
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
In the coordinate plane, there are two fixed points A and B, and a moving point P. If the product of the slopes of lines PA and PB is a constant value $m$, then the possible trajectory of point P could be: ① ellipse; ② hyperbola; ③ parabola; ④ circle; ⑤ straight line. Please fill in the correct serial numbers on the line: __________.

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