
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
In a plane, drawing 1 line can divide the plane into 2 parts; drawing 2 lines can divide the plane into at most 4 parts; drawing 3 lines can divide the plane into at most 7 parts; drawing 4 lines can divide the plane into at most 11 parts; ... Following this pattern, calculate how many parts at most can 2004 lines divide the plane into.

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