
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
Edge \( AB \) of tetrahedron \( ABCD \) is the diagonal of the base of a quadrilateral pyramid. Edge \( CD \) is parallel to the other diagonal of this base, and its ends lie on the lateral edges of the pyramid. Find the smallest possible volume of the pyramid if the volume of the tetrahedron is \( V \).

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