
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, there is a line $l$ represented by the parametric equations: 
$$
\begin{cases} 
x=1+ \frac { \sqrt {2}}{2}t \\ 
y= \frac { \sqrt {2}}{2}t
\end{cases}
$$
where $t$ is a parameter. Using the origin $O$ as the pole and the positive $x$-axis as the polar axis, a polar coordinate system is established with the same unit length. The polar equation of curve $C$ is given by $\rho - 4\cos\theta = 0$.
(I) Write the standard equation of line $l$ and the Cartesian equation of curve $C$; 
(II) If line $l$ intersects curve $C$ at points $A$ and $B$, find the value of $|AB|$.

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