
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
In a rural road, there are 12 streetlights. In order to save electricity, it is required to turn off 4 streetlights in pairs that are not adjacent to each other. However, for the safety of pedestrians traveling at night, the streetlights at both ends cannot be turned off. The number of ways to turn off the streetlights is ______. (Provide your answer as a number)

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