
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 that the pole of the polar coordinate system is at the origin O of the plane Cartesian coordinate system, the polar axis coincides with the positive half-axis of the x-axis, and the unit of length is the same; the equation of curve C is $$ρ=2 \sqrt {2}\sin(θ- \frac {π}{4})$$, and the parametric equation of line l is $$\begin{cases} x=2+t\cosα \\ y=1+t\sinα\end{cases}$$ (t is the parameter, $0≤α＜π$), let P(2,1), and line l intersects curve C at points A and B.  
(1) When $α=0$, find the length of |AB|;  
(2) Find the range of values for $|PA|^2+|PB|^2$.

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