
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
Two lines, neither of which is tangent to an ellipse described by the equation \(x^2 + y^2 = 1\), intersect each other and the ellipse. What is the possible number of intersection points these lines can have with the ellipse?
A) 2
B) 2 or 3
C) 2 or 4
D) 2, 3, or 4
E) 4

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