
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
Several points, including points \( A \) and \( B \), are marked on a line. We consider all possible segments with endpoints at the marked points. Vasya counted that point \( A \) is inside 40 of these segments, and point \( B \) is inside 42 segments. How many points were marked? (The endpoints of a segment are not considered its internal points.)

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