
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
Given the polar coordinate equation of a circle: ρ² - 4$$\sqrt {2}$$ρcos($$θ- \frac {π}{4}$$) + 6 = 0.
(I) Convert the polar coordinate equation to a standard form and write its parametric equation with appropriate parameters.
(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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