
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 $C_{1}: \begin{cases} x=2+\cos t \\ y=\sin t-1 \end{cases}$ (with $t$ as the parameter), and $C_{2}: \begin{cases} x=4\cos \alpha \\ y=\sin \alpha \end{cases}$ (with $\alpha$ as the parameter), in the polar coordinate system with the origin $O$ as the pole and the non-negative half-axis of $x$ as the polar axis, there is a line $C_{3}: \theta= \frac {\pi}{4} (\rho \in \mathbb{R})$.
1. Find the standard equations of curves $C_{1}$ and $C_{2}$, and explain what curves they respectively represent;
2. If the point $P$ on $C_{2}$ corresponds to the parameter $\alpha= \frac {\pi}{2}$, and $Q$ is a point on $C_{1}$, find the minimum distance $d$ from the midpoint $M$ of $PQ$ to the line $C_{3}$.

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