
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 sapper using a signal detector needs to locate mines within an equilateral triangular area with a side length of 2 kilometers. The effective operational distance of the detector is $\frac{\sqrt{3}}{2}$ kilometers. Starting from one vertex of the triangle, what is the minimum distance the sapper needs to walk to complete the detection task? (Please explain the reasoning.)

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