
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 line $l: 2x - y + m = 0$, where $m \in \mathbb{R}$, and the circle $C: x^2 + y^2 = 5$.

(I) For what values of $m$ does $l$ have no common points with $C$?

(II) For what values of $m$ is the length of the chord cut by $l$ on $C$ equal to $2$?

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