
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
Some factory produces three different types of products A, B, and C. The ratio of the quantities of these products is 2:3:5, respectively. Now, a stratified sampling method is used to extract a sample of size $n$. It is known that a total of 16 type A products are sampled. Therefore, the sample size $n=$ ____.

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