
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 circle. Petra uses 17 different colors to color these points. Then, Kolya draws chords with endpoints among these 2006 points such that each chord has endpoints of the same color and no two chords intersect (including endpoints). Kolya tries to draw as many such chords as possible, while Petra tries to obstruct Kolya. What is the maximum number of chords that Kolya can draw?

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