
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 fault occurred in the transmission line from the substation to the Wuyang Hospital, which cannot be detected from the outside. It requires sending people to climb to the top of the utility poles for inspection. Each inspection can determine whether the fault is at the beginning, middle, or end of the line segment being inspected. If there are a total of 240 utility poles in the transmission line, and each time 2 people are sent to climb the poles, what is the maximum number of inspections needed to ensure the fault location is identified under the optimal plan?

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