
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
Let  $d_1$  and  $d_2$  be parallel lines in the plane. We are marking  $11$  black points on  $d_1$ , and  $16$  white points on  $d_2$ . We are drawing the segments connecting black points with white points. Find the maximum number of points of intersection of these segments that lies between the parallel lines (excluding the intersection points on the lines).

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