
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
In the Cartesian coordinate system \(xOy\), the parametric equation for curve \(C_{1}\) is given by 
$$
\begin{cases} 
x=1- \frac { \sqrt {2}}{2}t \\
y=3+ \frac { \sqrt {2}}{2}t
\end{cases}
(t\text{ is the parameter}),
$$ 
and the parametric equation for curve \(C_{2}\) is 
$$
\begin{cases} 
x=1+\cos \phi \\
y=\sin \phi
\end{cases}
(\phi\text{ is the parameter}).
$$ 
In the polar coordinate system with the origin \(O\) as the pole and the positive half of the \(x\)-axis as the polar axis,
1. Find the polar equations for curves \(C_{1}\) and \(C_{2}\).
2. If the ray \(l\): \(θ=α\ (ρ > 0)\) intersects curves \(C_{1}\) and \(C_{2}\) at points \(A\) and \(B\) respectively, find the maximum value of \( \frac {|OB|}{|OA|}\).

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