
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 10 lamps numbered 1, 2, 3, ..., 10 on the road. You need to turn off three of them, but you cannot turn off two or three adjacent lamps, nor can you turn off the lamps at both ends. How many ways are there to meet the condition?

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