
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 line _\\(l\\)_ passing through point \\(P(2,1)\\) with an inclination angle \\(a= \dfrac{π}{4} \\),
\\((1)\\) Write the parametric equation of line _\\(l\\)_;
\\((2)\\) Suppose line _\\(l\\)_ intersects circle \\(O\\) with \\(ρ=2\\) at two points \\(A\\) and \\(B\\), find the length of segment \\(AB\\).

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