
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 18 technicians, 12 technical staff, and 6 engineers. It is necessary to draw a sample of size $n$ from these people. If systematic sampling and stratified sampling methods are used to draw the sample, no individuals need to be excluded; if the sample size is increased by 1, then when using systematic sampling, 1 individual needs to be excluded from the total population. Find the sample size.

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