Carbon capture

 Mg-MOF-74

CALF-20

River crossing Puzzle 1

     Five people - Alice, Bob, Carlos, Diana, and Elena - must cross a river in a small boat. The boat can only hold three people at a time. The following conditions apply:

* Alice refuses to be in the boat with Carlos

* Bob and Diana must travel together if either one is in the boat

* Elena can only operate the boat when Carlos is not present

* At least one person in each crossing must know how to operate the boat

* Only Bob, Carlos, and Elena know how to operate the boat

Infer an efficient plan.

update

Opus 4.5 A*

_____________________________

Try ChatGPT o1 reasoning, verified by Claude using REACT (it works.)

Try ChatGPT 4o, failure verified by Claude

River crossing Puzzle 2

  渡河問題2 (statement)，Problem via 許元銘

結果視覺化

Visualization to verify 

update

Opus 4.5  (share) did it by reasoning

A* (share)

Gemini 3 Pro did it by reasoning

ChatGPT non Think failed ChatGPT Think led to Python gen BFS and exe

______________________________________________________________________________

ChatGPT 5 works 4/5.  (Three claimed to use Python code execution. Therefore, is it true code was generated and then executed?) 

*1 Reasoning, 

2 BFS x, validator,  BFS*

*3 Reasoning,

*4 BFS, validate, viz,

*5 BFS

Code Gen

Use ChatGPT 5 to generate BFS search

 search that works

Use Claude to generate A*

 it takes 15 steps. (thanks to the python code generated by Claude)

python code

another 15-step solution

yet another 15-step

one more 15-step

last 15-step

River crossing puzzle 3

     problem statement

update 

Opus 4.5 did it by reasoning

ChatGPT non Think failed, Opus 4.5 fix it. ChatGPT Think led to Python gen and exe

Gemini 3 Pro did it by pure reasoning

_________________________________________________________________

Why LLM may perform poorly with reasoning and planning

Code gen (Python)

code gen python A* search for ::River Crossing Puzzle ...

Python on colab

Use REACT to visualize the steps

JS

change to js

run js

use React to visualize the steps

ChatGPT 5 create BFS to solve it. 17 step solution, visualize, visualizer

ChatGPT BFS

ChatGPT BFS

If BFS option is trurned off, ChatGPT has a hard time doing it manually.

Reinforcement Learning

 Reinforcement Learning (an introduction)

RL

Follow up RL

Follow up RL 2

Follow up RL 3

Financial analysis (skill)
Financial 2 (web search)
Financial 3 (agent)

Let's learn Technical English

 

• uni- vs. mono-
• 電子系的科技英文
• 語文起源
• "百"的單字演進 (以及心，水，星星在印歐語系各語族的演進)
• 英語的起源

Challenge AI

 compute blue area

share Claude (man in the loop)

share Opus 4.5

Grok 

ChatGPT

Compute green area

Claude share, Claude  (man in the loop)

G

ChatGPT, ChatGPT

Find angle x

source

Claude man in the loop

Gemini 2.5 Pro got it right twice in a row