
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 $f(x)=a\ln x+ \frac {1}{2}x^{2}-ax$ (where $a$ is a constant).
- (I) Discuss the monotonicity of $f(x)$;
- (II) If $f(x)$ has two extreme points, denoted as $x_{1}$ and $x_{2}$, and the inequality $f(x_{1})+f(x_{2}) < \lambda(x_{1}+x_{2})$ always holds, find the minimum value of $\lambda$.

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