
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 fly trapped inside a rectangular box with dimensions $2$ meters, $1$ meter, and $1$ meter decides to challenge itself by visiting each corner of the box. It will begin at one corner and end at the diagonally opposite corner while visiting each of the other corners exactly once. To get from a corner to any other corner, it will either fly or crawl in a straight line, preferring the longest possible path at each move. What is the maximum possible length, in meters, of its path?

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