
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, with the origin as the pole and the non-negative half-axis of the $x$-axis as the polar axis, and using the same unit of length in both coordinate systems, if the polar equation of line $l$ is $\rho\sin (\theta+ \frac {\pi}{4})=2 \sqrt {2}$, and point $P$ is a moving point on curve $C$: 
$$
\begin{cases} 
x= \sqrt {3}\cos \theta \\ 
y=\sin \theta
\end{cases}
(\theta \text{ is the parameter})
$$
(Ⅰ) Convert the equation of line $l$ into a Cartesian coordinate equation;  
(Ⅱ) Find the maximum and minimum distances from point $P$ to line $l$.

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