
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]


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On the surface of a spherical planet, there are four continents separated by an ocean. We will call a point in the ocean special if there are at least three closest land points (equidistant from it), each located on different continents. What is the maximum number of special points that can be on this planet?

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