
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
Given that outstanding graduates from three universities, $A$, $B$, and $C$, two from each, are arranged to go to three middle schools to carry out promotional activities, with each school having two graduates from different universities, calculate the total number of different arrangement plans.

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