
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 $(xOy)$, a polar coordinate system is established with the coordinate origin as the pole and the positive semi-axis of $x$ as the polar axis. The polar coordinate equation of a certain circle is given by: $ρ^2 - 4ρ\cos θ + 2 = 0$.

(I) Convert the polar coordinate equation to a standard form;

(II) If point $P(x, y)$ is on the circle, find the maximum and minimum values of $x + y$.

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