
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
Let the parametric equation of curve \\(C_{1}\\) be \\( \begin{cases} x=t \\ y=t^{2} \end{cases} \\) (where \\(t\\) is the parameter), and establish a polar coordinate system with the origin of the Cartesian coordinate system as the pole and the positive half-axis of \\(x\\) as the polar axis. For curve \\(C_{2}: \rho\sin (\theta- \frac {\pi}{3})=1\\)  
\\((1)\\) Find the polar equation of curve \\(C_{1}\\);  
\\((2)\\) If curve \\(C_{1}\\) intersects with curve \\(C_{2}\\) at points \\(A\\) and \\(B\\), find the length of chord \\(AB\\).

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