
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
Given the curve $C$ with the polar coordinate equation $ρ= \frac{4\cos θ}{\sin^2 θ}$, and the line $l$ with the parameter equation $\begin{cases} x=t\cos α \\ y=1+t\sin α \end{cases}$ ($t$ is the parameter, $0≤α≤π$).
(I) Convert the polar coordinate equation of curve $C$ to rectangular coordinates and describe the shape of the curve.
(II) If line $l$ passes through the point $(1,0)$, find the length of the line segment $AB$ intercepted by curve $C$.

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