1Detail the 4 core ToT operations: Thought Generation, State Evaluation (Value vs Vote prompting), Search Scheduling, and Pruning?
2Compare BFS vs DFS in ToT on Game of 24 puzzle benchmarks regarding solution quality and token budget?
3Design a self-consistent value estimation prompt instructing LLMs to output 'sure / likely / impossible' states with numeric confidence?
4How does Monte Carlo Tree Search (MCTS) extend ToT for autonomous test-time compute scaling in LLM reasoning?
5What are practical engineering pruning heuristics (dynamic beam width limits) to control exponential token costs in ToT?