
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 street lamps, and to save electricity, three of them are turned off. However, the two at the ends must not be turned off, and no two consecutive lamps should be off. Calculate the number of ways to do this.

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