
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, establish a polar coordinate system with the origin as the pole and the positive semi-axis of the x-axis as the polar axis. Given that the parametric equation of line $l$ is $$\begin{cases} x= \frac { \sqrt {3}}{2}t+m \\ y= \frac {1}{2}t\end{cases}$$ (where $t$ is the parameter) and the polar coordinate equation of curve $C$ is ρsin<sup>2</sup>θ-4cosθ=0 (ρ≥0).

1. Find the general equation of line $l$ and the rectangular coordinate equation of curve $C$.
2. If line $l$ intersects curve $C$ at points $A$ and $B$, and $|AB|=16$, find the value of the real number $m$.

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