
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
A convex 2011-gon is drawn on the board. Petya consecutively draws diagonals in it such that each newly drawn diagonal intersects at most one of the previously drawn diagonals at an interior point. What is the maximum number of diagonals Petya can draw?

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