
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 curve $C$ with the polar equation $2\rho\sin \theta+\rho\cos \rho=10$ and the curve $C_{1}$ defined by the parametric equations $\begin{cases}x=3\cos \alpha \\ y=2\sin \alpha\end{cases}$ (where $\alpha$ is the parameter).

(Ⅰ) Find the Cartesian equation of curve $C_{1}$.

(Ⅱ) If point $M$ moves on curve $C_{1}$, find the minimum distance from $M$ to curve $C$.

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