
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
In the quadratic function $y=ax^{2}+bx+c$, the corresponding values of the function $y$ and the independent variable $x$ are shown in the table below:

| $x$ | $\ldots $ | $-1$ | $0$ | $1$ | $2$ | $3$ | $\ldots $ |
|-----|-----------|------|-----|-----|-----|-----|-----------|
| $y$ | $\ldots $ | $4$  | $0$ | $n$ | $m$ | $4$ | $\ldots $ |

Then, when $y \lt 0$, the range of values for $x$ is ______.

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