
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 $p$: "A moving straight line $l$ passing through the fixed point $(0,1)$ always has two distinct common points with the ellipse $x^{2}+ \frac{y^{2}}{a}=1$"; $q$: "The function $f(x)= \frac{1}{3}x^{3}+ax^{2}+2ax+1$ has an extreme value on $R$"; if the proposition "$p$ and $q$" is false, and "$p$ or $q$" 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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