
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
A bug is trapped in a rectangular box with dimensions $1$ meter, $2$ meters, and $3$ meters. It starts at one corner, must visit each of the other corners exactly once, and return to the starting corner, traveling in straight lines. Find the maximum possible length, in meters, of its path.

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