
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
On the surface of a spherical planet, there are four continents separated from each other by an ocean.

A point in the ocean is called special if there are at least three closest land points to it, and all of them are on different continents. What is the maximum number of such special points that can exist on this planet?

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