
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 arranged on a circle in 17 colors. Then Kolya draws chords with endpoints at the marked points such that the endpoints of any chord are of the same color and no two chords intersect (including their endpoints). Kolya wants to draw as many chords as possible, while Petya tries to interfere with him. What is the maximum number of chords that Kolya can be guaranteed to draw?

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