
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 real numbers $x$, $y$ satisfying the equation $(x-3)^2 + (y-3)^2 = 6$, find:
(I) The maximum and minimum values of $\frac{y}{x}$;
(II) The maximum and minimum values of $\sqrt{(x-2)^2 + y^2}$.

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