
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
Lines \(L_1, L_2, \dots, L_{50}\) are distinct. Lines \(L_{3n}\), where \(n\) is a positive integer, are parallel to each other. All lines \(L_{3n-2}\), where \(n\) is a positive integer, pass through a given point \(B\). The maximum number of points of intersection of pairs of lines from the complete set \(\{L_1, L_2, \dots, L_{50}\}\) is sought.
A) 544
B) 555
C) 665
D) 675

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