
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
Fifteen points are selected on the positive $x$-axis and ten points are selected on the positive $y$-axis. The 150 segments connecting the fifteen points on the $x$-axis to the ten points on the $y$-axis are drawn. Determine the maximum possible number of points of intersection of these 150 segments that could lie in the interior of the first quadrant.

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