
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
Suppose $p$: The function $f(x)=x^{3}-3x-a$ has a zero point in $x\in\left[-\frac{1}{2},\sqrt{3}\right]$; $q$: $a > 0$, and the function $g(x)=x^{2}-a\ln x$ is a decreasing function in the interval $\left(0,\frac{a}{2}\right)$. If only one of $p$ and $q$ is true, find the range of values for the real number $a$.

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