
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
High school has 2 liberal arts classes and 3 science classes. If one student from each class is designated to inspect the hygiene of a different class, and students from liberal arts classes do not inspect their own classes and students from science classes do not inspect their own classes, calculate the total number of different arrangements.

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