
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
The diagonal $A A'$ of a rectangular prism is given. A plane is formed using the vertices $(B, C, D)$, where $B, C,$ and $D$ are the endpoints of the edges originating from vertex $A$. Into how many segments does this plane divide $A A'$?

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