
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 Cartesian coordinate system $xOy$, the parametric equation of line $l$ is given by $\begin{cases} x=1- \frac { \sqrt {2}}{2}t \\ y=2+ \frac { \sqrt {2}}{2}t\end{cases}$ (where $t$ is the parameter), with the origin as the pole and the positive $x$-axis as the polar axis, a polar coordinate system is established. The polar equation of curve $C$ is $\rho\sin ^{2}\theta=4\cos \theta$. If line $l$ intersects curve $C$ at points $A$ and $B$, then the length of segment $AB$ is \_\_\_\_\_\_.

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