
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 \( L_1, L_2, \dots, L_{150} \) are distinct. Lines \( L_{6n} \) for \( n \) a positive integer, are perpendicular to each other. All lines \( L_{6n-1} \) for \( n \) a positive integer, pass through a specific point \( B \). How many total points of intersection arise?
A) 10870
B) 10876
C) 10900
D) 11000
E) 11500

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