
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
Several circles are positioned in the plane such that there are exactly 12 points where at least two circles intersect. What is the minimum number of regions into which these circles divide the plane?

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