
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, the parametric equation of line $l$ is 
$$
\begin{cases} 
x=-4+ \frac { \sqrt {2}}{2}t \\
y=-2+ \frac { \sqrt {2}}{2}t
\end{cases}
$$
where $t$ is the parameter. Now, with the origin 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 curve $C$ is $\rho=2\cos \theta$.  
(Ⅰ) Write the standard equations of line $l$ and curve $C$;  
(Ⅱ) Given that point $P$ is a moving point on curve $C$, find the maximum distance from $P$ to line $l$.

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