
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 fly trapped inside a cubical box with a side length of $1$ meter, find the maximum possible length of its path as it visits each corner of the box, starting and ending in the same corner and passing through every other corner exactly once.

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