
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
Line $l_{1}$ is parallel to line $l_{2}$. There are 5 distinct points on $l_{1}$ and 10 distinct points on $l_{2}$. Line segments are formed by connecting the points on $l_{1}$ to the points on $l_{2}$. If no three line segments intersect at the same point, then the total number of intersection points among these line segments is $\qquad$. (Provide a specific number as the answer)

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