
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
【Elective 4-4: Coordinate System and Parametric Equations】

In the polar coordinate system, the polar equation of curve \\(C_1\\) is \\(\rho =\dfrac{24}{4\cos \theta +3\sin \theta }\\). Taking the pole as the origin \\(O\\) and the polar axis as the positive half-axis of the \\(x\\)-axis (the two coordinate systems use the same unit length) in the Cartesian coordinate system \\(xOy\\), the parametric equation of curve \\(C_2\\) is: \\(\begin{cases} & x=\cos \theta \\ & y=\sin \theta \end{cases}(\theta\\) is the parameter).

\\((1)\\) Find the Cartesian equation of curve \\(C_1\\) and the general equation of curve \\(C_2\\);

\\((2)\\) After curve \\(C_2\\) undergoes a scaling transformation \\(\begin{cases} & x' = 2\sqrt{2}x \\ & y' = 2y \end{cases}\\), it becomes curve \\(C_3\\). If \\(M\\) and \\(N\\) are points on curves \\(C_1\\) and \\(C_3\\) respectively, find the minimum value of \\(|MN|\\).

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