
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 $C\_1$: $\begin{cases} x=8\cos t \\ y=3\sin t \end{cases}(t\text{ is a parameter})$, establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of $x$ as the polar axis. The polar equation of the curve $C\_2$ is $\rho= \frac {7}{\cos \theta-2\sin \theta}$.
(I) Convert the parametric equation of the curve $C\_1$ into a standard equation, and convert the polar equation of the curve $C\_2$ into a rectangular coordinate equation;
(II) Let $P$ be a point on the curve $C\_1$, and the polar coordinate of point $Q$ is $(4 \sqrt {2}, \frac {3π}{4})$, find the minimum distance from the midpoint $M$ of $PQ$ to a point on the curve $C\_2$.

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