
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 rectangular coordinate system, establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of the $x$-axis as the polar axis. The equation of the curve $C_{1}$ is given by $ρ=2\cos θ+2\sin θ$, and the parameter equation of the line $C_{2}$ is given by $\begin{cases} x=-1+t \\ y=-1-t \end{cases} (t \text{ is the parameter})$.
(I) Convert the equation of $C_{1}$ to rectangular coordinates;
(II) Let $P$ be a moving point on $C_{1}$, find the maximum and minimum values of the distance from $P$ to the line $C_{2}$.

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