
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, several points are marked, each colored blue, yellow, or green. On any segment connecting points of the same color, there are no points of that same color, but there is at least one point of a different color. What is the maximum possible number of all points?

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