
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 plane $(xOy)$, the parametric equations of line $(l)$ are given by $\begin{cases} x= \frac {2 \sqrt {5}}{5}t \\ y=1+ \frac { \sqrt {5}}{5}t\end{cases}$ (where $t$ is the parameter). Line $(l)$ intersects the parabola $y^{2}=4x$ at points $A$ and $B$. The length of the line segment $AB$ is _____.

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