
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
If six teachers visit the homes of three students, with each student being visited by at least one teacher, and each teacher visiting only one student, and Teacher A does not visit Student 1 due to proximity, determine the number of ways to arrange this.

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