
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
A department dispatches 4 researchers to 3 schools to investigate the current status of the senior year review and preparation for exams, requiring at least one researcher to be sent to each school. Calculate the number of different distribution schemes.

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