
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 twelve girls met in a cafe and ate an average of \(1 \frac{1}{2}\) cupcakes each, two of them ate no cupcakes at all, and none ate more than two cupcakes, determine the number of girls who ate two cupcakes.

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