
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 equations of line l are $$\begin{cases} x=- \frac { \sqrt {2}}{2}t \\ y=a+ \frac { \sqrt {2}}{2}t\end{cases}$$ (where t is the parameter and a ∈ R). Establish a polar coordinate system with O as the pole and the positive semi-axis of the x-axis as the polar axis. The polar equation of curve C is ρsin<sup>2</sup>θ=2cosθ.

1. Find the general equation of line l and the rectangular coordinate equation of curve C.
2. If line l passes through point P(1, 1) and intersects curve C at points A and B, find |PA| + |PB|.

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