
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 travels from vertex \( A \) to vertex \( B \) on a cube with edges of length 1 meter. The insect can travel in exactly one and only one of the following ways:

- Crawl along the edges of the cube (it crawls at 5 meters per minute along edges)
- Crawl along the faces of the cube (it crawls at 4 meters per minute along faces)
- Fly through the interior of the cube (it flies at 3 meters per minute along any path through the interior of the cube)

What is the shortest possible time, in minutes, that the insect can take to get from \( A \) to \( B \)?

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