
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 $\{M_1, M_2, \dots, M_{200}\}$ are distinct. All lines $M_{5n}$, where $n$ is a positive integer, are parallel to each other. All lines $M_{5n-4}$, where $n$ is a positive integer, pass through a given point $B$. Calculate the maximum number of points of intersection among these lines.
A) 18000
B) 18341
C) 18500
D) 19000

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