
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
Given the eleven-sided regular polygon $B_1B_2B_3B_4B_5B_6B_7B_8B_9B_{10}B_{11}$, how many distinct equilateral triangles in the plane of the polygon have at least two vertices in the set $\{B_1, B_2, \ldots, B_{11}\}$?

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