
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 a circle \\(C: x^2 + y^2 + x - 6y + m = 0\\) and a line \\(l: x + 2y - 3 = 0\\).

\\((I)\\) If line \\(l\\) and circle \\(C\\) have no common points, find the range of values for \\(m\\).

\\((II)\\) If line \\(l\\) intersects circle \\(C\\) at points \\(P\\) and \\(Q\\), and \\(O\\) is the origin with \\(OP \perp OQ\\), find the value of the real number \\(m\\).

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