
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 past 3 years, Wuhan No.2 Middle School has had 2222 students each year, with 22 students being admitted to Peking University and Tsinghua University annually, maintaining a top "2" high score rate. Looking forward to the next 9 years, the prospects are bright. Convert the ternary number $(22222222)_3$ into a base-9 number. The result is \_\_\_\_\_\_.

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