
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 parabola $C_{1}$: $y= \frac {1}{2p}x^{2}(p > 0)$ has its focus and the right focus of the hyperbola $C_{2}$: $ \frac {x^{2}}{3}-y^{2}=1$ connected by a line that intersects $C_{1}$ at point $M$ in the first quadrant. If the tangent line to $C_{1}$ at point $M$ is parallel to one of the asymptotes of $C_{2}$, then $p=$ ______.

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