
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
Consider a fly trapped inside a rectangular box with dimensions $1\times1\times2$ meters. The fly starts at one corner and ends at the diagonally opposite corner on the other end of the box. It visits each of the remaining corners exactly once. Find the maximum possible length, in meters, of its path if the fly moves in straight lines between corners.

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