
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
A line tangent to the circle \\(O\\): \\(x^{2}+y^{2}=r^{2}(r > 0)\\) passes through point \\(A(-3,4)\\), with \\(O\\) being the origin and \\(B\\) being the point of tangency. Given that \\(|AB|=3\\),  
\\((\\)Ⅰ\\()\\) find the value of \\(r\\);  
\\((\\)Ⅱ\\()\\) Let \\(P\\) be any point on circle \\(O\\) located in the first quadrant. A tangent line \\(l\\) to circle \\(O\\) at point \\(P\\) intersects the \\(x\\)-axis at point \\(C\\) and the \\(y\\)-axis at point \\(D\\). If \\( \\overrightarrow{OQ}= \\overrightarrow{OC}+ \\overrightarrow{OD}\\), find the minimum value of \\(| \\overrightarrow{OQ}|\\).

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