
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 a two-dimensional space, the one-dimensional measure (circumference) $l=2\pi r$, and the two-dimensional measure (area) $S=\pi r^2$, it is observed that $S'=l$; in a three-dimensional space, the two-dimensional measure (surface area) $S=4\pi r^2$, and the three-dimensional measure (volume) $V=\frac{4}{3}\pi r^3$, it is observed that $V'=S$. Given that in a four-dimensional space, the "hypersphere's" three-dimensional measure $V=8\pi r^3$, guess its four-dimensional measure $W=\boxed{\_\_\_\_\_\_}$.

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