
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$$f(x)= \begin{cases} \overset{-x^{2}+6x+e^{2}-5e-2,x\leq e}{x-2\ln x,x>e}\end{cases}$$ (where e is the base of the natural logarithm, and e≈2.718), if f(6-$a^{2}$)＞f(a), then the range of the real number a is \_\_\_\_\_\_.

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