
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 $f(x)= \begin{cases}-x^{2}+ax & (x\leqslant 1) \\ a^{2}x-7a+14 & (x > 1)\end{cases}$, if there exist $x_{1}$, $x_{2}\in R$, and $x_{1}\neq x_{2}$ such that $f(x_{1})=f(x_{2})$, then the range of values for the real number $a$ is _____.

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