
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
If there are at least three different points on the circle \\({{x}^{2}}+{{y}^{2}}-4x-4y-10=0\\) that are at a distance of \\(2\sqrt{2}\\) from the line \\(l:y=kx\\), then the range of values for the slope of line \\(l\\) is \_\_\_\_\_\_\_\_\\(\\\_.\\)

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