
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 20 points distributed on a circle. Using 10 chords that do not share common endpoints and do not intersect with each other, how many different ways can these points be connected?

(13th Moscow Olympiad problem)

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