River 4 with One Daughter

 How about relaxing one of the constraints:

One daughter case

solution exits. 

Trial 1:  (Check o1 reasoning by Claude artifact using REACT), fails

Trial 2: ChatGPT o1 reasoning/ Claude verification using REACT　（Ｉｔ　ｗｏｒｋｓ．　Ｒａｒｅｌｙ．）

Trail 3: o1 

reasoning fails

Use Claude to generate A* in Python

Python code

Colab

output

Verify by visualization