
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
Given a sequence $\{a_n\}$, for any $k \in \mathbb{N}^*$, when $n = 3k$, $a_n = a_{\frac{n}{3}}$; when $n \neq 3k$, $a_n = n$. Find the term number of the 10th occurrence of 2 in this sequence.

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