
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 parabola $y^{2}=2px (p > 0)$, there is a point $M(1,y)$ on the parabola, and the distance from point $M$ to the focus $F$ is $\frac{17}{16}$.
(1) Find the value of $p$;
(2) If the circle $(x-a)^{2}+y^{2}=1$ intersects with the parabola $C$, determine the range of real number $a$ values with the help of the graph.

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