
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
There are seven street lamps numbered 1, 2, 3, 4, 5, 6, and 7. Only three lamps are lit at night, and any two lit lamps are not adjacent. Calculate the number of different lighting schemes.

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