
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 that $A\left(\frac{1}{2}, y_{1}\right)$, $B\left(0, y_{2}\right)$, $C\left(-1, y_{3}\right)$ are three points on the parabola $y=ax^{2}+bx+c\left(0 < 2a < b\right)$, the relationship between $y_{1}$, $y_{2}$, and $y_{3}$ is ______.

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