
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 of length 1 km is fully illuminated by street lamps, with each lamp illuminating a section of the road 1 meter long. What is the maximum number of street lamps that can be on the road, given that if any one lamp is turned off, the road will no longer be fully illuminated?

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