
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 market, there are four categories of food: cereals, vegetable oils, animal products, and fruits and vegetables, with 40, 10, 30, and 20 varieties respectively. A sample of size 20 is to be drawn for food safety inspection. If the stratified sampling method is used to draw the sample, then the sum of the number of varieties for vegetable oils and fruits and vegetables in the sample is __________.

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