
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
During a physics class, the teacher brought out a 1-meter long wire, which has a break somewhere that prevents it from conducting electricity (this break is not visible from the outside). How can you quickly locate the fault? It would be quite troublesome to check the wire segment by segment. Think about it, what is the most reasonable way to work? To narrow down the location of the break to about 3-4 centimeters, how many times do you need to check?

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