
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 unit has 6 engineers, 12 technicians, and 18 workers. A sample of size $n$ is to be drawn from these people. If systematic sampling and stratified sampling methods are used, there is no need to exclude any individual. If the sample size is increased by 1, then in systematic sampling, it is necessary to first exclude an individual from the population. The value of $n$ is $\boxed{6}$.

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