
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
Given that a school has 6 grades in elementary school with 6 classes per grade, 3 grades in junior high with 8 classes per grade, and 3 grades in high school with 12 classes per grade, calculate the number of classes selected from each grade in junior high for a survey study with 36 classes selected in total, such that the proportion of classes selected from each type of grade is the same.

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