
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
During a break in a summer camp, three students made judgments about where Ms. Hu was from based on her accent:

- Student A said that Ms. Hu was not from Shanghai, but from Fuzhou;
- Student B said that Ms. Hu was not from Fuzhou, but from Nanchang;
- Student C said that Ms. Hu was neither from Fuzhou nor from Guangzhou.

After hearing the judgments of the three students, Ms. Hu smiled and said that among the three of them, one was completely right, one was half right, and the other was completely wrong. From this, we can infer that the correct guesses are:

         ①. Ms. Hu might be from Nanchang

         ②. Ms. Hu might be from Guangzhou

         ③. Ms. Hu might be from Fuzhou

         ④. Ms. Hu might be from Shanghai

Present the answer in LaTex format: \boxed{Your answer}
user