
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 two sets of points in a plane. The sum of the connecting lines between the groups is 66, and the number of connecting lines between the points is 136. How many points are there in each group?

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