
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 curves $C_{1}$: $\begin{cases}x=-4+\cos t \\ y=3+\sin t\end{cases}$ (where $t$ is the parameter), $C_{2}$: $\begin{cases}x=8\cos \theta \\ y=3\sin \theta\end{cases}$ (where $\theta$ is the parameter).
1. Convert the equations of $C_{1}$ and $C_{2}$ into standard form and explain what curves they represent respectively;
2. If the point $P$ on $C_{1}$ corresponds to the parameter $t= \frac {\pi}{2}$, and $Q$ is a moving point on $C_{2}$, find the minimum distance from the midpoint $M$ of $PQ$ to the line $C_{3}$: $\begin{cases}x=3+2t \\ y=-2+t\end{cases}$ (where $t$ is the parameter).

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