
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
If line $l$: $\rho\sin (\theta- \frac {\pi}{4})= \sqrt {2}$ intersects curve $C$: $\begin{cases}x=t \\ y=t^{2}\end{cases}$ (where $t$ is a parameter) at points $A$ and $B$, then $|AB|=$ \_\_\_\_\_\_ .

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