
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 equation of circle C as $x^2 + y^2 - 2x = 0$, if we take any point on the line $y = kx - 2$ as the center of a circle with radius $l$ and this circle does not intersect circle C, calculate the integer value of $k$.

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