
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 $xoy$, the parametric equation of curve $C$ is $$\begin{cases} x=a\cos t \\ y=2\sin t \end{cases}$$ ($t$ is the parameter, $a>0$). Taking the origin $O$ as the pole and the positive half-axis of $x$ as the polar axis, a polar coordinate system is established. It is known that the polar equation of line $l$ is $$\rho\cos(\theta+ \frac {\pi}{4})=-2 \sqrt {2}$$.
(Ⅰ) Let $P$ be a moving point on curve $C$. When $a=2$, find the minimum distance from point $P$ to line $l$;
(Ⅱ) If all points on curve $C$ are below and to the right of line $l$, find the range of values for $a$.

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