
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
Proposition $p$: The solution set of the inequality $x^{2}+(a-1)x+a^{2} < 0$ regarding $x$ is an empty set. Proposition $q$: Given the quadratic function $f(x)=x^{2}-mx+2$ satisfies $f( \frac {3}{2}+x)=f( \frac {3}{2}-x)$, and its maximum value is $2$ when $x \in [0,a]$. If the proposition "$p$ and $q$" is false, while "$p$ or $q$" is true, find the range of the real number $a$.

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