
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 line $l$: $\begin{cases} x=1+ \frac {3}{5}t \\ y= \frac {4}{5}t \end{cases}$ (where $t$ is a parameter), intersects with the curve $C$: $\begin{cases} x=4k^{2} \\ y=4k \end{cases}$ (where $k$ is a parameter) at points $A$ and $B$. Find the length of the segment $AB$.

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