
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
The partial corresponding value list of the quadratic function $y=ax^{2}+bx+c (a\neq 0, a, b, c$ are constants) is:

| $x$ | $\ldots $ | $-2$ | $-1$ | $0$ | $1$ | $2$ | $\ldots $ |
|-----|-----------|------|------|----|-----|-----|-----------|
| $y$ | $\ldots $ | $-2.5$ | $-5$ | $-2.5$ | $5$ | $17.5$ | $\ldots $ |

Find the value of the algebraic expression $16a-4b+c$.

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