
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 20 distinct points on a plane, excluding seven points that lie on the same line, no three points are collinear. Find out how many lines can be formed by pairing any two of these 20 points.

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