
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 functions $f(x)=x+a\ln x (a\in R), g(x)= \frac {e^{x-1}}{x}-1$.
(I) If the line $y=0$ is tangent to the graph of $y=f(x)$, find the value of $a$.
(II) If $a > 0$, and for all $x_{1}, x_{2}\in[3,+\infty) (x_{1}\neq x_{2})$, we have $|f(x_{1})-f(x_{2})| < |g(x_{1})-g(x_{2})|$, find the range of values for the real number $a$.

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