
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 5 teachers who are going to lead 3 interest groups on an external learning trip. The requirement is that each interest group can have at most 2 leading teachers, but neither teacher A nor teacher B can lead a group alone. How many different leading arrangements are there? (Answer with a number)

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