
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
An ant starts at a vertex of a cube, walking only along the edges, until it returns to the initial vertex, without passing through any vertex more than once. What is the longest path that the ant can take?

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