
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
An insect lives on the surface of a regular octahedron with edges of length 1. It wishes to travel on the surface of the octahedron from one vertex to the directly opposite vertex. Calculate the length of the shortest such trip.

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