
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 Cartesian coordinate system xOy, point P (1, -2) is given, and line l is defined by the parametric equations $$\begin{cases} x=1+t \\ y=-2+t\end{cases}$$ (where t is a parameter). With the origin as the pole and the positive x-axis as the initial line, a polar coordinate system is established. The polar equation of curve C is $\rho\sin^2\theta=2\cos\theta$, and the intersection points of line l and curve C are A and B.  
(1) Find the standard equations of line l and curve C;  
(2) Calculate $|PA|+|PB|$.

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