
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, with the origin O as the pole and the positive x-axis as the polar axis, a polar coordinate system is established. If the line defined by the polar equation $\rho\cos\theta = 4$ intersects with the curve defined by the parametric equations $x = t^2, y = t^3$ (where t is the parameter) at points A and B, then the length of the segment |AB| is ______.

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