
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 partial correspondence between the function values $y$ and the independent variable $x$ in the quadratic function $y = ax^{2} + bx + c$ as shown in the table below:

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

If points $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$ are on the graph of the function, then when $1 < x_{1} < 2$ and $3 < x_{2} < 4$, the relationship between $y_{1}$ and $y_{2}$ is ____.

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