
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. All possible segments with endpoints at the marked points are considered. Vasya counted that point \(A\) is inside 50 of these segments, and point \(B\) is inside 56 of these 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