
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
During the epidemic, in order to fight against the new coronavirus and achieve victory as soon as possible, six teachers signed up for volunteer service. The community streets assigned these six teachers to assist medical staff in conducting nucleic acid testing in four neighborhoods. Each neighborhood must have at least $1$ person. Then, the number of different distribution schemes is ______. (Express the result numerically)

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