
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
Given the function $f(x) = \frac{ mx}{\ln x}$, the tangent to the curve $y=f(x)$ at the point $(e^2, f(e^2))$ is perpendicular to the line $2x+y=0$ (where $e$ is the base of the natural logarithm).

(I) Find the explicit expression for $f(x)$ and the intervals where it is monotonically decreasing;

(II) If the function $g(x) = f(x) - \frac{kx^2}{x-1}$ has no zeros, find the range of values for $k$.

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