
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
Petya colors 2006 points, located on a circle, in 17 colors. Then Kolya draws chords with endpoints on the marked points such that the endpoints of any chord are of the same color and the chords do not intersect (including at endpoints). Kolya wants to draw as many chords as possible, while Petya tries to hinder him. What is the maximum number of chords Kolya can definitely draw?

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