
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 plane rectangular coordinate system xOy, the origin is taken as the pole, the positive semi-axis of the x-axis is taken as the polar axis, and the polar coordinate system is established. The same unit length is adopted in both coordinate systems. The polar coordinate equation of the curve C is ρ = 4$\sqrt {2}$cos(θ - $\frac {π}{4}$), and the parameter equation of the line is $\begin{cases} x=2+ \frac {1}{2}t \\ y=1+ \frac { \sqrt {3}}{2}t\end{cases}$ (t is the parameter).

1. Find the rectangular coordinate equation of curve C and the general equation of line l.
2. Suppose point P(2, 1), if line l intersects curve C at points A and B, find the value of $| \frac {1}{|PA|} - \frac {1}{|PB|} |$.

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