
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
In a certain county with 300 villages, the villages are divided into three categories based on the average annual disposable income per person. There are 60 villages in the first category and 100 villages in the second. To investigate the living conditions of the farmers, a sample of villages is to be drawn. If the stratified sampling method is used and 3 villages are drawn from the first category, then the combined number of villages to be sampled from the second and third categories is __________.

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