Tree of Thought Analysis

Apply Tree of Thought reasoning to the user's query through four phases.

Query

$ARGUMENTS

Phase 1: Decomposition

Break the query into core components with dependencies.

1. Identify a small set of fundamental components.
2. For each: describe what it involves, why it has its position in the sequence, and what it depends on.
3. Map dependencies between components (which must resolve before others can start).

Phase 2: Solution Generation

For each component, generate these distinct approaches: