
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
Suppose that the lines \(l_1\) and \(l_2\) are parallel, and on \(l_1\) and \(l_2\) there are 10 points \(A_1, A_2, \dots, A_{10}\) and \(B_1, B_2, \dots, B_{10}\), respectively. The line segments \(A_1 B_1, A_2 B_2, \dots, A_{10} B_{10}\) can divide the strip-shaped area enclosed by \(l_1\) and \(l_2\) into at most how many non-overlapping regions?

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