
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 $f(x)= \frac {1}{3}x^{3}- \frac {a}{2}x^{2}+2x+1$, $x_{1}$, $x_{2}$ are two extreme points of $f(x)$, and $0 < x_{1} < 1 < x_{2} < 3$, then the range of the real number $a$ is ______.

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