
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 6 × 6 × 4 rectangular parallelepiped has vertices P, Q, and R adjacent to vertex S. The coordinates of S are at (0, 0, 0), and the coordinates of P, Q, and R are (6, 0, 0), (0, 6, 0), and (0, 0, 4) respectively. Find the perpendicular distance from vertex S to the plane containing vertices P, Q, and R.

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