
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, 28 points are divided into two groups; after drawing all the connecting lines within each group, we find that the number of lines in one group is 81 more than in the other. How many points are there in each group?

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