
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 polar coordinate system, the polar coordinate equation of curve C is ρ=6cosθ. Establish a plane rectangular coordinate system with the pole as the origin and the positive semi-axis of the polar axis as the x-axis. The parameter equation of line l is $$\begin{cases} \overset{x=2+tcos\alpha }{y=-1+tsin\alpha }\end{cases}(t$$ is the parameter).
(I) If $$α= \frac {π}{4}$$, find the rectangular coordinate equation of curve C and the polar coordinate equation of line l.
(II) Let point P(2, -1), curve C intersects with line l at two points, find the minimum value of |PA|+|PB|.

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