
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 nine mozzarella cheese circles fit exactly across the diameter of a 15-inch pizza when perfectly aligned. If a total of 36 circles of cheese are placed on this pizza without overlapping, calculate the fraction of the pizza's surface that is covered by cheese.

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