
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, a polar coordinate system is established with the origin as the pole and the positive semi-axis of the x-axis as the polar axis. The curve C is given by ρsin²θ=4cosθ, and the parametric equations of the line l passing through the point p(2, -1) are: $$\begin{cases} \overset{x=2+t}{y=-1-t}\end{cases}$$ (where t is the parameter). The line l intersects the curve C at points M and N.

1. Write the rectangular coordinate equation of curve C and the general equation of line l.
2. Calculate the length of the line segment |MN| and the product of |PM|•|PN|.

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