
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
In the number \(2 \_ 0 \_ 1 \_ 6 \_ 0 \_ 2 \_\), each of the 6 stars needs to be replaced with any of the digits \(1, 2, 3, 4, 5, 6, 7, 8, 9\) (digits can be repeated) so that the resulting 12-digit number is divisible by 18. How many ways can this be done?

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