
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 choice between coordinate system and parametric equations) In the Cartesian coordinate system xOy, the parametric equations of line $l$ are $$\begin{cases} x=t \\ y=4+t\end{cases}$$ (where $t$ is the parameter). With the origin $O$ as the pole and the positive half-axis of the x-axis as the polar axis, the polar equation of curve $C$ is $$ρ=4 \sqrt {2}\sin(\theta+ \frac {\pi}{4})$$. Then, the number of common points between line $l$ and curve $C$ is \_\_\_\_\_\_.

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