
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
【Elective 4-4: Coordinate System and Parametric Equations】

In the polar coordinate system with the origin $O$ as the pole and the non-negative half-axis of the $x$-axis as the polar axis, the polar equation of curve $C$ is given by: $\rho = 4\sin\theta$. In the Cartesian coordinate system ${xOy}$, the equation of line $l$ is given by $\begin{cases} x = -1 + \frac{\sqrt{2}}{2}t, \\ y = \frac{\sqrt{2}}{2}t \end{cases}$ (where $t$ is a parameter).

(Ⅰ) Find the Cartesian equations of curve $C$ and line $l$;

(Ⅱ) Given that line $l$ intersects curve $C$ at points $A$ and $B$, find the distance between points $A$ and $B$.

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