
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 a polar coordinate system, the pole is the origin of the rectangular coordinate system $(xOy)$, and the polar axis is the positive semi-axis of the $x$-axis. The length units in both coordinate systems are the same. Given that the polar coordinate equation of curve $C$ is $ρ=2(\cos θ+\sin θ)$, and the line $l$ with a slope of $\sqrt {3}$ intersects the $y$-axis at point $E(0,1)$.

(I) Find the rectangular coordinate equation of $C$ and the parametric equation of $l$;

(II) Line $l$ intersects curve $C$ at points $A$ and $B$. Find $|EA|+|EB|$.

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