
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
Consider that $7^2 = 49$, which contains no zeros; $77^2 = 5929$, which contains no zeros; and $777^2 = 603,729$, which contains two zeros. Assuming this pattern continues, how many zeros are in the expansion of $77,777,777^2$?

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