
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 $999,\!999,\!999^3$, a number with 9 repeated digits of 9 raised to the power of 3. Based on an observed pattern that $n$ 9's raised to the power of 2 results in $n-1$ zeros after any non-zero digits, predict how many zeros are in the expansion of $999,\!999,\!999^3$.

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