
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 $xoy$, the parametric equation of the line $l$ is $ \begin{cases} x= \frac {1}{2}t \\ y= \frac { \sqrt {2}}{2}+ \frac { \sqrt {3}}{2}t \end{cases} (t $ is the parameter$ )$, and the parametric equation of the curve $C$ is $ \begin{cases} x= \frac { \sqrt {2}}{2}+\cos α \\ y= \frac { \sqrt {2}}{2}+\sin α \end{cases} (α $ is the parameter$ )$. The line $l$ intersects the curve $C$ at points $A$ and $B$. Find the length of $AB$.

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