
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 a convex polygon with \( n \) sides, where no two diagonals are parallel and no three diagonals intersect at the same point, find the total number of intersection points of the diagonals outside the polygon.

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