
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
Suppose that the number of research personnel in groups A, B, and C are 12, 18, and m, respectively. A stratified sampling method is used to select n people from these three groups to form a scientific research team. If 3 people are selected from group B and 4 people are selected from group C, find the values of m and n.

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