
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 road 1 km long is completely illuminated by streetlights, each of which illuminates a 1 m segment of the road. What is the maximum number of streetlights that can be on the road, given that if any streetlight is turned off, the road will no longer be fully illuminated?

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