
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-sided polygon is drawn on the board. Peter sequentially draws diagonals inside the polygon such that each newly drawn diagonal intersects at most one of the previously drawn diagonals at internal points. What is the maximum number of diagonals Peter can draw?

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