
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 a right-angle coordinate system with its origin $O$ as the pole, the positive semi-axis of the $x$-axis as the polar axis, and both coordinate systems having equal length units $.$, the parametric equation of line $l$ is $ \begin{cases} x=t\sin \phi \\ y=1+t\cos \phi \end{cases} (t$ is the parameter, $0 < φ < π$), and the polar coordinate equation of curve $C$ is $ρ\cos ^{2}θ=4\sin θ$.
(I) Find the ordinary equation of line $l$ and the rectangular coordinate equation of curve $C$;
(II) Let line $l$ intersect curve $C$ at points $A$ and $B$. As $φ$ varies, find the minimum value of $|AB|$.

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