
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
A tetrahedron \(ABCD\) is divided into two parts by a plane parallel to \(AB\) and \(CD\). It is known that the ratio of the distance from \(AB\) to this plane to the distance from \(CD\) to the plane is \(k\). Find the ratio of the volumes of the two parts of the tetrahedron.

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