
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 2020 streetlights on the road, numbered from 1 to 2020. To save electricity, 300 of these lights need to be turned off, but no two adjacent lights can be turned off at the same time, and the lights at both ends cannot be turned off. In how many ways can the lights be turned off, satisfying these conditions? (Express the answer using combination notation)

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