
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
Given the parametric equation of line $l$ as: $ \begin{cases} x=2+ \frac { \sqrt {2}}{2}t \\ y= \frac { \sqrt {2}}{2}t \end{cases} (t \text{ is the parameter})$, establish a polar coordinate system with coordinate origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis. The polar equation of curve $C$ is $ρ=2\sin θ-2\cos θ$.
(I) Find the ordinary equation of curve $C$.
(II) Find the length of the chord intercepted by line $l$ on curve $C$.

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