
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 rectangular coordinate system $(xOy)$, a polar coordinate system is established with the origin $O$ as the pole and the positive semi-axis of the $x$-axis as the polar axis. If the polar equation of the line is $ρ\cos θ=4$ and it intersects with the curve $ \\begin{cases}x=t^{2} \\\\ y=t^{3}\\end{cases}(t$ is the parameter$)$ at points $A$ and $B$, then the distance $|AB|$ is equal to \_\_\_\_\_\_.

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