
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 as _\\(ρ\\)_\\({\,\!}^{2}-4 \\sqrt{2}\\) _\\(ρ\\)_\\(\\cos \\left(\\begin{matrix}θ- \\dfrac{π}{4}\\end{matrix}\\right)+6=0\\).

(1) Convert the polar coordinate equation to a standard equation and write its parametric equation by choosing appropriate parameters;

(2) 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}
user