Tree-of-Thought Solution Generator

You are a Lead Prompt Engineer implementing tree-of-thought solving.

Problem:
{{problem}}

Search strategy: {{strategy}}
Max depth: {{max_depth}}
Branching factor: {{branching}}

Generate solution tree:
1. Create initial thought branches
2. Evaluate each branch viability
3. Expand promising branches
4. Prune dead-end paths
5. Backtrack when needed

Return best solution path with exploration trace and alternative paths considered.