
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
There are four excellent students A, B, C, and D who have been recommended for admission to Peking University, Tsinghua University, and Fudan University, with each university receiving at least one student. Calculate the total number of different admission schemes.

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