
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
In the Cartesian coordinate system $xOy$, the parametric equation of line $l_{1}$ is $\begin{cases} x=t- \sqrt {3} \\ y=kt\end{cases}$ (where $t$ is the parameter), and the parametric equation of line $l_{2}$ is $\begin{cases} x= \sqrt {3}-m \\ y= \frac {m}{3k}\end{cases}$ (where $m$ is the parameter). Let $p$ be the intersection point of $l_{1}$ and $l_{2}$. When $k$ varies, the trajectory of $p$ is curve $C_{1}$  
(Ⅰ) Write the general equation and parametric equation of $C_{1}$;  
(Ⅱ) Establish a polar coordinate system with the origin as the pole and the positive half-axis of $x$ as the polar axis. Suppose the polar equation of curve $C_{2}$ is $p\sin (\theta+ \frac {\pi}{4})=4 \sqrt {2}$. Let $Q$ be a moving point on curve $C_{1}$, find the minimum distance from point $Q$ to $C_{2}$.

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