
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 polar coordinate system, the polar coordinate equation of circle $C$ is $ρ= \sqrt {2}\cos (θ+ \frac {π}{4})$. Establish a plane rectangular coordinate system with the pole as the origin and the positive semi-axis of the polar axis as the $x$-axis. The parametric equations of line $l$ are $ \begin{cases}x=1+ \frac {4}{5}t \\ y=-1- \frac {3}{5}t\end{cases}(t\text{ is a parameter})$. Find the length of the chord cut off by line $l$ on circle $C$.

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