
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
On a plane, there are 8 lines, 3 of which are parallel, and any two of the remaining five intersect. All triangles with sides lying on these lines are considered. What is the maximum and minimum number of such triangles that can be found?

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