
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
Let the polar equation of curve $l$ be $\rho\cos\theta-\rho\sin\theta+1=0$, and the parametric equation of curve $C$ be $$\begin{cases} x= \sqrt {2}\cos\theta \\ y= \sqrt {2}\sin\theta \end{cases}(\theta\text{ is the parameter})$$, find the length of the segment $AB$.

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