graph TB
    subgraph "Cloud Infrastructure (Instructor)"
        VM[Cloud Virtual Machine]
        Docker[Docker Container]
        Uvicorn[Uvicorn / SSE Server]
        CalcTool[Calculator Logic]
        
        VM --> Docker
        Docker --> Uvicorn
        Uvicorn --> CalcTool
    end

    subgraph "Student Machine"
        VSCode[VS Code + Continue]
        LLM[Local LLM / Ollama]
        NB[01_math_agent.ipynb]
    end

    VSCode -- "HTTP-SSE / Port 8080" --> Uvicorn
    NB -- "Standard Logic" --> OpenAI[OpenAI / API]

sequenceDiagram
    participant S as Student (VS Code)
    participant C as Cloud server (VM)
    participant T as Calculator Tool

    S->>C: GET /sse (Connect)
    C-->>S: SSE Stream Opened
    S->>C: POST /sse?sessionId=... (Initialize)
    C-->>S: JSON-RPC (Capabilites & ServerInfo)
    S->>C: POST /sse (tools/call: calculate)
    C->>T: eval(expression)
    T-->>C: Result (e.g., "42")
    C-->>S: JSON-RPC Result
    S->>S: Display "The answer is 42."

mcpServers:
  - name: cloud-calc
    type: sse
    url: http://<YOUR-VM-PUBLIC-IP>:8080/sse

experimental:
  autoExecuteTools: true