
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, the general equation of curve $C_{1}$ is $\frac{x^{2}}{16} + \frac{y^{2}}{8} = 1$. Establish a polar coordinate system with the origin as the pole and the positive half-axis of $x$ as the polar axis, and take the same unit of length as the Cartesian coordinate system. The polar equation of curve $C_{2}$ is $\rho^{2} + 2\rho\cos \theta - 1 = 0$.

(Ⅰ) Find the parametric equations of curves $C_{1}$ and $C_{2}$;

(Ⅱ) If points $M$ and $N$ are on curves $C_{1}$ and $C_{2}$ respectively, find the minimum value of $|MN|$.

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