
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 of a circle (circumference $l=2\pi r$) and its two-dimensional measure (area $S=\pi r^{2}$); in a three-dimensional space, the two-dimensional measure of a sphere (surface area $S=4\pi r^{2}$) and its three-dimensional measure (volume $V= \dfrac {4}{3}\pi r^{3}$); in a four-dimensional space, the three-dimensional measure of a "hypersphere" ($V=8\pi r^{3}$), then it is conjectured that its four-dimensional measure $W=$ ______.

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