
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
Consider 1996 lines on the plane such that any two of them intersect but no three of them pass through the same point. The lines divide the plane into regions. What is the minimum and maximum number of angular regions among these?

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