
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
Let's call a point inside a triangle a good point if the three cevians passing through it are equal. In triangle \(ABC\), sides \(AB\) and \(BC\) are equal, and the number of good points is odd. What could it be equal to?

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