
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
20 points are positioned on a circle. These 20 points are pairwise connected by 10 chords, such that no chords share endpoints and no chords intersect.

In how many ways can this be done?

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