
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
There are 2019 points in space, with no four points being coplanar. These points are divided into 30 groups, with each group containing a different number of points. From any three different groups, one point is selected from each to form a triangle. To maximize the number of such triangles, how many points should be in each group?

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