
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
Two students from a class are preparing to sign up for the independent recruitment exams of Zhejiang University, Fudan University, and Shanghai Jiao Tong University. The requirement is for each student to choose up to two universities but at least one university. How many different registration results are possible?

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