
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 2006 points on a circumference. A student named Peijia colors these points using 17 different colors. Then, another student named Keliya draws chords between some of these points such that the endpoints of each chord have the same color, and no two chords intersect (including at endpoints). If Keliya tries to draw as many such chords as possible while Peijia tries to obstruct Keliya as much as possible, what is the maximum number of chords that Keliya can draw?

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