
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
On a plane, there are 100 points marked such that no three of them lie on the same straight line. Some pairs of points are connected by segments. It is known that no three segments form a triangle. What is the maximum number of segments that could be drawn?

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