
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 prism with dimensions $1$ meter, $2$ meters, and $3$ meters decides to tour the corners of the box. It starts from the corner $(0,0,0)$ and ends at the corner $(0,0,3)$, visiting each of the other corners exactly once. Determine the maximum possible length, in meters, of its path assuming that it moves in straight lines.
A) $\sqrt{14} + 4 + \sqrt{13} + \sqrt{5}$
B) $\sqrt{14} + 4 + \sqrt{5} + \sqrt{10}$
C) $2\sqrt{14} + 4 + 2$
D) $\sqrt{14} + 6 + \sqrt{13} + 1$
E) $\sqrt{14} + 6 + \sqrt{13} + \sqrt{5}$

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