
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 a function $f(x)= \frac{1}{3}x^{3}+ \frac{1-a}{2}x^{2}-a^{2}\ln x+a^{2}\ln a$, where $a > 0$:
(Ⅰ) When $a=1$, find the intervals of monotonicity and the extreme values of $f(x)$.
(Ⅱ) If $f(x)$ has two distinct zeroes, find the range of the real number $a$.

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