and if the tree is static. Then, propose an efficient algorithm like depth-first search with dynamic programming to compute the minimum latency path, and discuss how to prune the tree in-place or by constructing a new pruned tree.
Pro tip: Mention that for large graphs, an iterative DFS avoids stack overflow, and consider parallelizing the search across branches if the tree is wide, leveraging NVIDIA's GPU strengths.
Ask about node cost properties (e.g., non-negative), tree size, memory limits, and whether pruning should modify the original tree or create a new one.
Use DFS with memoization to compute the minimum cost from each node to a leaf, then backtrack to identify the optimal path.
Traverse the tree again, removing any child not on the optimal path, either by updating pointers or marking nodes for deletion.
Discuss time and space complexity (O(N) time, O(H) space for recursion), and compare iterative vs recursive approaches.
Address large trees, negative costs (if allowed), and potential parallelization; handle empty tree or single-node tree.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.