
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
On line $l$, there are 10 points $A_1$, $A_2$, $A_3$, $A_4$, $A_5$, $A_6$, $A_7$, $A_8$, $A_9$, $A_{10}$, with $A_1A_2 = A_2A_3 = A_3A_4 = \ldots = A_9A_{10}$. The total number of line segments that can be formed with these points as endpoints is     ; if the midpoints of all these line segments are marked with red dots, then there will be     red dots.

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