
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 is coloring 2006 points located on a circle in 17 different colors. Then, Kolya draws chords between these points such that the ends of any chord have the same color and no two chords intersect (including not sharing endpoints). Kolya wants to draw as many chords as possible while Petya tries to prevent him. What is the maximum number of chords that Kolya can definitely draw?

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