
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
Taking the origin \\(O\\) of the Cartesian coordinate system as the pole and the positive half-axis of \\(x\\) as the polar axis, with both coordinate systems having equal unit lengths. It is known that line \\(l\\) passes through point \\(P(1,1)\\) with an inclination angle \\(α= \dfrac {\pi }{6}\\).
\\((I)\\) Write the parametric equation of line \\(l\\);
\\((II)\\) Suppose \\(l\\) intersects with the circle \\(ρ=2\\) at two points \\(A\\) and \\(B\\), find the product of the distances from point \\(P\\) to points \\(A\\) and \\(B\\).

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