
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 rectangular coordinate system xOy, the parametric equation of curve C is $$\begin{cases} \overset{x=1+cos\alpha }{y=sin\alpha }\end{cases}$$ (α is the parameter), the parametric equation of line l is $$\begin{cases} \overset{x=1-t}{y=3+t}\end{cases}$$ (t is the parameter), and in the polar coordinate system with the coordinate origin as the pole and the positive semi-axis of the x-axis as the polar axis, the ray m is θ=β (ρ>0).
(I) Find the polar coordinate equations of C and l;
(II) Suppose m intersects C and l at distinct points A and B from the origin, find the maximum value of $$\frac {|OA|}{|OB|}$$.

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