2026年2月24日 星期二

Chain of Thought

HW#1 Use AI Professionally

 

建議工具

使用 Claude Sonnet 4.6 推理模式(手動切換,免費用戶額定時間內只能使用三次)

使用 ChatGPT 5 推理模式(自動切換)

使用 Gemini 3.0 Pro 免費額度最高 1M tokens (永遠推理模式)

使用 Grok 4 推理模式(自動切換)


課堂練習 

Deadline: This Saturday at 23:59

Send all the share links to  me chang212@gmail.com by email with subject HW#1  [your id, your name]

How to publish a Claude artifact

How to share a ChatGPT link

How to share a Grok link

How to share Gemini Link


Content share 作業繳交格式

  • share only link, pure text, markdown (md)
  • no attachments accepted, no html, screen dump, or png
  • non-compliant homework will be rejected and returned to you


任選一題



1. 

(a) Solve River Puzzles  (Pz 3Pz 20) by Chain of Thought and Visualize the process

(b) Verify each step not violating constraints and correctness.


2. Comparing LLMs: Claude 4.6, Gemini 3.0 Pro, ChatGPT 5.0 (三選二) for the following task.

Animate in 3d (in three.js) Yagi-Uda Antenna, AI pipe inspector, or things you choose. (擇一)

The animation must be scientifically accurate


3. With the following circuit and its Bode plot


textbook approximations








Think about the prompt used to generate the Bode plot. Why there is level off at high frequencies?



Hints

  • Reasoning/Think/Extended Thinking Mode of the AI platform you use may be required for all the problems here
  • Pz 3 solutions on various platforms
  • Experiments on Pz 20 

River Crossing 20

 problem

manual solution with self correction

BFS Complexities

When Manual Goes Wrong

animation 3d

Chain of Thought, Animation of thoughts, not solution

(包含問題分析、每個嘗試的死路、突破點、逐階段的約束驗證,以及最後的最優性證明和經驗總結。)



2026年2月20日 星期五