
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 polar equations of circle \\(O_{1}\\) and circle \\(O_{2}\\) are \\(\rho=2\\) and \\(\rho^{2}-2 \sqrt{2}\rho\cos \left( \theta- \dfrac{\pi}{4} \right)=2\\), respectively.

\\((1)\\) Convert the polar equations of circle \\(O_{1}\\) and circle \\(O_{2}\\) into Cartesian coordinate equations;

\\((2)\\) Find the polar equation of the line passing through the intersection points of the two circles.

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